diff --git "a/data/dm_maths/full_data/10414_11255.jsonl" "b/data/dm_maths/full_data/10414_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10414_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-1 + 1 - 2*c)*(2 - 1 - 3) + (-2 + 4 - 1)*(3 - 3 + c) + 6*c - 2*c - 3*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qiqiiqiqii?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24640 divided by 4.\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/116*(-1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 509, 957, 1457, 2009, 2613?\n\"Answer: 26*x**2 + 370*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 + 6*n. Let t(w) = 4*w**2 + 4*w + 4348 - 2176 - 2172. Let p = 11 + -8. Let m be (7\/p + 0)*-3. Determine m*t(y) + 5*u(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -5*r - 12, h = -r. Let j(k) be the third derivative of 0*k + 0 + 7*k**2 + 2\/3*k**h - 1\/24*k**4. What is the derivative of j(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = p - 2, 3*p + 37 = -4*j + 43 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 495.8887 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38078669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433414 + -3?\nAnswer: -433422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -l + i, -3*l + 147*i - 27 = 151*i for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 922868916 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 14) in base 16?\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/13)*m\/(m*m**1)*(m\/(m\/(m*m*m**32*m)))\/m**(25\/2))**(7\/9) assuming m is positive.\nAnswer: m**(4109\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -168\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-86)\/(6\/963). Is m\/(-11) - -1*(-6)\/(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3624 = -156. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxtjxjjxjojj. Give prob of sequence xtx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -5, 0.1 in ascending order.\nAnswer: -5, 0.1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 730.2 to the nearest 10.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6944160 by 3.\nAnswer: 2314720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n = 306*n + 2*f + 31, 39 = 5*n + 2*f for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102, -60, -614, -1794, -3834, -6968, -11430, -17454?\n\"Answer: -39*y**3 + 38*y**2 - 3*y + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262647 hours in minutes?\nAnswer: 15.75882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 6, o: 9}. Give prob of sequence mo.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 262243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33) - (-65)\/(-15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 plus 2411225?\nAnswer: 2411156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 105.7. Is h > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4765 - 2847. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, -323, -939, -1801, -2909, -4263, -5863?\n\"Answer: -123*d**2 - d + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 35*l. Let k(s) = 350*s. What is -2*k(i) + 21*z(i)?\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 25?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23135639 or 0?\nAnswer: 23135639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Find the second derivative of -k - s*k + k - k**3 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - 10*s**3 + 3*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/18)\/((-3)\/(-54)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -60, 566.\nAnswer: -60, 2, 3, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 594 - 511. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-85)\/(-17) + (0 - -7). Suppose 2*p - 5 = -3*n + 3, 0 = 4*n + 3*p - u. Suppose 0 = 3*l + 9 - n, -5*m + 307 = l. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*o - 2*o. Let r be 42\/(-22) + o\/((-16)\/4). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 2*g + 274*g**2 - 5*g.\nAnswer: 274*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -8. Let f = r - 8.3. What is the biggest value in -2\/13, -1\/9, f?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -50\/7 (b) -0.3 (c) -0.0536 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1327231*g**3 - 314425*g + 1 wrt g.\nAnswer: -7963386*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-25)\/(-45) + (-3 - (26 - -3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)*j)\/j)**(-7\/3)*(j**(-10))**47 assuming j is positive.\nAnswer: j**(-2827\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:07 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -5*k + 47, 2*m + 2565 - 2587 = -2*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -4. Let w be 43\/9 + n\/(-18). Solve -w*y**4 - 3*y**3 - 2*y**5 + 7*y**3 - 2*y + 5*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -6. Let r = -6.08 + u. Let g = -5 - -5. Is r < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -6, -3, 28, -0.1 in descending order.\nAnswer: 36, 28, -0.1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -1653.\nAnswer: 1653.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(47\/(188\/(-12))*2\/(-78)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(7\/6)*v)\/v))\/v**(-1)*(v\/(v\/v**(1\/2)*v))**(2\/61) assuming v is positive.\nAnswer: v**(299\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14018?\nAnswer: 2, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -4*j - 2*n - 4, 3*n + 13 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 2\/15 (c) 6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 212.\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 4*r**5\/35 + r**4 - 544*r**3\/21 + 256*r**2\/7 + 2568. Let u(v) = 0. Calculate v.\nAnswer: -16, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493.687 decades in years?\nAnswer: 24936.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283649\/179842 - 2\/6917. Calculate the common denominator of k and 53\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61ea1 (base 15) in base 2?\nAnswer: -1001011110010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1490 + 2856*h + 1490 - h - h - h + (1 - 1 + 1)*(-4*h + h + 4*h) to d + f*h and give f.\nAnswer: 2854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16865876 + 6*m**3 + 16865876.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 3, g: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.53 + -32.27. Let i = -18.5 - v. Round i to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27064 + 27096. Solve -2*c + n*c = -210 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 58*u - 1. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 6*g - 3. Suppose 2*c - 3*w - 22 = -2*c, c = 3*w + 10. Let m be i(c). Let n = 117 - 104. What is the highest common factor of n and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -1010\/11. Let n = 0.04 + -0.18. Let x = n + 0.64. What is the second smallest value in 3, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:34 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -177 (b) -5 (c) -2\/19 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 2:33 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**3 + 3*w**2 + 11*w - 9. Let b(n) = n**3 - n + 1. Let o(m) = -6*b(m) - v(m). Let q be ((-4)\/(-3))\/4*9. What is o(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13234a4 (base 12) to base 3.\nAnswer: 21010000221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + m - 5. Let s be q(5). Let v be (1 - 1)\/(1 + s). Let o(u) = u**3 + 24*u**2 - 80*u + 32. Let n be o(-27). Solve v = -3*p + n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 14092545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988859 is divided by 1385.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 46*d + 9 = 0. Sort d, 2, -9 in descending order.\nAnswer: d, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*m - 3448216 = 4701195, 6*m = -12. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 66450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-15)\/6)\/5. Let w be ((2 - -1) + -6)*r. Let d(x) = -w*x - 2*x + 5*x - 2*x - 5. Calculate d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + 0.01. Let a = 1014723\/4 - 255164. Let u = 1483 + a. Do u and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/8)\/((-2)\/(-8) + -1). Let z(s) = s**3 - 2*s**2 + 1. Let h be z(1). Suppose k = -h*k + 2. Solve -y = 2*d + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Suppose -8 - 12 = -n*h. Sort h, -2, 3 in descending order.\nAnswer: h, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 + 1\/4*d**3 - 35\/4*d + 9\/2 = 0 for d.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301201 (base 6) in base 7?\nAnswer: 125566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739*q = -2809*q + 5599*q - 2499 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(-1534)\/7198*-61.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6280*b - 6284*b = -4*k, 0 = -3*b + 5*k - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 83*z**2 + z + 1. Let t be p(-1). Suppose 2*x = t + 223. Let d = -19 - -36. What is the highest common divisor of x and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 0.3, -2\/3, -1\/3 in ascending order.\nAnswer: -2\/3, -1\/3, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from ooooowoooowowowoowo?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65102 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, -7, -0.2, -3, -27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 1023. Calculate the remainder when a(-21) is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243\/48263 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/((-3)\/40 - 0). Suppose -9*r - l = -4270. Is r a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (461\/5)\/(176\/55). Let d = z + -29. Find the common denominator of -97\/18 and d.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9598047 kilograms to nanograms.\nAnswer: 959804700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12 = 3*f. Which is the nearest to -0.2? (a) -2\/3 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(sqrt(2025) - (2*sqrt(2025) + sqrt(2025) - sqrt(2025))))\/((-5*1*sqrt(5) - sqrt(5)) + -4*sqrt(20)) + -5.\nAnswer: -2 + 9*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -809, -3299, -7467, -13313, -20837, -30039, -40919?\n\"Answer: -839*i**2 + 27*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109 = 4*a - 4*v - 3757, 5*v + 2649 = 4*a. Suppose -2*x - n + 3*n = 344, -5*n = 4*x + a. Let u be (x\/(-52))\/((-2)\/(-8)). Solve u = 3*f + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4831445, 4831441, 4831435, 4831427, 4831417?\nAnswer: 4831405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 739*k**5\/20 + 868*k**2 + 1777*k. Find the first derivative of g(f) wrt f.\nAnswer: 2217*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -37 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o + 31*o + 13*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/10)\/((-8)\/(-20)). Let s(w) = w**2 - 2*w. Let c be s(g). Let -3*v**4 - 2*v + c*v**2 + 2*v**3 + 5*v**4 - 5*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8705554 rounded to the nearest 10000?\nAnswer: -8710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4380 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -3. Suppose k*a = -a + 455. Suppose 324 = 4*f + 4*q, -f + 3*q = 2*q - a. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 240050925.507 and -0.7.\nAnswer: 240050924.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21410367 and 341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + (2 - 9 - -26) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 3*x + 0 - 1. Let o(t) = t. Let l(p) = 3*o(p) + y(p). Suppose 5*c + 20 = 3*r, -4*r = -c - 4 - 0. Calculate l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 + 21*y**2 - 5*y. Let p(k) = -2*k**3 + 7*k**2 + k - 1. Let o(l) = 2*p(l) - r(l). Determine o(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1344))\/sqrt(7) - (sqrt(3) + (sqrt(27) + -1)**2 + sqrt(12) + 1).\nAnswer: -29 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -9*n + 14. Let l(r) = 3*r**2 - 2. Let w(s) = -48*s**2 + 33. Let t = -44 - -77. Determine n*w(x) + t*l(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 619*w**3\/3 + 110*w - 586. What is the first derivative of f(h) wrt h?\nAnswer: 1238*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*i + 20 = 0, i + 8 = -2*c - i. Let w = 42832 + -42832. Put 2, 5, c, w in ascending order.\nAnswer: c, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 5*o**3 + 9*o**3 + 11*o**2 + 6*o + 8 - 3*o**3. What is the smallest common multiple of z(-10) and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 12:57 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 13. Let r be p(6). Let j = -52 + r. Solve -j*k - 8 = -4*n + 8, 2*k + 9 = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/3 + 3980*g\/3 - 27566 = 0. Calculate g.\nAnswer: 21, 1969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-288) - (1 + 14\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 + 13*k - 6. Let z(n) = 15*n**2 + 25*n - 12. Let f(b) = 11*y(b) - 6*z(b). Let h be f(4). Let j = -46 - h. Solve -7*i = -3*i - j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - m - 21, 11 = -5*m - 27 + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 5. Let h = -23 + 17. Let c(j) = -4*j + 3. Let g(l) = h*d(l) - 10*c(l). Let r(k) = -5*k**2. Calculate g(r(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2536*g + 2264*g + 313827 = 501*g for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aaa + -3?\nAnswer: -aad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/185?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = 462. Suppose 2*d - 237 = 5*l, 0 = 4*d + 2*l - 0*l - q. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-4)\/(-60)). Suppose 6*i - 2*i + c*g = 0, 2*i = 5*g + 30. Let n = -0.08 + 4.08. What is the closest to 1\/3 in n, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*x - 7 = 0, -n - 2*x + 6 = -2*n. Let i = -154 - -141. What is the nearest to i in n, -0.5, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -36, -81, -148, -243, -372, -541?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -115*c. Let y(s) = -6*s**2 - 3*s. Determine v(y(a)).\nAnswer: 690*a**2 + 345*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:40 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 28 - (1 - 1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/7*(-14)\/(-4))\/((-60)\/((-12960)\/(-36)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -199. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 3. Let l be k(3). Suppose -15 = a - 2*a + 2*u, 0 = -5*a - 2*u + 15. Suppose 4 = 3*p - 5. Solve p*r = -5*g - l*r - a, 6 = -4*g - 2*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let u be (-8)\/s + 4\/12. Suppose -5*i + 6 = u*r, -r + 0 + 2 = 2*i. Solve r*j = 8, 2*c + 2*j + 0 - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w + 28. Let j(a) = 4*a**2 - 6*a + 4. Let p(f) = -3*f**2 + 4*f - 3. Let s(i) = w*p(i) - 5*j(i). Let h be s(-1). Solve -r = -h*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51224 is divided by 49461?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 5, -65 in decreasing order.\nAnswer: 5, 3, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/2 + 47\/10. Let u = -5 - -2. Which is the third biggest value? (a) 0 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.346 - -68?\nAnswer: 67.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.485 - -34.41.\nAnswer: 23.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17532 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: What is the common denominator of 53\/14 and -87\/22526?\nAnswer: 22526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3*1\/3. Let w be (24\/(-16))\/((-1)\/n). What is the second derivative of -j - j - w*j**3 + 4*j wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184.7 + 27.7. Let z = -156.9999889 - q. What is z rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/7 + 46269180*w\/7 - 46269182\/7 = 0.\nAnswer: -23134591, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 680 and -0.44218429.\nAnswer: 679.55781571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.689574 micrograms?\nAnswer: 6689.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73.5 + -73.6. Let d = -46 - -59.2. Let i = d + -1.2. What is the nearest to 0.1 in c, -3, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -29 - w**2 + 29. Calculate m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039136185 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-10 + 1 + -7 + -76)) + (44 - 43).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65869*t + 65869*t - 11*t**2 - 66*t**2 + 3.\nAnswer: -77*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237440?\nAnswer: 2, 3, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**3 - 4*l**2 + 2*l + 6. Let y(u) = 7*u**3 - 4*u**2 + 2*u + 5. Let j be -6*(0\/(-1) - -1). Let x(q) = j*y(q) + 5*p(q). What is d in x(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619959?\nAnswer: 3, 197, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (-32 - -173 - 45).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1962 = -9*t + 216. Let j be t\/6 + -5 + 1. Which is greater: j or -37?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29938672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*q = -14*q + 254 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-58124)\/(-24) - (-5 - 140\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32011 + 630545?\nAnswer: 565534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016709 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.56503, -25, -1 in ascending order.\nAnswer: -25, -1, 10.56503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)*m)\/m*m**(-7))**(-16)\/((m**1*m*m\/(m\/(m*m*m*m*m**(-7)*m)*m)*m)\/(m\/m**(-2))**(-3\/5)) assuming m is positive.\nAnswer: m**(531\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116628 and 7284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 = 11. Let z be (-2)\/(1*m\/(-12)). Let t be (-1 + -2)\/((-12)\/z). Solve f + 2 + t = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.25658591.\nAnswer: 2.5658591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 c when four letters picked without replacement from ltthpcrcpphltpltptlc.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31515 + -32469.08. Let c = a - -976. Let m = 21 - c. What is m rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*l**3 - 54*l**3 + 40*l**3)*(-3 - 2 + 6) in the form d*l**3 + n + i*l**2 + h*l and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75977837 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17173.\nAnswer: 13, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16334 - 66. Round z to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab - 76a4a?\nAnswer: -76b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5*y - 3. Let z be 5\/(1 - (-8)\/12). Calculate v(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 2 (b) 17416 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:49 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 - t**2 + t - 1. Let a be g(1). Suppose -a - 21 = -5*x. Suppose -x*r + 5*h + 745 = 0, h - 4*h = 4*r - 589. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 0. Suppose 0 = 4*w - f*w. Solve d + 0*d + 2 = w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/((-10)\/(-9))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfgmjjhhmj. What is prob of sequence gj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45492334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/4 + 104223*k**2\/2 - 416856*k + 833688 = 0 for k.\nAnswer: 4, 69474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80\/57 + 278\/171. Which is the closest to z? (a) -4 (b) -5 (c) 5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/11 (b) 2\/27 (c) 6\/29 (d) -176 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c - 2*o = -4*o + 168, 2 = -3*c + c + 5*o + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 11*f - 9*f - 11*f.\nAnswer: -47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, 1 l, and 1 h when four letters picked without replacement from alhzahhhahhpz.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -583, -1161, -1717, -2239, -2715?\n\"Answer: 2*s**3 - s**2 - 589*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*x + 1 = -139*x, 4*x = -4*f + 1896. Suppose 0 = -3*j + 173 - 44. Calculate the greatest common factor of j and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**5 + 4*n**4 + 3*n**3 + 2*n**2 - 3*n + 7. Let r(d) = d**3 + d**2 - d. Let a(y) = q(y) - 3*r(y). Find the third derivative of a(g) wrt g.\nAnswer: -120*g**2 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14*s*s**(-19)*s)\/((s**(4\/9)*s)\/(s\/((s\/s**(1\/15)*s)\/s))) assuming s is positive.\nAnswer: s**(-197\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1978\/7 + -282. What is the smallest value in 2\/9, 1\/2, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3447151?\nAnswer: 19, 397, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -2325, -33, -0.03, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 2402938.225.\nAnswer: 2402930.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 236, 287, 354, 455?\n\"Answer: 3*r**3 - 19*r**2 + 89*r + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07414 to four dps.\nAnswer: -0.0741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3536 - 1114*w - 3536)*(-3 + 4 + 1).\nAnswer: -2228*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3.6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w + 1. Let k be (-384)\/12*1\/(-2). Let d(b) be the third derivative of 13*b**4\/12 + b**3 + 17*b**2. Calculate k*x(n) - 3*d(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11500195 + -0.0935006. Let p = j - 0.0215. What is p rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 526658 times 0.1\nAnswer: 52665.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -405.262299 - -264.\nAnswer: -141.262299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 14\/3*s + 4\/3 - 10\/3*s**4 + 2*s**2 - 14\/3*s**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1582399 > -1582399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -6, -2.\nAnswer: -6, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15047 = -4*g, -15046 = -34*g + 30*g + 2*u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyhqyea. What is prob of picking 1 e and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110955, 111075, 111195, 111315, 111435, 111555?\nAnswer: 111675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2, -4*s - 3*z - 17 = -0*z. Which is the smallest value? (a) s (b) 3\/2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -151\/2? (a) 1 (b) -0.5 (c) 3 (d) 10.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 12:43 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 1:08 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**3 - 7*k**2 - 12*k - 4. Let i be h(-3). Let w = i + 195. Solve -4*d - 20 = 5*o - 0*d, 0 = o + w*d + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from mmsrrrwmmmmrryym?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3577 (b) -5 (c) -208.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:46 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**33)\/(n*n**22))**(-43) assuming n is positive.\nAnswer: n**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 24 = 20*i. Let f(t) be the second derivative of t**4\/12 + t**3\/6 + t**2\/2 + 13*t. Give f(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011201212121 - 112?\nAnswer: -10011201220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 - f**2)*(-f - 2 + 2) - 14*f**3 - 4*f**3 + 4*f**3 + (f + 0*f - 2*f)*(-3*f**2 + 3*f**2 - 2*f**2)*(6 - 3 + 10).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -176\/5 less than or equal to -1.135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16*(-48)\/(-7 + 13). Suppose -2*f - 8 = -4*j, -4*j - 4*f + 8 = -2*f. Suppose 2*p - 64 = -j*p. What is the greatest common divisor of s and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231474928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 14*p - 7. Let q be h(-6). Suppose q*j = 7*j. Solve j*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00890238 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 137, 146, 159, 176, 197, 222?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 9*l - 3. Let f(o) = -3*o**2 - 26*o + 10. Let d(h) = 2*f(h) + 7*q(h). Let g be d(-12). Suppose 0 = x + g - 66. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 445 = 4*u + u, z = -u + 81. Suppose -4*q = -z - 23. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(45)*3.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 92 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7825292, -7825295, -7825298, -7825301, -7825304, -7825307?\nAnswer: -7825310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from ggwgwfggwwgf?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 46\/18 - 0. Let j = 2195 - 19729\/9. Let i = j - q. Is 3 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2. Let v(n) = -677*n**2. Calculate v(k(x)).\nAnswer: -6093*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Let w(t) = t**2 - 6*t - 6. Let p be w(6). Let j be 0\/(p\/(-2)) - 2. What is the closest to k in 1, j, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.16 + -8.16. Suppose 3*n = -5*x - 12, -5*x - 10 = 4*n + 1. Which is the nearest to n? (a) 0.4 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836916562?\nAnswer: 2, 3, 19, 24885233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9544 + 0.0456. What is the nearest to 1 in 7, -2\/11, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/356)\/(8\/(2240\/(-35)))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 3}. Give prob of sequence zcz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504413 (base 6) in base 14?\nAnswer: 1077b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/350 (b) -5 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9)*3 - 22\/(-16). Suppose 5*j - 2*m - 1 = 0, 0*m = -5*j - 2*m + 9. Suppose -2*a = v - 6, -4*v - j = -3*a - 3. Put a, 1\/7, o in increasing order.\nAnswer: 1\/7, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/213440 and 131\/2760.\nAnswer: 640320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 4397 - 8843 = 0. Let d = t - -1062. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 4, 1, 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130\/78 + (-2)\/(-6). Solve 4*n - 5*m = 29, -l*n + 6*n + 4*m = -16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 6*y**2 + 6*y - 5. Let m be b(-7). Find the common denominator of -65\/4 and 11*(22\/21 - m\/3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let o(n) be the third derivative of 0*n**4 + 3\/20*n**5 + 0*n + 0*n**3 + 0 - 5*n**2. Determine c(o(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 2*c + 6*c. Let p(d) be the first derivative of -35*d**2 - 133. Determine l(p(g)).\nAnswer: -70*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/27 and 47\/858376878?\nAnswer: 7725391902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6588103 millilitres in litres?\nAnswer: 0.0006588103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18712 = 2*x - 4*p, 2*x - 58*p - 18706 = -53*p. List the prime factors of x.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*45*1748\/10. Suppose -27*u + 318 = -t. What is the remainder when u is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -4 in increasing order.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5793 and -61\/30.\nAnswer: 57930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 9 (c) -4 (d) -1\/3 (e) 1\/11 (f) 130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*((3*w - w + 0*w)*(-2 - 5 + 1) + 48*w - 37*w + 59*w)*(1 - 3 - 1) as l + d*w and give d.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 759*n**2 - 15*n + 84363 wrt n.\nAnswer: 1518*n - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -1\/27*f**4 + 1\/270*f**5 + 1\/9*f**3 - 25*f**2 + 0 + 0*f. Find x, given that w(x) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41553, 83132, 124739, 166380, 208061, 249788, 291567?\n\"Answer: h**3 + 8*h**2 + 41548*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -2*sqrt(72))\/sqrt(6) + (sqrt(12) + (0 + sqrt(12))*5 + sqrt(12))**2.\nAnswer: 6*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htktkhktt. What is prob of sequence kktk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138929, -277852, -416775?\n\"Answer: -138923*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162800.7 decades to millennia.\nAnswer: 1628.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8\/60 + (91732\/30)\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 greater than 783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, 0.02 in ascending order.\nAnswer: -23, -3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2024 and 54\/11.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -15*y + 688. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14. Let m(y) = 1422*y + 19908. What is m(a) - 1422*o(a)?\nAnswer: 1422*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*y = -1909, 5*u - 4*y = -3*y + 1913. Suppose 277 = 4*s - u. Suppose -g = 2*g + c - 111, 5*g - 5*c = s. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 22 = 4. Suppose -627 = -16*z + y*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990105 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 637, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573, -574, -575, -576, -577, -578?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 + -0.5. Let k = 2.2 + s. Let q = 78 - 76. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 9) + -9 - -10 - (3 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222 + k**2 + 1222.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203068 is divided by 792.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 37939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 667, 689, 687, 649, 563, 417, 199, -103?\n\"Answer: -2*o**3 + 36*o + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 8*m - 12*m)*(-4*m + 3*m + 2*m)*(-4 + 1 - 1).\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19772225\/196 - -100879. Find the common denominator of 163\/1080 and r.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-10))\/((-3)\/4). What is the first derivative of r**2 - 5 + 2*r**x + 1 + 0*r**2 wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*i - 6 - 2, -9 = 3*i. Suppose 4*q - 5 = -l. What is the tens digit of (-50)\/(-4)*(q - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 72 + 34 = j, 0 = -3*j + 3*w + 12. Let q be (-32)\/30 - 2\/(-3). Sort 0, 0.4, q, j in descending order.\nAnswer: 0.4, 0, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 7. Let g be x(9). Let w = g - -28. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o = -26*o - 45. Solve -2*j = -4*w - 10, 9*j + 9 = -o*w + 8*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 - 28 = 4*o, -4*f - 5*o + 38 = 0. Suppose -2*a = f - 266. What are the prime factors of a?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:47 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 35*v**2\/2 + 3*v + 1287. Let u(j) = 10*j**2. Give l(u(c)).\nAnswer: 350*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 80*d + d**2 - 80*d - 3. What is the units digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353 times 28\nAnswer: -9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-958)\/(-14) + (-10)\/(-35). Let o = i - 69. What is the closest to 0.1 in -4\/3, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 735588614 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -28218 >= 0.021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6.08. Let d = g - -4.92. Let v = 10 + -9.5. Which is the closest to 2\/5? (a) 0.4 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1280 - 878. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*w = 257*w - 166 - 94. Put 1, 2, w, -1 in ascending order.\nAnswer: -1, 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 - -1011. What is the highest common divisor of 440 and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 9*w - 5*w + w + 2*w as u + q*w and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1213 + 1216. Solve -4*l + 5*l = -x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 - 7*i - 6. Determine t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 359\/6 - 60. Suppose -3*p + 1 = a, -2*a = -10*p + 5*p + 9. What is the biggest value in y, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -156, 0, -508, -3 in increasing order.\nAnswer: -508, -156, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158833 take away -1980692320?\nAnswer: 1980851153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 183*k + 6731. Give x(51).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - 0.42. Let r = o + 0.5. Let k be 3\/(-4)*10\/15. Which is the nearest to -0.1? (a) -2 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 2. Let p(a) = -a**3 + 16*a**2 - a + 18. Let u be p(16). Suppose -2*z - 6*j = -j + u, 3*j = z + 1. Calculate l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117840 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2591 divide 4375311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 0, -3*j + r - 2*r = -1906. Suppose 2*f = -5*i + 809, 0 = 2*i + 2*i - 5*f - j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 2*n**2 - n**2)*(n - 2 + 4*n - 3*n + 3*n**2).\nAnswer: 9*n**4 + 6*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301914790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -44.4.\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**4 - 2*k**3 + 11. Find the third derivative of h(o) wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 22. Let t be (21 + -26)*(-7)\/((-105)\/(-12)). Solve -t*v = -v - u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 2*v**4\/3 - 4*v - 13. Let j(x) = -44*x. Calculate j(q(n)).\nAnswer: -352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + -3 + 0.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43094874?\nAnswer: 2, 3, 439, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -17*s**3 - 5*s**2 + 2*s + 65. Is d(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7358076 and 0.16.\nAnswer: 1177292.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 550 = 0. What is the common denominator of (-7 + (-2205)\/18)*3\/(-35) and u\/96 + (-3)\/(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126840 and 15855.\nAnswer: 126840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6580000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 186\/1427 (c) -4\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/((-8)\/6))\/(-3). Put 3, -31, -4, l in decreasing order.\nAnswer: 3, l, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/6)\/(15\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 24 = -20*l. Suppose n + l*t - 600 = -t, 0 = n + 5*t - 600. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {t: 3, e: 5, d: 2, v: 1, z: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(7\/6)\/(m**3\/m))\/((m*m**43)\/m**(1\/51)))**2 assuming m is positive.\nAnswer: m**(-4571\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -987 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007247599 rounded to five decimal places?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -5 (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + 2 = 0. Let j be 17 + p + 0\/3. Let l = j - -5. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n - 384. Let i(u) = 3*u + 206. Let h(v) = -6*b(v) - 11*i(v). Give h(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 + 33136?\nAnswer: 33064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -19*l - 37. Let b be y(-19). Suppose -4*j + 40 = b. Let i = 38 - j. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 45*c + 15. Let t be n(-2). Let z = 117 + t. Calculate the highest common factor of z and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5864*b - 5766.\nAnswer: 5864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Calculate the least common multiple of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(88) - sqrt(88)))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 16161649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54227.\nAnswer: 211, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen tenths of a millennium?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y + 21. Suppose -5*l = -3*l + x - 5, 0 = -l - 4*x + 20. Let a be b(l). Suppose 0 = w + 2*o - 8, a = 3*w + 3*o - 0*o. Solve -w*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d. Let z(i) be the second derivative of -i**3 - i + 39. What is z(m(w))?\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 7435 - 7480 + 0*j. Let h(f) = 3*f + 5 + 4 - 4*f. Let t(p) = 11*h(p) + 2*w(p). Determine t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:55 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321221300 (base 4) in base 14?\nAnswer: 620b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 + 327. Which is the second biggest value? (a) -4 (b) u (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - 1*(sqrt(6) - (sqrt(6) + (sqrt(24) - sqrt(6)))) - sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + (5 - -1) - (15 + -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -97 times -1.65\nAnswer: 160.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -8. Let y = 425881\/38280 + -2\/4785. Calculate the common denominator of y and 143\/n - (-4)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*(-24)\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15113, -11251, -7397, -3551, 287?\n\"Answer: -4*o**2 + 3874*o - 18983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3879.801*-29.\nAnswer: -112514.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 18*c + 18. Let u be k(-17). Let i be 132\/33 + u*-4. Determine g so that 0*g**4 - 2\/3*g**5 + i - 2\/3*g + 0*g**2 + 4\/3*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 9*r - 15. Let d be h(-6). Suppose 0*j - 103 = j + o, -d*o + 226 = -2*j. Let i = -745\/7 - j. What is the second biggest value in i, -14, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-35)*(-10)\/4*20\/(-50)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -6. Let d(w) = -w**3 + w**2 + 1 + 0*w**2 - 3. What is the tens digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 220*k + 1220 = 0. Solve 7*q - 5*o + k = 9*q, 5*q + 2*o = -19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*y + 15, -2*y + v = -5*y + 8. Sort -1, -1\/12, y, -3\/4 in ascending order.\nAnswer: -1, -3\/4, -1\/12, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 203 = 2*n. Suppose 0 = 3*u - 2*s - 21, -4*u + 3*s + 0*s + n = 0. Which is the closest to 2? (a) 4\/5 (b) u (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9*u - 4*u = -10, 3*y + 2*u + 4 = 0. Suppose y = 8*f - 10*f + 42. Let s = f - -88. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 102253440?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 9) to base 14\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2818 + 7123 + 1470 = -165*n for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m**2 + 134*m - 195*m + 564*m + 330*m + 29*m**2.\nAnswer: -6*m**2 + 833*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34268 + -34262. Let i = 0 - -2. Solve i*p - 4 = g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4*z - 79*j**3 - 22*j**2*z - 6*j**2 - 27*j*z - 900*j wrt j?\nAnswer: 12*j**2*z - 474*j - 44*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3412 + -3?\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1157 + -476. What is the remainder when b is divided by 66\/3*(-3 - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-15)*27485\/(-186898)?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 23*z**8\/20160 + z**5\/12 - 13*z**2. Let u(r) be the third derivative of o(r). Let x(q) = -2*q**2. Give u(x(f)).\nAnswer: 92*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-2) + 0\/1 + 2 is divided by (2\/(-5))\/((-1)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5\/6)\/((b**(-1\/2)*b)\/b))\/((b*(b\/((b*b\/b**(2\/5)*b)\/b*b))\/b)\/(b**(-3\/5)\/b)))**(1\/4))**(-7\/3) assuming b is positive.\nAnswer: b**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -5. Let v(z) = -3*z - 5. What is the units digit of v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 23*n + 108. Calculate o(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72938 is divided by 5902.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from uvugnvvuuuuuunnuuuuu.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + l = -16*o - 63, -l = -4*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032121110 (base 4) in base 11?\nAnswer: 36922a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 228, 2\/3, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*u - 27848 = -566*u - 1056*u + 17577 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 218*p + 14396. Give y(-66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/7 + 4\/7*l**5 - 24\/7*l**3 - 12\/7*l**4 + 12*l + 40\/7*l**2.\nAnswer: 4*(l - 3)**2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*z**3 - 185*z**2 + 400*z - 20 = 0. Calculate z.\nAnswer: -2, 2\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = q - 18, 1888*q - 1885*q - 2 = -l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -141, -243, -369, -519, -693?\n\"Answer: -12*p**2 - 42*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2596 + -15647\/6. Calculate the common denominator of d and -119\/710.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 34*l**2 - 33*l + 4. Let v = 48 - 33. What is the remainder when x(18) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 2*h + 5. Let k(p) = 12*p**2 - 8*p + 19. Determine -2*k(o) + 9*w(o).\nAnswer: 3*o**2 - 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + h - 3 = -i, 1 = 3*i - 2*h. What is the smallest common multiple of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1324, 2676, 4054, 5458, 6888, 8344?\n\"Answer: 13*j**2 + 1313*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:10 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*w**3 + 144405 - 144405.\nAnswer: 85*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2))\/((n*n**(-1\/4))\/n))**44*((n\/(n*(n\/(n**6\/n)*n)\/n))\/n*n*n**(2\/9))**(-20) assuming n is positive.\nAnswer: n**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 379227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n + 3. Let l = -33 - -48. Let y = l + -12. What is the units digit of v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.2 (b) 0.5 (c) 5 (d) 17\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 825199524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*j + i + 2, j = -4*i + 3. Suppose -v - 31 = -4*z + 38, -5*z + 65 = j*v. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 4*u - 4*u. Let a(l) = 2*l. Give a(i(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -276203400 divided by -8369800?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/19, -0.6, 190?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 14)*(4*v - 4*v - v**5 + 3*v**3) - 172*v**5 + 3713 - 3713.\nAnswer: -189*v**5 + 51*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 55*f - 20. Let p = -350 + 371. List the prime factors of l(p).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-6)*(75\/9)\/25)\/((-26)\/(-8))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.063 - 0.037. Let m = -51 + 62.5. Let j = q - m. What is j rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(18)\/sqrt(36))*1*-3 + -5 + 0 + sqrt(242) + 1)**2.\nAnswer: -76*sqrt(2) + 393\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 523366, 522424, 521482?\n\"Answer: -942*z + 524308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4675574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*n - 146 - 4. Suppose -12*u = -n*u - 102. Solve -7 + u = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*a + 130. Let c = -944\/7 + a. Calculate the common denominator of 87\/4 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 8*h - 1. Let a = 56 + -59. Let p be z(a). What is the tens digit of 4096\/36 - p\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*y - 14*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81378, -81387, -81402, -81423, -81450?\n\"Answer: -3*o**2 - 81375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v\/v**(-2))\/v)*v*v)**19*(v\/v**4)**20)**(-1\/9) assuming v is positive.\nAnswer: v**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 123*s + 1239. Is z(-132) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6422*b + 3 - 3664*b + 3 - 2762*b.\nAnswer: -4*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162055.\nAnswer: 5, 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 11111950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v - 18. Let a be w(-10). Let d = a - 13. Solve 5*c - d = -4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 + 18*v + 3. Calculate u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (0 + -3 - 1). Let o(n) = 60*n + 808. Let t be o(-12). What is the highest common divisor of t and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*f + 4092*f - 3945*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38132 - -2649. Let i = -35482.73971 - p. Let v = i - 0.26. Round v to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - -524322?\nAnswer: 524300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/426816 and 103\/25650.\nAnswer: 10670400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 + -598. Let k = -263 - j. What is the least common multiple of 44 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = 36. Suppose 0 = m - s - 9 - v, m + 5*s - 3 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -119, -153, -205, -281, -387?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*h - 12762 = -202 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2017815196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -29*s**5\/20 - s**4\/6 + 3895*s. Let x(c) = 115*c**3 + 9*c**2. Calculate 9*f(d) + 2*x(d).\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-6)*30\/(-25). Suppose 3 = -d*a + a. Suppose 0 = 3*c + 5*r + 35, 2*c + 24 = -2*c - r. Sort 0, c, a.\nAnswer: c, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/969835 or 0?\nAnswer: 6\/969835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3\/3 - 3*i**2\/2 - 4*i - 24. Determine m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 divided by 15?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128718259\/4492 + -28655. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246)\/(-42) + (-1)\/(-7). Solve 4*y - 5*l - 8 = 0, -j = y - 4*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 8 - 44. Let p(t) = -2*t**3 + 57*t**2 - 28*t + 34. Calculate the remainder when p(28) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2415*m**2 - 4266 with respect to m.\nAnswer: -4830*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -115 + (187 - 56)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 + 4*m**2 - 3*m**2 + (2*m + m - 2*m)*(2 - 2 - 2*m) + 0*m**2 + 0*m**2 - 2*m**2 in the form i*m**2 + a*m + d and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 965\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 - 39 = 8*n - d, 4*d + 12 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9428 = 2*s, 4*t + 11*s = 16*s + 9442. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-60))\/((-5)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644037 - 646.355?\nAnswer: -2644683.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 + (-255)\/80*-2 and 37\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 8*g + 6. Let a be m(-8). Let f(o) = -3*o + 1. Let i be f(-1). Find the third derivative of -a*k**i - 3*k**4 + k**4 + 2*k**4 - 2*k**2 wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-18)*1*3. Suppose 4*s - 9 - 3 = -n, -i*n - s + 18 = 0. Let r be 2\/n + (-88)\/(-16). Which is smaller: 7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:56 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20269, 20249, 20203, 20119, 19985, 19789, 19519?\n\"Answer: -2*p**3 - p**2 - 3*p + 20275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - g**2 + 12)*(-5 - 3 - 2).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57670 is divided by 28822.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1528 + -0.0967. Let w = 0.58 - 0.81. Let o = w - i. What is o rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = t + 3*a + 26, -6*t + 142 = 2*a + 150 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326057.\nAnswer: 326057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10*x + 229 = 177, 0*x = b - x - 16 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/1)\/(-1) + -10. Let f be (-1)\/2*2*g. Let j = 32 + -11. What is the greatest common factor of j and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 11. Let p be n(-9). Let j be (-2)\/3*p\/(-4). What is the third biggest value in 1\/2, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*u + 8*u, -2*u = 4*o - 72. Solve w + 4*g - o = 0, -2*w = -g + 5*g - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112540 = 192*a - 415708. List the prime factors of a.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862856271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.28 from -147.\nAnswer: -146.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-126) + (-92)\/(-322))*(-134 - -2)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5522 - 27617\/5. Suppose 0 = p - 2*m - 8, -5*p + 2*m + 15 = -3*m. Is n at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134928 != -134929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.8 - -11.5. Let n = -11.6 - v. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 155. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 9. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*x - 6185 = 3646 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50519 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:44 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-4 + 133 - 4)*(2 - 2 + 2*y**3)*(y**2 + 1 - 1) + (0*y**4 - 2*y**4 + 0*y**4)*(3*y - 6*y + 7*y).\nAnswer: 242*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -24, 303 in ascending order.\nAnswer: -24, -2, 2, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 6*u + 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/80*24)\/(22*(-48)\/(-8800))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 17*h + 8. Let i be n(-5). Let d = 367 + i. List the prime factors of d.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40020342 (base 7) to base 10\nAnswer: -3299151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-1 + (-1 - 249\/3)). Suppose 4*f = h + 198, -4*f - 3*h + b = -105. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 12*n**2 + 10. Let m be u(-5). Let s = m + -1663\/9. Which is the second smallest value? (a) s (b) -0.06 (c) -2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 4389.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 + -213. Suppose 7*b + x*b = 50. Solve 6 = b*j, 3*z + 2 = 5*j - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**3 - 322*t**2 + 50*t - 143. Determine s(-27).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q - 5*u - 28, 2*q + 2*u = 0. Suppose 0 = -q*a - o - 7, -1 = -3*a + 2*o - 4*o. Let n be 4*(1 - -1)\/2. Sort n, 5, a in decreasing order.\nAnswer: 5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let i be 14*2 + (-12)\/28*-7. Suppose i = l - f. Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -12. Let w be (t\/14)\/(4\/(-14)). Determine j so that 9*j + 3*j + j**w + 2*j**2 + 9 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37\/3 (b) 0.04 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88\/5 of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/9 + 28*l**3 - 82*l**2\/3 - 500*l\/9 = 0. Calculate l.\nAnswer: -1, 0, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5037 is divided by 315.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -195*o - 120*o - 1590. Which is the fourth smallest value? (a) o (b) 1\/4 (c) 17\/10 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = 3*n, -4*d + n + 9 = -0*n. Suppose d*j + 0*j = 80. Calculate the remainder when 77 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97.71 + -32.7372. Let c = f - 65. Round c to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 31. Calculate l(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 + 7*u - 5. Let t be d(-4). Let k(r) = -480*r**3 - 2*r**2 + r + 2. Is k(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274539994?\nAnswer: 2, 421, 326057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 50.528583 minutes?\nAnswer: 0.03508929375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48406, 96825, 145246, 193669, 242094, 290521?\n\"Answer: o**2 + 48416*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113111330 + 20?\nAnswer: 2113112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 + -152. What is the second biggest value in -1\/3, -61\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -25705*c + 25712*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 <= -4.39377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.4913 centuries in millennia?\nAnswer: 59.14913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s + 35 = -2*v, 0 = s + 5*v + 7. Let r(a) = a + 2. Calculate r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-27)\/(-15))\/((-52)\/260).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/(-2)*3. Let l be 0\/o + 2 + 2. Let v = l - 1. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 4 - (1 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = -1. Solve -3*s - b*s = v - 15, -2*v + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4946?\nAnswer: 1\/4946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 143*g - 180085. What is y(-270)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 3)*2\/(-9)*-3. Let t be -2 - (q - (-1 + 0)). Let s(l) = 9*l**2 - 5*l - 6 + t - 8*l**2. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3379 + -898815\/266. Let g = v + 549\/4522. What is the smallest value in g, -2\/55, 4\/7?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158 + -203 + 151 + 35 + -5.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/7)*c**(4\/9)*((c*c**(-5)*c*c)\/c)\/c**2)**(-1\/28) assuming c is positive.\nAnswer: c**(103\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + 62. Suppose 3*b = -r + y, 4*b - 2*r - 201 = -31. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346488835*g**4 + 325526764*g.\nAnswer: 4157866020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h. Let l(y) = 13*y**2 - 6*y. Let j(v) = 105*v**2 - 49*v. Let q(s) = 6*j(s) - 49*l(s). Give x(q(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)\/s**19 assuming s is positive.\nAnswer: s**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225 + 12*n**2 + 113 + 107 to o + u*n**2 + i*n and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 - 1654c7?\nAnswer: -165548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6146, 0, 0.09, -1, 3 in descending order.\nAnswer: 6146, 3, 2, 0.09, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/6468 and 97\/27885?\nAnswer: 5465460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:32 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 11*t - 12. What is s(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 3, c: 1, l: 5, m: 1, r: 1}. Give prob of sequence rc.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 597 and 8259.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -2025?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let m = -857.1 - -900. Let l = 43 - m. Which is bigger: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*h + (h - h - 3*h)*(-4 + 7 - 2) - 389 + 42*h + 390 + 21*h.\nAnswer: 62*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 192, 195?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(76\/(-699816)) + 50\/(-475) a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 65*r**2 + 4*r + 5. Let h(v) = -152*v + 303. Let j be h(2). Determine c(j).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*n - 17 + 39, 0 = -4*n + 5*g + 37 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -108. Suppose 3*w + k*j - 52 = 3, -4*w = j - 96. Suppose -a + w = -2*s + 113, 5*s - 226 = a. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2720 and 17068?\nAnswer: 682720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -813 - 2*b**3 + 11561*b + b**2 + 113 - 5781*b - 5780*b to the form m*b**3 + j + h*b + o*b**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1 + sqrt(3) + -4 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/3477 - -170357\/55632. Let f be (47 + -3)*(-4 - -3). Find the common denominator of j and 15\/5 - 46\/f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552166211 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 - 6 = 4*b, -2*a = b + 7. What is the remainder when -2 - (-1 + -18 - 1) is divided by (a\/6)\/((-1)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 115 - 0. Factor 0*l + 0 - 2\/5*l**b + 0*l**4 + 0*l**2 + 2\/5*l**3.\nAnswer: -2*l**3*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591382, -2365636, -5322726, -9462652?\nAnswer: -14785414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860042381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4)\/9 + -29*(-64)\/288 and 795?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1696, 3, 0, 5, -5, -15 in decreasing order.\nAnswer: 5, 3, 0, -5, -15, -1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 < -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**3\/6 - b**2. Let r(z) = -z - 7. Let t(o) = 6*g(o) - r(o). What is the units digit of t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 - 5*c + 4. Let t be n(3). Suppose -t*v + 0*v + 49 = 0. Factor -77*m**2 - 16 - 8*m**3 + 28*m**4 + 55*m - 11*m + 36*m - v*m**2.\nAnswer: 4*(m - 1)**2*(m + 2)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 270168.3 years?\nAnswer: 27016.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 87*p + 6 = 85*p, q - 15 = 5*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 12. Let d be g(-11). Let q = d + 4. Suppose -7*m + 8*m = -2. Put m, 0, q in descending order.\nAnswer: q, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 933 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-3*sqrt(588)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 214696753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/((-15)\/(-57)))\/1. Let t = v + 23. Factor -10*d + 11*d + 17*d + 8*d**2 + t.\nAnswer: 2*(d + 2)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11485 - -11474. What is the third smallest value in x, 1, 7, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 12*i**2 + 3*i + 17. Let l be b(-12). Let v = -2210 - -2210. What is the closest to -0.1 in v, -5, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) -0.5 (d) 1 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -27, -32, -39, -48?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 10:23 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2597.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 2)*(0 + 3 - 4 + w)*(-822 + 1102 - 725) in the form i + t*w and give i.\nAnswer: -1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11102132210101 - 0?\nAnswer: -11102132210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14*s - 7. List the prime factors of h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9)**(-2\/9)*f**(7\/2)*f**(11\/3) assuming f is positive.\nAnswer: f**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-300)\/21)\/5)\/((14110\/(-476))\/83).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-44))\/(6\/10*35\/21).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15284128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 897*o + 185113. Calculate s(-173).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 16, -650, 0, 1 in descending order.\nAnswer: 16, 1, 0, -1, -2, -650","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 192*l**2 - 382*l + 1. Let b be c(2). Solve -t = -2*v + b, -5*v + 66 = 5*t + 46 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52*(-347)\/(-347)*2\/4)\/(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, -7.02, 2, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Are 8\/9 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 52 = 3*c, 3*c - c = 3*s + 36. Let r = c - 14. List the prime factors of (-1)\/r + (-99)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let p be (f\/(-1))\/(3\/6). Solve 2*c + p*z - 2 = 12, -5*c + z + 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33381630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4\/8 + 39*d**3\/4 + 591*d**2\/8 + 381*d\/2 + 315\/2 = 0 for d.\nAnswer: -15, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**4)**1 assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 - 6*u + 7*u**3 + u**2 - 9*u**2 + 8. Let s be c(10). Suppose -k - s = -5*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 279, 595, 931, 1299, 1711, 2179, 2715?\n\"Answer: 2*p**3 - 2*p**2 + 308*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-13 + -5 + 0 + 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361120785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 22851 = -5*n + 23793, 2*n + j = 18651. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0150815498 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*u - 20*u + 125*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 810374*l*q*s + 245*l*s + 149*q*s - q - 904435*s wrt l.\nAnswer: 810374*q*s + 245*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -555965 (base 10) in base 7?\nAnswer: -4503614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 283178 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6332919 to the nearest integer?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 70. Let w(s) = s**2. Determine w(t(v)).\nAnswer: v**2 + 140*v + 4900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17.5 and -1.909.\nAnswer: -19.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39.74 * 1.69\nAnswer: 67.1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-6)**2 + (0 + sqrt(13) + 5)**2 + -5.\nAnswer: 10*sqrt(13) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.5, 1.13, -1\/6, 0, -11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6055 = 6055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 2220*p**2 + 4456*p.\nAnswer: -4*p*(p - 557)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301)\/693 - (-24)\/(-216)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 - 3*j**3 - 9*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1084845107\/2340 + -463609. Calculate the common denominator of a and -79\/234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27166 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 26 = -j + 2*j, -4*j - 60 = 2*k. Is k less than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u - 31. Suppose -4*z = -4*w - 5*z + 92, z = w - 18. Does 11 divide s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (1 - (12 - 19)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1360, -10753, -36204, -85741, -167392, -289185, -459148?\nAnswer: -685309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(126\/(-35))*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:21 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15922147.\nAnswer: 241, 66067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21496028 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 567 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(91)*-1*6 - 6*(sqrt(91) - (sqrt(91)*-2 + sqrt(91)))*-1)\/(-6*(-6*(-1*sqrt(567) + sqrt(567)) - sqrt(567))*6).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*q + 4810. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b - 343. Give z(-28).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-596)\/(-16))\/(-2*3\/(-120)). Let z = -414 + y. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51868\/5 + 3941573\/380. Calculate the common denominator of n and -33\/932.\nAnswer: 17708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*u + 9, -5*l = -3*u - 6 + 17. Is (-20)\/(-5) + (-17287)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)\/v*v*v**(3\/4)\/v)**(-19) assuming v is positive.\nAnswer: v**(399\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27930 - 27916. Let i(g) = g + 4. Let u be i(-4). Suppose u = d + d. Solve d = -3*l - 12, -2*l - a = -5*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(20)\/sqrt(5)*-3 + sqrt(4)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1529 or 0.0245?\nAnswer: 0.0245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1131973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -20252 >= -20244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s = 278 + 242 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 85*m + 88*m - 8 = 0, -7*m = 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5\/9 + 116*m**4\/9 - 104*m**3 + 2512*m**2\/9 - 2848*m\/9 + 128 = 0. What is m?\nAnswer: -36, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 24 = -4*x, -3*x + 20 - 1 = 4*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121, -68, 81, 374, 859, 1584, 2597, 3946?\n\"Answer: 8*s**3 - 3*s - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 10 = -5*y, 4*y - 14 = 5*n - 7*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-4))\/(0 + -2). Let z = 9 - i. Let v = 335\/1938 + -2\/323. Which is the closest to 1\/3? (a) 3\/4 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3940, -3853, -3770, -3691?\n\"Answer: -2*n**2 + 93*n - 4031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*b - 16, 3*d + b + 4*b = 17. Let k(o) = -o**2 + 4*o + 5. Let l be k(4). Sort d, -3, l.\nAnswer: -3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*l - 7*l. Calculate the highest common divisor of 68 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 4582?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467.1317ml to litres.\nAnswer: 0.4671317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*a = -77, 19 = -4*x - 2*a + 89. Calculate the greatest common factor of 171 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkgbmmb. What is prob of sequence kbm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*f**5 - 4000*f**4 + 82660*f**3 - 550620*f**2 - 291060*f - 37044.\nAnswer: 4*(f - 21)**3*(4*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2764 (base 8) to base 2.\nAnswer: 10111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101462651 divided by 6619\nAnswer: -15329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)*u*(u*u**(3\/14)\/u)\/u assuming u is positive.\nAnswer: u**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71.57 + 72. Let l = i - 0.43108. What is l rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25661)\/(-3830))\/((-9)\/(-90))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y + 2*k, -2*y + 4*y - 23 = 5*k. Solve -y + 7 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15735890663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6896 + 7087. Let u(h) = -12*h + 6. Let f be u(6). Let g = z + f. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155753, 311501, 467249, 622997, 778745?\nAnswer: 934493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*u - 691*u - 744*u + 83*u + 202*u to the form h + m*u and give m.\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:23 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 296967?\nAnswer: 5\/296967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 2. Let t be n(6). Suppose i = 8 - t. Factor -521 - 2*x**i + 521 + 2*x**5.\nAnswer: 2*x**4*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/12 + 2065*p**4\/72 - 685*p**3\/9 - 2*p**2 + 101. Let j(f) = 0. What is f?\nAnswer: 2\/3, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/6806 and -1\/2542?\nAnswer: 210986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -77. Let f be 2 + -2 + (-5)\/13. Let d = f + 2\/39. What is the nearest to -0.1 in w, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 + 9*z + 9. Let p(w) = w**2 - 2*w - 2. Let k(v) = 9*p(v) + 2*t(v). Let r(a) be the second derivative of -7*a**3\/6 - 42*a. Determine k(r(c)).\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -26, 4, 2 in descending order.\nAnswer: 4, 2, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115639915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998271 = 37*s - 10*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 35*b**2 - 21*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 4*s - 3. Calculate u(10).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = -8. Suppose 9*r - b = 4*r + 117, -w*r + 40 = 3*b. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*r + 14*r - 4*r + (-6 - 7 - 1)*(r + r - r + (r - 4*r + r)*(0 + 3 - 2)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = 2. Let c be u - (2 + 0 + -8). Suppose -c = -2*x + 10. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 divided by -267\nAnswer: 227\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011010111000000 + 11001011?\nAnswer: -10000011010011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20 and 0.2492.\nAnswer: 20.2492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -393)\/((-1)\/(-2)*-2). Let y = s + -121. List the prime factors of y.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 339126040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -954 - -974. What is the smallest common multiple of 10 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4\/5, 25.7 in ascending order.\nAnswer: -4\/5, 14, 25.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + l + 3)*(-1 + 1 - 4)*(32 + 40 - 66)*(1 - 1 - 2*l**2) in the form s + i*l**2 + p*l**3 + a*l and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 655365 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 2*h + 14 - 15 - h**3. Let j(t) = -2*t**3 + 7*t**2 - 3. Let v = -8 - -5. Let o(s) = v*p(s) + j(s). What is the third derivative of o(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/2 + 1750815*p\/2 + 3501670.\nAnswer: -5*(p - 350167)*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*v + 17 = 0, -8 = -3*v + v. Let y be (2\/p)\/((-2)\/3). Let b(i) = 11*i + 1 - 11*i + 16*i. Give b(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220010012 - -2001?\nAnswer: -10220001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 6*m - 42)*(-1 - m + 1 + (1 + 0 + 0)*(-6*m + 16*m + 17*m)).\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) + (sqrt(152) + 1*sqrt(152) - sqrt(152))))\/sqrt(8) + (-3*(sqrt(684) + (1 + sqrt(684) - sqrt(684))))**2.\nAnswer: 98*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6 + 3)*(1 - 1 + 2*y**2)*(-2*y + 2*y + y) to the form w*y**2 + i*y**3 + s + a*y and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 800*l - 805*l - 2*i + 11 + 21, 5*l - 25 = 3*i + 27 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + 146 - (-1 - -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**3 - 16*j**3 + 27*j**3 + 1 + 6*j**2 to the form a*j**2 + z + o*j**3 + w*j and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 132954 = 4*z + n, 5*z + 2*n + 166194 = 0. Let i = z + 58238. What is i rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 5*o)*(1 - 1 - 355*o).\nAnswer: -710*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**6\/40 + l**3 - 9*l**2\/2 - 9*l. Let q(r) be the first derivative of i(r). Differentiate q(a) with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let f(n) = -n + 3. Let j(r) = -2*a(r) + f(r). Let t = -2677 + 2709. Calculate the remainder when t is divided by j(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126*4\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336339 is divided by 111836.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 26*g**2 + 26*g + 26. Let k be z(-25). Solve -y - k = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 11 = -3*q. Let h = q + 8. Let d = -25 + 28. Which is the second biggest value? (a) 0 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-14)*-4)\/(156\/(-285558)) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141763828 divided by -4?\nAnswer: 35440957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from uqiukddddkkb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose -7 = -2*r - 3*j + 32, j - 52 = -5*r. Put v, r, 1 in decreasing order.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15401412 or -15401411?\nAnswer: -15401411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2 - 9*f - 10. Let x(m) = 19*m**2 - 17*m - 19. Determine -11*o(g) + 6*x(g).\nAnswer: 15*g**2 - 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**3 + 4*a**2 - 17*a + 14. Let v be r(1). Solve 591*n - 590*n = -v for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42952099 - 9926187. Let p = 3725912 - a. Round p to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 0, -3, 2\/131 in ascending order.\nAnswer: -3, 0, 2\/131, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 106, 111, 118, 127, 138, 151, 166?\n\"Answer: q**2 + 2*q + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 x when four letters picked without replacement from xxjjjxjjxjjjxjjjxjj.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2054 and 198684763?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345 + 360. What is the greatest common factor of l and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 311727.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8377664 = -5*q, -146*q = -148*q + 14. Is d 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 91512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 6*(3*(4 + 6*(sqrt(75) - 3*sqrt(75)))*-6)**2).\nAnswer: -5598720*sqrt(3) + 126157848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29430 by -5.\nAnswer: -5886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(0 + 3 + 0)*(-u + 2*u - 2*u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243 is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*o = 19, -5*c + 170 - 378 = -3*o - 163 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -902538095 take away 0.471508?\nAnswer: -902538095.471508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**5 + 4280*g**4 + 872105*g**3 + 52789530*g**2 + 102124800*g = 0.\nAnswer: -591, -135, -128, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4702664.\nAnswer: 2, 587833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.61, -0.5, 3 in descending order.\nAnswer: 3, -2\/7, -0.5, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {u: 1, q: 2, j: 2, d: 1, c: 1, z: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**5 - 5*v**4 + 8*v**3 - 11*v**2 - 32*v + 11. Let z(c) = c**5 + c**4 + c**3 - c**2 + 4*c + 1. Let w(x) = n(x) + 5*z(x). Solve w(r) = 0 for r.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -1506, -2528, -3776, -5256, -6974, -8936?\nAnswer: -11148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10778950239 rounded to 3 decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6599 + -6629 + 0 + -1 + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.3. Suppose k - 25 = 6*k - 5*w, 37 = -5*k + 2*w. Let n = k - -8. Which is the closest to n? (a) 0.3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 894 - 294. Suppose 3*h + l = 2*l + 359, -5*h + 2*l + o = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.347672 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 + -0.14. Sort h, -2\/9, -0.3 in ascending order.\nAnswer: -0.3, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -26*r**3 - 8*r + 8. Let d(i) = 17*i**3 + 5*i - 5. Determine -8*d(u) - 5*g(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 132*n + 130*n + 29 = 0, -m = 10*n - 47 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**3 + 11*x**3 + 65*x**3 + 8*x**2 - 9*x**3 + 11*x**3.\nAnswer: 55*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42274, 42288, 42320, 42376, 42462?\nAnswer: 42584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 11. Suppose -63*k + 62*k + 27 = -4*g, -3*g - 28 = -k. Suppose -5*t + k - x = 0. Solve -3*z - t*c = -0*z + 18, z - 2 = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0 - 5\/2*o**2 - 1\/3*o**3 - 2*o. Calculate l(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(240\/4))\/((-3)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03766231 rounded to 4 decimal places?\nAnswer: 0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/24 - 2*v**3\/3 + 32*v**2. Determine z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + j = 4 - 47, -2*s + 69 = 9*j for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/3 + (-38)\/(-57). Suppose -42 = -c*n + 28. Calculate the greatest common factor of n and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 24702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76656?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + r - 10, -2*r = -0*r - 8. Let a = x + 9. Let z = -1 + a. Solve 0 = -4*y + 2*n - z, -5*y + 3*n + 2*n = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25724915 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 240.9 * 494\nAnswer: 119004.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-5)\/17) + (-28)\/70. Suppose 4*h + 0*q - 519 = 3*q, -g = 3*q. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1998913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*c - 3*f, 6*c - 5*c - 25 = -5*f. Suppose -4*t + 12699 = -5*p, -14761 = -c*t - p + 1149. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**4\/24 - 5*h**3\/6 + 2*h**2. Suppose 4 = -0*a + 2*a, -2*a + 134 = 5*n. Let g = n - 33. Calculate s(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5 = f + g, 0 = -5*f + g - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 26 = -8*v + 5*h, -5*v - h = 6. Let a(c) = -c + 23. Let x be a(23). Put v, -3, 3, x in decreasing order.\nAnswer: 3, x, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4969 + -2635. Let k = -1464 + n. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 34442716 = 2*b + 5548746, 0 = 2*t + 12. What is b rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -470450*g**2 + 9235855*g - 362635849\/8 = 0?\nAnswer: 19043\/1940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**3*y + 231179*k**3 + 2*k**2*y + k**2 - 37*y - 1 wrt k.\nAnswer: -18*y + 1387074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-60)*(-13)\/((-624)\/(-216))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137402927 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 14. Let i(u) = -2*u**2 - 10*u + 4. Let z be i(-6). Let m be h(z). Suppose -2 = -l - 5. Put 3, m, l in decreasing order.\nAnswer: 3, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2723*b - 15. Let n be l(5). Suppose -18099 = -c - 7429. Let u = c - n. Round u to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Suppose 2*x = 4 + f. Let c(m) = -m + 8. Let o be c(x). Let g(q) = -q**3 - 4*q**2 - 4. Let j(k) = k**2 + 1. Give o*j(t) + g(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 - 21 = 0. Let b = -1266 + 1266. Suppose b = -19*u + g*u + 54. Calculate the remainder when 105 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2008237 - -1108237. Round p to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182907122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n. Let j(h) = -h**2 + 6*h + 1. Let k be j(5). Let w(z) = -z**2 + 6. Let a(d) = d**2 - 5. Let y(f) = k*a(f) + 5*w(f). Give y(t(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)**(-19))**(7\/9)*(c**(-5)\/c**(4\/7))\/(c**(1\/4))**(2\/43) assuming c is positive.\nAnswer: c**(-110315\/5418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0)**2*-2 - (sqrt(48) + -1 + sqrt(48))**2.\nAnswer: -199 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-424)\/(-16)*((-3 - -1) + -2). Let x = i - -153. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b**(-11\/4)\/b)\/b)\/b))**(8\/9)*(b**33)**(31\/2) assuming b is positive.\nAnswer: b**(1035\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3, -1, 167, 32 in ascending order.\nAnswer: -3, -1, 4, 5, 32, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 25*l + 20 = 0. Solve l*m = 2*f - 4*f - 2, 3*f - 7 = -m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - ((-4)\/(-1) - 7). Suppose -t = 3*r - 65, -q*r + 90 = -2*r - 2*t. Calculate the lowest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6398 = 4*c + 862. What are the prime factors of 2\/(-9) + c\/72?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(4 + 2*t - 4) + 4*t + 1 - 1.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -63 - (-8 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154870 * -2.\nAnswer: -309740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 * -155.5.\nAnswer: -606.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -601 != -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koby when four letters picked without replacement from koybo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose -2*y - b = -155, r*y - 246 = b + 2*b. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20, c - 1523 - 1139 = -h. Calculate the remainder when h is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98.188 - -0.188. Let y = 101.84 + g. Let j = 0.16 + y. Which is bigger: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54704?\nAnswer: 2, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 72 - 82 - ((-66 - -16) + (-3 - -1))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -70. Suppose -16 = -2*r - 2*t, 3*r = 6*t - 3*t + 30. Which is the biggest value? (a) q (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05451 + 0.04549. What is the closest to 0.1 in s, -2, 83, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-4)*2*-1. Let b(l) = l**2 - 5*l + 1. Let w be b(v). Let m = w + 7. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4350438 divided by 6\nAnswer: 725073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 48*o**2 + 62*o - 5. Let d(t) = -2*t**3 + 99*t**2 - 122*t + 11. Let v(y) = -6*d(y) - 13*g(y). List the prime factors of v(8).\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/82, 2.29, -4 in ascending order.\nAnswer: -4, -1\/2, 1\/82, 2.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -271.59, 1?\nAnswer: -271.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206325*g**3*h*v**2 - 8*g**3*v + 477*g**2*v - 2*h*v**2 - 9*v**2 wrt h.\nAnswer: 206325*g**3*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 3*m**2 + 3*m + 3. Let r be i(4). Let b be 4\/12 - r\/(-3). Is 40 a factor of (3 - 8) + 6 - (-187 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 17*f**2 - 2*f - 31. Let w be (-721)\/42 + (-1)\/(-6). Let n be q(w). Suppose 3*o - 419 = -5*t, n = -o + 1. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40233004 - -1253?\nAnswer: -40231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 460253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-2)\/(-392)*2). Let k = 82 - u. Suppose d = 2*a + k, 2*d - 77 = 3*a - 6. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2025, 2017, 2003, 1983, 1957, 1925?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 33044.\nAnswer: -33006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let o = -0.046 + -0.954. Let u be 0 + 6 - 2\/2. What is the closest to o in 0.3, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-12))\/((-73)\/146)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-2)\/2*5. Let g be ((-134)\/(-12))\/(6\/b). Let s = g + 56. What is the third biggest value in s, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -283?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 8*u - 5. Let l be m(-5). Suppose -l = -5*t, 3*y - 52 = t - 0*t. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -80*w + 5. Let j(k) = 27*k - 2. What is 11*j(t) + 4*r(t)?\nAnswer: -23*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 4*u + 3*u - 5*u - 134.\nAnswer: -2*u - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and -4756 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 16*a**3 + 19*a**2 - a - 21. Let b(q) = -3*q**3 - 4*q**2 + 4. Let o(d) = 11*b(d) + 2*t(d). Let k be o(-6). Let x = -9 + k. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*k - 8*d + 68, -k + 3*d = -5. Suppose 3*n - 16*n = -26. Let q(g) = -k*g - 1 + n + 10*g. What is q(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v**2 - 628294*v + 81951 = 0. What is v?\nAnswer: 3\/23, 27317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11482 - 11480. Let s = 10 - 10.4. Which is the nearest to -6? (a) -4\/7 (b) v (c) s (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1706102.73 to the nearest one hundred.\nAnswer: 1706100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 2*m**2 - 2*m - 3. Let d(k) = 4*k**3 - 5*k**2 + 4*k + 6. What is -2*d(y) - 5*x(y)?\nAnswer: 2*y**3 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 24*j**2 - j - 2. Let c be k(-1). Let t(a) = 8*a - a - c*a - 8*a. Let n(h) be the first derivative of 2*h**3\/3 + 3. Calculate t(n(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5497607356 + 0.519.\nAnswer: -5497607355.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 15) to base 16\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 154, -5, 0, -3 in decreasing order.\nAnswer: 154, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Suppose -w + 6 = -p*c, c + 9 = 4*w - 0*c. Calculate the greatest common factor of w and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -128.5.\nAnswer: -128.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by 235896.\nAnswer: 71\/78632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/(-4))\/(4\/8). Let m = -3 + v. What is the lowest common multiple of 22 and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04134 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) 1\/2 (c) 0.181 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 120309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l - 4. Let t(y) = -7*y - 2. Let c(f) = f + 1. Give l*t(v) + 5*c(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-5) + (-20)\/50. Suppose 0 = -3*f - 5*n - 2, 0 = 5*f - 5*n + 3*n + 24. List the prime factors of 278\/f*h\/(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/(l*l**6))\/(((l\/(l*l*l**0)*l)\/l)\/(((l\/l**3)\/l)\/l)) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 34. Which is smaller: o or 2\/51?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09861, -1\/25, 2\/5, 1?\nAnswer: 0.09861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*y + 7 = 0, 24759923*y + 23 = -5*g + 24759920*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 695759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 0.06. Let x = 0.1 - 0.1. Let w = 8 - 7.8. Sort x, r, w in ascending order.\nAnswer: r, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 132941160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h**2\/2 - 65877*h\/2 - 41454 = 0 for h.\nAnswer: -84\/67, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.71 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000046374 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-7\/2)*h))\/(h*(((h\/h**43)\/h)\/h)\/h*h)*(h*h**(9\/5))\/h**27 assuming h is positive.\nAnswer: h**(213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a27 (base 12) to base 3.\nAnswer: -11101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*b + m - 2, 3*b = -m + 8. Let p = -45 + 44. What is the hundreds digit of 96\/(7\/2 - (b - p))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1 - 5*l)*(0*l - 5*l + 3*l + 1).\nAnswer: 10*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z + 23. Find the second derivative of 0*o - 16*o**2 + 9*o**z + 16*o**2 + 6*o wrt o.\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553334996 to the nearest integer?\nAnswer: 23523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose -4*d + 15 = -l, 3 - 14 = -2*d - n*l. Differentiate 0*q - 6 - q - d*q wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 928 and 159024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*122\/(-214) + (-81 - ((-451)\/11 + -44)).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -14*z - 10. What is the smallest value in z, 1\/22, -1\/2, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -17611\/124?\nAnswer: -17611\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -57. Let n(t) = -t**2 + 8*t + 141. Let m be n(18). Let x = m + p. Solve 0 = 4*j - x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - -22. Let i = -57 + g. Suppose -i*o - 196 = -d + 242, o = -4*d + 1773. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*f = -108*f + 82 + 58 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235530)\/(-18319)*7\/(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqvv when four letters picked without replacement from {v: 17, q: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8)*30)\/((-55)\/(-220))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3794, -3900, -4050, -4250, -4506, -4824?\n\"Answer: -v**3 - 16*v**2 - 51*v - 3726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6193 + 6348 = 5907*t - 2030*t - 15353. Factor 0 - 13\/4*m**3 - m + t*m**2 + 3\/4*m**4.\nAnswer: m*(m - 2)**2*(3*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**3 + 2*g**2 + 4*g - 5. Calculate c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -35*s - 2. Let u be y(-1). Let j be 2\/11 - 798\/u. Let r = -5 - j. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126526606 (base 7) to base 12\nAnswer: -28ba694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1360 by -6.\nAnswer: -680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m**3 - 581*m**2 + 187*m + 90. Calculate u(-45).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -5. Let b(q) be the first derivative of -q**2 - 5*q - 2. Let c be b(v). Solve -5*o + 0 = -a - 3, 3*o = -c*a + 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -67?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 25440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/64)\/(18\/(-24))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100001111 + 101?\nAnswer: -1000100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 69*i + 118. Let m(c) = 18*c**2. Give m(v(h)).\nAnswer: 85698*h**2 + 293112*h + 250632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 314 + -311. Solve 4 + 8 = -r*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1\/(-1) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*o - 352 = 3626, o = -i + 1984. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/7, 0.32, 3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16\/5, -1\/4, 1 in increasing order.\nAnswer: -1\/4, 1, 16\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101.902 - 0.222. Let a = f + -102. What is the smallest value in -2\/13, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-17))\/(p\/p**21*p))\/(p**13*p*p\/(((p**(-7\/2)\/p)\/p)\/p)*p*p*p) assuming p is positive.\nAnswer: p**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/36 + 2 + (-5)\/4. Let q(v) = 2*v**3 - 68*v**2 - 1. Let i be q(34). What is the second smallest value in -0.4, i, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -41, -47, -53?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040187755 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 11*t + 5. What is n(-6)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 + -236. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1386 (b) 91 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*x - 4 + 14, -3*x = -6. Which is the closest to l? (a) 2\/3 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158793289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17177.42137 rounded to the nearest 10?\nAnswer: 17180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 21*v**4 + 13*v**4 - 17 - 51*v**4 + 2*v**3 - 5*v**2 + 11*v**4 + 5*v**4 to the form g*v**4 + s + b*v + n*v**2 + t*v**3 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/5*z - 8\/5*z**2 + 196\/15 + 2\/15*z**3.\nAnswer: 2*(z - 7)**2*(z + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j + 97*j + 60*j)*(-5 + 6 - 3)*(0 + 4 - 5).\nAnswer: 278*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**5\/4 - 87379*b**4\/8 + 424118233*b**3\/8 - 685846085295*b**2\/8 - 1258952016275*b\/8 + 114437326375\/4 = 0.\nAnswer: -2, 1\/6, 4855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 100\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhuuuh. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w - 123. Let o(u) = 9*u - 62. Let i(p) = -6*k(p) + 11*o(p). Let l be (-20)\/(-50) - 8\/20. What are the prime factors of i(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 - 98*s + 40. Let t be h(-20). Solve -3*z - 2*m = -t*z + 25, z - m = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -2*s, -2*s = -0*s + b - 3. Let m = 5 + -3. Suppose 2*c - m + 6 = 0. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05518226075 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -765, -1527, -2287, -3045, -3801?\n\"Answer: t**2 - 765*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*((4 + r - 4)*(0 + 3 + 0) + 2*r - 4*r + 0*r)*(3*r + 4 - 4).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8298*j = 8345*j + 282 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210822 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o + h - 2, 115 - 131 = 4*o + 5*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 40745*w**3 - 150*w**2 + 10*w. Let k(v) = -67908*v**3 + 255*v**2 - 17*v. Calculate -17*d(r) - 10*k(r).\nAnswer: -13585*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -5. Let h(j) = 11*j + 3*j**2 + 11*j - b*j. Let c(i) = i. What is c(h(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/42 and 4\/273.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*25\/(-90)*-18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 25*v**2 - 13*v + 1. Let g be f(-25). Suppose 4*s - 260 = -2*w, g = 3*w + 2*s - 64. Calculate the highest common divisor of w and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*v**4 + 4*v**3 - 18*v**3 - 33*v**2 - 96*v**4 wrt v.\nAnswer: 24*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13102, 26194, 39284, 52372, 65458?\n\"Answer: -x**2 + 13095*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5002 and 6283.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -382.39064 times 0.4?\nAnswer: -152.956256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812\/5 + 2\/5*q**2 + 82*q = 0.\nAnswer: -203, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11753912 and 104?\nAnswer: 152800856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 99*o + 10 + 9 - 2*o**2 - 99*o. Let p(v) = -61*v**2 - 6*v + 6. Let l(j) = 172*j**2 + 17*j - 17. Let s(c) = 6*l(c) + 17*p(c). What is f(s(m))?\nAnswer: -50*m**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2510)\/(-36395) + (-286)\/(-58) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -10. Let p = j - -9. Let s = 0 + 1. Sort s, 5, p.\nAnswer: s, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o + 15*o - 91*o**3 + 2*o**2 + 2 - 4 + 63*o**3 - 8*o to the form n + g*o**2 + f*o**3 + b*o and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 7. What is j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 23*y**2 - 17*y + 9. Let k(w) = -w**3 - 11*w**2 - 8*w + 4. Let x(t) = 13*k(t) - 6*n(t). Let d be x(-5). Let g = 6 - 6. Is d less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 + 0*c**3 + 3*c**3 + (-3*c**2 - c**2 + c**2)*(4*c + 3*c - 5*c))*(25 - 9 - 3) in the form t + w*c + z*c**3 + p*c**2 and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25670, 51721, 77774, 103829, 129886, 155945?\nAnswer: 182006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26130 is divided by 126.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, e: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56861518 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/34 + 3\/17. Factor o*j**4 - j**3 - 1\/2 + 0*j**2 + j.\nAnswer: (j - 1)**3*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*u**2 + 611*u**2 - 40*u**2 - 2*u**2 + u**2 - 2*u**2 + (-1 + 1 - u)*(-2*u - 2 + 2) + (1 - 2*u - 1)*(0*u + 0*u - 2*u).\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:27 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-10)*-8 - -17. Suppose -16*s + d*s = 10. Solve o - 2*o - 4*c + 19 = 0, s*o + c = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4252.173 millennia?\nAnswer: 42521.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177.9 * 2.\nAnswer: -355.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2315 - 703. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 676320?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 12*d + 23. Let h be w(-7). Let v(i) = i + 2. Determine v(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((12\/(-30))\/(2\/(-40)))\/2. Suppose -o*v = 3*v - 189. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -2*d + 16, -2*d - g = -19. Let h be 10 - (1 + (4 - 4) - 1). Suppose m - h = d. What is the highest common divisor of 144 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*y + 7*d - 2*d, -5*d = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-7)\/(-4))*34400\/(-20640)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:19 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 682307130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 10 - 4*q**3 + 3*q**3.\nAnswer: -q**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*c + 10, -14 = -20*d + 24*d + 2*c. Suppose 0 = 5*k + 4*b - 1, -4*k = -6*k + 3*b - 18. Sort 1, -1, k, d in descending order.\nAnswer: 1, -1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1713, -3426, -5135, -6840, -8541?\nAnswer: -10238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/60 - s**5\/60 - s**4\/24 + s**3\/3 - 10*s**2 - 2*s. Does 22 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 2 = 101 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123928, -123924, -123920, -123916, -123912?\nAnswer: -123908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 140 - 149 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 25*h + 2. Give m(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 17*c**2 + 3*c. Let k(s) = s**3 - 19*s**2 + 2*s. Calculate 3*k(j) - 2*x(j).\nAnswer: j**3 - 23*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 1116*r**2 - 4*r + 22*r + 7*r.\nAnswer: 1116*r**2 + 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 2*g**2 + 2*g - 4. Let b be i(-7). Let k = b + 915. Is k\/12 + 33\/(-12) + 3 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 19\/12)\/(8148\/6111).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043172080 rounded to the nearest one million?\nAnswer: 1043000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o - 5. Let u be q(8). Suppose 0 = -j + a + u, -2*a + 375 = 5*j + a. Round j to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*l + 12 = -0*b, -3*l = -4*b + 12. Suppose -3*f + 2*f - 3 = -3*k, b = -5*f - 5*k + 25. Solve f*x = -5*y + 9, 0*y = -4*x + 5*y + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 119, 465, 1041, 1847?\n\"Answer: 115*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -w + 20, 3*w - 4*o - 55 - 5 = 0. Calculate the highest common factor of w and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/63 + 5\/45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p - 52. Let d(r) = -10*r + 52. Give -3*d(i) - 4*u(i).\nAnswer: 2*i + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(336\/10) - 122\/427. Let k = -5.02 + 0.02. What is the fourth biggest value in k, 36, n, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:40 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-55))\/((-2)\/(-33)))\/(-3 - (-147)\/15)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 + -684*48\/(-36).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 218 + 25 = 0. Is 6 a factor of n\/(-6)*8*1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5597381 divided by 244\nAnswer: -5597381\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5798.479 and -0.2.\nAnswer: -1159.6958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = o, 0*o - 3*w - 10 = -4*o. Let s = 49\/207 - 1\/69. Is o != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j. Let u be l(6). What is the third derivative of 8*i**u + 4*i**2 - 2*i**2 - 4*i**6 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/55375371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 0.4 in increasing order.\nAnswer: -12, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-276)\/42*(-6391)\/132. Let h = u - 318. Factor 0 - h*j**2 + 1\/3*j.\nAnswer: -j*(j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 650664?\nAnswer: -23\/650664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49082.77 hours to nanoseconds.\nAnswer: 176697972000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-5566)*-69)\/(14\/(2156\/3))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 486 and 0.17.\nAnswer: 82.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/43)\/c)**(-45)*(c**(-31)*c)**30 assuming c is positive.\nAnswer: c**(-36675\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -335 - -318 - ((-1 - 0) + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - 0 - (3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Suppose -5*j = -5, 2*j = r*t - 3*j - 55. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -46. Calculate the highest common divisor of y and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, 2, 21, 3 in decreasing order.\nAnswer: 21, 3, 2, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110112414201 + 0?\nAnswer: -110112414201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u. Let y be n(4). Suppose 0 = 2*v - y*v + 136000. Round v to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 2, c: 5}. Give prob of picking 3 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5060699418?\nAnswer: 2, 3, 8719, 96737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**3 + l. Calculate k(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 + 4. Let y = -0.1 + q. Which is the closest to 0.1? (a) y (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0.0295526716.\nAnswer: 0.9704473284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 873 = -62*b, 4632*b - 4629*b - 17 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*y - y + 66, 8 = 4*y. Suppose 9 = -5*u + f. Suppose u*d - 2*d - 12 = 0. Solve q + 8 = z, z - d*q + 13 = 6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxppeccecpppcccxte. Give prob of sequence tec.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/30 - n**2. Let q(c) be the second derivative of -c**3\/3 - 10*c. Calculate q(x(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**3\/3 + 2*i + 11003. Let x(a) = 219*a. What is x(s(k))?\nAnswer: 438*k**2 + 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 2186877.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 3016 and 2994 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 4*j**2 + 3*j - 1. Let l be b(3). Let v = -3 - l. Let a be 7\/7 - (-3)\/v. What is the second biggest value in 0.5, a, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.19087764?\nAnswer: -0.19087764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 117 = -4*d, 3*n = -5*d + 30 + 18. Suppose -12*y - n = -993. Calculate the remainder when y is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -6, 192, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Suppose 4*r - 4*m - 16 = 0, 5*m = 6*m. Put r, x, -5 in increasing order.\nAnswer: -5, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:35 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75936 and 65088?\nAnswer: 455616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 21. Let f = k + 29. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/224559 and -44\/2313.\nAnswer: 57711663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -227 and -0.7081.\nAnswer: 160.7387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -14 - (120 + -14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -478 + 834. Suppose -5*b + u = -446, 9*b - u = 5*b + l. Let r = 36 - 18. What is the highest common divisor of r and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -10. Let o be (-10)\/1*b\/6. Solve -2 = 4*z - o*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.73815 + 0.04355. Let a = t + 1.241. What is a rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6681224 divided by -3301?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*-2*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-4 - 2 + 4)*(96*k**3 + 17*k**5 - 96*k**3).\nAnswer: 102*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31123*-95.\nAnswer: -2956685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-3\/8)*o))\/(o\/o**(-3\/8)))**(1\/23) assuming o is positive.\nAnswer: o**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.8 or 44?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/16 and -97\/98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + a + 74*a**2 - 21*a**2 + 46*a**2 + 50*a**2 in the form v*a + b + d*a**2 and give d.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792 by 16.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(33)\/(sqrt(33)\/sqrt(3)*6 + sqrt(11)) + (((sqrt(432)*2 - sqrt(432)) + -2 - sqrt(432)) + sqrt(432) - sqrt(432))*1)**2.\nAnswer: -2*sqrt(3) + 2404\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529278356.\nAnswer: 2, 132319589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 119*t - 201. Suppose -2*m + 2 + 40 = 0. Let x = m + -10. What is the remainder when c(121) is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -1\/5 (c) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 118*o**2 + 1745*o - 157. Determine d(29).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17681*i**2 + 2. Let w(q) = 2*q. Calculate w(t(g)).\nAnswer: 35362*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + j - 4. Let z be n(2). Let k be 2\/64*2*z. Suppose -3*x - 15 = -3*t, 4*t - 5*x + 19 - 44 = 0. What is the biggest value in k, -2\/15, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/12 and -133\/6039162.\nAnswer: 12078324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 61, -33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*l - 12 = -2*m, -2*m + 8 = -4*l. Let c = 2 - m. Suppose -25 = -2*b + 3*i, c = -5*b + i + 36 - 6. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u**3 - 108*u**2 - 318*u + 1. Calculate i(-3).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 16. Determine p(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 68. Let a = q - 2. Solve -8\/7*i + 0 + 0*i**a - 2\/7*i**4 + 6\/7*i**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261846 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 17 = -5*a + 10, 0 = 2*l - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3502, -3500, -3498, -3496?\nAnswer: -3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - (-3 - -1)) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -124*m**5 + 2*m**4 - 2*m**3 + 96*m - 4. Let q(r) = r**5 + r**4 - r**3 + r - 2. Let y(d) = 2*q(d) - w(d). What is the second derivative of y(p) wrt p?\nAnswer: 2520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 11*r - 12. Let z be l(-4). What is the units digit of -1 + 4 + 1 - z*-20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 89036*b**2\/5 + 990302616*b\/5 - 13881693168\/5.\nAnswer: 2*(b - 14)*(b + 22266)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*r + 7, 2*r = 3*r + 2*t + 8. Suppose -r*b = -7*b + 745. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431624 (base 8) to base 14.\nAnswer: -3a816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/2415 and 229\/4830.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 4 - 3\/(-3). Let j(r) be the third derivative of 1\/2*r**3 - 4*r**w + 0*r + 0 + 3\/16*r**4 + 1\/40*r**5. Factor j(f).\nAnswer: 3*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/9 + -1\/18. Which is the biggest value? (a) u (b) 2\/9 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d + 0*d**5 + 0*d**2 + 0*d**4 + 81 - d**3 - 5\/6*d**6. Find the third derivative of m(a) wrt a.\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**2 + 2*a**2 - 2*a**2 + (-14 - 5*a + 2*a + 19)*(2*a - 4 + 4) in the form m*a + u*a**2 + q and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13395\/2 - 6157. Let o = k + -528. Find the common denominator of o and (-124)\/(-18) + (-2)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:58 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*k - 7*k - 11 = 0, -2*r = 5*k - 41. Let p(z) = z**3 - 8*z**2 + 6*z + 3. Let t be p(7). Let a = r - t. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -5\/3*k**3 + 3*k - 11\/4*k**4 + 24 + 7*k**2. What is the second derivative of p(b) wrt b?\nAnswer: -66*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 79. Let l(d) = -18 + 3*d**2 - d - 12 + i*d + 28. Give l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6386 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137869176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 18 = 45, 23 = r + 3*u. Solve -23 = 3*o - r for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 582480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 750247 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1306 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 741 = -2*i, 32*s = 33*s + 5*i - 13 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.07002534 + -4.07. What is m rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5749*i - 5737*i + 2397 = -11533*i for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (16 - 2) + (-4 - -2 - -9 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 446989\nAnswer: 1\/446989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.077 + 0.07767. Let y = -1 + 1. Let p = y - i. Round p to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859 is divided by 2851.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 13*i**2 + 10*i - 8. Does 8 divide t(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 17. Let p be 2 + i + 1 + 2. Suppose -5*a + p*w = -329, 3*w - 7 = 2. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/54 - 37\/(-63)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-12)\/(-3)))\/(3\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 38001*x**2 + x. Let a be 10\/(-20) - 1\/2. Let t be d(a). What is t rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996274033 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 975820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (424\/14 - 4) + (-4)\/14. Suppose 0 = a - 4*a + 312. What is the greatest common factor of a and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 6 = -3*x. Let o be (-2)\/((-10)\/13) - (-42)\/x. Which is the biggest value? (a) o (b) 0.13 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 - x**2)*(-3*x + 4*x - 3*x)*(51 - 23 + 59).\nAnswer: 174*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776*a = -778*a + 12, 561 = 3*p - 3*a. Calculate the remainder when p is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b + 2. Let c(n) = 68*n - 4. What is -4*c(f) - 9*i(f)?\nAnswer: 43*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**2 + 4*t. Let j be k(4). Is 15 a factor of (j\/(-5))\/((-1)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.233486.\nAnswer: -0.116743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2229.\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 784311 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*y**3 + 526*y**2 - 526*y**2 - 5338*y**3.\nAnswer: -6032*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 6*z - f = -6*f - 86, 2*z + 20 = -2*f for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 19130*n + 649257. What is m(34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 2. Let k be y(1). Let h(n) be the third derivative of n**2 + 0*n + 0 - 1\/70*n**7 + k*n**3 - 1\/40*n**6 + 1\/10*n**5 + 0*n**4. Factor h(j).\nAnswer: -3*j**2*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372176390 divided by -3518401.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13284 and 514632?\nAnswer: 13895064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r)\/(r\/(r*r\/(((r*r**(-12))\/r)\/r)*r*r*r)) assuming r is positive.\nAnswer: r**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x - 19*x = 82*x - 18*x + 8680 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47388661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -1 + (7 - -6) + -6 + -5\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -44*f - 260. Let t be u(-6). Solve 3*y = -t*w + 12, -17*w - 16 = -4*y - 22*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132527463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*h*q + d*q + 2*d - 44156*h*q + 24507*q wrt h?\nAnswer: -2*d*q - 44156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010201002010 (base 3) to base 11.\nAnswer: 706411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2102 - 2103 - (-46 - (2 - 1))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 145*m**2 + 288*m - 308. What is v(143)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8685 divided by -30\nAnswer: -579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p\/((p\/(p\/(p*p**(3\/8)*p*p*p)))\/p) assuming p is positive.\nAnswer: p**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1929623546 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2863 and 303069?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 14 = -2*b + 3*u, b + 13 = -2*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 401 + 1427. Let k = s - 256. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - 2 + 2 + (-57 + 57 - 12*s)*(3*s**2 - 3*s**2 + 15*s**2 + (-3 - s + 3)*(0 + 0 - s) - 2 - 7*s**2 + 2) - 4*s**2 + 6*s**3 + 4*s**2.\nAnswer: -104*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 529390347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-71 - (55 + -207)) + (1 - 1) + 13?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -82. Suppose 5*y - 2 = a. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 19. What is the smallest value in -9\/7, -0.4, x?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -38.78. Let n = -0.55015 - -0.33014. Let v = m - n. What is v rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3061851\/8 or 382732?\nAnswer: 382732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -6*z**6\/5 + 4*z**2 - 12*z + 36. Let c(q) be the first derivative of o(q). What is the first derivative of c(r) wrt r?\nAnswer: -144*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**1\/o*o)\/o*o*o\/(o*o**(-2\/9)\/o*o)*o)**17 assuming o is positive.\nAnswer: o**(493\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/10 - (14 - 16). Let z = 85\/4 - 20. Let y = z - 39\/28. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a - 1. Let n(x) = -x + 1. Let l = -6909 - -6910. What is l*v(o) + 3*n(o)?\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let d = 6 - r. Let o(m) = 9*m**2 + 299*m + 35. Let a be o(-33). Sort a, d, -3.\nAnswer: a, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*g - 25, -2*g - 35 = 2*g + 5*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (165\/220 + (-5)\/4)*0. Let k(w) be the first derivative of -4 + 5*w**3 + 1\/2*w**2 + d*w. What is the second derivative of k(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*d**2 + 59*d**2 - 62*d**2.\nAnswer: -151*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 10. Let f = q + 19. Suppose 0*w - 4 = -w. Solve -4*t = -5*v + t, -w*v - f = -t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173\/987 - 1\/21. Let m = -95\/376 + g. Let k = -5018 - -5023. Which is the nearest to 0.6? (a) m (b) k (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/233 in 2\/3, 13, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 156062.\nAnswer: 156062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 108*f + 6.\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/13773 and -61\/28344.\nAnswer: 130127304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44192 times 4\nAnswer: -176768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 15*d + 27. Let a be y(-13). Let m be -4 + a\/(-8)*-26. What is the nearest to m in -1, -0.2, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*v**5 - 3*a*v**2 + 2*a*v + 108*v**5 - v**4 wrt v?\nAnswer: 120*a*v**2 + 6480*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 17*j**2 - 14*j - 28. Let z be f(16). Which is the third biggest value? (a) -11 (b) -0.1 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8666262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 197744?\nAnswer: 19772a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2276\/(-2988)*(8 - 2). Let h = 8\/83 - v. Factor 4\/3 + 6*z + h*z**2.\nAnswer: 2*(z + 1)*(7*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288) - (-2 + sqrt(512) + sqrt(32) + sqrt(32)))**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 5*u - 4*u + 3*u - 23 + u.\nAnswer: -2*u - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*w**3 + 1199*w - 1199*w)*((-13 + 2 - 2)*(-w + 1 - 1) - 3 - 2*w + 3 + (2*w - 2 + 2)*(-5 + 4 - 1))*(0 + 2 - 1).\nAnswer: 833*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 + (20 - 15) - 11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67.64944 nanoseconds?\nAnswer: 0.00000006764944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -4, 0, 1038223?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(3888) + 3 + sqrt(3888)*3 + sqrt(3888))**2 + sqrt(243)\/(-4*(sqrt(36)\/sqrt(4) + sqrt(9)) + sqrt(9) + sqrt(9)))*1.\nAnswer: 2159*sqrt(3)\/2 + 97207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 5*j - 5. Let y be k(-5). Let p = y + -598\/5. Let g = -467 - -468. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/3 + 14*x**3 + 140*x**2\/3 + 32*x = 0.\nAnswer: -2, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 8:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 23*r - 40. Let p be l(-8). Let z(g) = -g**2 + 16*g + 6. Let f be z(p). Solve -7*n = -f*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13806 + 14046. What is the highest common factor of q and 2480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41601 and 31979283.\nAnswer: 5943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + (-10)\/14. Let g(j) = -j**2 + 6*j. Let i(m) = 34*m - 8*m - 9*m - 4*m - 12*m. Let y(w) = a*g(w) + 6*i(w). Let z(b) = 6*b. Calculate z(y(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17507\/3 + -5836. Let i = -3 - -5. What is the nearest to z in 3, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6921192352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -12. What is the remainder when 45 is divided by (-3 - -5)*((j - -7) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 30. Let q be s(8). Solve 88 - 88 = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 911401634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4\/43, 551, -0.1, 2, 3?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + w = 0, 4*p - p = -4*w + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 304*f + 454372. What is u(-539)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from iciiinlllleiaieci.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 2*v + 5. Suppose 16*n = -20*n. Let f be q(n). Solve -a - 15 = 4*l, 2*l + 4 = -a - f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) 17 (d) -140 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -4*y - 11*y. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d - 104*d = -2*n + 14489, n = -8*d + 115912. List the prime factors of d.\nAnswer: 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -33, 4, 0.473, -2\/7, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 338 + 338.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 + -0.1. Let s = w + 6.4. Which is the second biggest value? (a) 5 (b) -1.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 646228 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1700) + -1 - 4*(1 + sqrt(1700)))*-2 - (6*2*sqrt(1700) + sqrt(1700)*1*-2))**2.\nAnswer: -800*sqrt(17) + 27300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/6 - q**5\/20 + q**4\/12 - 10*q**2 + 2*q + 2. Find the third derivative of r(g) wrt g.\nAnswer: 120*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let n be u(0). Suppose n = 5*j + 5 + 10. What is the tens digit of (-130)\/j + (-34)\/(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (7 - -21 - 14) + 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2214, 58, 2, -39, -0.1 in decreasing order.\nAnswer: 2214, 58, 4, 2, -0.1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9476)\/(-5) - ((-9)\/5 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11465 + -3977. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4, 36 = 2*h + 3*g - g. Let r = h - 23. Let t = 29 + r. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1454 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + 1 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11 = -2*g, -5*x + 19 = -0*x + 4*g. Find the first derivative of 3*p + 214 + 6*p - x*p**2 + 4*p + p + 2*p**2 wrt p.\nAnswer: -2*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.596? (a) -0.07 (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 1113151381\nAnswer: 1113151348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 6.5. Let x = 16759\/40 + -419. Let s = x - 7\/40. What is the closest to 1\/6 in g, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38406528 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v - 2. Let x(w) = -2*w + 7. Let h be x(6). Sort 2, h, v in descending order.\nAnswer: 2, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46504 + -27434. Suppose 3*f + 5*y - 19 = f, 5*f = 4*y + 64. Suppose 2*j = f*j - n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/8 + 3617*z**2\/8 + 409060*z + 408608 = 0 for z.\nAnswer: -1808, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 9 (b) -2\/13 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 3:49 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/2 - 2\/(-4). Let o = -9 - p. Let j be (1\/o)\/(1\/(-2)). Is j greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let j be 0*(-2 + 3) + b. Let q(d) = 0*d**2 - 7*d**3 - j + 0*d**2 + 0*d**2. Determine q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0500038 - -0.05. What is i rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18678984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-9)\/21*(-210)\/(-225)*15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9*d - 144. Put 4, 0, d, -1 in descending order.\nAnswer: 4, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 6 = 0. Let o(t) = -t**3 - 21*t**2 - 20*t + 6. Let r be o(-20). Let a(c) = r*c**2 + 4*c - 4*c**2 + 20 + 15 - 35. Give a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1658 - -38144\/23. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, -1 in increasing order.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 8*j - 8. Let a be 3\/(6\/22) + -5. Determine d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 21956*b**2 + 262976*b - 438160.\nAnswer: 4*(b - 5477)*(b - 10)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/7 (c) 0.5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 952*f**3 + 414132*f**2 + 5220*f = 0.\nAnswer: -435, -3\/238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, a: 5}. Give prob of picking 2 a and 2 c.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 2*y - 13. Let j be s(5). Let w be j*(-6)\/(-8)*(-2)\/3. Sort 10, w, -3 in increasing order.\nAnswer: -3, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-8))\/(3 - 39\/12). Solve -s + l - 2*l + r = 0, -4*s = -l - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62039, 124071, 186103, 248135, 310167?\n\"Answer: 62032*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*i - 39. Suppose 8*v - i = 4*v. Find the third derivative of 12*h**v + 6*h**6 - 13*h**2 - 3*h**6 wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = 14*b + 223354 - 688546. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -20*y - y**5 - 4\/15*y**6 - 4 + 0*y**3 + 0*y**2 + y**4. Factor o(a).\nAnswer: -4*a**2*(a + 3)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*p = 35*p - 99*p + 5473 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36975 - 12168. Is h a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = 4*v, -2*v = 4*q + 17 - 51. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 71*m**2 + 36*m + 106. Let r be g(-35). Let o = -50 + r. Solve o*c = 17*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 3*b**2 + 3*b. Let r be g(3). Let s be (-21)\/(-12) + r\/(-12). Let p = s - -20. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 2*sqrt(77))*3 + sqrt(77) - -2*sqrt(77)*3)\/(sqrt(7) - sqrt(28)\/(sqrt(16)\/sqrt(4)) - (sqrt(7) + (sqrt(105)\/sqrt(3))\/sqrt(5))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1747 divided by -13\nAnswer: -1747\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w. Let d(c) = -c**3 - 14*c**2 - 12*c + 15. Let s be d(-13). Let g(z) = -4*z + 4*z + z**s. Calculate y(g(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20*(-200)\/(-75)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 120 + 118*o + 1441*o + 127.\nAnswer: 1559*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0, 2\/73, 3, -16 in descending order.\nAnswer: 3, 2\/73, 0, -2\/9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k. Suppose 2*v - 3*v = 1, -4 = -s - 4*v. Let c(x) = s - x - 6 - x. Let q(g) = 2*g - 3. Let y(u) = 3*c(u) + 2*q(u). Determine w(y(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10)\/(14\/20). Let k = 1.45 - 1.15. Let z = -227 - -236. Which is the third biggest value? (a) z (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 16 - 66 = 0. Suppose 0 = 5*j - 0*j - v. Suppose -j + 1 = -n, -c = 2*n - 16. Calculate the remainder when 53 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11100322 - 1?\nAnswer: -11100323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n + 24*n - 136. Let -131*x**2 + 2*x**4 - 29*x**3 - 24*x**n - 48*x - 8*x**4 + 11*x**2 - 3*x**5 - 70*x**3 = 0. What is x?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -35*w - 12. Suppose -4*l - 195 = -2*a + 51, 6 = -w*l. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 118*r**2 + 2*r. Let c be v(-1). Let m = -109 + c. What is the remainder when 23 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9632504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1104 - 1103.9381. Round c to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(((-28755)\/10)\/9 - -3). Is v smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 0*l)*(-l**3 + 5*l**3 - 3*l**3) - 8*l**4 + 6*l**3 - 9*l**4 + 16*l**4.\nAnswer: -2*l**4 + 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -42*w**5 + 254*w**4 - 386*w**3 - 6*w**2 + 36*w = 0.\nAnswer: -2\/7, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Let q(g) = -g - 35. Let i be q(d). Is (-2044)\/i + (-6)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-25 + 2) - 26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18087.999651 - 18088. Round r to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -555*f**2 - 7*f + 7. Let y(u) = -277*u**2 - 4*u + 4. Let z(q) = -3*j(q) + 5*y(q). Let i be z(1). Suppose -i = -3*x - 31. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -0.03, -6\/671, 5 in increasing order.\nAnswer: -0.5, -0.03, -6\/671, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.016 + 0.084. Let r(p) = 3*p**2 + p. Let x be r(-1). Which is the third smallest value? (a) x (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - k**2 - 4*k + 5. List the prime factors of p(-4).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:42 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 540746165*n**3 - 8*n**2 + 7914324 wrt n.\nAnswer: 3244476990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-8))\/(2\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-3)*1617\/196. Suppose g*a - 48 + 26 = 0. Suppose 0 = 4*h - h. Solve -a*m - 3*m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39797 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 6*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**2\/2 + 6*w - 74. What is m(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 8. Suppose -t = 5*x - 39, -7*x = -t - 9*x + 27. Suppose p*y - t = 41. Which is the second smallest value? (a) -2\/3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9186285 - 0.9197. What is b rounded to five dps?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1544 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-9) - -1)*6. Let l be ((0 - 0)\/(-1))\/(-2). Let c = 1 - 3. Sort a, l, c.\nAnswer: a, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -13. Let r be (b - -373) + 0 - 4. Suppose -10*v + 5*v + r = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(475))**2 + -2*(sqrt(19) + 0) + (sqrt(57)\/sqrt(27) - sqrt(19)).\nAnswer: -68*sqrt(19)\/3 + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let u(v) = -1057*v + 238564 - 238564. Give u(o(h)).\nAnswer: -2114*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 - (5 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 8. Let x be -4*3\/(-12)*2. Suppose -x*f - 14 = -4*b, 0*f - 11 = f - 3*b. Suppose -2*t = -f - 11. Let j(w) = 2*w + 15. What is t*j(i) + 11*n(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*p**2 - 20 + 40 - 20.\nAnswer: 43*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -27 in decreasing order.\nAnswer: 5, 2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15646299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9186084 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -22*(-3)\/2 - -1. Let u(w) = w - 2. Let j be u(5). Suppose -44 = -4*y - 0*a - 2*a, -2*a + v = j*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86991 and 31458.\nAnswer: 8525118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**27*m**(-2\/11)*m**(2\/3) assuming m is positive.\nAnswer: m**(-1670\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**7\/1260 - r**6\/240 + r**5\/360 + r**4\/48 + 20*r**2. Factor c(n).\nAnswer: -n*(n - 1)*(n + 1)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/30)\/(24396\/20330).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13))**37 assuming b is positive.\nAnswer: b**(-481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69594124 and -0.4.\nAnswer: 69594123.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 395\/80 + (-2 - 2). Let s = a - 221\/304. What is the nearest to 1 in s, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 304 - x + 154 - 90.\nAnswer: -x + 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((0 - 0) + 2 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 7820*y**3 - 3802400*y**2 - 19208000*y.\nAnswer: -4*y*(y - 980)**2*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-3528)*-512*-3.\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (0 + sqrt(468) + 1)) + (sqrt(468) - (sqrt(468) + -1 + sqrt(468) + 0)) + 0)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvvfwvfvvpvvffvvf. Give prob of picking 1 f, 1 p, and 1 w.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from vmzmmmmmvmvmzmvz.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/17 - 34725744*k\/17 + 150734662044192\/17.\nAnswer: 2*(k - 8681436)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 0*h**2 + 2*h**2 + (-5 + 27*h + 5)*(6*h + 0*h - 2*h) + 2*h**2 - 6*h**2 + 2*h**2 + (5*h - 2*h - 2*h)*(0 + 0 - h).\nAnswer: 103*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 25*p - 75. What is k(-25)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 1\/20 (d) 0.2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107691.\nAnswer: 3, 35897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*l - 2 + 6, d + 4*l = -2. Let p = 0 + d. Solve -3*r - p*r + 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -0. Let v(d) = d**2 - d + 1. Let z be 3\/(-2)*(-10)\/15. Let p(c) = 2*c**2 + z - c**2 + 0*c**2. Calculate q*p(x) - 2*v(x).\nAnswer: x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*r - 140 = -219*r. Solve m + 4*m + r = -3*c, -3*m = 4*c + 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389488426 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030021213 + 311?\nAnswer: -1030020302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1480 and 1776.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = j. Let w = -5 + j. Which is the nearest to w? (a) 3\/4 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 23 + 441. What is the remainder when 42 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359967773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4689501 days to seconds.\nAnswer: 40517.28864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 107, 146, 185, 224?\n\"Answer: 39*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 + -142. Solve -4*y + i = -3*n - 2*n, 5*n = y - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k - x = 200, 5*k + 71255 = -2*x + 71110 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11719156 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 4082\/154155 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h)*(-2 - h - 2*h - h).\nAnswer: -8*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 f when four letters picked without replacement from {f: 9, x: 5}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 11, 2\/7, -2 in descending order.\nAnswer: 11, 0.3, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 2, m: 4}. What is prob of sequence xggm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5 + 3. Let d(v) = -6*v**2 - v + v**2 + 2*v**2 - 1. Give d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 11*h**2 - 9*h + 9. Let i be n(-10). Does 11 divide (i - -4)*(4 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(-1032 + 292*m + 1032) to the form l*m + k and give l.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 986863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-4))\/(280\/448)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*b + 4*w, 4*b - 10 = -9*w + 12*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 2344866.\nAnswer: 16414062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 89223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s - 2. Let g = -12 + 10. Let a(t) = t**2 - t - 1. Let f = 6 + -2. Determine f*a(v) + g*x(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1151, -1155, -1161, -1169, -1179, -1191, -1205?\n\"Answer: -q**2 - q - 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553\/88556 or 0?\nAnswer: 553\/88556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 23 + 101 = 0. Let f be 72\/39 + (-2)\/m. Let s(p) = -p**f - 7*p + p**2 + 0*p**2 + p**2. Give s(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-70))\/((-3)\/3*(-18)\/(-90)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -407 (b) -37.66 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 50 = 9*i. Let d be 1\/(-3)*i\/(-45). Let h = d + 16\/27. Which is the nearest to -1\/4? (a) 5 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {s: 5, m: 5, y: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 15 = -4*d, -50 = 5*d + 5*s - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/15))**(-1\/20) assuming j is positive.\nAnswer: j**(-7\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213879535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 22. Let o be q(21). Let p be 92500001\/5 + o\/(-5). What is p rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u - 20. Let b be v(-7). Suppose 3*d + 2*q - 19 - 38 = 0, 0 = -d + 5*q + b. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 + -292. Calculate the remainder when 116 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 7*g + 49. Let f = -5127 - -5136. Determine w(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2650 (base 7) to base 5\nAnswer: -13030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63340 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 64. Suppose 5*j - h - 60 = 5*f, -70 = -4*j + 2*f. Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3590036*n**4 - 15*n - 11906 wrt n.\nAnswer: 43080432*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*x - 262, 4*x - 127 = -2*u + 421. What is the remainder when x is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21432888 < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16111943*u**3 + 15563246?\nAnswer: -48335829*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/4, -10, 125, -4\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-15) - 610\/(-25)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + -72. Let u be -1 - ((-57)\/(-18) + -4). Let i(c) = -c**3 + c**2 - 3*c. Let n be i(2). What is the nearest to 1\/3 in u, n, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3611904 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-2\/5)*u)**(-36)\/(u\/u**(-2\/15)*u**(6\/5)) assuming u is positive.\nAnswer: u**(-1979\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 40*x**2 - 1. Let g(d) = -20855919 - 9*d + 20855919. Determine m(g(u)).\nAnswer: 3240*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313940 (base 10) to base 11.\nAnswer: -1a4960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Let y = 10 - f. Determine h, given that -11\/2*h**2 + 2 + 3\/2*h**3 + y*h = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 467882?\nAnswer: 467877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.88 - -0.12. Let i = -5.2 + s. Put -0.3, 1, i in increasing order.\nAnswer: -0.3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Suppose j = -11*j + 60. Suppose 29 = j*z + 9. Let w(d) = -5*d + 2 + z - 6 + 2. What is w(b(c))?\nAnswer: -10*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -30211.82194.\nAnswer: -30215.82194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c = -53*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-28*92\/8. Let d = 545 + v. Suppose 5*a - 4*r = d + 1251, 0 = -2*r + 8. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938165.3l to millilitres.\nAnswer: 938165300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*u = -468, -u + 219 = 2*b - 0*b. Let j = b + -105. Suppose 4*x - 11 = -j*x. Is -3\/22 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + 0*z**3 + 0*z**3 + (-z**4 + 0*z + 0*z)*(2 - 2 - 1) + z**4 - 1 + 1)*(4*z - 2*z - z).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**4*u + 537*r**2*u - 4372*u with respect to r.\nAnswer: -12*r**3*u + 1074*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 3 - 4*u + u**2 - 14*u. Let h be a(-17). Solve -h = -4*p, -5*p - 3 = -4*c - 4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-8))\/1*7592\/6643.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/105 - 3*y**5\/5 - 31*y**4\/42 - 152*y**2 + 2. Factor t(v).\nAnswer: -4*v*(v + 31)*(2*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240365 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1794*c + 2. Let z be f(3). Let j be ((-10)\/20)\/((-1)\/z). Is 3\/2*j\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*h + 4. Let l(v) = 24*v + 6. Determine l(h).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 26. Let q(s) = 12 + 67 - 10*s**2 - 79. Determine y(q(b)).\nAnswer: -100*b**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 2*i**6\/3 - 9*i**5\/5 + 3*i**4\/2 - i**3\/3 + 6. Suppose v(x) = 0. Calculate x.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6, k: 13}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 297638560 divided by -125480\nAnswer: -2372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, i: 3}. Give prob of picking 3 e.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 633989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112) + -4)*2)**2 + (sqrt(63)\/(sqrt(324) - sqrt(9)) - (sqrt(1008) + -4))**2.\nAnswer: -16472*sqrt(7)\/5 + 344767\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1794 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.46915 centuries to decades.\nAnswer: 924.6915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -196*n + 154. Let c(y) = -294*y + 230. Let z(s) = -8*a(s) + 5*c(s). Find the first derivative of z(d) wrt d.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 3*u, -2*u = 5*j - 10*j + 20. Suppose -8*i + 12 = -j. Is i\/4 - 133\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 57*s + 22. Give h(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 292*x**5 + 21915*x**4 + 548625*x**3 + 4590625*x**2 + 234375*x = 0?\nAnswer: -25, -15\/292, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 3. Suppose -2*z + 304 = 2*z. Suppose 5*a - z = a. What is the remainder when a is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-65)\/(-10) + -5)*(-20)\/(-1). Let c be ((-4)\/(-3))\/(h\/(-135)). List the prime factors of (-583)\/(-15) + c\/(-45).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/5 (b) 4 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6824 = -2696*h + 33616 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 1113 + 147. Let a = 105 - 166. Let r = a + x. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 5.9. Let b = -0.473 - -0.973. What is the nearest to q in -3, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 98, 289, 662, 1277, 2194, 3473, 5174?\n\"Answer: 10*x**3 + x**2 - 4*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + -1) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1040155*p**2. Let w(x) = -2*x + 28. Give w(v(m)).\nAnswer: -2080310*m**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7232466 and 30?\nAnswer: 36162330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.778159 millimeters to micrometers.\nAnswer: 778.159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - -0.1. Let t = 859 + -1717\/2. Are v and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:48 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 1. Let n be m(2). Put 5, -5\/3, n in decreasing order.\nAnswer: 5, n, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106384 and 576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14492182200 + 2*y**2 + 14492182200 + 2*y.\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/5 + -1)*-5. Let p be ((-2*4)\/j)\/(-1). Let y(a) = 4 - 1 - 2*a - 4 - a**2 + 0. Give y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 102*a**2 + 2*a - 1. Let v = 2384 + -2365. Calculate the remainder when y(1) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-4) + 1 + 1. Let r = -16 + j. Solve -2*i = -r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 59264*j - 59264*j + 120*j**2 + 2 + 814*j**2.\nAnswer: 934*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 15.95?\nAnswer: 16.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = z - 4*z + 9*h + 29, 4*h - 74 = -2*z - 168 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -5*g**4\/12 - 46*g + 60. Let x(w) be the first derivative of n(w). Let q(d) = 8*d. Calculate q(x(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 0.2.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 600.559\nAnswer: 4804.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-25))\/((-16)\/40).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2544?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kllfllllllffklkrkklf. What is prob of picking 1 r and 3 l?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*s**5 + s**4 + 17004*s**3 + 40*s**2 - 4373*s + 1 wrt s.\nAnswer: 2400*s**2 + 24*s + 102024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.2, -3\/184, -16, -0.5 in decreasing order.\nAnswer: 9, -3\/184, -0.2, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 883911*j\/2 - 883910.\nAnswer: -(j - 1767820)*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 63547, 2 in increasing order.\nAnswer: -9, 2, 63547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. What is the units digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:50 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2211 (base 3) to base 4\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12040)\/12)\/10 + (-8)\/(-6). Let u = 109 + z. Calculate the least common multiple of 25 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -116. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.815418.\nAnswer: 0.1630836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-130315.\nAnswer: -117283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -15.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -1322, 1, 1.16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 + -8.4. What is the closest to m in 2.3, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4860 and 29009910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 - -49. What is the highest common divisor of 51 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 29*s**2 - 1. Let l be u(1). Suppose 3*p + l = -4*b, 37 + 21 = -5*b + 2*p. Let w be 2*(22\/b - -2). Is w != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*p - 48, 0*h + 3*h + 34 = -4*p. Let x be (-43)\/(-4)*(-14 - p) - -2. Let z = 147 - x. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 49, 81, 135, 217, 333?\n\"Answer: o**3 + 2*o**2 + 3*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3\/2, -0.5, 707.53, 3.\nAnswer: -3\/2, -0.5, 3\/2, 3, 707.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925167961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6464177\/47235 + -48\/3149. Let n = w - -137. Which is the nearest to 0.3? (a) 0.2 (b) 2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*(-10)\/((-300)\/1). Put 4\/3, 1, -1, q in decreasing order.\nAnswer: 4\/3, 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -77730.823 rounded to the nearest 10?\nAnswer: -77730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -11*k + 10*k, -4 = 4*k. Let t(b) = 5*b**3 - 2*b**2 + 1. Suppose -6*c + c - 15 = 0. Let l(g) = g**3 - g**2. Calculate c*l(m) + z*t(m).\nAnswer: 2*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 6411. Let u(g) = -58*g**2. Give x(u(z)).\nAnswer: 174*z**2 - 6411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1725*w - 1766. Let p be m(2). Solve -u - 1675 = -p for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-25) - (-18 + 10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a - 3 - 25 = 63*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -11*h**2\/2 - 65*h - 333. Find the first derivative of s(n) wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/(((-28)\/12)\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 383996 = 11*k - 4*y, 5*k + 5*y - 174560 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19714 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e23 - 94e?\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/3 + 2*s. Let t(i) be the second derivative of i**4\/3 + 19*i + 2. Determine w(t(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1583 + -1580. Solve 0 = -6*c - v*c + 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 6*v**2 - 7*v + 2. Let m be a(7). Let f(x) = -5*x - 1. Let o(u) = 5*u. Let c(g) = m*f(g) + 3*o(g). Calculate c(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - 23.07. Let v = 5185.91 - 5209. Let j = b - v. Round j to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3256474 litres?\nAnswer: 325.6474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v**2 - 5. Suppose 6*p = 33 - 9. Let w(t) = -50*t**2 + 16. Let q(z) = p*w(z) + 11*c(z). What is the first derivative of q(g) wrt g?\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91900?\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 11. Suppose -4*h - h = -10. Suppose -h*f = -7*f - 25. Is v(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) + (140\/21)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -y + t, 3*y = -9*t + 4*t + 29. Suppose 5*p = y*p. Let v be -2 + -1 + (7 - 1). Solve 4*k + w - v + 2 = p, -w = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + w**2 + (w - 5 + 5)*(0 + 0 - 3*w + (-3 + 5 - 1)*(-2*w - 3*w + 3*w) - 43*w - 13*w + 9*w).\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 53*b**3 + 19*b**2 + 690*b + 8. Let i(u) = -18*u**3 - 7*u**2 - 231*u - 3. Let j(k) = -11*i(k) - 4*q(k). What is the second derivative of j(o) wrt o?\nAnswer: -84*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16575 - 15960. What is the greatest common factor of 1107 and k?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7332 - -718537\/98. Is i greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - b - 2. Let x(v) = -v**3 + 2*v**2 - 2. Let o be x(2). Let y be g(o). Suppose y*s = 5*s - 1. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Let f be 1 - -1*(q - -4). Let s(x) = -f*x - 2*x - x + 7*x. Let a(w) = 5*w. Give s(a(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101.527 - 374392.02.\nAnswer: -374290.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.949 millilitres?\nAnswer: 0.078949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - 4*m**2 + 2*m**2 + (2*m**2 - m + m)*(0 + 1 - 3) - m**2 - 2 + 2 + 4*m - 262 + 55*m**2 + 262.\nAnswer: 52*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1095*m*t**4 - 5*m*t**3 - 18*m*t**2 + 24*t**4 - t**3 + 7312*t**2 - 25 wrt t?\nAnswer: 26280*m*t - 30*m + 576*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 4*d**2 + 5. Let s(y) = -4*y**3 - 3*y**2 + 5. Let r = -35 + 30. Let j(v) = r*x(v) + 4*s(v). Determine j(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2237 - -2237. Let c(s) be the first derivative of 10\/3*s**6 + 0*s**5 + 16 + 0*s**4 + v*s**2 + 4*s**3 + 0*s. Find the third derivative of c(a) wrt a.\nAnswer: 1200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283048668 is divided by 94349553.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Suppose 40 = p*s - 0*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(-9)*(y\/(y\/(y*y**3*y)))**(-3\/5) assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12661 - -27500. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 442 + 33*k**4 + 14*k**4 + 1263*k + 65 - 1255*k + 2380 wrt k.\nAnswer: 188*k**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 42 - 83 + 42 - 682*h. Let u(n) = 4*n**2 + 77*n + 18. Let k be u(-19). Is q(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49380.8 minutes in nanoseconds?\nAnswer: 2962848000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24395.7 - 24396. What is the biggest value in -8, 0.2, -2\/11, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*d - 210, d + 3*l - 28 = 20. Suppose 2*r - d + 14 = 0. Let p(x) = 29*x + 1. What is the remainder when p(2) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*52*(-10800)\/96.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2.1, -0.5, 1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16760137783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1778*l + 39772 = -37709 + 20585 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/8)\/(105\/(-445)). Let f = q - -13\/2. Which is the third smallest value? (a) -0.5 (b) 0 (c) -4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z - 6. Let j be k(-2). Let w be (2\/(-8))\/(j + 57\/(-15)). Which is the closest to w? (a) 5 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89234600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2. Let a(s) = 1567564*s - 5. Determine a(c(i)).\nAnswer: 6270256*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -2 - (-1)\/1. Suppose -5*g + 4*j = -1, -4*g = 3*j - 5 - 2. Solve -l*p - 32 = -3*o, 5*p + 3 + g = -4*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1394, 2729, 3990, 5177, 6290, 7329?\n\"Answer: -37*z**2 + 1446*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19545191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8262576 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.7 (b) -3\/5 (c) -1\/2 (d) 3.3 (e) -2\/3 (f) -8\/15 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-3))\/(4\/6). Solve -v*a = -10*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7 = u, -3*i + 5*i + 12 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3063 + 3075. Solve -d = 2, 2*d + 8 = 10*k - t*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7077 times 0.012?\nAnswer: -84.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (178 - (75 - -34))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13311 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 18. Solve d + 0 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 61 = 4*z, z + t = 16. Which is smaller: 20 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 3*p**2 + 9*p + 12. Give f(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - k - 10, 5*b = -k + 8. Factor 0 + 0 + 12*y**3 - 2414*y - 16*y**b + 2366*y + 4*y**4.\nAnswer: 4*y*(y - 2)*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4536)\/2772*22\/(-6)*(-3)\/48?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 - 1. Suppose -2*f + 3*u - h = 0, 336 = -4*f + f - 3*u. Let a = f - -142. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18875 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 38 = -4*i, -307*i + 280 = -309*i - 88*s for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26392 divided by -1227\nAnswer: -26392\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h**4 - 2*h**4 + 134*h**3 - 7*h**4 - h**2 + 342*h + 80*h**3 - 344*h as y*h + o*h**4 + t + z*h**3 + x*h**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 7, f: 4}. Give prob of sequence gfr.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 13. Let s be z(14). Let f = 37 - s. Is (7 - f)*-353*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 212*p + 4872. What is t(187)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 7}. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4 + 2*j + 9 + 17*j**2 to the form x + u*j**2 + w*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjojjojjojj. Give prob of sequence jjjo.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10032396 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: Solve -k + 4*u = -40, 3*k - 901*u - 21 = -900*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-6))\/(4\/8). Let o be (-15)\/(-2)*2\/3. What is the smallest value in v, o, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -6 (c) 2832 (d) -138 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -2, -5 in descending order.\nAnswer: -2, -5, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 - 10*c + 13. Let g be l(9). Factor -2*t**3 - 5*t**2 - g*t + t**2 + t**3.\nAnswer: -t*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763383 take away 3?\nAnswer: 763380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**7\/840 - g**6\/360 + g**5\/120 - g**4\/24 - g**3\/3 + 4*g**2. Let z(d) be the first derivative of j(d). Calculate z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -34, -7, 25, -10 in descending order.\nAnswer: 25, 5, -2, -7, -10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5261*m + 5261*m + 614441*m**2 - 614452*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 676 + -648. Calculate the remainder when 185 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*p**2*s**2*w**2 - 5*p**2*s**2*w - p*s**2*w**2 + 28*p*s**2*w - 14*p*s - 2*w**2 wrt p?\nAnswer: -304*s**2*w**2 - 10*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17369067*p - 168768232 wrt p.\nAnswer: -17369067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113\/(7119\/(-210))*12\/(-52)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/12 and 53\/327.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/((-4)\/(-18)). Let p be 5 - l\/3*1. Let j(x) = 4*x + 1. Let y be j(1). Solve 2*h + h - 5*r + y = 0, p*r - 7 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 29 - -52)\/(9\/8 - 1). Calculate the highest common divisor of g and 2768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666145721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1061?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*q = 60, -2*y + 60 = y + 2*q. Suppose -2*b = -4*b - y. Is -35*((-14)\/b + -3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*b - 144*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 352*s**2 - 4*s - 2. Let m be u(-2). Let k = m + -737. What is k rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2555*j**4 - 3558*j**4 - 3364*j**4)*(3*j + j - 5*j).\nAnswer: 4367*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15961 and 301.24?\nAnswer: 15659.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 14. Give d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -18535.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*q + 3*f + 12, 0 = -q - 2*f + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*b**3 + 2*b + 8 + 21*b**2 - 23*b**2 - 2*b wrt b?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120281 in -5, -1.7, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p - p)*(-6 + 5 + 2) + 44*p**2 - 44*p**2 - 13*p**3 + 0*p**3 + p**3 + 0*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 5, -0.11 in ascending order.\nAnswer: -0.11, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000316714 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87799741?\nAnswer: 19, 227, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*u + 862, -835 = -5*d - u + 6*u. Let n = -1506 + 1550. What is the remainder when d is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h*r**2 + h*r + 42*h - 88334*r**2 - 2 wrt h?\nAnswer: 7*r**2 + r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 1373340*u**3 - 94307257710*u**2 + 565806466620*u - 848691160245.\nAnswer: -5*(u - 137331)**2*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 - 7)*(0 + 0 - 1 + 4*b) to l + i*b and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11228 - -11220. Which is the nearest to -0.2? (a) 3\/5 (b) 13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46872 and 12852.\nAnswer: 796824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-2 + -14 - -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 8*m + 5*m - 8391. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 732.8 + -2\nAnswer: 730.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*o + 12 - 0, -i = -5*o - 22. Suppose -h + 13 = 2*q, q + i*h + 11 = 22. Which is the closest to 2? (a) -8 (b) q (c) -1\/3 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**6 - 4*d**5\/5 - 20*d**3\/3 + 28. What is the third derivative of s(l) wrt l?\nAnswer: 720*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86171587, -172343172, -258514757?\n\"Answer: -86171585*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1637\nAnswer: 491.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -33*d + 75. Let s be 61\/(-5) - (-3)\/15. What is the hundreds digit of k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 32 = 4*d - 51*w, -3*w = -3*d - 39 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*h**4 - 48*h**4 + 3539*h + 24*h**4 - 2*h**2 + 18*h**3 + 1523*h wrt h?\nAnswer: -12*h**2 + 108*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2393*k - 1574*k - 1010*k - 652*k**2 + 886*k wrt k?\nAnswer: -1304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 127*b. Let k(i) = i - 2. Let y(p) = -2*p + 3. Let h(a) = 3*k(a) + 2*y(a). Determine h(o(w)).\nAnswer: -127*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0777 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197\/10, 5, 7, 4 in decreasing order.\nAnswer: 197\/10, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/111630 and 53\/935.\nAnswer: 20874810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -3.5. Let b = o + 1.6. What is the second smallest value in -4, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22210 - -223200?\nAnswer: 200330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u + 2. Let s be h(-2). Let n be 3\/s*(2 + -2). What is the units digit of (6\/4 + n)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*h + 214, -5*h + 25 = -3*w + 345. Calculate the greatest common factor of w and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m - 296 - 106 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12096\/5 - -2411. Let l be (335\/(-44)*-2)\/(-2). Let i = 150\/11 - l. Calculate the common denominator of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-690)\/(-46)*70*144\/(-2700)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 10. Suppose 9 = 2*s + x. Let h(k) = -k + 5. Let f be h(0). Solve -p + s*p = -f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddpddduttwt. Give prob of sequence wtpu.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5264 divided by -2685\nAnswer: 5264\/2685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 35 = c. Let o = -48 - c. Solve 4*y - 6 = -o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 129, 131, 135, 141, 149, 159?\n\"Answer: y**2 - y + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -17*f**2. Let r(v) = 5*v + 3*v - 6*v. Determine r(c(x)).\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/10 - m**3\/3 + 5*m**2. List the prime factors of j(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331763819.\nAnswer: 113, 1447, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - 4. Let n = -5 + 8. Let w be n\/4*8\/i. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.88 - 5.88. Let y = -0.5 + -1.5. Let g = p - y. Which is the second biggest value? (a) g (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/191400 and 23\/5775?\nAnswer: 1339800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -1059*p**3 + 1074*p**3 - 4715*p + 2456*p**2 - 466*p**2 + 1350 = 0. What is p?\nAnswer: -135, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 771*p**4 - 455*p + 10.\nAnswer: 9252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*m - 102*m + 1401 = 37958 - 5378 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 5, -13, -55, -127, -235, -385, -583?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.06, 0.422, 4 in decreasing order.\nAnswer: 4, 0.422, -3.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -422, -635?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3127 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syttyeiytssytss. What is prob of picking 1 i and 1 t?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3432 + -4?\nAnswer: -3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004839343 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (10 - 21) - -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (2 + -12)) + (-690 - -729)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24048.6 + -322.\nAnswer: -24370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.1 - -25. Let u = 1.3 + -1.5. What is the closest to c in u, 0.1, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, 0, -1, -3 in ascending order.\nAnswer: -10, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-232)\/(-4) + 2 + -2 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-634)\/(-214) + -3)*(-138)\/(-92). Sort -0.4, -4, r in descending order.\nAnswer: r, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -15. Let v(j) = -4*j - 11. What is v(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6*m = -5456 + 5453, 6*u - 3*m = -18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42797, 42808, 42831, 42872, 42937, 43032, 43163, 43336?\n\"Answer: w**3 + 4*w + 42792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-116010 + 115989)\/((2\/(-1) - 0)\/(4\/3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 20 = -11*b - 3*x, 4*b + 3*x - 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200475983*n**3 + 214756174*n**2 wrt n.\nAnswer: -1202855898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010100?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.69 + 3.31. What is the nearest to 1 in -2\/7, v, -3\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 537*v**5\/5 + 1070*v + 40. What is the derivative of c(l) wrt l?\nAnswer: 2148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1073424 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from {u: 2, y: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 5 + 5. Suppose 0 = 5*i - 2 - k. What is the units digit of (8 - i)*1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 1391, 1396, 1399, 1400, 1399?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -31 - 19. Suppose o*p = 8*p + 270. What is the lowest common multiple of (6\/(-15))\/((-3)\/p) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 90*i - 3307. Calculate r(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 21*z**2 - 34*z + 54. Calculate the remainder when 224 is divided by t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -298 (b) -0.2 (c) 3\/4 (d) -1 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8494380 by -1845.\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/16 - 1\/16. Let f = -5.082 + 0.082. Sort f, t, -2\/7 in decreasing order.\nAnswer: -2\/7, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15248, -15240, -15236, -15242, -15264, -15308?\nAnswer: -15380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*r - n - 45, -8*n = -4*r + 60 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 + 140 + (1 - (24 - 1)) + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 3. Let f be s(11). Suppose -4*k - 15 = -7*k - 4*l, l = 3*k - f. Calculate the smallest common multiple of 11 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -47) + 14 + -37 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001373816026 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -439, -879, -1311, -1729, -2127, -2499, -2839?\n\"Answer: y**3 - 2*y**2 - 441*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3277 and 40339.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3a058e - -7?\nAnswer: c3a0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6474 divided by 3?\nAnswer: -2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/4, 7, -2\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-7 - 6) - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-650)\/(-75))\/(5 - (-8 - 152\/(-12))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10124 divided by 258\nAnswer: -5062\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12242*c**3*r**3*t + 4*c**3*r**3 - 141*c**3*r - 6*c**2*r**3*t + 94*c**2*r*t + 8*c*r**3*t + 6*c*r**2*t + 5*c*r**2 wrt c.\nAnswer: 73452*r**3*t + 24*r**3 - 846*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 5. Let z(o) = o**3 - 7*o**2 - 3*o - 38. Let s be z(8). Calculate v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-15) - (-480)\/75.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995?\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 y, and 1 t when four letters picked without replacement from {t: 3, g: 1, r: 1, y: 3, c: 1, k: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/17 + 51 + -60 + 11 + -9 + -4.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 33\/12)*104480\/60. Let y = 436 + s. What is the nearest to -1 in y, 5, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**2*j*t + 2*a**2*t - a*t + 40*a + j*t wrt a?\nAnswer: 18*j*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 5215*k.\nAnswer: k*(k + 15645)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418522474 to the nearest integer?\nAnswer: 20458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*i + 31023 - 12204 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.29309588169.\nAnswer: 0.49309588169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 43*z**3 - 3*z**2 - 4*z - 2. Let o be d(-1). Let x = o - -41. Suppose 3*m - m = 8. Sort 1, m, -38, x in descending order.\nAnswer: m, 1, x, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 10*h**2 + 10*h + 13. Let a be g(-9). Suppose 4*m - 2442 = -5*s + 2*m, m + 1964 = a*s. What is s rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -679, -665, -651, -637?\n\"Answer: 14*i - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17101479, 34202958, 51304437, 68405916?\n\"Answer: 17101479*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*n + 1076*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100418840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*q - 3*q. Suppose -5 = -n + q. Suppose 5*d - 16 = -4*m + d, m = d - n. Is 2 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 342 = -438. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2259 and 61416437.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)*l\/(l\/(l\/(((l\/(l**(1\/11)\/l))\/l)\/l))))\/(l\/(((((l\/l**(-1\/5))\/l)\/l)\/l)\/l*l*l))**(-19))\/(l**(2\/13)\/l**(2\/5))**(-1\/63) assuming l is positive.\nAnswer: l**(1604518\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -2, 3, 4, 2808?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -323, -337, -351, -365, -379, -393?\n\"Answer: -14*x - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 102 = -112. Let h(y) = 6*y - 12. Give h(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 9:38 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 55*h**7\/42 + 13*h**3\/6 - 2*h**2 - 3*h - 14. Find the second derivative of j(y) wrt y.\nAnswer: 1100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 12. Let l be 0 + (-26)\/2 - -22. Give j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.058, 2, 0.1, -2.7, 1 in descending order.\nAnswer: 2, 1, 0.1, -0.058, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y - 1287. Determine z(108).\nAnswer: -2259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 175. Let s be (51\/9 + -2)*3. Calculate the greatest common divisor of u and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13148813 is divided by 342?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1313 + 1230?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8bcb (base 14) in base 15?\nAnswer: 72e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/360 + 7*g**5\/60 - 5*g**4\/3 + 50*g**3\/9 + 91*g**2. Factor o(c).\nAnswer: -(c - 10)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/(-21))\/((2\/204756)\/((-17)\/68)).\nAnswer: 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -494, -726, -960, -1196, -1434?\nAnswer: -1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + -5 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28234*d - 14659*d - 14017*d)*(2*d**2 + 3*d**2 - 4*d**2).\nAnswer: -442*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901.24276 rounded to the nearest 10?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 368260234 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 39*j**2 - 54*j - 271. What is the hundreds digit of s(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/(26\/507). Solve -3*h - l + 16 = 0, -4*l - m = 5*h - 49 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(231\/(-14)))\/(1*-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*a + 73*a - 2*a**3 + 8*a**4 + 65*a + 2 in the form q + u*a**3 + d*a + s*a**4 + n*a**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 13*n + 2*x = 0, -10 = -5*n - 5*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -210571218 divided by 66?\nAnswer: -3190473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.39 + -0.71. Let z = -3 - a. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -78\/31 (c) 2\/7 (d) -2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 16*q + 30. Suppose 1 = n - 7. Calculate the lowest common multiple of n and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29922 + 326443 = -3107*v - 112792 for v.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:02 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -433\/4 - -108. What is the closest to -3 in -1\/5, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6*w - 4. Let x be p(6). Let t = -644 + 328. Let u = t + 315.7. Which is the fourth smallest value? (a) u (b) 3 (c) 0 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 49 + -34 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12292 divided by 1756?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -10*w - 210. Let f = 51 + w. Let r(n) = n**2 - 2*n - 4. Let p be r(4). Solve p*s + f = -5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6)*1*-5 + sqrt(6)) - (0 + (sqrt(720) + 1)**2).\nAnswer: -721 - 97*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**18\/q)\/q)\/q)**(-34)*((q*q*q**(2\/93)\/q)\/q)\/q*((q**(-3\/17)\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-812879\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-393)\/(-6) - 1\/2. Suppose -b + u + 44 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72865504.\nAnswer: 2, 2277047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -18, 3, -4 in descending order.\nAnswer: 3, 1, 0, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:18 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -11*t - 144. What is the least common multiple of t and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0 + 0)*(2*w**2 - 6*w**2 + 3*w**2) - 17*w**5 - 22*w**4 + 22*w**4.\nAnswer: -19*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (2 + 4 - 33 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -23. Let p(a) be the second derivative of 0*a**4 + c - 2*a + 1\/20*a**5 - a**2 + 0*a**3. Differentiate p(v) with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556 divided by 1.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let x be a(-20). Suppose 19*c = 65*c - 1058. Solve 19*y - c*y = x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3019 at most -3017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2 - 11*f**2 - 3*f**2 + 6 - 17 wrt f?\nAnswer: -26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 376376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 187*c**2 + 1. Let s(t) = -t**2 + 9*t - 9. Let x be s(8). Let r be d(x). Is (r\/(-12))\/((-1)\/21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 809.8587 centimeters?\nAnswer: 8098587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 73.5 - 63\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/22 and -15\/788?\nAnswer: 8668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 8, -3 in ascending order.\nAnswer: -3, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 25*t**3 - 3*t**2 - 37*t - 36. What is y(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:06 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-19)*f)*f\/(f**4*f)*f\/(f\/(f**27*f))*f**(2\/5) assuming f is positive.\nAnswer: f**(217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2835, 10861, 24231, 42939, 66979, 96345, 131031, 171031?\nAnswer: 216339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -562211*r**3*v - 7*r**2*v - 139*r*v + 60157*v wrt r?\nAnswer: -3373266*r*v - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -40. Let c(g) = 2*g**2 - 8*g - 6. What is the tens digit of c(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 6*u + 104. Let i be (-12)\/28 - 3*(-2)\/14. List the prime factors of f(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*t - 5*t. Let l(d) = -27*d + 9. Let w(b) = b. Let a(v) = -l(v) - 15*w(v). Let k be a(t). Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/332640 and -89\/36960.\nAnswer: 332640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 27*b**3 + 22*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (179 - 3234\/18)\/((-10)\/(-36) - 0)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1591 - 153. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1822 + -1139. What is the remainder when x is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 10 = 3*f, f - 1 = k + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 1.24.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 8 = -b. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59147*s + 232 + 62*s**2 - 11*s**3 - 62*s**2 - 59147*s in the form d*s**2 + o + h*s**3 + t*s and give o.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2 + 84345*w - 84346 = 0.\nAnswer: -84346, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 - 1 = 0. Suppose -6*c = -p*c + 3*i - 128, -2*c - 3*i + 64 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*o*x**2*y - o + 42*x**2 wrt y?\nAnswer: 105*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74412 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(1*5\/(-15))\/((-2)\/(-6))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 22*y - 17. Let q be o(-23). Suppose q = 3*l - 5*l, -3*u + 57 = -3*l. Solve 0 = -4*b - u, -5*b = 2*r - 10*b - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 - 88 = 158*l - 150*l + 21 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78009\/145 - 538. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.72932 millilitres in litres?\nAnswer: 0.04972932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1140)\/(-954))\/19*(-18)\/(-4). Put -0.3, -4, j in ascending order.\nAnswer: -4, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, z: 2, u: 6, d: 1}. Give prob of sequence llzl.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000693961 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 4*y + 1. Suppose 14*v - 5*v = -36. Give t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/11 - 3420*v\/11 - 6836\/11.\nAnswer: -(v + 2)*(v + 3418)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 163300000 rounded to the nearest 1000000?\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102954?\nAnswer: 2, 3, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 761*u + 103522. What is z(-136)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*f - 69 = 0, 2*h - 42 = f + 3*f. Suppose -3 + 7 = 4*z. Let n = h - z. What is n rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4*q + 50. Determine i(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 13039860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10*6*10\/(-6). Suppose h*s - 20 = -5*d, 4*d - s + 3 - 6 = 0. Is 34 a factor of 523\/3 - d\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 123*o**5\/4 - 7*o**3\/6 + 2*o**2 - 121*o. Differentiate p(l) wrt l.\nAnswer: 3690*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74\/(-19) + 60\/(-570) - -31. Calculate the highest common divisor of o and 1647.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 139\/495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1)\/(-12) + (-16422)\/(-36). Let p = t + -291. Let w = -101 + p. Calculate the greatest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - (725\/20)\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 9. Let q(o) = 4*o + 18. Let v(x) = 11*h(x) + 6*q(x). Let i be v(-15). Let n = i + 20. Which is the nearest to n? (a) 0.2 (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (15 + (-5 - 12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1207286 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (144\/(-15))\/(12\/(-40)). Let v be (-2)\/(-8) - (-56)\/n. Suppose -2*a = -4*a - v. What is the nearest to 5 in a, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1106, 992, 846, 662, 434, 156, -178?\n\"Answer: -w**3 - 10*w**2 - 77*w + 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -159, -230, -297, -360, -419, -474?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9093 - 3282 = -1125*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19*a**2 - 290*a - 1062. What is k(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 17*i**4\/24 - i**3\/2 + 158*i**2 - 100*i. Let o(w) be the first derivative of d(w). Let z(x) = -7*x**2. Calculate o(z(h)).\nAnswer: -119*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162617938?\nAnswer: 2, 7, 229, 50723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*a + 7*a - 28, 5*y = a - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 4:12 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 5, m: 2, q: 2, b: 4, p: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17590815 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s**2*t**2 - s**2*t - 15*s**2 - 3*s*t**3 - 2*s - 2*t**3 wrt t?\nAnswer: 12*s**2 - 18*s*t - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133888888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*g*h**5 + 7*g*h**4 + 2*g*h - 341*h**2 wrt h.\nAnswer: -1080*g*h**2 + 168*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103566 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 33*h**2 - 62*h + 119. What is v(31)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*y**3 + 3*y + 2 - 44*y**3 - 5*y in the form c*y + p + h*y**2 + v*y**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8416647.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -954 - 1028. Round i to the nearest 10.\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.075789 hours to minutes.\nAnswer: 184.54734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9287, 9282, 9273, 9260?\n\"Answer: -2*v**2 + v + 9288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3546440 and 3546440.\nAnswer: 3546440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -j + 129, x + 5*j - 14 = 4. Let a = x - 30. Factor -31 + w**2 - 33 + 64 + a*w.\nAnswer: w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 2*f - 27*f**3 + 3*f - f**2 to the form y + q*f**2 + u*f + h*f**3 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**3 + 8*m**2 + 6*m + 4. Let j(x) = -x**3 + x**2 + x + 1. Suppose 6*c - 15 = c. Suppose c*a - 2 = a. Let i = -7 - -1. Calculate a*s(g) + i*j(g).\nAnswer: -g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14966*i - 44886*i + 14959*i + 14966*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:33 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a. Let f(w) be the second derivative of -w**4\/6 + 5*w. Give f(z(q)).\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - (-9)\/2. Let w = -6 + 10. Suppose 0 = 4*s - w*h - 4, -2*s = -s - 5*h - 9. Put a, s, 2 in increasing order.\nAnswer: s, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 21. Let j be (-2 - 77\/(-42)) + 62\/12. Let d(l) = 2*l + 1. Calculate the lowest common multiple of i and d(j).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 4*y - 3 + 5*y. Suppose -17 - 13 = 5*w. What is the units digit of z(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (399\/14)\/(9\/(-6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-1)\/(-5))\/(336\/(-280))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.021.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 1 - 1)*((-v + 0*v - v)*(-3 + 0 + 1) + 0*v + v - 3*v).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/(-3))\/(32\/12 + -3). Suppose -62*k + 36660 = 14898. Calculate the highest common factor of j and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 26\/15*m**6 + 0*m**4 - 20*m**2 + 0*m**3 + 0*m**5 - 37 + m. What is the first derivative of i(h) wrt h?\nAnswer: 208*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**3\/3 + b**2 - b - 4. Give h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {s: 1, p: 4, a: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 - 1958*v**3\/3.\nAnswer: v**3*(v - 1958)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*v**4 + 38181*v**2 + 1840018 wrt v?\nAnswer: -152*v**3 + 76362*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55947966 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 1127445.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-85) + (-4)\/(-10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/3)\/4 + 2\/(-2 + 1)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -601621\/444 - -1355. What is the smallest value in j, 1\/4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6 times -117?\nAnswer: -1708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (308\/10)\/((-3)\/55). Let m = 16\/3 - 3335\/6. Let i = q - m. Find the common denominator of 5\/18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 774600106 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5128226 and 8473?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -26*m**2 - 365*m - 53. Determine p(-12).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:54 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v + 4*v - 5*v in the form j*v + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*144\/(-702)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1808196 divided by 6747\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.67807 - -63612.\nAnswer: 63609.32193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 35250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1056 + -42. What are the prime factors of h*(-2)\/(-20)*(17 - 12)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-27))\/((a\/(a\/a**(2\/5)*a)*a)\/a*a)*a*a**(13\/2)*a**(-1))**(-20) assuming a is positive.\nAnswer: a**398","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -125, -267, -375, -443, -465, -435?\n\"Answer: i**3 + 11*i**2 - 182*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkox when four letters picked without replacement from knrvkoxovkkx?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 68. Which is the smallest value? (a) -4 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l - 7. Let y(p) = p - 1. Let s(t) = 3*d(t) - 21*y(t). Let r = 1 - 1. Let z(x) = r + x + 0. Give s(z(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.99 - 10. Let u = 0.18 + p. Let l = u + 1.83. Which is the closest to 0.3? (a) 4\/3 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 2256.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 2, c: 1}. Give prob of sequence lclt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 30 = -3*g. Let s(q) = -q**3 - 3*q**2 - 2*q. Determine s(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/16, 1, -5\/3, -4, 7\/4, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 9998?\nAnswer: 3\/9998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/5)*c)\/(c*c**(7\/5)*c) assuming c is positive.\nAnswer: c**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**7\/840 + h**6\/90 + h**5\/120 - 3*h**3\/2 - 2*h**2. Let o(g) be the first derivative of i(g). What is o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 1250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1405045*d**3*j**4 + 1255*d**3*j - 566*d*j + j**5 wrt j.\nAnswer: 16860540*d**3*j**2 + 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecccccccceceecccece. Give prob of picking 2 e and 2 c.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 1. Let j(a) = 6 - 5 + 0 + 0 - 4*a. What is j(w) - 3*x(w)?\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 735 or 713?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:50 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*u - 170*u - 491*u to the form k*u + x and give k.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3033610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 - (-8)\/4. Let g = -3 + 1. Let b be 1\/g + (-9)\/(-6). What is the highest common factor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1223123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(10)\/sqrt(2)*1)**2 + 5 - (sqrt(3630)*-3 + sqrt(3630))\/((sqrt(12) - (sqrt(12)*-1 - sqrt(12)))\/sqrt(2)).\nAnswer: 22*sqrt(5)\/3 + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.87 + 0.87. Let t = 0.7 + 0.3. What is the smallest value in -0.2, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*k - 74*k + 18. Let u be (3 - 15\/10)*k. Solve -4*h + 32 = 3*a - 8*a, -5*h + 3*a = -u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 55*f + 60.\nAnswer: -5*(f - 12)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/(-7) + 7)\/((-12)\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2911*g - 76180. Calculate v(-26).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-4)\/8*40)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.0595101 + 400.9404816. Let h = l + -428. Round h to 7 dps.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3 - 28*p**2 - 98*p - 72 = 0.\nAnswer: -9, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-7 - (9 - 9))) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*w - 5145 + 5397 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*n + 2*n - 140, -2*n - u = 75. Let p be (-2)\/(-3) + n\/(-12). Solve -5*h + 2*h - 4*i = -2, -p*i = -2*h - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1920 and 137\/880.\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-10 - -2 - (20 - (-19 + 36)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42499129*g**3 - 10192417.\nAnswer: -127497387*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let k be (-6564)\/(-2884) + -2 + 0. Let d = -1\/103 - k. Which is the second biggest value? (a) 0.3 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 24 = 3*z, 20*z = 15*z + 4*f - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -2386100.\nAnswer: 1\/238610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1.1 (b) -0.2 (c) -42 (d) -3700\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.3, -6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20064862 divided by 1\nAnswer: 20064862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4))\/((-210)\/(-28)). Put 2, -5, -1, w in ascending order.\nAnswer: -5, -1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 15*q**2 + 8. Suppose -35 = -4*d - 5*t, 0*d + 4*t + 50 = 2*d. List the prime factors of s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from ghkkmg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + 1 + -2*sqrt(72)*6 + (2*1*sqrt(72) - (0 + sqrt(72) + -1 + sqrt(72))) + -5)**2.\nAnswer: 2160*sqrt(2) + 51885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -396*g - 18. Let v(d) = -10*d + 1. Determine j(v(o)).\nAnswer: 3960*o - 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -7*y - 36. Suppose 4*t = 4*g + 60, -4*g = -2*t + y + 22. What is the second derivative of -14*v**4 - 2*v**3 - t*v**4 + 21*v + 2*v**3 wrt v?\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 618\/5. Which is the nearest to -1\/2? (a) -0.1 (b) -7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 3*g = 13*r - 372, r - g = 120. What is the remainder when r is divided by 55?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 19 = -3. Let p = v - 3. Suppose -p*b + 2*b + 24 = 0. Calculate the smallest common multiple of b and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((((s**(-5\/2)\/s)\/s)\/s)\/s))\/((s*s**(-5))\/s))\/(s**(-6\/7)*s*(s\/(s**(-12\/5)*s))\/s*s) assuming s is positive.\nAnswer: s**(697\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**5 - 3*r**2 + (r**4 - 4*r**4 + 2*r**4)*(-2*r + 0*r + 0*r) + 3*r - 3*r + r**5 - 1095*r - 12*r**5 + 1095*r)*(-14 + 1 - 1).\nAnswer: 112*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**4 - 7*f**3 - 2*f**2 - 7. Let l(s) = -12*s**4 + 6*s**3 + 2*s**2 + 6. Let d(j) = 7*l(j) + 6*q(j). Find the third derivative of d(n) wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcjoojotckkoks. What is prob of picking 1 c, 1 j, and 1 o?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392 + -374. Suppose 26*u - 44984 = z*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(-3\/8))))\/r**2)**(-46)*r*r\/(r*r\/(r\/r**(-2\/15)))*r*r**2*(r**0\/r*r)**18 assuming r is positive.\nAnswer: r**(4043\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a + 80*a = 4*b + 70830, -5*b - 141666 = -4*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 41*f**2\/2 - 204*f - 7235. Calculate d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/54, 1, 3, 5, -3, 1\/4 in descending order.\nAnswer: 5, 3, 1, 1\/4, -7\/54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6635 - 2?\nAnswer: 6633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 2211?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17479 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*d = -2*d + 6, 2*y + d + 14 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420604969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*a - 221*a - 5*j - 8, 3*j + 14 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42036184331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765\/1554 + 18*(-20)\/1008.\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 16*x = -3*l + 12, -4 = -3*x - 5*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:32 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b. Let g(n) = 3*n**2 + 5*n - 6. Let j(p) = -2*a(p) + g(p). Let r(s) be the first derivative of j(s). Differentiate r(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 0*x = 11150. Find the third derivative of -3*m**2 + 8*m**4 + x*m - 1115*m wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -92. Calculate the remainder when c is divided by (-92)\/(-10) + (-2)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 78, 79, 80, 81?\n\"Answer: m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 = 2*a, a = -3*a - 4*v + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -52 - (-452 - -471)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -72*r + 250*r - 67*r - 90*r. Let v(c) = -2*c. Give l(v(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -340643.35 to the nearest one hundred.\nAnswer: -340600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 9. Suppose 3*j - 20 = -l. Let x = 14 + -12. Calculate the remainder when j is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3\/2 + 113070*n**2 + 2034895*n\/2 + 904380 = 0. Calculate n.\nAnswer: -45219, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 14. Let b = 2 - x. Factor b*h**2 - 9*h + 25 + 13*h - 14*h - 4*h**2.\nAnswer: (h - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - 6*b + 1368. Let d(z) = z**2 - z + 228. Let m(a) = -6*d(a) + l(a). Let g(r) be the first derivative of -73*r**3\/3 - 1. Determine g(m(v)).\nAnswer: -292*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817172499?\nAnswer: 2817172499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 1:54 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 733 in descending order.\nAnswer: 733, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 12:13 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven fifths of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 6274*o - 6266*o - 10*r, 5*r = -3*o - 108 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g - 2. Let r(z) = 23*z - 5. Determine 7*a(v) - 3*r(v).\nAnswer: 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1381074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240\/7 - 34. Let x = 32 + -54. Is y greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.7 + -14. Let m = l - 3.7. What is the second biggest value in -0.2, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -14 - -2)*(-4)\/((-96)\/(-9))*32?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7404337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135892 * -1.\nAnswer: -135892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -119*k**4 - 391*k**3\/3 + 351. Find the third derivative of c(l) wrt l.\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 2*q + 0*q - 3 + 0. Let p(t) = -t - 5. Let x be 45\/(-10) + ((-27)\/6)\/(-3). Let d(r) = x*p(r) + 5*y(r). Let k(u) = -10*u. Determine k(d(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 412 (base 9) to base 8\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -127684293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*-1 + (sqrt(84)*-2 + sqrt(84) - sqrt(84))\/sqrt(12))*-3)**2 - (sqrt(315)\/(sqrt(5)*-2) - (sqrt(630)*-2 - sqrt(630))\/sqrt(10)))*-5.\nAnswer: -20160 + 75*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n*n*n**(-4))**(2\/107) assuming n is positive.\nAnswer: n**(-16\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018576 divided by 8?\nAnswer: -127322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 34055?\nAnswer: 34050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 2) + 0 + 2. Let y be 6\/(p + (-153)\/(-48)). Let h = y - 15. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -10 - 14) + (-13 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 9, -1, -7 in increasing order.\nAnswer: -7, -2, -1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27357 - 12254. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 3*v - 4*a, 4 = -2*v - a. Let i be v + 44\/24 + 7\/6. Solve i = 3*q + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 - -244. Suppose -r*c = -114*c + 75. Calculate the highest common factor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 5, r: 3}. What is prob of picking 2 t and 2 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 1, m: 7, b: 1}. Give prob of picking 2 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 72 - 18. What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-78))\/(10\/60)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o + 10. Let k(b) = -5*b**2 + 913*b - 918. Let v(x) = k(x) + r(x). Factor v(p).\nAnswer: -4*(p - 227)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/16)*a)\/a*a*a\/a**23*(a**(-7\/5)*a*a)**(-40) assuming a is positive.\nAnswer: a**(-721\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 4590.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5863 + -3197. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17920517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71803 times 0.04?\nAnswer: 2872.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 67798.\nAnswer: -9\/67798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 22 - 22 = -1087*m + 328*m, -5*m + 78*x = 73*x + 39 + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 1 - (25 - 2). Let p(m) = -14*m**2 - 2*m + 1. Let w be p(1). Let d = w - s. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152200 (base 8) in base 13?\nAnswer: 38a483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {l: 3, j: 4, r: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 4*q + q**2 + 2 + q**3 - 3. Let j(z) = z**2. Let m be j(-2). Is v(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/3 + -3 - 3. Let f(h) = -3*h - 7. Let r be f(c). Let b = r + -6. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8177*k**4*x**2 - 8*k**4*x + 2*k**2*x**2 + 29*k**2*x - 1243*x wrt k?\nAnswer: -196248*k*x**2 - 192*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n. Suppose -3*p + 7*p - 20 = n. What is the third derivative of 2*m**p - 4*m**5 - m**2 + m**5 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 352\/(-924)*6\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 2*r - 5. Let y be j(-4). Suppose y*s - 16 = -s. Is s >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:27 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 69 = -25. What is the least common multiple of i and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6 - 0. Suppose k*f + 2*p - 8 = -0*f, -4*f = -4*p. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 47*x**5\/20 - 4*x**4\/3 + 1403*x**3\/2 - 964*x. Find the second derivative of q(v) wrt v.\nAnswer: 282*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 38411 = -1090*u - 9491 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Let d(k) = -6 + 0*k - 5*k + v*k**3 + 15*k. Let a(c) = c**3 + c - 1. What is 8*a(o) - d(o)?\nAnswer: 2*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 1}. What is prob of sequence qqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1114279, -2228565, -3342851, -4457137, -5571423?\n\"Answer: -1114286*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 - w**2 - 3*w - 3. Suppose -372 = -3*p + m - 362, 0 = 3*p + 2*m + 2. Let j(r) = 3*r**3 - r**2 - 2*r - 2. What is p*v(x) - 3*j(x)?\nAnswer: -x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 9. Calculate the remainder when d\/4*(2 + -12) is divided by (-3 - (-35)\/5) + 4 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191594269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -100*m - 1697. List the prime factors of n(-78).\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90605835?\nAnswer: 3, 5, 17, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f - 56372 = -51588 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 + 50*m**2 + 0 + 49*m**2 - 96*m**2 - 3*m. What is the remainder when d(4) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 3987906*l**3 + 1325270891631*l**2 - 7951733023572*l + 11927653372332.\nAnswer: 3*(l - 3)**2*(l + 664654)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, j: 1}. What is prob of sequence bj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7950909 is divided by 2550.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1476)\/(-84))\/(57\/(-152)*16\/(-14))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2244 and -23\/884.\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 + -184. Let a(j) = -j**2 - j + 1. Let z(b) = -7*b**2 + 22*b + 233. Let h(d) = y*a(d) - 3*z(d). Find r such that h(r) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-525)\/(-72))*3\/(873\/(-485)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -13889.\nAnswer: -13885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Let g(r) = 29*r + 205. Let u be g(-7). Solve -u*v = 2*v - 3*a - 10, 2*a = x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 14616558.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1474*p = 39910 - 247744 for p.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 21*y**2 + 67. Let g be m(20). Suppose -z = 5*j - 24, 5*j - 4*z + 0 = 4. Suppose j*c - 5*c + g = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:44 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14233 - -9782. Let k be 1975\/20*(-674)\/(-15). Let n = j + k. What is the common denominator of n and -7\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1220 - -2746. List the prime factors of u.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/7 + 315328*x**3\/7 + 12427707072*x**2\/7 - 99436792832*x\/7 + 198883676672\/7.\nAnswer: 2*(x - 4)**2*(x + 78836)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018334 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -22*d**2 + 5*d + 3. Calculate q(-2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 9*v**2 + 5*v + 4. Let c(r) = 3*r**3 + 26*r**2 - 16*r - 12. Let f(b) = 3*c(b) + 8*g(b). What is f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 5*w = 3*i + 9, -5*i + w = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6) + (-208)\/(-78))\/(15 + (-918)\/72)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let j be g(2). Let s be (18\/j)\/(6\/(-16)). Calculate the greatest common divisor of 96 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27919042 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(7\/6)*(u*u*u**(-4\/9)*u)\/((u*u**(3\/5)\/u)\/u))**25 assuming u is positive.\nAnswer: u**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.17 - 92.47. Let w = 0.4 - 0.3. What is the closest to 5 in 5, w, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17439*w**4 + 8568 wrt w?\nAnswer: -69756*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552000 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 + 54. List the prime factors of (1 + i)*3\/(-9).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2244*p**2 - 80*p**2 - 1 - 85*p**2 + 1 + 2402*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u + 72. Let s be ((-35)\/(-3))\/(4\/u). Let t be 20\/s + (-3)\/(-9). Is -1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -27, 6, -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 202, 196, 188?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smsmszmhsizszsmz. Give prob of sequence sz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*b - 5 - 313. Sort 5, 10, b, 2 in descending order.\nAnswer: 10, 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2\/17 (c) -2 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**3 + 112 + 32*m**2 - 31*m**2 - 166 to z*m**3 + x*m + i + w*m**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -671587, -671589, -671593, -671599, -671607?\n\"Answer: -m**2 + m - 671587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 83. Let k(i) be the first derivative of -14*i**3\/3 + 2*i + 648. Give o(k(c)).\nAnswer: 14*c**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - 2*t**4 - 3*t**4)*(4 - 4 - 11*t).\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 7. Let s = -17 + f. Calculate the remainder when 45 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57031 + 11461 = -98*g. Solve -g = -91*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 - 2. Let v = -17 + 16. Let l be i(v). Solve 2*q - l = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:12 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 230516091 divided by -27\nAnswer: -8537633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/5004494?\nAnswer: 5\/5004494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332034093.\nAnswer: 3, 631, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 7*r**2 + 6*r - 11. Let p be g(-8). Suppose 0 = 41*a - 36*a + p. Is (-1)\/(a\/778) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 667 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -479899\/730558 + 2\/64461. Find the common denominator of y and -157\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 44 = 14*c. Put -1, 4, c, 0 in descending order.\nAnswer: 4, 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101 + -10000000000111001111?\nAnswer: -10000000001010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of (-7176 - 2)*(4 - -1*(-5 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031228179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-5) + (-570)\/(-150). Solve s = -f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -325 (b) -5 (c) -213.5 (d) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 9*m**2 - 38*m + 129. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/12*(-18)\/(-45). Let v(g) be the second derivative of 0 + h*g**2 - 1\/2*g**3 - 5*g. Calculate v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*l - 10880 = 307*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 16 = -w, 4*w - 215 + 219 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 1 v when three letters picked without replacement from {n: 1, f: 1, c: 2, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f - 50. What is the remainder when p(7) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/(((f*(f*f**(-3))\/f)\/f)\/f))\/((f*f**(-1\/2))\/f*f**(-1)*f) assuming f is positive.\nAnswer: f**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - 166. Suppose 0 = 3*w - 5*r - 82, w - a*r + 62 = 4*w. Solve 0 = -5*c + w - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -21)*((-657)\/876 - (-22)\/8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j - 15. Let x be r(5). What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/3)*g**(-3)*g**(2\/27)*g*(g\/(g\/(g*g**(2\/23))))\/g assuming g is positive.\nAnswer: g**(-1349\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 33. Let o = 0 - 0. Sort -3, o, y.\nAnswer: -3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095935 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dc - 1ce?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:09 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, 1 a, and 1 z when four letters picked without replacement from {z: 2, a: 1, q: 1, k: 2, v: 1, h: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(2\/9))\/j)\/j*j**(-1\/3))\/((j*j**(-4\/5)\/j)\/j*j**(1\/2)) assuming j is positive.\nAnswer: j**(17\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/4 (b) -43 (c) -4.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 5*y**8\/112 - 11*y**7\/35 + 23*y**6\/40 - 3*y**5\/10 - 16*y**2. Find f, given that a(f) = 0.\nAnswer: 0, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -30829?\nAnswer: -30830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvttvhtttttvtttv. Give prob of sequence ht.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17582 and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2362?\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1067 and 388.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 20499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**2 - v - 120*v**2 + v.\nAnswer: -137*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7669, 6 in descending order.\nAnswer: 6, 1, -7669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 96 = 100. Let o(h) be the first derivative of r*h + 1\/3*h**3 - 19 + 2*h**2. What is o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = 50. Let d(g) = g**3 + 9*g**2 - 11*g - 15. Let j be d(h). Let m = 56\/11 + j. Which is the nearest to m? (a) -2\/11 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 7 = -5*o, -4*o + 565*g - 281*g = o + 282*g + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 10*l**4 - 11995*l**3 + 231000*l**2 + 2371698500*l + 1185790000 = 0.\nAnswer: -380, -1\/2, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6305305 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 3*b + 7. Let v(w) = -2*w**2 - w - 1. What is t(r) + 2*v(r)?\nAnswer: -r**2 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/9 (c) -3 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86468, -172918, -259364, -345806, -432244, -518678?\nAnswer: -605108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 273 - 572. Let v = u + -102. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -141*j**2 + 146*j - 9. Let y(q) = -35*q**2 + 32*q - 2. Let a(h) = 2*x(h) - 9*y(h). Let m(b) = -33*b**2 - 5*b. Give -5*a(z) - 4*m(z).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + ((-11124)\/96)\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:34 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*z. Suppose -5*l + 6 = -2*l. Let n(c) = 8*c**l - c**2 - 11*c**z. Let g(h) = 3*h**2. Determine n(g(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 1 + 24*n - 12*n - 9*n. Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-24))\/((-3)\/4). Suppose -5*c - 4*w + 1 = 0, c - w + 1 = 3*c. Factor g*v**4 - 3\/2*v**2 - c + 5\/2*v - 1\/2*v**3.\nAnswer: (v - 1)**3*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/8 - (-21)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 16. Let p = 13 - 11. Solve z = -n - p*n + 5*i - 17, -4*n - 4*i = -20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -143, -0.2, -3?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paaoaesposoossss. Give prob of sequence pe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4808.69 to the nearest 10.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + s**2 - 4*s + s**3 - 1 + 3*s**2. Let t be (-9 + 21\/7)\/2. Give k(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 411.1 - 414. Put -2\/5, j, -4 in ascending order.\nAnswer: -4, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*l + 180*l = 119*l - 4020 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1766*g + 66. Let o be s(-21). Is (-3)\/(-2)*(-4 + o\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-4) - -47*(-4)\/216 and -131\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4, l: 2, v: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1519, -6114, -13773, -24496?\nAnswer: -38283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72 + 6*x**2 - 202*x - 6*x**2 - 1073*x**5 + 74 wrt x?\nAnswer: -21460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.6141209 microseconds to weeks.\nAnswer: 0.00000000024572440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53361 + 79556. Round w to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*(-4)\/3. Let x = 6\/149 - 364\/1639. What is the third biggest value in -1, i, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 855 - 853. Suppose 5*n = -x - 3, x = 3*n + 2*n - 3. Let c be (i - n - 0) + 2*7. Calculate the greatest common factor of 128 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 + 3*j - 329. Let h(u) = u**3 - 4*u**2 + 3*u - 330. Let t(i) = -7*h(i) + 6*s(i). Does 35 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 + 306. Let n = -51.8 + u. Let w = -9 + 61\/7. Which is the closest to n? (a) w (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/((-441)\/39))\/((-15)\/(-45))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564072562 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 164093 divided by 164093\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*x + 322 + 115, -x - 5*h + 141 = 0. Calculate the greatest common factor of x and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 24, 22, 18, 12, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -35 + -111 - -65.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -481, -482, -483, -484, -485, -486?\n\"Answer: -o - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 570507*z**2 - z + 10*z + 10*z - 570509*z**2 - 28 as q*z + l*z**2 + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52244260 minus -1.7?\nAnswer: -52244258.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/631, -9, 2?\nAnswer: -10\/631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 - 13*t**2 + 18*t - 205. Let q be w(7). Solve 21*f + 656 - q = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -6 + 6 + -10 + (8 - 6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*l - 416, 214*l = 3*d + 216*l - 312. What is the remainder when 216 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 319 - 3851 - 2331)*(-4 - 1 + 3)*(2*n - 3*n + 2*n).\nAnswer: 13054*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.015 and 7.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9226053 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, r: 2, l: 2, n: 5}. What is prob of sequence lal?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4597, 9193, 13789, 18385?\n\"Answer: 4596*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.99 + 0.01. Let u = -2.7 - -5.7. Which is the smallest value? (a) m (b) -0.03 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 448939876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -5\/3, -0.02, -1, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.7 - -19. Let s = -47.70002938 + p. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 15. Let k = q - 8. Solve -4*g - k = -14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167792 - -2.358?\nAnswer: 167794.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 + 417. Let z be 69 - 5\/(4 - 9). Let l = -35 + z. What is the remainder when l is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631327241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c + 4*s, 4*c = -3*s - 53 + 89. What is the highest common factor of c and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h\/(h**(1\/6)*h)*(h*h\/((h**(1\/8)\/h)\/h))\/h**(-2))**(2\/65) assuming h is positive.\nAnswer: h**(-7\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -40. Suppose -11*g - 28 = -z*g. Is 3 a factor of g + (4 - 0) - -23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 696 = 22*y. Suppose 4*b - b - 24 = 0. What is the remainder when y is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o - 21 = -103*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-248)\/60 + 4)*(11 - 8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3569*b + 3526*b - 559 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194215*x - 837 = 194246*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 354b (base 13) to base 15\nAnswer: 234e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01946869464 rounded to four dps?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g = -19*g - 1296. Put -3, 1, g in decreasing order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 16) to base 6\nAnswer: -1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 555 - 3?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 10 - 9*d + 18 - 3*d - 3*d + 4*d + 0*d + 0*d + 2*d + (-2*d - 3 + 3)*(5 - 3 - 4) + 3 - 3 + 2*d - 2*d + 3*d - 3*d + 2*d + 2*d - 2*d + 6*d + 3*d - 2*d.\nAnswer: 4*d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21323001002031 - 11?\nAnswer: -21323001002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1952758.6, 2\/13?\nAnswer: -1952758.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 - 3*m**2)*(-3 + 0 + 1) - 3*m**2 + 2*m**2 + 3*m**2 + (-m - 2*m + m + (2 - 1 + 2)*(2*m + 0*m - m))*(-2*m + 5*m + 3 - 2*m).\nAnswer: 5*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:07 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.6, 418, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 6962?\nAnswer: 6962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14407, 14429, 14461, 14503?\n\"Answer: 5*u**2 + 7*u + 14395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 475 and 750?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13902 is divided by 662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/14 + 22\/77. Suppose r*c = 8 - 2. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 148, 147, 166, 205?\n\"Answer: 10*d**2 - 31*d + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21254345 (base 6) to base 11.\nAnswer: -39aaa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 2*f + f + (5 - 1 - 1)*(4*f + 2*f - 7*f) + (3 - 3 + 3*f)*(-88 + 93 + 77)*(-1 + 1 - 2) as x*f + s and give x.\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f - 3. Let s = -20 + 12. Let g = -7.8 - s. Which is the biggest value? (a) -1 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 721\/(-618)*30\/(-14). Suppose -7 + 3 = i. Let m(d) = -d. Let f be m(i). Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16372507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + u**4 + 2*u**4 + (3*u**2 - 3 + 3)*(0*u - u**2 + 0*u) + 2*u**4 - 2*u**2 + 2*u**2 - 4*u**4 - 2*u**4 + 3*u**4.\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 2*w**2 - 94*w - 75. What is b(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 3*p**3 - 2*p**3 + 256*p**2 - 11*p**3.\nAnswer: -18*p**3 + 256*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5980 = 5695. Suppose 5*l - 2*d + 7*d = s, 0 = -d - 2. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2072 + -2065. Put -57, l, -4, -4\/7 in ascending order.\nAnswer: -57, -4, -4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/36 + k**5\/6 + k**4\/4 - 2*k**3\/9 - 2*k**2\/3 + 55. Factor h(f).\nAnswer: f*(f - 1)*(f + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 5:50 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {o: 3, l: 6, f: 5, x: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = -55*h + 432198. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 11494*k + 11491*k - 102 = 0, -j + 19 = 2*k for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/28201464 and 57\/32118334?\nAnswer: 1156260024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1371*r**3 + 304227*r - 1023402436 wrt r?\nAnswer: 4113*r**2 + 304227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 4, -14, -4, -0.4, 0.4 in descending order.\nAnswer: 4, 0.4, -2\/17, -0.4, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*y + 5*n, -5*y - 1761*n + 1759*n = 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-481)\/(-13) - (2 - 5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*o + 10, 2*o - 3*o = 4*k + 20. Let t be (0 - 0) + o + 48000. What is t rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or -1\/410?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let q be 15*(-3)\/27*-3. Give m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + -5 + 1 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071 - 1?\nAnswer: -1.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1924033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2686 + -5339. Let p = g + 111. Let i = p + 10081\/4. What is the common denominator of 35\/17 and i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15192353*i**5 - i**3 - 16321481*i**2?\nAnswer: 911541180*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**2*h - 36992*c**2 + 50*c*h + 21*h wrt h?\nAnswer: -7*c**2 + 50*c + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*i - 4)*(3 - 2 - 3 + (1 + 0 - 2)*(4 + 0 - 6) - 2 - 9 + 2).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-2)*7\/(105\/(-24)). Sort s, -4, -5, 2 in decreasing order.\nAnswer: s, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:43 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opp when three letters picked without replacement from {o: 4, p: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 16 - (-5 + -2976)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 0*r**3 + 3457 + 16*r**2 - 3452 to the form s*r**3 + p*r + b*r**2 + o and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 6*p - 4. Let q be x(3). Let n = -47455 - -47425. Put 0, -4, n, q in ascending order.\nAnswer: n, -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*q - 78*f**3 - 77*f**2*q + 2*f**2 - f*q - 2111*q + 129 wrt f.\nAnswer: 12*f*q - 468*f - 154*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgo when three letters picked without replacement from {c: 3, z: 1, g: 1, o: 4, h: 4}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-200)\/5500).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9685 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.225 take away 0.2863989?\nAnswer: -0.5113989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3 - v + 0*v - 3 - 1. Let d be y(3). What is the units digit of 4\/d + (-194)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1779228 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2\/7, 2, 24, -5\/2, -2, 2\/5.\nAnswer: -5\/2, -2, 2\/7, 2\/5, 2, 24, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133374 and 2805739.\nAnswer: 2672365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + -139 - (11 - -29 - -11).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*p = -1 - 63, -2*p = -2*x + 46. Suppose 2*f - 335 = -4*z + 39, 0 = -4*z + 4*f + 344. What is the greatest common divisor of z and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256176?\nAnswer: 2, 78511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1519 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1072 * -0.018.\nAnswer: -19.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + y = 2*c + 10, -c = y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/2 - -15)*((-14 - -11) + (-45)\/(-18)).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*j + 449*j + 72*j + 15 - 15 + 5*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -1132840?\nAnswer: 11\/566420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*b = 32*b + 4457 - 8069 - 9774 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 5*q - 11*q**2 - 3 + 5 to the form c*q**2 + i + v*q and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 153059?\nAnswer: 2\/153059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5393, -10773, -16175, -21611, -27093, -32633?\nAnswer: -38243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2195 (b) -2 (c) -0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8885, -17769, -26653, -35537, -44421, -53305?\n\"Answer: -8884*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000959 to 5 dps.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n + 9. Is 20 a factor of q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.4 - -12.4. Which is smaller: 5\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (56 - 7) - ((15 - (3 + -3)) + -5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.93699 millilitres in litres?\nAnswer: 0.07293699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2687\/8043 - 2\/2681. Let h(m) be the first derivative of -q*m**3 + 0*m + m**2 + 11. Determine y, given that h(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6191 or -9951?\nAnswer: -6191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-20)\/150). Suppose -5*y + 1 = -4, 12 = t*q + 2*y. Solve 0 = -q*b + 2 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202457 is divided by 3965.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b3 - -26?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqww when four letters picked without replacement from {q: 13, w: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**2 + 152 - 134 + 10*d**2 - 6*d**2 + 322 as p*d**2 + l*d + r and give r.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000100579 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-228)\/(-14))\/1 + (-8)\/28. Suppose 0 = -4*i + m, 0 = -2*z - i - i + 44. Let g(b) = 38*b - 35. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/5)\/((-16)\/(-12)) - -3. Let t = 11\/10 + q. Which is the third smallest value? (a) -2\/9 (b) -1 (c) t (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72815?\nAnswer: 5, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857026299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-6 - (-24 - -11))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 7*u**2 + 7*u. Determine h(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.19 and 24.\nAnswer: 28.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -265, -532, -799?\n\"Answer: -267*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-6) - 6\/9. Suppose p*l - 13 - 19 = 0. Determine m so that 4\/5*m**l + 8\/5 - 12\/5*m**2 + 4\/5*m**3 - 4\/5*m = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87520.086 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*7 - (5 + -1). Suppose 0*o = 5*o - 3*b - 45, -5*o = 4*b - p. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 87760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t - 14. Let n(z) be the second derivative of 0*z**2 + 1\/3*z**3 + 0 - 107*z. Determine n(q(v)).\nAnswer: 22*v - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -9 + 5 + 7 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -32, -53?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 80 = -2 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 36. Which is bigger: u or 1\/92?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {k: 16, i: 2}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 42 = -2. Solve 4*m + 2*t - t + 14 = 0, -4*m = -s*t + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 24 = -w, -m + 2*w - 12 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4))\/7*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/68)\/(-1*((-35)\/50)\/7) - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Let x(d) = 4*d + 3. Let p(b) = 9*b + 7. Let z(a) = 6*p(a) - 14*x(a). Give h(z(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24645.0146 + 24710. Let c = r + -65. Round c to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*s = -3*t - 8, -t - 4*s + 21 = 0. Let g be (-3)\/6 + t + (-2)\/4. What is the common denominator of (-446)\/336 + g + 6\/21 and 55\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362 and 106066.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -569 divided by -4.\nAnswer: 569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-148)\/(-28) + 2\/(-7). Suppose -d*s = s - 18. Suppose j - 3*m + s = 0, 2*j - 2*m - 4 = -m. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 1724. Suppose -l = -2*w - w - g, 3*g = 4*w - 1158. Suppose 5*v - i = 341, -v = -5*v - 3*i + w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-1) + -21)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*p + 36 + 9, 39 = 3*p - 4*w. What is the second derivative of 2*z**5 + 18*z**2 + p*z - 18*z**2 wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167166\/103 + 1623. Let a = 302 + -301. Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*z + 4, f + 0*z - 2*z = -4. Find the second derivative of -g**4 + g + 4*g**4 + 2*g - f*g wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369515*c = -2*t - 369516*c - 3, -5*c + 21 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2 - -2 - -2. Let c be (z - -3) + (-1 - -2). Let q(t) = -t**3 - t**2 + 3*t + 6. Let u be q(-4). Calculate the highest common factor of u and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 26*v**3 + 3*v**2 - 4*v. Let u be i(1). Solve -3*t + 2*g = -u, 5*t = -2*g + 14 + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160196873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/9 - 365*i\/9 - 766 = 0.\nAnswer: -18, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 2*d**3)*(19*d - 3*d**2 - 8*d + 2*d).\nAnswer: 6*d**5 - 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(((-2)\/(-5))\/(88\/110)). What is the third derivative of -24*m - 6*m**5 + 2*m**5 + 0*m**5 + 2*m**f - 10*m**4 - m**5 wrt m?\nAnswer: -300*m**2 - 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 31. Solve -g = -9*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -137925, -275848, -413771, -551694, -689617?\n\"Answer: -137923*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/12 + 2*g. Let k(s) be the second derivative of -7*s**3\/6 - 57*s. Determine k(j(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 1954 = -3*k + 2*f, 4*k + 3*f - 2611 = 0. Let l(h) = -h**2 + 555*h + 51528. Calculate the least common multiple of l(-81) and k.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) + (-2772)\/(-16). Suppose -13820 = -112*d + 5332. Is x less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/13 - 22270*d**2\/13 - 223050*d\/13 + 1671750\/13 = 0. What is d?\nAnswer: -15, 5, 11145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15060 is divided by 7515.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*t = 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93*r*s**2 + 52*r*s + 10022*r + s**3 - s**2 wrt s?\nAnswer: 186*r*s + 52*r + 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-5)*-6*(-1)\/24.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 23*r**2 - 83*r + 55. Calculate w(18).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + k. Let r(t) = t**2. Let i(z) = z**3 + 3*z**2 - 12*z - 8. Let j be i(-5). Suppose 8*y = 4*y - 4. Give j*r(g) + y*p(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 43*y = -45*y, -24 = 6*s + 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -35. Suppose b - 4*b = -2*a - 33, 2*a + 43 = b. Let x = -17 - a. What is the greatest common factor of t and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 2, r: 5, k: 8}. What is prob of picking 2 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 10. Suppose -v*w - 33 + 3 = -y, 0 = 3*y - 5*w - 50. What is the common denominator of (3\/12)\/(y\/(-94)) and 119\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 times -0.2\nAnswer: 44.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 683 and -180840.\nAnswer: -180157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0421 minus -2.89071996?\nAnswer: 2.84861996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**2 + 4*x**2 + 4*x**2)*(13*x**2 - 21*x**2 - 19*x**2) - 4*x**4 + 3*x**4 - x**4 as s*x + i*x**2 + a + m*x**4 + j*x**3 and give m.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 12*l**2 - 268*l + 37. Let s be h(15). What is the highest common factor of s and 6767?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 1. Let m(q) = -45*q + 18. Calculate -5*m(r) - 90*w(r).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-3 - 0) + 119 + -127\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7450352 and 187408.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*c*m**2 - 66*m**2 wrt c?\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(68))**2 + sqrt(68) + sqrt(68) + (sqrt(68) + sqrt(68) + 1)**2 + -1 - (-1*sqrt(1700) + 1 - 6*(sqrt(1700) + 0))) + -4.\nAnswer: 333 + 82*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:57 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3207224\/597 or -5373?\nAnswer: -3207224\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/3)*s))**(-1\/4))**7\/((s\/(s\/((s*s**(-2\/9))\/s)))\/((s*s**(1\/4))\/s)*(s**1)**(-47)) assuming s is positive.\nAnswer: s**(1667\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 + 451. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*f - 42 - 2, -11*f - 75 = -22*f + 16*f + 3*o for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34427 and 6920?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from nxlxzzlllxznn.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -264*r + 6143. What is p(25)?\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:52 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(117\/(-9))\/(-1001).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27707, 27707, 27699, 27677, 27635?\n\"Answer: -f**3 + 2*f**2 + f + 27705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 + 128. Solve -3*i = l - 0*i + 19, -i = x*l + 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -833 divided by 69749\nAnswer: -833\/69749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Suppose u*d = -d + 45. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 + 11*i**4\/12 + 4*i**3\/3 + 23*i**2\/2 + 28*i. What is the tens digit of q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 3*j**2 - 2*j + 2. What is y(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6*18\/(-12). Solve -2*g + 5*h = -30, -2*g + n*h - h + 14 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 83. Suppose 2*t = -i*o + 3*t + 69, -o + 33 = -t. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1001, 992, 983, 974?\n\"Answer: -9*q + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 - 129*h**3 + 165*h**2 + 37017*h - 174960 = 0. Calculate h.\nAnswer: -16, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let n(g) be the third derivative of 1\/24*g**4 + 0 + 4*g**2 + 0*g**3 + 0*g. Give i(n(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5264 - 5259. Which is the biggest value? (a) -264\/13 (b) -0.7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2760702.57 to the nearest 1000.\nAnswer: 2761000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 854*n**3 + 1971.\nAnswer: 2562*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882114 a multiple of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hohcmocchooocommmh. What is prob of sequence hch?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/49 and 12\/5047?\nAnswer: 5047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (12 - (((-1800)\/(-84) - 10) + -18))?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 6*r**2 + r - 4. Let u be t(6). Suppose -3*f - 13 + 1 = 0. Let v be ((-6)\/f - 2)*-4. Solve 0 = -u*y - v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*o - 107*o = 24. Solve i**2 + 38*i**2 - 10*i**2 + 2*i**o + 686 + 13*i**2 + 294*i = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 26. Suppose -5 = -h + 32. Let r = h - a. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 754, -1, 2 in increasing order.\nAnswer: -3, -1, 2, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:10 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 + 3*b**5 - b**4 - 6*b**5 + 7*b wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 3 = 0. Let d = 1 + s. Solve -4*u - 2*f = -5*f - 16, 3*f + 8 = d*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(297)\/(6*sqrt(11)) + sqrt(189)\/sqrt(847).\nAnswer: 17*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/37)*j\/j**(-11)*(j**(-1\/10)*j)\/(j*j\/(j\/(j**(-6)\/j))) assuming j is positive.\nAnswer: j**(7013\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0, -8, -36 in decreasing order.\nAnswer: 5, 4, 0, -8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 47*o + 16. Calculate the least common multiple of q(-12) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-1)\/((-1)\/4). Suppose -2 = -w*l + 66. Suppose -5*j = -l + 2. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166 - l - 480 + 171 as n + b*l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d + 180 - 2772 = 220*d + 675*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20) - (-12)\/(-45)*-6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, -255, -972, -2389, -4752, -8307, -13300?\n\"Answer: -41*l**3 + 19*l**2 - 33*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 - 5*g**3\/3 - 5*g**2\/2 - 12*g. What are the prime factors of p(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/18*0 + 10\/(-45). What is the closest to 7 in u, -1, -0.4, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/52 and 23\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3277*f**3 - f**2 + 8*f - 8. What are the prime factors of g(1)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229940 plus -1.21573112?\nAnswer: -229941.21573112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.1. Let t = -216138.12 + 216138. Sort t, -1, 0.1, d in decreasing order.\nAnswer: 0.1, t, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 6153.\nAnswer: -24612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2413 + 3684. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9593?\nAnswer: 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.7 (c) -2\/9 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3) + -1 - (3 + sqrt(3)*1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -49, -72, -93, -112?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 + (6 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 20. Suppose 5384 = 2*j + 3*m + 5283, 2*j - 2*m = 56. Calculate the remainder when j is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 14 - 6. Calculate the smallest common multiple of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7150474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(30)\/sqrt(125))\/sqrt(2) + -3.\nAnswer: -1 + sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**3 + 2*d**2 + 9*d + 9. Let l(m) = 3*m**3 + m**2 + 4*m + 4. Determine -9*l(z) + 4*r(z).\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1, -20 in descending order.\nAnswer: -1, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2040\/120 - (-240)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6a3693 (base 13) to base 9\nAnswer: 4662254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + 5. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from {u: 1, y: 18}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s - 122. Let k be y(-23). Solve 9*t - k*t + 35 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48609 is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r + 396. What is f(37)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:29 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 563132\/139 < 4050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/11 - 36*c**2\/11 - 8*c\/11 + 144\/11 = 0.\nAnswer: -2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6*q = 464, 5*q - 54 = -22*u + 24*u - 443 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*481\/65 - 14. Let r be 2 + (-2)\/(4 + 2). Which is the fourth smallest value? (a) r (b) 5 (c) 0.5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -320782, -4, -5, -2 in increasing order.\nAnswer: -320782, -12, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96113250017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40348\/299 or -135?\nAnswer: -40348\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3403 divided by -3403?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2529 and 27.\nAnswer: 7587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3909 and -4.67.\nAnswer: 3904.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 15810 = 9*o. Let b = o + 2650. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1541*k**3 + 29*k**2 - 2*k. Let p(a) = -4623*a**3 - 86*a**2 + 5*a. Let x(f) = 11*m(f) + 4*p(f). Find the third derivative of x(u) wrt u.\nAnswer: -9246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 97534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-6\/5)*x*x)\/x**(-7)*(x\/(x*(((x*x**6)\/x)\/x)\/x*x)*x)\/(x**(-3\/7)*x))\/(x\/x**(-10)*x*x*x\/(x*x\/x**4))**(-7\/2) assuming x is positive.\nAnswer: x**(2108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*g**4*z**3 + 8*g**3*z**3 + 12*g*z**3 + 24*z**3 wrt g?\nAnswer: -1260*g**2*z**3 + 48*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwfgi. What is prob of sequence fgik?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 535, -5, -3\/5?\nAnswer: 535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-22 - -28)) + (0 - 10) + -13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 13 = -4*n. Let a = -7 - n. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3918*v = -3907*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-2))\/32*(-12)\/22.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -2\/27*h**3 - 110 + 4\/9*h**2 + 0*h. Factor z(o).\nAnswer: -2*o*(o - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8123412 rounded to two decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (302 - 283 - 1024)*(-6*h + h + 2*h)*(0 - 2 + 0 - 2 - 2 + 2 + (3 + 0 - 5)*(4 + 1 - 4)) as m + y*h and give y.\nAnswer: -18090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -60*((-12)\/15 - 0). Suppose -2*g + 23 = -33. Let c = t - g. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25262\/16 - 5\/(-40). Suppose -4*k + 776 = -3*k - 2*t, 0 = -2*k - 5*t + z. Suppose -x - 4418 = k. What is x rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.93 to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 2868*x - 2865.\nAnswer: -3*(x - 955)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*i + 5388 - 5580 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126232460.\nAnswer: 2, 5, 6311623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1 - 31*v**3 + 2*v**2 - 2*v**2. Let c(t) = 2*t + 3. Let f be c(-2). Is 15 a factor of u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3774 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u - 2. Calculate the remainder when u - (150\/(-3) - -2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -15*(-9789)\/(-2925)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v)**19\/(v*v**0)**(-1\/4) assuming v is positive.\nAnswer: v**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) -2 (b) 0.06 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146\/21 - 20\/3. Let p be ((-56)\/35)\/(2\/(-10)). Suppose 3*f + 13 = -5*n - 4, -4*f + n = -p. Which is the nearest to -0.3? (a) w (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -8, 1619 in ascending order.\nAnswer: -8, 3\/2, 1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -0.1, -0.01, 48, 21 in descending order.\nAnswer: 48, 21, 4, -0.01, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**2 - 115*z + 253. What is d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 3*j**2 - 3 - 2*j**3 + 26 in the form p + f*j**3 + m*j + c*j**2 and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 - m - 6. Let s be k(-5). Let y be (-3 + 3 + 11)\/s. Calculate the lowest common multiple of (-8)\/44 + (-24)\/y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzfndzfdfzzzddzd. Give prob of picking 2 f, 1 n, and 1 z.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168912 and 22254156.\nAnswer: 89016624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 2\/5, -0.4, 17 in decreasing order.\nAnswer: 17, 2, 2\/5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-9)*(6 + -9). Is 64\/a*6\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731\/7 at most 1389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 5\/4 (c) -3 (d) -1955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -1232 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) + (-49)\/(-261). Let u = 27865\/100804 + 7\/869. Let n = q + u. Which is smaller: -9 or n?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106801*o - 106801*o + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121222210202 (base 3) in base 11?\nAnswer: 1a96a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 - 48*o**2\/13 + 384*o\/13 - 1024\/13.\nAnswer: 2*(o - 8)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 8030 and 7441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/6, 4\/5, 178, 12, -0.1 in increasing order.\nAnswer: -0.2, -0.1, 1\/6, 4\/5, 12, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3771167279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -481 - -2364. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 72*j**2 - 64 - 21*j**2 + 63 - 65*j**2 as q*j**2 + o*j + x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -155 and -4?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c - 30. Let h be g(3). Let x be 108\/(-195) + 5 + (-189)\/39. Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1815)\/10 + (-3)\/2. Let n = -1093\/6 - u. Suppose -453*y = -448*y. Which is the closest to -0.1? (a) -0.016 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -32\/23, 32, 4\/67 in descending order.\nAnswer: 32, 1\/11, 4\/67, -32\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8130 divided by -64027\nAnswer: -8130\/64027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 16 = -2*z, -217*z = -2*k - 213*z + 32 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117 + 60 + 96)*(0*o + 5*o + o)*(0 + 5 + 2).\nAnswer: 1638*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -717, -1439, -2173, -2925, -3701, -4507, -5349?\n\"Answer: -o**3 - 715*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3552423 (base 6) to base 12.\nAnswer: 8b713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 953*w - 832*w. Solve -5*f + 10*f + 30*f = w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-72)\/160))\/(4\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69544 is divided by 21326?\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -18\/5*h**4 + 180*h**2 + 5289\/5*h**3 - 882\/5 - 5289\/5*h = 0.\nAnswer: -1, -1\/6, 1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 993 divide 1889447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 1042*j**3 + 2086*j**3 - 1047*j**3.\nAnswer: -3*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3\/3 - v**2\/2 - 3*v + 3. Let x be n(2). Let d = x - -9. Solve 5*y - d - 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -181830689?\nAnswer: -181830689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 234?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2014 + -1?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/9 in 27, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2371104508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119411 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 - 2*x**4 + 3*x**4)*(90*x - 226*x - 151*x) - 3*x**5 - 2*x**5 + 4*x**5.\nAnswer: -288*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 15*u + 36. Let l(o) = o**2 + 16*o + 36. Let g(m) = -4*a(m) + 3*l(m). Factor g(n).\nAnswer: -(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40261832 to the nearest 10000.\nAnswer: 40260000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 7*p - 13. Let x be z(9). Let v be (-18)\/(-4)*(-3 + x). Let c be v\/(-6)*(-4)\/3. Solve 0 = 3*a - c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 10*g - 63. Give y(0).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 0.3. Suppose 5*m = -s + 20, 2*m - 4*m = 2*s. Suppose m*c + 24 = 9. Sort y, c, 0.04 in decreasing order.\nAnswer: y, 0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, b: 4}. Give prob of picking 3 n and 1 b.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*f = 765*f + 5*s - 13, 5*s = -2*f + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2405*r**3 - 418 - 2403*r**3 - 2*r**4 + 328 + 7*r**2 as c*r**3 + i*r + w*r**4 + a*r**2 + s and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -615\nAnswer: 4\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30364536 + -344?\nAnswer: 30364162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 81\/15086?\nAnswer: 81\/15086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 593 + -296. Calculate the greatest common factor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4 - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-38)*(-70)\/(-77)*(-81)\/135?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2479831*x**4 + 416*x + 392?\nAnswer: 29757972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 3*t**2 - 12*t**2 + (-t - 3*t + 2*t)*(t + 3*t - 5*t) + t + t + 2*t - 6*t**2.\nAnswer: -20*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 434 - 35 = 0. Suppose m + 27 = 4*v. What is the greatest common divisor of v and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 236*a\/3 - 1130.\nAnswer: -2*(a + 15)*(a + 339)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2664085639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-1*5 + sqrt(75))\/(sqrt(12)\/sqrt(36) - sqrt(3)))\/(1*sqrt(5)*-5*-6*-6) + -1.\nAnswer: -1 - sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) 4 (c) 0 (d) -5 (e) 3\/5486\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127.0636 - -0.1364. Let l = h - 127. Which is the biggest value? (a) 0.3 (b) 5 (c) l (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Factor -5*d**4 + 3*d**3 + w*d**4 + 7*d**3 - 4*d**4.\nAnswer: -5*d**3*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-135)\/(-36) + (-915)\/244. Solve i = -4*q + 3*q - 7 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -29, -53, -97, -167, -269?\n\"Answer: -i**3 - i**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 2187?\nAnswer: 43740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 56*u = 188. Sort u, 0.5, -5, 0.01 in descending order.\nAnswer: 0.5, 0.01, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*f + 5*n, -25 = -0*n - 5*n. Suppose 0 = 4*z - f*z - 2. Let g = 3 - z. Solve 10 = g*l - 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -72274?\nAnswer: 72302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 55*s**3 + 95*s**2 + 45*s.\nAnswer: 5*s*(s + 1)**2*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2658*a**2 + 12*a - 9. Let d be m(6). Let l = d - 55262. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 52*b**2 + 64*b - 570. Determine j(53).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - 3.98. Let q = 874.1 - 874. Let b = 357 - 1781\/5. Sort b, 2, c, q.\nAnswer: c, q, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*p - 13*x - 3, 9*p + 9 - 30 = 3*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = -d, 2 = h + 4. Solve 3*m = 6*m + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -72 - 10*g + g + 10*g**4 - 4*g**2 + 14*g**4 + 5*g**2. Find the second derivative of c(a) wrt a.\nAnswer: 576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3115804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 + 12*c - 14. Calculate q(-7).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17702*g**2 + 8854*g**2 + 8849*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, d: 6}. What is prob of picking 4 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12729, 14666, 17895, 22416?\nAnswer: 28229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 161, 288, 465, 692, 969?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -449 = 2134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5760724249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/8*(-4)\/6. Let j be 2\/(u\/((-9)\/(-6))). Suppose -2*r + 5 = -j. What is the lowest common multiple of 78 and r?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 16*z - 21*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.1 + 35. Let j = -25 + u. Which is the biggest value? (a) j (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -132*f - 7488. Give l(-57).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.149 from -258.\nAnswer: -257.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -245650 to the nearest 1000.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256334.\nAnswer: 2, 37, 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**3\/6 - 9*o**2\/2 - 3*o. Let z be y(9). Solve z = 5*m + 8 - 33 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -5*g + 2*g + 60. Let q(c) = -c**2 - 2*c + 4. Let v be q(-3). Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/((-16)\/46))\/1)\/(1\/8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -236 - -235.843. Let a = h - -0.557. Let l = 7 - 5. Sort l, 0.1, a in descending order.\nAnswer: l, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1614.503 and 2.1.\nAnswer: 3390.4563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 178*f - 186. Let s = 75 - 69. List the prime factors of o(s).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 4, g: 1, y: 6}. What is prob of picking 2 o and 1 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1485 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 at least as big as -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*m = 101*m - 26 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 19. Let w = -29 + q. What is the units digit of 20\/1*w\/10 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.4, 1\/4, 2\/81, -3, 0?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108233672.\nAnswer: 2, 13529209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*n**3 - 48*n + 3*n**4 + 96*n**2 - 24*n**2 - 1 + 1.\nAnswer: 3*n*(n - 4)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -v - 2*v. Suppose 0 = 4*j + v*d - 649, 2*d = 3*j - 7*j + 650. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150078 - 62432553\/416. Find the common denominator of 15\/56 and t.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 16 - 2*f - 24 - 16 - 17.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i - 8. Let f be a(-1). Suppose -l - 10 = f*l. Is l != -10\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -42*y + 231. Give g(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.384 + -0.084. Let g = -0.4 - -0.3. Which is the third smallest value? (a) n (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 31*c + 99. Let p(i) = -29*i**3 + 4*i**2 + 18*i - 13. Is p(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 + 4*l + 21. Let r be p(7). What is the remainder when 0 + 4\/(-3)*-96 + r is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377*h + 140006 = 1483*h - 738*h - 22338 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/10 + z**4\/2 + 7*z**3\/6 - 2*z**2 + 11*z. Let s(n) = 5*n**3 - 13*n**2 - 15*n + 9. Determine 6*s(g) + 13*u(g).\nAnswer: 4*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -53 + 38 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295194 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/5)\/(-3))\/((-1786)\/235)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k - 4*k + (-3*k + 0*k + 4*k)*(-2*k + 3*k + k))*(2*k + k - 6*k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzvhvvjzvhjbjhvhvj. Give prob of picking 1 z and 2 j.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 5 (c) 40 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -288006, -4, 1, 2, -5, -3.\nAnswer: -288006, -5, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 18. Suppose -x*v - 3*b = -0*v - 87, 5*b = -5*v + 115. Calculate the greatest common factor of 144 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.7 plus -0.053516?\nAnswer: 57.646484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15 - 6. Suppose -2*b - 386 = h - 2396, o*h - 5975 = 5*b. Suppose f + h = -0*f. What is f rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 12. Let d(k) = -3*k**3 - 13*k**2 + 7*k. Suppose 9*i = 6*i - c + 14, 2*i - c - 11 = 0. Let m(v) = 2*v**3 + 9*v**2 - 5*v. Calculate i*d(x) + z*m(x).\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 7. Suppose 4 = -5*r - 21. What is v(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218477 is divided by 1747.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402 + 2013\/5. Let d = 90 + -632\/7. What is the smallest value in d, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 25 - 3 - 78*f to the form t*f + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a0 + -d0?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214 and 56.\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**3\/6 - 3*d**2\/4 + d - 13. Solve l(q) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -59*t**2 + 35*t**2 - 652*t + 26*t**2 + 53138 = 0. Calculate t.\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 11 = 2*r - 0, -r - 4*v - 10 = 0. Let g = r + 1. Suppose -6*p + 33 = -g*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)*1*2. Suppose -4*p + 6 = -l, 20 = 5*l + p + w*p. Suppose -l*t + 4 + 2 = -a, -5*t = a - 15. Solve 2*j = -5*g - 28, -4*j = j + t*g + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 9:21 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 a factor of 99300942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 9197*x**4 - 55184*x**3 + 82785*x**2 - 18*x = 0?\nAnswer: 0, 2\/9197, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4 + 0 + 2*j - 4. Let i(p) = -11*p**2. Give n(i(d)).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - (5 + -3 + -2)) - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 26*y - 3. Let o(d) = 51*d - 5. Give -5*m(h) + 3*o(h).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*h - 24, u - 3*h - 14 = -7*h. Let o = -3 - -3.5. Let p = -664\/3 + 221. What is the second smallest value in o, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*f - 56*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-102)\/(-36) + (-8)\/(-48). Put 25, f, -8 in increasing order.\nAnswer: -8, f, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = 2*l, a = 4*a + 3*l - 3. Let c be ((3 - -1) + 35)*1\/3. Suppose -c*s - 15 = -8*s. Put -1, s, a in ascending order.\nAnswer: s, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98695 and 1085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r + 72 - 684. Let m = 49 - r. Let z(w) be the third derivative of -w**6\/120 - w**5\/20 - w**4\/12 + w**3\/3 + w**2. Calculate z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.5731 + -354112.\nAnswer: -354097.4269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((240\/117)\/20)\/(8\/(-6)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(10\/(-40)*8)\/(-44).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/15216088 and 57\/8.\nAnswer: 15216088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2 - 6*y + 8. What is g(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 - 11.35. Let d = 8.3 + -1.3. Which is greater: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**10\/15120 + z**9\/2835 + z**8\/1440 + z**7\/1890 + z**4\/2 + 6*z. Let s(g) be the third derivative of a(g). Factor s(c).\nAnswer: 2*c**2*(c + 1)**2*(3*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.69 + 40.33. Let x = g - -0.98. Let t = x - 42.5. Sort 2, t, -0.8.\nAnswer: -0.8, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 719 = 2*v, 0 = -3*v - j - 1073. Let i = v + 507. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((30\/(-125))\/(-2)). Let i(g) = -g**3 - 25*g**2 - 2*g - 28. Let m be i(n). Solve 26*b - 8 = m*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to -12258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 19*j + 4. Suppose -8 = t - 0. Let r be o(t). Let n(y) = y**2 - 4*y - 1. Let b be n(6). What is the greatest common divisor of r and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -5*k**5\/12 - 5*k**4\/8 - 11*k**2. What is the second derivative of f(g) wrt g?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -84. Calculate the smallest common multiple of d\/(-1 - 2) - 3 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -80, 6, 0.2, -248, -2\/7, 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12309*d**2*v**3 - 1424322*d**2*v - 74*d*v**4 - 17*v**2 wrt v.\nAnswer: -73854*d**2 - 1776*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 + 24*r**2 + 40*r - 233. Determine x(-7).\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 11*b**4\/24 + b**2\/2 - 3*b. Let w(g) be the first derivative of u(g). List the prime factors of w(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 414*i - 410*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 15. Suppose 3*j + f = u*f, -4*f = -12. Is 5 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 25 = 7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64580 - 0.02\nAnswer: -64580.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69321 is divided by 250?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1006 by -1.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3 + 1)\/4. Let d(a) = a**2. Let w be d(-2). Suppose -w*n + 47 = 5*b, n + o*n + 13 = b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 674 - 337 - 64*b - 337 + 246*b. Let q(x) = 2*x. What is q(v(g))?\nAnswer: 364*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illtlliillliitilll. Give prob of sequence tl.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -379, -764, -1305, -2008?\nAnswer: -2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 33 = 3*k - 11, -5 = -2*w + 5*k. Let p = w + -5. Suppose -9 = -2*i - 3*a, -6 = -3*i + 4*a - 1. Solve p = -i*t - t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/48661 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 584147 + 5?\nAnswer: 584152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 26. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.353861 to 1 decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 39*o + 110. What is a(-42)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1001.18582 - -0.11418. Round c to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 1992*z - 1991*z + 10, 2*z = -12*k - 60 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/(-78)*(-8)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 + h - 6. Let x be a(0). Suppose -3 = -5*f + 12. What is the remainder when 2\/f - 8\/x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8599832 - -5?\nAnswer: 8599837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -661 - -646. Let g(p) = p**2 + 13*p - 13. What is g(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:09 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) 5 (c) -8726 (d) -194 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y + 6594 = 3*n, 0 = -5*n + 2*y + 10994. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1000*y**2 - 3. Let a(j) = -74009*j**2 + 221. Give 6*a(k) + 442*o(k).\nAnswer: -2054*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 12. Solve -c*n = 16, -5*w - n = 4*n + 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*j - 970 - 3887 = 1443 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -1746.1279.\nAnswer: -1754.1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -1)\/(2\/(-59)) is divided by (-6 + 114\/15)\/(-5*(-4)\/200)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 68*d**2 + 355*d + 55. Calculate n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -761, -763, -753, -725, -673, -591?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 9186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 48.9248047.\nAnswer: 47.9248047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -144, -147, -150, -153, -156, -159?\n\"Answer: -3*w - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1967270?\nAnswer: 1\/393454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10033011 (base 4) to base 16.\nAnswer: 43c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + -1 - (40 - 51 - (-7 - 3))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 458369268 from -15646.\nAnswer: -458384914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y. Let v be ((-140)\/10)\/(-2*1). Let k = y + v. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1209 - 98. Let t = l - 644. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n**2 + 7. Let c(o) be the second derivative of o**3\/3 - 72*o. What is c(q(d))?\nAnswer: -22*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*v + 495*v - 247*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 5*p + 2. Calculate a(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1 - (2 + 6)) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*n = -342*n + 490. Calculate the lowest common multiple of n and 1.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + (2 - (-9 + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = 82 - 250. Calculate the remainder when 1092 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355274*d**3 + 25256?\nAnswer: -1065822*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744238 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 1\/(-2)*2. Let b = -8 + 8. Suppose b*m + 8 = t*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 2*p**3 + 0*p**3)*(-759 + 759 + 79*p).\nAnswer: 158*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 10, i - 5*s = 22. Let q = i + 6. Suppose -q*r + 0*t = -5*t - 117, 4*r + t - 179 = 0. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -11. Solve -6*w + 14 = d - r*w, -5*d = -3*w + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = w + 2*h - 116, 2*h + 588 = 5*w. Suppose 3*u - w = -4*n + u, -5*u + 150 = 5*n. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 3*w**2 + w**2)*(-4 + 1 + 0) + 3*w + 13*w**2 - 8*w + 4*w as s*w + i + k*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 + 4044*f + 1591*f - 136 + 83 in the form a + g*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zefgffffefffzfzefffg. What is prob of picking 1 e and 2 g?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 21424850 to the nearest ten thousand.\nAnswer: 21420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 41 + 48 + 28)*(x - 5*x + 3*x).\nAnswer: -106*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6\/6 - q**5\/5 - 3*q**4\/2 + 14*q**3\/3 - 11*q**2\/2 + 3*q - 12. Find p such that y(p) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5563 (base 7) to base 8.\nAnswer: -3725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q + 17. Let z be n(-3). Solve m = -z*m + 198 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/36 and -83*(-2)\/336 + 72\/(-72)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 3*v + 0*v**2 - 10*v**2.\nAnswer: -10*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11475 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -409*n - 4. Let c(y) = -205*y - 2. Give 13*c(p) - 6*u(p).\nAnswer: -211*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*g - 265, 0 = y - 3*g + 112 - 31. Let b = -47 - y. What is the greatest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152683 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -24, -0.5, -2 in decreasing order.\nAnswer: 8, -0.5, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, y: 1, e: 2, m: 4, t: 2}. What is prob of picking 2 e and 2 t?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25364, -25366, -25370, -25376, -25384, -25394?\n\"Answer: -g**2 + g - 25364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 9) to base 2.\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*p + 497*p - 263*p - 319 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9590 and 27710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363927.\nAnswer: 3, 121309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/877, -2\/13, -1\/3, 3 in decreasing order.\nAnswer: 3, 1\/877, -2\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657701, -1315288, -1972765, -2630132, -3287389, -3944536, -4601573?\nAnswer: -5258500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 4*k**2 + 5*k + 5. Let a = 9 - 4. Suppose n - a*d = -5, -d + 4*d - 5 = n. Is c(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76, 311, 702, 1249, 1952, 2811?\n\"Answer: 78*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxd when four letters picked without replacement from xxdxxccxdc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 142*b + 1. Let y(v) = -47*v. Give -6*w(c) - 17*y(c).\nAnswer: -53*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l + 4. Let j be d(-4). What is the remainder when 37 is divided by j\/(-3*(-3)\/(-6)) + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13554 (base 9) to base 16\nAnswer: 23f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52.64424cm?\nAnswer: 0.5264424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23695182 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -2*g**2 - 1. Let b(f) = 2*f**2 + 37*f + 1. Let j be b(-19). Let d(q) = 7*q**2 - j*q**2 + 9*q**2. Give d(r(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 1. Suppose 18 = 5*x + 3. Suppose 0 = j + 5*y + 12, x*y + y = -2*j - 6. List the prime factors of q(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -784 + 2325*r - 119*r**3 - 1821*r - 60*r**2 + 121*r**3.\nAnswer: 2*(r - 14)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12980674?\nAnswer: 2, 7, 927191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.97 + 17. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 0, -4*s + 7*s = -5*n + 8. Let f = 11 - s. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aijrrjek. What is prob of sequence rke?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-3)\/(-6)*-2). Let d(w) = -w + 1. Let h be d(4). What is the units digit of (a + h)*(24 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u - 2*y, 3*u + 4*y = -2*u + 21. Let z = -56 - -66. What is the highest common divisor of z and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(15\/11))**(-41) assuming l is positive.\nAnswer: l**(-615\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2. Let l(c) = -c + 3. Let d(t) = -2*l(t) + 3*y(t). Let q(n) = 346*n. Calculate d(q(v)).\nAnswer: 692*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 42212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 6*j**2)*(-3 + 4 + 2).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d + 1. Let c(l) = 8*l + 1. Let w(p) = -4*b(p) - 5*c(p). What is w(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 4.7. Let p = 12 + o. Let y = 12 - p. Which is the third smallest value? (a) y (b) 1\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*m + 119, m - 6*m + 20 = 0. Suppose -o = 15*s - 18*s. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16 + 14)*(0 + 179)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38633901 and 350673?\nAnswer: 8553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= 5.738239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(121)\/(sqrt(11) - sqrt(44)))**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 7*a - 10. What is s(-9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21216*s**2 - s + 7858*s**2 - 13023*s**2.\nAnswer: -26381*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 4*a - a)*(38 - a - 7 + 4).\nAnswer: -3*a**2 + 105*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10031 - 11021332?\nAnswer: -11032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(1 + sqrt(17)) + sqrt(833) + sqrt(833)*3 + sqrt(833)).\nAnswer: 20 + 195*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*v + 19*v + v + 0*v in the form c + x*v and give x.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940314609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 1. Let s be h(1). Let m = 4 + s. What is the least common multiple of 20 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdad when four letters picked without replacement from dddddddaddj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-254)\/((-455930)\/1077) - ((-1374)\/(-15) + -1*1).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 221?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(-4)*5\/((-25)\/40). Suppose i + 42 = 4*n, 4*n + i - 12 = o. Suppose 18 - n = -4*c. Which is smaller: -6\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4084184 by 454.\nAnswer: 8996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1708, -3415, -5122, -6829, -8536, -10243?\nAnswer: -11950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*b**3 - 39 - 38 + 77.\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hzzzzhzzzhzhh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/12 + 7*b**3\/6 + 6*b. Let t be s(5). Let p(l) = l + 3. What is the tens digit of p(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - 5. Let o = i - -17. Solve 5*x = -0*x + 5*q, -5*q + 1 = -o*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2 + sqrt(136) + sqrt(136) - sqrt(136))*-6)\/((sqrt(96) + sqrt(96)*1 + sqrt(96) + sqrt(96))\/sqrt(12)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 2*j**2 + j. Let g be p(-1). Suppose -8 = -r - 5*x, -3*r - r - x + 13 = g. Differentiate -5*y**3 - 5*y**3 + 2*y**3 + 5*y**r - 3 wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/((t*t**5\/t*t)\/t*t))\/(t**(-1\/6)*t*(t\/t**(-5\/2))\/t*t) assuming t is positive.\nAnswer: t**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - -3 - 15). Let z = 10 + -14. Let t = q + z. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53082 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4853 = 5*m, -5*m + 3*m + a - 1942 = 0. Let v = m - -1321. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*x - 22 + 22)*(2*x - 23 - 80 - 52) - x**2 + 0*x**2 + 0*x**2 to a*x**2 + n*x + o and give n.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - t - 6 = 10, -6 = -2*d + 3*t. What is the remainder when 20 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**5 + 570*g**4 + 29058*g**2?\nAnswer: 240*g**2 + 13680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from ejoeoezeeoeeeeejefee?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let b(u) be the first derivative of u**3\/3 - u - 4. Let m(t) be the first derivative of b(t). Give l(m(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/15 (b) -3 (c) 14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and -11.409.\nAnswer: 467.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*b**2*m**2 + 40*b**2*m + 2233*b*m**2 + 8*b*m wrt b?\nAnswer: -292*m**2 + 80*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-41284)\/72)\/((-4)\/(-30)). Let z = -21514\/5 - c. What is the common denominator of -93\/20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 33 = -21. Let s = -83 + 85. Suppose 5*a - 3*b = 249 + 84, s*b = a - 61. Calculate the remainder when a is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302.2 + 241.2. Sort k, -1\/4, -41.\nAnswer: k, -41, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 9. Which is the fourth biggest value? (a) -5 (b) -0.4 (c) j (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + (8 - 12)) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -3, -2.5, 4, -0.08?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)\/(26\/39). Suppose f - 1286 = -k*f - 3*n, 3*f = 3*n + 975. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*w = -1726, 2*w = 3*x + 3*w - 1292. Suppose -4*o + 603 = -5*d + 37, 0 = -3*o + d + x. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m. Let c(a) = 12900660*a**2 - 11. Give c(i(k)).\nAnswer: 116105940*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 5}. Give prob of sequence llii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/364 and 3\/162*8*(-2 - 230\/260).\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*d**2 - 112*d**2 - 434*d**2 + 268*d - 270*d in the form l + p*d + b*d**2 and give b.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2 + 2 + (0*d - d - d + (7*d + 0*d - d)*(-5 - 2 + 3))*(-d**2 + 0*d**2 - d**2).\nAnswer: 54*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 21*c + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 103?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -19624 and -274723\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 209\/(-22))*((-6)\/3 + 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -15 (c) 2\/11 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1653 = 4*g - 3315 + 1645, 658 = -2*i + 220*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-6)\/(-3) + 169). Let a be k\/(-6) + 2\/(-3). Factor a*o - 5 - 30*o**2 - 3 - 2*o**4 + 12*o**3 + o**3.\nAnswer: -(o - 2)**3*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 7*z**2 - 5*z - 6. Give y(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 5, w: 2, a: 1, s: 3, c: 6}. What is prob of picking 1 a, 2 s, and 1 w?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u + 4*b, 0*b - 12 = -4*u - b. Solve -u*r + 0*r = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1351061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 15*u**4 + 760*u**3 - 3590*u**2 - 760*u + 3575 = 0.\nAnswer: -55, -1, 1, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 (base 8) in base 16?\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 1\/1590, 5, -70?\nAnswer: 1\/1590","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*h = -f - 750, -f - h = -250. Let l = f - -62. Suppose 0 = 2*d - 5*m - 110 - 31, -l = -5*d - m. What is the remainder when d is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178598 + -13161. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 times -0.4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**4 + 7*u**3 + 3*u**2 + 634 wrt u?\nAnswer: 4*u**3 + 21*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(5 - (2 + 2)). Suppose -5*v + 4*y + 152 = x, -v + 24 = -2*y - 2*y. Calculate the remainder when v is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 - 6) + 2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -544 + 1005. List the prime factors of y.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25528?\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168952 is divided by 880?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2)*(0 - 7 + 42) - 2 + 1 + 0)*(18 + 7*l**2 - 18 + (2 - 3 + 2)*(2 - l**2 - 2)).\nAnswer: 414*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -18. Suppose -9*l + b = -6*l. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/5455?\nAnswer: 8\/5455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/16060 and 61\/57816.\nAnswer: 289080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -3 - 9\/2*m**2 + 39*m + 1\/3*m**3. Let k(x) = -5*x + 26. What is 3*k(r) + 8*n(r)?\nAnswer: r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 2*s, 3*x - 4*s + 21 = -2*x. Let d be (2\/(-2))\/(1\/x). Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 + -222 + (-29 - 2) + -126\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) 4 (b) 0.5 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -39\/7 (b) -4\/5 (c) 0.4 (d) -3 (e) -20.2 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -238730 + 11?\nAnswer: -238718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281076 - j**2 - 281076.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 112 = 2*a. Let l = 23 - a. Let r(i) be the third derivative of -i**5\/60 - 7*i**4\/24 + i**3 + 105*i**2. Calculate r(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**5 + f**5 - 3*f**5 + 5*f**5 - 2*f**5 - 2*f**5 + (4*f - 4*f + f**3)*(3*f**2 + 3*f**2 - 4*f**2) + (-3*f**5 + 3*f**5 - f**5)*(-60 - 26 + 22).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w + 0 - 2*w**2 + 0*w**3 + 1\/24*w**4. Let r(q) = 4*q. Calculate b(r(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4401 + 4410. Let i(q) = q**3 + 5. Let k be i(0). Solve -k*n - b = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384973 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 p(z) = -z**3 + 11*z**2 - 9*z - 12. Let y(b) = -2*b**2 + 4 + 3*b + 3*b**2 + b**2 + b**2. Suppose 0 = 5*t + 16 - 6. Let f be y(t). Determine p(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45, -162, -361, -642, -1005, -1450, -1977?\n\"Answer: -41*x**2 + 6*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 102 = -4*d, 0 = -3*w + 4*d + 102 + 55. Let c = 60 + -27. Calculate the highest common factor of c and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/10)*m*((m*m**(-4\/5))\/m)\/m*m)\/((m*m*m*m**(1\/5))\/(((m*m*(m*m**(-6))\/m)\/m*m*m)\/m*m)) assuming m is positive.\nAnswer: m**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 156 - 751 = -18*n. What is the remainder when n is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 70.6\nAnswer: 635.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = 5*q + 152, -2*d = -4*q - 136. Suppose -5*c = u - 19, -2*u - 251 = 2*c - 257. Sort q, c, -5 in descending order.\nAnswer: c, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 1.4. Let j = 37 - -1. Let o = j + -38.04. Put 2, x, o in descending order.\nAnswer: 2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28658a2 (base 11) to base 12.\nAnswer: -1797407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*x + 16. Let u(c) be the second derivative of c**4\/8 + c**3\/6 - 11*c**2\/2 + 8*c. Let m(n) be the first derivative of u(n). Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 3. Let j = b - -10. Let i = 4 + j. Let u(w) = w**2 + 4*w - 1. Calculate u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*d - 223*d - 393 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let x(f) be the second derivative of -f**3\/2 + 5*f. Calculate d(x(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -7328979?\nAnswer: -1\/7328979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*x - 56088042*c**3 - c**2*x - 1146534*c*x + 7*x wrt c?\nAnswer: 6*x - 336528252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*i + 167*i = 12004. Suppose -i - 3539 = -20*j. Calculate the remainder when j is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3215, 12901, 29055, 51683, 80791?\nAnswer: 116385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -208104287.3 rounded to the nearest 1000000?\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19704*q - 19704*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239732 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*2*-6 + sqrt(78) + sqrt(78))*2)\/(-3*-1*sqrt(6) - sqrt(6) - (sqrt(60)*1)\/sqrt(10)).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*r + 71, -4*r + 7 = 2*i + 105. Let n = r - -41. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*f - 2*q = 166*f - 3672 + 3562, 2*f - 3*q + 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 32*l**2 - 102*l + 12. What is a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005743 to 5 dps.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 21.5. Let l = g - -10. Which is the third biggest value? (a) 0.3 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14899.18517 to 0 decimal places.\nAnswer: -14899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, s: 7}. What is prob of sequence tts?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 3*q**7\/35 - 13*q**5\/60 - 31*q**2. What is the third derivative of k(p) wrt p?\nAnswer: 432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86194480 and 5360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13553*z + 42674. Calculate t(3).\nAnswer: 2015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5 (c) -5430 (d) 814\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 58 + 49 + 15*s**2. Let b(f) = 3*f**2 - 2. Give -9*b(y) + 2*r(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16 + 1)\/(-142 + 145). What is the fourth biggest value in 20, 1\/6, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -557, -1, 0.1 in decreasing order.\nAnswer: 0.1, -1, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(54)\/sqrt(2)) + 2 + ((sqrt(9)\/sqrt(3))**2 - sqrt(3) - sqrt(3)).\nAnswer: -4*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 8398?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140667 take away 34.53?\nAnswer: -140701.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 69 - 68 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300*f**5 - 50*f**2 - f wrt f.\nAnswer: 18000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297417, 297570, 297723, 297876, 298029, 298182?\nAnswer: 298335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -37, -37, -35, -31, -25, -17?\n\"Answer: x**2 - 5*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i**3 - 4239 + 2*i**2 - i + 4239. Determine b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4 + 6 - 1)*(-4 + 3 - 1)*(81139 - 81139 - 738*d).\nAnswer: -2952*d**2 + 1476*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.51 + -81. Let t = 0.489916 + o. What is t rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142442300 (base 5) to base 9\nAnswer: 1362350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4)\/z)\/(z\/z**(-1\/4))*z*z*z**(3\/5)*z*z*(z**11\/z)\/z assuming z is positive.\nAnswer: z**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1247124 and 266376.\nAnswer: 27436728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7*18\/63)\/(4 - 2). Let c(s) = 3*s - 2. Let j(g) = -8. Let u(b) = 3. Let p(y) = 4*j(y) + 11*u(y). Give o*c(n) - 3*p(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/((-297)\/210) + -20 + 12. What is the closest to q in -2, -3, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2349566 or 2349541?\nAnswer: 2349541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.89 + -47.7. What is the third smallest value in t, -21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x\/(x*(x\/x**(-4\/5))\/x)))**(-45)\/(x**(2\/25)\/x**(-5\/4))**(-2\/77) assuming x is positive.\nAnswer: x**(153469\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 115*g**3 - 3*g**2 - 18*g - 15. Determine c(-1).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(152) + -5*(sqrt(152) - sqrt(152)*1) + sqrt(152))\/(sqrt(8) + sqrt(40)\/sqrt(180)).\nAnswer: 2 + 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 67*u - 1108. Let q be a(40). Let l(w) = 3*w + 77. Determine l(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6139*m + 30544. What is f(5)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 5. Let i be a(5). Solve 4*j + 2*s = -12, j + 4*j - s + 22 = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.5 - -48.8. Which is the third biggest value? (a) -5 (b) 155 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 3008288.92?\nAnswer: -3008288.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/11)\/(594\/(-36) - -17). Which is the third biggest value? (a) -1\/3 (b) -0.3 (c) t (d) -1\/4 (e) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219050 is divided by 169.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237*z**3 - 596*z**2?\nAnswer: 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 161. Let q(m) = -3*m + 1. Let f(y) = y - 1. What is t*q(j) + 4*f(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21438.11735 rounded to the nearest ten?\nAnswer: 21440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 721, 1087, 1607?\nAnswer: 2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*n - 1919 = 2494 - 813 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58.475? (a) -1\/2 (b) -3 (c) 4 (d) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6798 + -6795. Suppose -3*k + 4*k = 4*i - 13, i - 4*k + 8 = 0. Put 39, i, v in descending order.\nAnswer: 39, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 19 = 2*p - 5 - 8, -5*p - 3*r = 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**2 - 48*s + 67. Let o(l) = -12*l**2 + 72*l - 100. Let m(q) = 8*b(q) + 5*o(q). Factor m(p).\nAnswer: 4*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3484*(-40)\/16 - (-1 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 5*b**2 - 3*b - 12. Let a be j(-5). Suppose 2*k + 2 = a*i + 17, 2*i = 2*k - 16. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 + 18*k**2 + k**2 + 328 + 6*k**2 - 4*k**2.\nAnswer: 21*k**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 6*u + 6. Let r be (-2 - 1) + -2 + 1. Let v be o(r). Is 1*(v\/2)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105159 or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2, -181413, -9, 3\/5 in descending order.\nAnswer: 3\/5, -1\/3, -2, -9, -181413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43509575 and 3070?\nAnswer: 87019150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 12*z - 7. Suppose -3*x = -4*g - 8 + 30, -g - 32 = 3*x. What is the tens digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - d**3)*(0*d**2 + 0*d**2 + d**2) - 8*d**5 + 28*d + 16*d**5 - 6*d**5.\nAnswer: d**5 + 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282*k - 3 + 2 + 412*k to b + c*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - 4.89. Let v = o - -4.6. Sort -5, -0.07, v in ascending order.\nAnswer: -5, v, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218956165 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69671 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6398079 times 0.5?\nAnswer: 3199039.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 - 2*i - 1. Let x(t) = -6*t**3 - 12*t**2 - 8*t + 1. Determine 4*p(o) - x(o).\nAnswer: 2*o**3 + 8*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 0.324.\nAnswer: -0.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52\/3 of a day?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60659.593*4\nAnswer: 242638.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/17742659 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 1. Let g(k) = -5*k**3 + 5*k**2 + 4. Calculate g(c) + 4*p(c).\nAnswer: -c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {v: 1, a: 1, n: 1, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2\/15*r**2 - 2\/15 + 2\/15*r**3 - 2\/15*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3587233 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from ttftixywtxwxtw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 880450.\nAnswer: 880464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233579688?\nAnswer: 2, 3, 29, 67, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*s**3 + 279*s**3 + 152*s**3.\nAnswer: 311*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3 - 13*l + 13*l**3 - 24*l**3 + 12*l**2 + 12*l**3. Let i be u(-13). Let y = 13 - i. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 40\/(-6))\/((-2)\/12). Suppose 10*v - z - 2 = 0. Suppose -v*g = -3*p - 191 - 199, 4*p = 5*g - 649. Calculate the remainder when g is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(44 + 23970\/(-544))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 27288?\nAnswer: 191016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {b: 9, q: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 10\/3*v**3 - 2\/15*v**6 + v**4 - 1\/5*v**5 + 4*v**2 + 0 - 9*v. Factor w(a).\nAnswer: -4*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -23. Let s be x + (4 - 3)\/((-2)\/(-4)). Suppose -2*l + 3*t - 1433673 = -6433676, 0 = s*l + 2*t - 9999998. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 61 = -24*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-16) + 2)\/((-1)\/4). Suppose -3*o + 3*l + 2 = 4*l, t*o - l - 3 = 0. Solve -2*u + u - o = -3*a, -2*u = -3*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115285 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73 + 53857*l + l**2 - 19 - 53857*l to k + v*l + q*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1824 and 37\/1718151?\nAnswer: 54980832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:14 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164783416?\nAnswer: 2, 7, 2942561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120000110 (base 3) in base 8?\nAnswer: -25303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 152. Let r be 2 - (-1 + -1 + 2). Suppose v = r*q - 1. Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.04 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.849145 or -22?\nAnswer: -0.849145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 47070.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*v + x + 10 = -487*v, -5*v - 3*x = 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616921 to the power of 1\/2, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 2*n**3 - 19*n**2 + 7467*n - 7465*n + 0*n**2 to the form c*n + j + a*n**3 + g*n**2 + z*n**4 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-135)\/(-12))\/((-9)\/(-24)). Let w be ((-6)\/5)\/((-9)\/j). Suppose 10 = w*n + n. Solve 5*a = 3*o + 17, 0 = -o - 5*a + 19 + n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 415 - 105 = 0. Let m = n + -74. Let o = m + 10. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215225 + 215227. Factor -7\/2*u**3 - 23\/2*u**i + 11*u + 4.\nAnswer: -(u - 1)*(u + 4)*(7*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1947939, 1947957, 1948001, 1948083, 1948215?\n\"Answer: 2*k**3 + k**2 + k + 1947935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let i = 5.1 + n. Let z = i - 0.5. Which is the third biggest value? (a) z (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)*d**(-5)*(d**(-2\/9))**(4\/13))\/(d*d\/d**(-2)*d**(-2\/3))**(2\/45) assuming d is positive.\nAnswer: d**(-3779\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Suppose 5*i - 4*y = 105, 774*y - 777*y - 15 = 0. Which is the closest to 0.1? (a) i (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (13 + (-4 - (10 - 17)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833775.2 days to seconds.\nAnswer: 72038177280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109561, -219107, -328647, -438175, -547685, -657171, -766627, -876047?\nAnswer: -985425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 13*g**2 + 191*g - 63. Calculate the remainder when 816 is divided by b(-22).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7943 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neeqendeen. What is prob of sequence ennd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = 2*x, 7 = -5*x - 3. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 23*t**2 + 104.\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 24 = 33. Suppose 42 = -4*m + 3*z, -3*z + 3 = -d. Is (14\/4)\/(m\/(-126)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -9. Let u be w\/(-3) - (-170)\/6. Let g = u + -15. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*s + 23*s + 4*s to the form k + p*s and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1721250 and 5850?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452071 is divided by 446?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 13*n + 1. Let w = -9 - 1. Let k = -22 - w. What is the remainder when 37 is divided by y(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 36\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 699, 588, 337, -102, -777?\n\"Answer: -8*o**3 - 22*o**2 + 11*o + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (102 - 97) + (-2 - -1) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25154429 - -0.3924.\nAnswer: -25154428.6076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {i: 1, l: 1, y: 2, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) - 894\/15. Let s = 165 + -556. Find the common denominator of 15\/8 and s\/w + (-14)\/21.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q**2 - 2*q + 2 + 0 + 3 - 5.\nAnswer: 55*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 72 (b) -5 (c) 1\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 119 = 4*v, 77 = 3*i - 6*v + 5*v. Suppose -6120 = -24*t - i*t. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 - 6*x**2\/5 + 4*x\/5.\nAnswer: 2*x*(x - 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -35, 150*r + 16 = 4*w + 146*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 3*y**5\/5 + 123*y**4\/4 + 305*y**3 - 7107*y**2\/2 + 9522*y + 3001. Determine p, given that n(p) = 0.\nAnswer: -23, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.5 + 15. Let u = -0.5 + n. Let l(c) = c**2 - 5. Let y be l(0). Put u, y, 1\/8 in decreasing order.\nAnswer: u, 1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -76. Let b = 100 - p. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -41*d**3 - 2*d**2 + 1. Let b be n(-1). Suppose b = t + t. Let q = t - 1. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79097513 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.6 - -37. Let j = d - -4.6. Which is the closest to j? (a) -5 (b) -4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5693775 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -33012222?\nAnswer: -33012233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**3\/6 - 15*i**2\/2 + 29*i. Give r(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 70*s + 2. List the prime factors of l(8).\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 49468*z + 692576. Determine d(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + z**2 - 7 + 6*z + z**2 - 2 + 2*z**2 to the form c*z**2 + b + l*z and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -2\/9 (c) 4\/5 (d) 882 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6045146.\nAnswer: 2, 193, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288157700 a multiple of 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 111384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/1)\/(-20)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalrlalamhlllmlllra. Give prob of picking 1 h and 2 a.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 8*i**2 - 8*i + 12. Let d be l(-9). Calculate the remainder when -1 + 68 - d - 2 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 6*x + 2. Let s be i(-5). Suppose 0 = s*w - 20*w - 404. Let d = w - 113. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/((-7371)\/(-1701)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r*r\/(r\/r**(1\/2)))\/r**(-1\/6)*r**(-2)*r*r**(-7) assuming r is positive.\nAnswer: r**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 36*b. Let u(q) = 2*q + 27. Determine u(r(d)).\nAnswer: 72*d + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 + 260. Let g = u - 131. Solve -p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/10)\/f)**(12\/19)*(f\/f**(-15))**(-37) assuming f is positive.\nAnswer: f**(-56306\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 + 176. Does 44 divide (-3003)\/(-6) + (-25)\/10 + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6234 is divided by 1540.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 12 (b) 1\/7 (c) 2\/3 (d) 0 (e) -102 (f) -88 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 92\/1*12\/3. Suppose -o = 3*o - j. Suppose -k + 86 = 4*s + 2*k, -2*k + 42 = 2*s. Calculate the greatest common factor of s and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y - 5*l = 16, 0 = -y - l + 4. Let k(i) = -17 + 17*i + 7 - 10 + 4. What is the hundreds digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((3 - 6) + 1)\/((-2)\/3). Let x be ((-6)\/7)\/(c\/(-21)). Solve 12*v = x*v + 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -515*f + 530*f + 180 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83236.\nAnswer: 2, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -41*c**3\/3 - 1589. Let o(r) = 45*r + 3. What is f(o(y))?\nAnswer: -83025*y**2 - 11070*y - 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-2 - (-24)\/13). Suppose -3*q = -7*q + 12. Let s = -2 + q. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068*k**3 - 1071*k**3 + 44*k - 44*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -224?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 8}. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*t - 11 + 21 = 0, 0 = -5*k - 5*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 8, -1, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-870)*-28)\/(35\/90)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.157, -28, 12?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -107?\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 254*c**2. Let f(z) = -z + 1871385. Calculate f(p(k)).\nAnswer: -254*k**2 + 1871385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002608 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496395131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -2. Let k = -6.000003 + b. What is k rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -2, 4, 10?\n\"Answer: 6*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 35 = 4*z + d, -z - d = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2. Let g(j) = -j**2 + j. Let p(b) = 7*b**2 - 6*b. Let f(n) = 6*g(n) + p(n). Let d = -56 + 51. Calculate d*f(q) + 2*s(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/81708 and -85\/3714?\nAnswer: 81708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let w(x) = 297*x**2 + 238*x**2 + 318*x**2. What is w(b(g))?\nAnswer: 853*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3293*q. Let z(u) = 57*u**2 + u. What is z(c(g))?\nAnswer: 618099393*g**2 - 3293*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 4*i + 3*i - 30*i**2.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/9)*q*q\/q**(-6\/11)*q)\/(q*q**(-6)*q*q\/(q\/(q**(-2\/19)\/q))*q) assuming q is positive.\nAnswer: q**(16063\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 + 42*t**2 + 9*t - 18. Let w(g) = 7*g**2 + g - 3. Let c(q) = a(q) - 6*w(q). Let n(h) = 8*h**3 - 7*h. Determine -10*c(f) - 4*n(f).\nAnswer: 8*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:25 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 15*w - 13*w = -5, 2*k + 4 = -w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -45. Let s = 7 - 7. Let k be 18 - s*1\/1. Calculate the greatest common factor of k and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + l + 8 = 0, l - 35 = -5*b - 4*l. Suppose 5694 = b*s - 6*s + 3*h, 3*s - 5*h + 5690 = 0. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + ((sqrt(1216) + 1 + sqrt(1216))*1 - (sqrt(1216) + -1 + sqrt(1216) + 2))**2 + (sqrt(1216) - (0 + 2 + sqrt(1216) + sqrt(1216))**2)*5).\nAnswer: 1120*sqrt(19) + 97368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 - 53*l**2 - 19*l + 17. What is the remainder when 1067 is divided by s(-9)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 3*b**2 - 118*b + 1496\/3.\nAnswer: (b - 22)*(b - 4)*(b + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -154*g + 157*g, d - 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g. Let c be h(-1). Suppose -12 = i + 5*u + 7, c*i + 5*u + 23 = 0. Is (113\/i)\/((-1)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1033, 3241, 5443, 7639, 9829, 12013, 14191?\n\"Answer: -3*n**2 + 2217*n - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4) + 1\/(-1). Let r = 7 + g. Suppose 3*t - 36 = -2*c, -3*t - 4*c - r = -46. Solve 5*s = -0 + t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3887847875 minus 0.8?\nAnswer: -3887847875.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -25. Put p, 0, 1\/4 in descending order.\nAnswer: 1\/4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 2335.8.\nAnswer: 1167.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 410 and 2?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2052?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.063? (a) -1.9 (b) -3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2\/5))\/c)**(2\/23))**(-4\/25)*(c**(2\/13)\/c*c*c**(-2\/9))**(3\/7) assuming c is positive.\nAnswer: c**(-27368\/784875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 15.23. Let j = 19.6 - h. Let w = 5 - j. Which is the third smallest value? (a) -5 (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 90 = 3*k + 45, -5*k - 129 = -2*c. Is 652\/9 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(180\/(-525))*(-2)\/5. Solve v*c = -1464 + 1457 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446 divided by -199.\nAnswer: -446\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -36*w - 66. Let i be t(-3). Let q be (-330)\/i - 0 - -9. Factor -q*u**3 - 8\/7*u - 2\/7*u**4 - 12\/7*u**2 - 2\/7.\nAnswer: -2*(u + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -232*y - 3633. Let s be q(-16). Solve -12*n + s - 151 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -0.217\nAnswer: -5.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60316 + 26?\nAnswer: -60280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 4745744*u - 94914848\/5.\nAnswer: -2*(u - 11864356)*(u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**8)\/o*o)\/o)\/((o*o**(-13\/3)*o)\/o))**20 assuming o is positive.\nAnswer: o**(680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*k - k - 5*k + 4*k + 2*k + 3*k - 6*k + (4 - 5 + 3)*(2*k - k - 2*k) - 3*k + k + k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.49747294 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 5. Let v be k(-5). Solve -4*m - 8 = -4*b, v = m + m - 3*b + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437 - 29*k - 437)*(-53 - 23 + 17) + (-2*k + 0*k + k)*(-2 + 0 + 1).\nAnswer: 1712*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 492 - 72. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91321.8 - 34734.381.\nAnswer: -126056.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + -233. Solve -12*v + 13*v - 8 = -q*f, 0 = -5*f - 4*v + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1936*c + 7. Let r be h(-4). Let g = r + 15180. Suppose 641 + g = 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 24*o - 19. Let p be r(25). Let j be (5 - p) + 1 + 16\/4. Solve j*i + f = 8, -2*i + 4*i - 5*f = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1172, 264, -642, -1540, -2424?\nAnswer: -3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + j = 419, 0 = 5*d - 220*j + 222*j + 8 + 134 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 2)*(-6)\/18. Let c(p) = -p**2 - p + 2. Let w be c(-2). Suppose w = -h - 0*h. Sort h, t, -1\/4 in decreasing order.\nAnswer: t, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 17\/(-17) + (-17)\/(-1)*1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 32167 - 32167.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9497 divide 704250035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3586 - 3856. Which is the closest to -1? (a) p (b) -0.5 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80356 is divided by 5356.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000648 rounded to six decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4)\/((-11)\/((-66)\/(-12)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030 by -206.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-336)\/(-18)*(-1 - (-501)\/(-12))\/(-3). Calculate the greatest common divisor of x and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 70*t + 11 = -d, 0 = 5*t - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 287*s**2 - 1132*s.\nAnswer: -s*(s - 283)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 - 246. Solve -2*h = 2*b + 10, -b - 13*h + n*h = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 450*j - 1394 wrt j?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 16*v - 5*u - 14 = 0, -5 = v + 2*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6a - 2?\nAnswer: -e6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.19995 rounded to 2 decimal places?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = -1. Let f(v) = -v**2 + 25*v - 148. Let r be f(10). What is the third biggest value in 1\/4, r, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56913 divided by -9\nAnswer: -18971\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*j**3 - 62*j**3 + 9*j**5 + (0 + 0 - j)*(j**4 - 3*j + 3*j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32324378 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 63*s**3 + 837*s + 19. Differentiate i(z) with respect to z.\nAnswer: 378*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*b + 4 - 188*b + 98*b - 204*b to d + n*b and give n.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 7. Let t(y) = -6*y**3 + 11. Let q be (3 - -3)*-1*(-36)\/(-24). Let d be 54\/(-10) + (q - (-141)\/15). Determine d*t(i) + 8*u(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -8*o + 48. Let z(r) = -r - 9. Let s be z(o). Let w(k) = -s*k - k + 0*k + 6*k. What is w(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -191*l + 111. Let f be n(-29). Let z = 81 + f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 + 18*q**2 - 44*q. Let i(p) = 17*p**3 + 88*p**2 - 222*p. Let l(s) = -6*i(s) + 33*u(s). Factor l(c).\nAnswer: -3*c*(c - 20)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 < -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 8*l = 92. Let x = -9 - l. What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*t)*(-3*t**3 + t**3 + t**3) + 59*t**2 + 60*t**2 - 175*t**2 + 2654*t**4 + 56*t**2 to z*t + y*t**4 + g*t**3 + x*t**2 + o and give y.\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/((v**(-11)*v)\/v*v)))\/v))**(14\/5) assuming v is positive.\nAnswer: v**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/4 + -1. What is the nearest to 0.1 in l, 4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**4\/5 - 210577206*z**3\/5 - 3695229973897203*z**2\/5 = 0?\nAnswer: -35096201, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 + -7 + -6 + 5 + 18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127862420*l**4 - 393013*l - 44.\nAnswer: 1534349040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/111, 52\/7, -2\/7?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + 68\/12. Sort k, 2, 3.\nAnswer: 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003075604808 rounded to 7 decimal places?\nAnswer: -0.0003076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177*k**2 - 128*k + 70*k**2 + 157*k**2 + 0*k**2 wrt k?\nAnswer: 808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 107*z + 14. Let j(c) = -3*c - 2. What is -5*j(q) - v(q)?\nAnswer: -92*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1184100 to the nearest ten thousand.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 99*r**2 - 1376*r - 1476 = 0.\nAnswer: -1, 18, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-2 + 3 + -1 - (-85 + 141))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11807221358\/32983 - -357979. Is 1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-33)\/6)*6. Suppose 4*q - d = 3*s, -3*s = 2*s + q + 2. Let y be 3 - (s + 4)\/3. Solve -y*t + 4*n + 16 = -2, -5*t = 3*n - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*k - 1072 + 306 = -475 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320 + 429 = 72*s - 627 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47.10423 and 4.1?\nAnswer: 51.20423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from sbbbbssfbbfe.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**2 - 5*h - 1. Let s(p) = -7*p - 163*p**2 - 2 - 162*p**2 + 312*p**2. Suppose 2*u + 0*u + 14 = 0. Calculate u*v(w) + 5*s(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4068.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p**2 + 2268*p + 2677. Determine r(228).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 1027 - 1027.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281.11 - 5.11. Let x = 280 - t. Sort x, -0.5, 17 in decreasing order.\nAnswer: 17, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-90)*6*192\/80.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**9\/504 - 19*t**6\/24 + 301*t**5\/60 + t**3\/2 - 5*t**2 + 191. Find the third derivative of c(j) wrt j.\nAnswer: 120*j**3 - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -17*q**6\/20 + 959*q**5\/60 + q**2 - 132. Find the third derivative of w(r) wrt r.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 11*f + 12 = k, 2 = -k - 5*f. Let q be (1\/2)\/(k\/48). Suppose 2*l = -4*x + 20, 3*x + 8 = -x + 5*l. Is x less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - 54\/10 - 1034\/(-10).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(6)*3.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 24*b = -169. Let u(q) = -20*q. Let g be u(-2). Let z = b + g. What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049691, -2099432, -3149177, -4198926, -5248679?\nAnswer: -6298436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/6)\/(14\/4 + -3). Suppose -3*v = r - 0*r - 3, 3*r + 5*v = f. Suppose -2*c + 40 = -r. Solve y - 6*y + c = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.98*-138136.\nAnswer: -1240461.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56375\/9 + -6264. Sort j, 1\/625, -2\/5 in decreasing order.\nAnswer: 1\/625, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 + -0.8. Which is the second biggest value? (a) -3 (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sas when three letters picked without replacement from {a: 1, s: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let a(i) = 11*i**2 - 11*i + 11. Let d(v) = -v**2 - v + 1. Let w(o) = -a(o) + 11*d(o). Give m(w(n)).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 44948*r**2 - 5*r - 6. Is d(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*90.858.\nAnswer: 181.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 - -3. Let m = 0 - v. Which is the third smallest value? (a) m (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897013656 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:30 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l**2. Let m(q) be the second derivative of q**3\/3 + 3*q. Determine m(i(x)).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10304.\nAnswer: 5\/10304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 24 = -7*l. Suppose 15*g - l = 11*g. Solve 0 = 4*t + 5 + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-5)\/(5\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337734799 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-4 + -4 + sqrt(125)*-3 - (sqrt(165)\/sqrt(3)*-5)\/(sqrt(396) + -1*sqrt(396) - sqrt(396)))**2.\nAnswer: 476*sqrt(5)\/3 + 71381\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r**2 + 339*r - 337*r - 4*r**2 - 311 + 2*r**2 in the form p*r + f*r**2 + w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 + ((-2)\/9 - (-32)\/(-18)) and (-1 + (-3)\/(-2))*8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.767 - 0.267. What is the third biggest value in -3\/7, 19, d, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.21390525948 - 2.\nAnswer: -71.21390525948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let o = a + 1. Suppose 0 = -0*s + o*s - 105. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -933779 by -315.\nAnswer: 133397\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -4915?\nAnswer: -4922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22273, -22283, -22307, -22351, -22421?\n\"Answer: -q**3 - q**2 - 22271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -60. What is the lowest common multiple of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 736156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6269 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - 150.3. Which is the closest to -1? (a) o (b) 19 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 37, 98, 215, 406?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5 + 38 = 13 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3969 - -4019. Solve 0 = -q*a + 177 + 123 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:26 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 + 2*a**2 - a - 2. Let u(y) = 11*y**3 + 5 + 9*y - 5*y**2 + 4*y + 7*y - 22*y + 5*y. Give 5*h(p) + 2*u(p).\nAnswer: -3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p + p + p**4 + 5*p**4)*(-2*p - 2*p - p).\nAnswer: -30*p**5 + 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -19. Let n = -16 - y. Let m be (2\/2)\/(n\/(-84)). What is the greatest common divisor of m and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**3 + 11*y**2 - 11*y + 22. Let u(k) = 4*k**3 + 6*k**2 - 6*k + 11. Let f(v) = -6*l(v) + 11*u(v). Differentiate f(s) with respect to s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-6) + 7\/42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 2*z + 1. Let q(r) = -3*r - 1. Let n be q(1). Let y = n + 8. Let h be 11\/(-9) + y\/18. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*n - 203, -4*j + 0*n = 4*n + 140. Let o = -30 - -5. Find the common denominator of -117\/10 and j*(1 - o\/(-18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from rpppppnrqrcnpppccrn.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = -8, 4*y - o + 2 = 0. What is the second derivative of h**2 + h**2 - 3*h + y*h**2 + h**2 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let o = -1 + 4. Let d(z) be the first derivative of -3 + 2 + o - 2*z**3 + 1. Give d(h(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29516080 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -29. Calculate the least common multiple of r and 86.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2615410 and 52\/9?\nAnswer: 23538690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30582 divided by -7.\nAnswer: 30582\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Suppose -i - i - 12 = 0. Let o(j) = -j - 6. Let m be o(i). Let y(n) = n - n + n + m. Determine y(a(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 - 2 = 0. Suppose 8 = i*n - 4*f, -3*f + 1 = -4*n + 7. Solve n = 5*o + 2 + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -742168811110 + 130.\nAnswer: -742168810980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/4 + 19*v\/2 - 105\/4 = 0. What is v?\nAnswer: 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**3\/f)\/(f\/(f*(f\/f**(-1\/6))\/f)))**(-45))**16 assuming f is positive.\nAnswer: f**(-2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -8 + 74. Let k = q - -58. Let z = -162 - -165. Solve -z*a - 10 = -k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51964 = -7*c + 51908 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 175660.\nAnswer: 702640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*k - d*t**2*x**2 + 2*d*t*x**2 + 742228*k*t**2*x**2 - 3*t**2*x - 1217*x wrt k?\nAnswer: 3*d + 742228*t**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1602 and 9?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -283, -2338, -7921, -18802, -36751, -63538, -100933, -150706?\n\"Answer: -295*k**3 + 6*k**2 - 8*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvbv. Give prob of picking 1 b and 2 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*t - 39, 3*g - 5 + 2 = -5*t. Let c be 2\/(-9) - 364\/(-18). Suppose 0 = -2*k + 7*k - c. Solve v - g = k*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 1. Let t = -2.9 - l. Sort 4, -0.4, t.\nAnswer: -0.4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 10:34 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -0*d - 5*d, 2*d + 5*r = -6. Let g = -6 + 8. Solve -d = 2*w + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4341141*w**2 - 4912746?\nAnswer: -8682282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -70*d**2 - 146*d - 36 = 0.\nAnswer: -9\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) -49 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65270882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-30))\/(10\/75))\/(54\/(-32))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18\/15*1)\/((-56)\/140)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 87. What is the closest to -2\/3 in r, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3) + (-5)\/(-15). Let d = -940\/17 - -215294\/3893. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40481 + -40482. Which is smaller: l or -31\/308?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-30)\/(-12) - 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c*c\/(c*c**(-2\/23)*c))**(-1\/23) assuming c is positive.\nAnswer: c**(136\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 12*i**2 - 62*i + 266. Does 32 divide t(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 86*r**3\/3 - 9*r**2\/2 + 2*r - 1048. What is n(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45753138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940405?\nAnswer: 5, 388081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1796*p - 554 - 1769 - 6719 = 5326 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1336 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228739\/32 + 7147. Find the common denominator of -73\/48 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -482 or -71925\/16?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 525 + 146447?\nAnswer: 146970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.07 (c) 4\/7 (d) -3 (e) -601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(272) + -1)**2 - -3*(-2*sqrt(1088))**2)*-5.\nAnswer: -200*sqrt(17) + 333225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -21*y + 26. Let r be k(-6). Let f = r - 2586\/17. Let q = -21\/32 + -3\/32. Which is the second biggest value? (a) q (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1)*13\/182.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/20*(4620\/33)\/35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z - 8*z + 66*z + 23*z)*(2 + 0 - 1).\nAnswer: 97*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1216) + (sqrt(1216) - (4 + sqrt(1216) + -1)))**2 + -1 + (-2 + -1*sqrt(1216)*5)**2.\nAnswer: 112*sqrt(19) + 31624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d + 2*d)*(25*d + 12*d + 30*d - 12*d).\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 - a + 1. Let g(j) = 8*j**2 + 1 - 6*j**2 - 3 + 1. Let q be g(-1). Let w be 32\/40 - q\/(-5). Determine f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1263, -1343, -1557, -1971, -2651?\n\"Answer: -11*h**3 - h**2 - 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 - 19892679*l\/5 - 19892682\/5.\nAnswer: 3*(l - 6630894)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53621 - -49?\nAnswer: 53670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 746190738 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49069 - -26031. Let a = w + 23038.09999. Let d = a + -0.1. What is d rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + u - 9 = -0*q, 0 = -2*q + 3*u - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2 - p**2 + 5\/4*p + 1\/4*p**3 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 + 255*w**4 + 7818*w**3 + 101472*w**2 + 465696*w = 0.\nAnswer: -28, -18, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -25*a - 4. Calculate o(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-294)\/(-30) + -8)*40\/6. Let t(f) = 3*f - 25. Let y be t(m). What is the highest common factor of y and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-2) - (-125)\/(-25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 3.2764.\nAnswer: 29.4876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 - 0 - (-6)\/3. Suppose -5*r + b = 4*t, -t + 2*t = -5*r + 11. Solve 10 = -4*y + 2*o, -r*y + 5*o - 10 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*p + 10 = 0, -4*p = 4*z + 2 + 2. Let d = 129 - 43. Let n = d + -86.1. Which is the second smallest value? (a) n (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {g: 2, l: 3, i: 1, e: 6}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1453267, 2906534, 4359801, 5813068, 7266335, 8719602?\nAnswer: 10172869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s = 4*a + 72, -5*s + 54 = 2*a. Suppose 7*k = 3*k + 8, -k = 5*g - s. Suppose 4*r = 9*r - 50. Solve 4*d + r = -g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -1299?\nAnswer: 1299.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25980121 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1453 by -5.\nAnswer: -1453\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8880000 = 3*f - 6*f, 2*d - 8879976 = 3*f. Suppose -4*h - 2*a = d, 3*h + 5*a + 5031174 = 1701189. Round h to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000 - -11111110010100010010?\nAnswer: 11111110010110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose -19 = 3*a - b + 6*b, 2*b = j*a + 26. Let f(u) = 3*u. Let w(c) = c + 2*c - c. Calculate a*w(z) + 5*f(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 654000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293678830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381568 is divided by 145?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-1)\/3 - (-762)\/127.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2 + 14615*i + 17440150 = 0.\nAnswer: -910, 3833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 2*m**2 - 3*m - 3. Let q(d) = -d**2. Let c(n) = -p(n) + 2*q(n). Let x(b) = 5*b**3 + 7*b + 7. Calculate -7*c(v) + 3*x(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.362 and -0.3.\nAnswer: 0.1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/19 + 382*i**2\/19 - 1560*i\/19 = 0.\nAnswer: -195, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4723*l**2 + 55*l. Let c(w) = -1575*w**2 + 20*w. Determine -11*c(y) + 4*i(y).\nAnswer: -1567*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353085 divided by 14243?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1599 less than 0.64919?\nAnswer: -4.51071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2 - 9*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c + 3*q - 93, 0 = c - q + 97. Let k = 683 + c. What is the smallest common multiple of (-2)\/9 - k\/(-36) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1*n\/(n**31\/n)*n**(-32)*n\/(n\/(n*n**(-10\/3)))*n assuming n is positive.\nAnswer: n**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 84, -0.1, 18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*y - 7. Let p = -18 - 14. Let o = p + 102. Calculate the greatest common factor of y and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 - 2*f**2 + f - 1. Let v be o(-3). Let s = v - -23. Suppose -x = -3*q + 386, -4*x + s = -5*q + 737. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 9, 0, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 3. Let q be t(-2). Let k be -7 + q + 2 + 1. Let g = k - -11. Solve -5*p - g = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-8 - -16) + -20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12\/(-16) - 33\/12*-1 and 203.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35069605.0000016 + -35069629. Let y = 24 + p. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3925*t - 159467 = 2559*t - 6198*t - 23315 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-2*h + 4*h + 0*h) - 13*h - 11*h + 4*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 4*p + 4. Let g be j(4). Let m = g - 50. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3341732220 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 551363*u - 59547216. Determine o(108).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277838 and 5579942?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/4)\/((-1)\/4). Solve 3*w + 0*w + 4*k = -27, 0 = 3*w + r*k + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + w + 1 = 0, -4*c + 2*w - 29 = -27 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2))\/p*p)**(-33)\/((p*p\/p**8)\/p*(p\/p**(-3\/2)*p)\/p))**(-17) assuming p is positive.\nAnswer: p**(3213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75)*-2)**2)*-2.\nAnswer: -600 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 + 214. What is the third derivative of n - 262*h**6 - 2*h**2 + 388*h**6 - 213*h**6 wrt h?\nAnswer: -10440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -47*q**3 - 4*q**2 - 3. Let w(d) = -46*d**3 - 5*d**2 - 4. Give 5*u(s) - 4*w(s).\nAnswer: -51*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.33056981 to 1 decimal place.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnlofolvnovo. What is prob of sequence lvn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2550, 2577, 2622, 2685?\n\"Answer: 9*v**2 + 2541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*l = -0*l, -w + 5*l = -35. Suppose -w*o + 23*o = 3991. Calculate the remainder when o is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -3\/445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -11. Let s be ((-6)\/(-99)*69)\/((-2)\/60). Let g = s - -126. Sort g, o, -3\/7, -0.2 in ascending order.\nAnswer: -3\/7, -0.2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(208))**2 + -5 - (sqrt(208)*-1 + 5)**2 - ((sqrt(208) - (-4 + sqrt(208)*3)) + -4).\nAnswer: 48*sqrt(13) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29507 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + -22. Let o be 102\/8*(-24)\/(-9). Let w = o - i. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1167 - -1166.999484. Round b to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168699 rounded to 5 decimal places?\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Suppose 21 - m = 3*h. Suppose 2*j - 52 = -5*c, h*j - j + 3*c = 92. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 5 + 6\/(-12). Let n(l) = 290777*l + k*l**2 - 290777*l. Let a(q) = -q**2 + 3*q**2 + q**2. Calculate a(n(c)).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4253 and 9.\nAnswer: 38277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -39.68065.\nAnswer: -119.04195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let g be 0\/(-1)*(-4 + 5). Let a be g\/((-50)\/(-20)*4\/(-5)). Sort a, t, 0.4, -2\/13 in ascending order.\nAnswer: -2\/13, a, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3.3. Let o = m + -1.8. Which is the biggest value? (a) 1 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(0\/2 - 3). Let q(g) = 9*g**2 - 53*g - 9. Let k be q(6). Is p greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + p = -0*p - 11, 5 = -5*r + 2*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -17.965. Suppose -3*s - 8 = -11. Suppose 3*u + 3 = -3*d, -4 = -d + 3*u - s. Is d < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Solve -h*c = -c - 4*n - 2, -3*n = -4*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*s + 5, -3*s = r - 4*s + 3. Let h = 3.0163 + -0.0163. Which is the nearest to r? (a) -4 (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 31. Let v be i(4). Let r = 1.13 + -0.63. What is the nearest to 5 in 4, v, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43335651 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 17*q + 36. Let g = 33 + -50. Let f = 15 + g. What is the nearest to -1 in -0.2, q, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 61047916*f - 61047920.\nAnswer: 4*(f - 15261980)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 24. Let o(c) = 16*c**3 + 21*c**2 + 11*c - 5. Let p(w) = -3*w**3 - 4*w**2 - 2*w + 1. Let q(r) = -2*o(r) - 11*p(r). What is q(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113390 to the nearest 1000.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7321*f**4 - f**3 - 4*f + 31888 with respect to f.\nAnswer: 29284*f**3 - 3*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*d**3 + 2\/3*d - 5\/3*d**2 + 0 + 5\/3*d**4.\nAnswer: d*(d - 1)*(d + 1)*(5*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120311 (base 4) to base 12.\nAnswer: -b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 4 = 5*i. Let k be (3*i\/(-9)*0)\/1. Solve m + 4*m - 5 = k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:51 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-46)\/((-1012)\/66).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**3 - 5*j**2 + j + 2. Let s(l) = -6*l**3 + 4*l**2 - l - 2. Let k(a) = -5*o(a) - 6*s(a). Calculate k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 46255*z + 12315450.\nAnswer: -5*(z - 9510)*(z + 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.302 * 0.13.\nAnswer: 1.07926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**4 - 15*i**3 + 56*i**2 + 6*i - 14118. Let f(x) = -x**3 - x**2 + 6*x + 3. Let s(y) = f(y) - z(y). What is the first derivative of s(r) wrt r?\nAnswer: 4*r**3 + 42*r**2 - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61092058?\nAnswer: 2, 1721, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 117360*m + 17652957.\nAnswer: 3*(m - 38969)*(m - 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67, -75, -83, -91, -99?\n\"Answer: -8*x - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 8. Let v be q(-6). Suppose p + 0*p + 6 = 3*z, v*p - 27 = -5*z. Is 14 a factor of p\/18 + (-83)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/1 - (-2 + 3))\/1. Let q(k) = 4*k. Determine q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**3 - 129*u**3 + 177*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6933, -27026, -60503, -107364, -167609, -241238?\n\"Answer: -6692*j**2 - 17*j - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(4\/6). Suppose -x + 3*x = -6. Let b be -3 - x - -2 - o. Solve -2*l + w = 2 + 4, b*w + 22 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 0 (c) -234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(sqrt(12)\/sqrt(2))\/sqrt(2) + (-2*(sqrt(75) + 1 - sqrt(75)))**2).\nAnswer: -18*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + j - 1. Let z be o(6). Let a = -961 + 491. Let y be -4 - (a\/120 - (-2)\/(-6)). What is the closest to -1 in z, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*d**5 - 151259*d**4 - 16390194*d**2.\nAnswer: -1740*d**2 - 3630216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 420 + -295. Let p = -145 + w. Which is the closest to p? (a) -4 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331733702.09 less than 3?\nAnswer: -331733699.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h + 1)*(2 + 9 + 5).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8*((-9)\/24)\/((-1092)\/168)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -288*f - 3 - f**3 + 291*f + 10*f**2 - 10*f**2. Calculate m(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/27, 4, 0, -23\/3, 6?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -2 - 6\/2. Suppose -5*h - 5 = -2*h + 2*j, -5*j = h - 20. Let r(s) = 2*s - 5. Let m(q) = 0 - q + 4 - q. Give h*m(a) + o*r(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -33*a**2. Let v(y) = 11*y**2. Give 6*c(j) + 17*v(j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhzhkhk. What is prob of picking 2 z and 2 k?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, -83.\nAnswer: -83, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 754\/957*-11*(-3)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6689975 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2585895625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -60\/118823551 and -26\/138845.\nAnswer: 594117755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(99)*-1)\/(sqrt(324)*-1))**2 - (sqrt(132) + ((sqrt(132)*2 + sqrt(132))*-4 - sqrt(132)))\/(sqrt(24)\/(sqrt(6)\/sqrt(3)))) + 1.\nAnswer: 20\/9 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, f: 1, v: 2, n: 4}. What is prob of sequence nve?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1554*22\/4158*(-18)\/(-4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 8. Suppose 6*t - t - 15 = 0. Let a(w) = 3*w - 3. Let o(g) = g - 1. Let y(p) = a(p) - 5*o(p). Let r(m) = -5*m + 4. What is i*y(h) + t*r(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20961.9 rounded to the nearest 10?\nAnswer: -20960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 52. Let u be t(-24). Let s be 26\/u - (1 + -1)\/3. Which is smaller: s or 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16290 = 4*h + r, 4*r = -4*h + 3*h + 4065. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26967\/16 + -1687. Let p = 1277\/588 - -12\/49. Find the common denominator of j and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-15))\/(j**(-2\/7)\/j)*j**(1\/6)*j\/(j\/(j*(j*j*j**(-7)*j)\/j)) assuming j is positive.\nAnswer: j**(-695\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -3965, -8776, -15511, -24170, -34753, -47260?\nAnswer: -61691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, w: 2}. Give prob of sequence pwpw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 23\/(23\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/13 - -2\/39. Sort 0.3, v, 0.4, -2.\nAnswer: -2, v, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u - 1 - 2*u - 5*u)*(0 - 4 + 3)*(4*u - 4*u - u)*(-145*u**2 + 132*u**2 - 312*u**2) to r*u**2 + s*u**3 + t*u + a + m*u**4 and give s.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5591038?\nAnswer: 2, 683, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 70. Let r = s + 32. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 36)\/((-6)\/3 + 1). Sort -4, 4, w in increasing order.\nAnswer: w, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g - 18 + 10*g**2 - 11*g**2 - 3*g**2 + g**2 as v + u*g**2 + l*g and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6655436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 32. Let c(r) be the third derivative of 17*r**6\/120 + r**4\/24 + r**2. What is the lowest common multiple of c(1) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 2. Calculate the smallest common multiple of (-1)\/(-2) - 93\/(-6) and q(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*s - 26 = -7*n, 0 = 2*n - 2*s - 22. Calculate the highest common divisor of 24 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9622831 millilitres in litres?\nAnswer: 0.0009622831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13199972 divided by 148?\nAnswer: 89189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -232\/15 <= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106.9 * 0.366.\nAnswer: 39.1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -5\/1292238 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + s + 3*s in the form a + c*s and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**2 - 2*j. Let q(p) = p**2 - p. Let o(a) = -5*a**2 - 2*a. Let u(n) = o(n) - 4*q(n). What is 6*d(h) + 5*u(h)?\nAnswer: 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 6:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -961 + 979.04. What is u rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 113, 173, 241?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 56. Which is the biggest value? (a) 1 (b) 0.3 (c) -1\/3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 54*j**2 + 55*j + 88. Give h(-55).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2 + sqrt(228))\/sqrt(4)*-6)\/(5*sqrt(12)\/sqrt(4)*-6).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16089?\nAnswer: 3, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1131306026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13373 - -13795. Solve 3*b - 425 = -r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.75 - -21. Let t = n - -102.75. Let d = 101.00182 - t. What is d rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i**2 + i + 12. Let h be l(4). Let r(c) be the second derivative of -1\/12*c**4 + 0*c**3 + h + 0*c**2 + 6*c. Let j(w) = -2*w. Give r(j(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**2 - 14232*m\/7 + 14372\/7.\nAnswer: -4*(m - 1)*(35*m + 3593)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 f when four letters picked without replacement from nrnfnnrffn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/54 + 1 + (-1 - -5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7 - 1. Suppose -2*o - 5*n + 9 = 0, -2*o - 9*n + 14*n - 1 = 0. Find j, given that 3*j**o - 2*j**2 - 12*j + 5*j**2 + 6*j**g - 3*j**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 24*x - 58. What is the tens digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose -4*v = -5*i - 18, u*i = -4 - 2. Factor -3 + 3*o**2 + 1 - 2*o**2 + o**v.\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*x**4 - 225*x**3 + 796*x**2 - 900*x + 208.\nAnswer: (x - 13)*(x - 2)**2*(13*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 527986 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*k - 0*k. Let n be 1813\/k + 6\/(-4). Let a = n + -54. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1906 = v, 5*v = -135*r + 130*r + 9480. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11654 divided by -107\nAnswer: 11654\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121000 divided by -6050.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96974 rounded to the nearest 1000?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, q: 5}. Give prob of sequence qrqq.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a30 + 363?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1133, 2265, 3397, 4529?\n\"Answer: 1132*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**2 - 9*o + 15. What is j(2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106253 and 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 220302?\nAnswer: -220300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91, 107, 133, 169, 215, 271?\n\"Answer: 5*u**2 + u + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-7)\/(-42)*26.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315442 + 0?\nAnswer: -315442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 125 - 20*g**2 - 16*g**3 - 125 = 0. What is g?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*v - 437994 = -4*w, 4*w + 4*v = 438012. Round w to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 575334425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a factor of 36049092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -18*w - 72. Give m(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:41 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 129427770 to the nearest one hundred thousand.\nAnswer: 129400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (5 + -81 + 3)) + 3 + (3 - 11).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.039, 7, 1, 2\/23?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 69d33 (base 16) to base 7\nAnswer: 3453505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, 4, 0.1, 70, 245?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/98190 and -109\/43640?\nAnswer: 392760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2 - 10*q + 12*q + 3*q. Let f(k) = -k + 1. Calculate -2*f(t) + x(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1147.204 grams to nanograms.\nAnswer: 1147204000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115628*q - 280872 wrt q.\nAnswer: -115628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 - (-4 - -2). Find the second derivative of -l*y - 4*y**2 + y**2 + 5*y + 2*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -245, -1176, -2729, -4898, -7677, -11060, -15041?\n\"Answer: r**3 - 317*r**2 + 13*r + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 44 = -64. Let g = 9 - z. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/42 - (2 + (-312)\/21). Suppose 4*u + 20 = 2*y, 5*y + t*u - 10*u = -2. Suppose 18 = 2*o + 2*p, -4*o + 2*p + 61 = 7. Solve o = i + y*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*936\/(-40950).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*p + 19011 = 4*p, 2*w - 7608 = p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*h + 10, w - 364 = -6*h - 327 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:35 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-168)\/(-9)*(-42)\/(-8). Is 12 a factor of (9*-1)\/((-21)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349284 is divided by 5114?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28890275*g**2 - 28890275*g**2 + 3502*g**3.\nAnswer: 3502*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-19))\/g*g)\/(g*g**5\/g) assuming g is positive.\nAnswer: g**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 92*m + 984. Give y(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 605*f**5\/3 - 5170*f**4 + 41055*f**3 - 280360*f**2\/3 - 38180*f - 3600 = 0. What is f?\nAnswer: -2\/11, 5, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -21120971.2147727?\nAnswer: 21120971.5147727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -22*m - 12. Let w(p) = -5*p + 6*p + 2 + 4 - 5. Give -s(v) - 12*w(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/20 - 5*o**4\/24 + 3*o**3\/2 + o. Let b(p) be the second derivative of g(p). Differentiate b(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:57 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from glvvlllvgvvv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1735.9 - -1555. Let v = t + 180.900747. Round v to five dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*1 + 1 + -4. Let b(s) = -s**3 - 15*s**2 - 14*s. Let m be b(-14). Suppose 4*u = -m*u. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -2\/7 (c) 3\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31697 = -539*i - 24636 - 6730 for i.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-38 + 3 - -86).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100301021?\nAnswer: 6581, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14256*n - 3294*n**2 - 10368 + 2271\/4*n**3 - 207\/8*n**4 + 3\/8*n**5 = 0. Calculate n.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4755475 is divided by 297217.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 7:43 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by -6\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 - 5*n - 4. Is 5 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223323 divided by 7?\nAnswer: 223323\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*s - 191*s + 1937 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1267 + -1194. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341.53 - -332. Let v = 0.07 - y. Round v to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385730701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 21*p + 47. Let n be v(-26). Let q = 61 + n. Do -27 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 1. Let m be (-2)\/(-5) - 0 - 1694\/385. Let y(t) = 9*t + 3. Let h(f) = -2*f - 1. Let d be h(5). What is d*x(g) + m*y(g)?\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/189 + w**6\/135 - w**5\/45 - w**4\/27 + w**3\/27 + w**2\/9 - 12*w. Factor t(r).\nAnswer: 2*(r - 1)**2*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4\/8 + 3*y**3 + 39*y**2\/8 + 9*y\/4 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2485, 2610, 2735, 2860, 2985?\n\"Answer: 125*o + 2360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {s: 4, c: 3, f: 2, r: 2, z: 1, v: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/13 (b) 2 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (20 + (6 - 24))) + (-3 - -10) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770002912 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Put a, 2, -3 in decreasing order.\nAnswer: 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -184*i. Let t(h) = -16*h**2. Give t(v(f)).\nAnswer: -541696*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5734618 - 2?\nAnswer: -5734621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/9)\/(3 - (-1772)\/(-591)). Let u = k + -189. What is the lowest common multiple of 3 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 630\/(-140) + -3*(-2)\/4. Let b be (-1 + -9)*1\/2. What is the biggest value in -1, h, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, 1, 1\/2, -1\/6?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/49200 and -43\/82000?\nAnswer: 246000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 315.\nAnswer: -4\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 1. Let f = -43 - -47. Let a be b(f). List the prime factors of (5 + -7)*(-2)\/4*a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(1584))*-2*-5 + (sqrt(1584) + (sqrt(1584)*-2)**2*1)*-3) + -1.\nAnswer: -84*sqrt(11) + 18997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqqqqqqqqqqqqqqqq. What is prob of picking 1 q and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6725*p + 65402?\nAnswer: -6725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1)\/(3\/2). What is the second derivative of 2 - 9*t - 5*t**3 - j + 26*t wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-1))\/(0 - 1). Let f(i) = c + 0 - i**2 - 5. Suppose 0 = -3*w + 1 + 2. Give f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 76308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 5}. What is prob of sequence mmf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6209, -13076, -19943, -26810, -33677, -40544?\nAnswer: -47411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 3, q: 4, w: 2, o: 6}. Give prob of picking 1 y, 1 z, and 2 o.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/360778 + -1172206\/116350905. Calculate the common denominator of 95\/54 and k.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = -5*u + u, -4*g - 2 = 2*u. Let r(n) be the first derivative of -10*n**3\/3 - 1. What is r(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412 - -240332411?\nAnswer: 240330444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4828 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44492314997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -16, 16, 112, 290, 568, 964?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.932234 decades?\nAnswer: 0.07932234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9897952 weeks to nanoseconds.\nAnswer: 598628136960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 22 - 9)*(7*y**3 + 2*y**3 - y**3)*(-3 + 4 + 1)*(-1 - 2 + 1)*(-4 + 2 + 0).\nAnswer: -1536*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 32 = -5*d + 3*d - 3*d + 27 - 5, -d - 92 = 29*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2492, 2491, 2490, 2489, 2488, 2487?\n\"Answer: -g + 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (690\/(-4140))\/((-83)\/6)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19864 is divided by 301.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllqlqoqqoqqqlqqq. What is prob of sequence loo?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120200120 + 112?\nAnswer: -120200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 819751 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -27)*(2 - 3). Let s = 32 - g. What is the highest common divisor of s and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-228)\/(-27) - ((-64)\/18 + 4). Solve -37*t + 35*t = -s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1430)\/200 + 7)\/(-2 + (-48)\/(-15)). Suppose 6*h - 56 = 2*h. Which is the second biggest value? (a) o (b) -1 (c) 1\/5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/35)*w**5\/w*(w*w\/(w\/(w**(-1\/7)*w)))\/w**(-8) assuming w is positive.\nAnswer: w**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -3*f**4\/2 - f**3\/2 + 2*f**2 + 6*f. Let m be l(3). Let i = -105 - m. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c - 37. Let p be k(7). Suppose -p = -b, 0*g + 3*b = g + 16. Which is bigger: g or 1\/175?\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 1, x: 3, s: 1, r: 5, v: 4}. Give prob of picking 2 v and 1 j.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccicisicccicccccic. Give prob of picking 2 i and 1 s.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3420, 3122, 2620, 1914, 1004?\n\"Answer: -102*r**2 + 8*r + 3514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 6\/(-3)*-2. Suppose 2*l - 5 = -t. Solve l*i + 0*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29880196, -29880195, -29880194, -29880193, -29880192?\n\"Answer: t - 29880197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*w - 13 = 0, -w + 5*w = 4*v - 24 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + 2. Let q(b) = b**2 + 4*b + 2. Let m be q(-3). Let f be (-1)\/m - 0 - 4. What is r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -3, 4*q = -4*r + 228. Let v = q - 9. Suppose -2*k - 8 = -2*m, m + k = -k + 19. What is the remainder when v is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12) + 570\/(-72)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 12. What is the remainder when 17 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 193?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - -5305?\nAnswer: 5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5\/y*y)\/(y**(3\/7)\/y*y))\/(y**(3\/7)*y*y\/(y*y**12*y)*y) assuming y is positive.\nAnswer: y**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 73*g + 110. Let c be a(-35). Suppose -2*o + 2*x = -11 + 3, c*x - 15 = 0. Solve o*z = 3*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40535469*d**4 + 32046652*d.\nAnswer: -486425628*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/30 + t**4\/6 + 6*t. Suppose k(x) = 0. Calculate x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 27*l. Let s(n) = -134*n. Calculate m(s(p)).\nAnswer: -3618*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (10818*c + 41931*c + 21494*c + 1358*c - 7445*c)*(-4 + c**3 + 4) as x*c + h*c**2 + s + b*c**3 + k*c**4 and give k.\nAnswer: 68156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 21 = 4*y, 40*y - 43*y = 5*t - 7. Put y, -3, 31 in ascending order.\nAnswer: -3, y, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -223, -0.3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48438*h + 48408*h + 150 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 25. Let g = 3 + 4. Let v be (3 - 0) + (g - 9). Solve -2*m = -a - 2, -a + x*m - v = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, 4, -15, 2 in increasing order.\nAnswer: -15, -2, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/120 + x**3\/6 + 3*x**2. Let h be p(1). Let w be (-3 + h)\/((-5)\/10). Is 5 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000219 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 812526 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 11 - 91. Let p(l) = -l**3 - 5*l**2 - 4*l + 3. Let k be p(-5). Suppose -17*x + k*x = 240. What is the greatest common divisor of x and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. Let f = z + 0. Let a(x) = 2*x + 2. Let u(m) = -5*m - 5. Give f*u(k) - 8*a(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-3) - ((-3306)\/18 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, -0.035, -1.\nAnswer: -2, -1, -0.035, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubb when three letters picked without replacement from uubb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0784, 4, 0 in ascending order.\nAnswer: 0, 0.0784, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 1, 2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386092.\nAnswer: 2, 7, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 1595?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(6)\/(2*sqrt(8)))**2 + -1).\nAnswer: -51\/4 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16188065 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 13 + 11. Let w(x) = -10*x - 8. Let m(o) = -o**3 - 9*o**2 - 9*o - 4. Calculate the remainder when w(b) is divided by m(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226515?\nAnswer: 5, 31, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 + 139. Let b be -1 - j - 4\/(-4). Factor -3\/5*y**b - 3\/5 + 6\/5*y.\nAnswer: -3*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190.1 - -190. Let f = -7.09 - -0.09. Let j = 11 + f. What is the closest to c in 2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 4*s**3 + s**2 + 0*s**2)*(3*s + 3*s - 4*s).\nAnswer: -2*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -10 - (-127 + 13 + -1 - (12 + 1))\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:15 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 15965*w + 239722. What is t(-15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-243)\/1134)\/((-9)\/(-24))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*a = 18, 3 = -o - 2*a - 6. Find the first derivative of o + 2*p + 0*p - 5*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 1.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -16, 2\/3, -0.1 in descending order.\nAnswer: 2\/3, 0.1, -0.1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 374287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 85*q**2 + 81*q - 111. Let o be l(-84). Solve -111 = 6*s - o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.9 and 175.7?\nAnswer: 1915.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, m: 1}. Give prob of sequence mr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 2*i**2 + 4*i - 3. Let v be z(0). Put v, 4, -2, 0 in descending order.\nAnswer: 4, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18155\/4 and -12\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2947, -5261, -9119, -14521, -21467, -29957?\nAnswer: -39991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44080231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (201\/(-335))\/(1\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2767585454 rounded to 3 dps?\nAnswer: -0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(60)\/(-5*sqrt(24)\/sqrt(2)) - (sqrt(45)\/(sqrt(36)\/sqrt(4)) + -4)))*-5.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 - -495. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - b + 14 = c, 2*b = 4*c - 14. Suppose 5*j = -3*y + 5*y - 30, 12 = -c*j. What is the remainder when 11 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4675535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 36*f = -38*f - 164, -5*k = -f - 264. Calculate the lowest common multiple of k and 234.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -167.9 * -0.7\nAnswer: 117.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 9. Calculate the smallest common multiple of p(-17) and 55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1 in descending order.\nAnswer: 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -3 + 9 - -3 - -20?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 8 + -16 + 17 + 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n - 2*n - 3*n + 2*n - 2 + 2 + (-3*n + 4*n + n)*(-2 + 5 - 2) + 2*n + 2*n - 5*n - 11*n - 25 + 25.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428*a**2*y**2 - 34*a*y**2 + 12*y**2 wrt a?\nAnswer: -856*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*v = -1822, -2*j - 1821 = -5*j - 3*v. Is 18 a factor of (1 - 2)\/((-6)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 - -36286.5957?\nAnswer: 35619.5957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -124\/3, -2, -10\/3, 73\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11229 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: Is 793021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1809\/4 + -460. Find the common denominator of p and -87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 27*s**2 + 30*s - 41. Calculate h(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**6\/720 - u**5\/15 + 39*u**4\/8 - 26*u**2 + 2. Let d(q) be the second derivative of l(q). What is d(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-15)*(-93)\/(-2). Suppose -11 = -4*q - u. Sort 1, q, -1 in increasing order.\nAnswer: q, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.059? (a) 5\/4 (b) 2 (c) -2 (d) 1.3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4540887 divided by -12937?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 122. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6)*3)\/3)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2)\/(-5 + 10 - 7). Suppose 18 = 9*s - c. Let w = -4 - -7. What is the second smallest value in w, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 108841356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/20))**(-11\/5)*(x*x**(19\/5)*x)**(1\/15))**9 assuming x is positive.\nAnswer: x**(249\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 263307 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/9954144 and 127\/288.\nAnswer: 9954144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-728)\/(-60) - (2 + (-501)\/(-45))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 2*k + 4*k - 3*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 7*o**3 - 3*o**3 + 5*o**3 + 3*o.\nAnswer: 9*o**3 + 10*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/3)\/(1560\/(-522) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) -95\/3 (b) 1\/2 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 + 383 - 387*t**3 - 767.\nAnswer: -387*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/9, 0.1, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126003\/47 + -2679. Let k = 3656052\/170281 - 568\/10869. Let n = k + h. Find the common denominator of -31\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*j - 4393 = 382*j - 204*j + 8337 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 + 4*c**2 - 3*c + 9. Calculate u(3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = -2*u, -4*u + 0 - 9 = -5*d. Let s be (4 - 3)*u*(-1 - 46). What is the greatest common factor of s and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + j**2 + 2*j + 1. Let h be a(-1). Suppose 3*s - 9*x + 8*x = 258, 0 = -h*s + 5*x + 440. Calculate the remainder when s is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -6*p + 45. Let z(m) = m**2 + 2*m - 11. Let w be z(p). Suppose w*d + 6 = -2*l, -l - l - d = 0. Solve -2*j = 3 - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 - -0.16. Let a be 4\/(-3240)*(2 - (-2048)\/(-12)). Let w = a - 2\/243. What is the biggest value in w, 1, 4\/3, q?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 84*p**2.\nAnswer: 3*p**2*(p - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24451132 (base 6) to base 13\nAnswer: 21601a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Let a(b) = 4 - 11*b + y + 0 + 9*b**2 + 0. Let f(s) = 5*s**2 - 6*s + 2. What is 4*a(z) - 7*f(z)?\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14724 divided by 23?\nAnswer: -14724\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 7*s**3 + 6*s**3 - 16*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-4)*2\/7 - -3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 + -2 + 2 - (247 + -254)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 7*r\/5 - 12\/5.\nAnswer: -(r - 4)*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-12) + 142457\/282. What is the greatest common divisor of j and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = 9*j - 139. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75964794 - -26.75963644. Let m = 26 - z. Round m to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20848300 divided by -605?\nAnswer: -34460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 798947.84100004 - 798970.841. Let f = c - -23. What is f rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 + 528*w**4 + 7680*w**3 + 29696*w**2.\nAnswer: 4*w**2*(w + 8)**2*(w + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5394 - -16212. Is a a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17125\/14? (a) -0.1 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + 2*sqrt(304))**2 + sqrt(304) - (5 + (sqrt(304) + sqrt(304) + 0 - sqrt(304)) - sqrt(304) - sqrt(304))) + 1.\nAnswer: 8*sqrt(19) + 10940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqoooqqioioo. Give prob of sequence qqio.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let t(q) = -2*q**2 + 3186*q. What is t(n(c))?\nAnswer: -8*c**2 + 6372*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (15\/9)\/1. Let x = 23 + -27. What is the nearest to 0.1 in h, -0.6, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 25 = 5*p, 0 = 5*p - 5*g + 5 + 5. Let y = -9 + 16. Suppose -y = -p*q - 5*s + 7, -q + 5*s = 22. Let x(i) = 4*i + 3. Determine x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 373*h - 1. Let u be w(1). Does 27 divide ((-2)\/(-4))\/(3\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*u = 240*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose 3*i - r - 77 = 0, 2*i - 39 = i + w*r. What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 33. Solve f = -6*s + 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 3*a + 2*a)*(0 - 108 + 50 - 59) as u + w*a and give w.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -656, -613, -490, -245, 164, 779?\n\"Answer: 7*n**3 - 2*n**2 - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24 - -3)\/9 - (369\/(-39))\/(-3). Let m be 2\/(-6)*(-3)\/(-4). Put m, 1\/10, -2, p in ascending order.\nAnswer: -2, m, p, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 0*v - 2*v)*(-4*v**2 - v**2 - 8*v**2)*(-5 + 7 + 0)*(-4*v + 4*v - v) as l*v**3 + t*v**4 + n*v**2 + c*v + k and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 2, n: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 + 0 - (-30 + 12). Suppose 4*t + 3 = 23. Solve t*k = 4*k + 3*v, -g*k - 4*v = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/31 (b) 3\/4 (c) 0.9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + (sqrt(245) - sqrt(5))) + (sqrt(500) - sqrt(500)*-3) + 5)**2.\nAnswer: 2100*sqrt(5) + 24725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 41*c - 439. Let g(w) = -51*w + 438. Determine -4*g(q) - 5*p(q).\nAnswer: -q + 443","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 8\/3*v**3 - 32\/3*v**4 - 1\/4*v**2 + 178*v + 0. Suppose x(s) = 0. What is s?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23360.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 - l - 13. Let d(m) = 5*m**2 + 2*m + 8. Suppose 0 = -5*s - 12*b + 10*b - 34, 0 = -2*s - 3*b - 18. Give s*t(r) - d(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -3423 + 11013. Is 46 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 38 + 222. Suppose -2*k + 0*k - 2*d = -30, -4*k - 5*d = -m. Solve -5*t - 45 = -4*l - 0, 2*t + 4*l = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18*700848\/(-5024)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6*((-22 - (-4)\/2) + 2) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26373 > -1022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:23 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**(-1\/18)\/(w*w**(-11\/4)*w**(5\/14)) assuming w is positive.\nAnswer: w**(463\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316 by -4.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/4495050 and -63\/16?\nAnswer: 35960400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w**5\/7 - 382*w**4\/7 + 10938*w**3\/7 + 309678*w**2\/7 - 53650*w = 0. Calculate w.\nAnswer: -37, -25, 0, 7\/6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, -2, -4, -5 in ascending order.\nAnswer: -23, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3992731 is divided by 535?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156342 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 9*b - 14. Let l be n(5). Let z(m) = -6*m**3 + 5*m**2 + 7*m - 2. Let t(h) = 7*h**3 - 6*h**2 - 8*h + 2. Calculate l*z(i) + 5*t(i).\nAnswer: -i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83145*h**2 - 2*h + 737.\nAnswer: -166290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7914 + 7915. What is the fourth biggest value in 2\/17, 4, d, 2\/7, -91\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 822 and 2758221.\nAnswer: 5516442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(7*d**3 + 22*d**2 + 1 + 21*d**3 - 26*d**2).\nAnswer: -140*d**3 + 20*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*g - 2*g - q, 5*g + 3*q = 138. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42068, 42111, 42154, 42197, 42240?\nAnswer: 42283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y + 9 = 2*c, -y - 13 = -4*c. Put -1, -21, c in descending order.\nAnswer: c, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/60 - m**4\/4 - m**3\/2 - 2*m**2. Let w be b(7). What is the first derivative of -9*j**4 + 2*j**4 + 6*j**w - 3 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -929.54695 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 71*b**2 - 1493*b - 13840. Calculate z(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (51\/(-9))\/(1\/(-15)). Let o = r - 36. Suppose -4*h + 55 = -o. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2707 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 25\/13 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9615 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120 and 81126752?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 85204*v - 907465202.\nAnswer: -2*(v - 21301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 1. Let w be f(2). Suppose 0 = -2*a + w*a + 1. What is the closest to 1\/3 in 0, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1663989 is divided by 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 + 3*l**2)*(-3 - 5 + 6) + 0*l**2 + l**2 + 0*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.619 + 0.319. Let p = -2143402 + 2143392.70127. Let v = a - p. Round v to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536826*y - 1073642*y + 536819*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + (9 - 1) + (370 - 348).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16890946, -16890947, -16890948, -16890949?\nAnswer: -16890950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7038 is divided by 2339.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4\/23, 37\/35, 5\/2, 2?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 17*r**2 + 4*r + 13. Calculate n(6).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 - 35 = b, 5*d = -2*b - 96. Sort b, 7, 3 in ascending order.\nAnswer: b, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.22. Let w = -0.88 + d. What is the second smallest value in w, 2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810 and 162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**5 - 769*r**4 + r**3 + 6*r**2 - 150275*r.\nAnswer: 480*r**2 - 18456*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 103\nAnswer: -3\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23*h**3 + 5*h**2 - 6. Let r(z) = -46*z**3 - 9*z**2 + 11. Let c(n) = 6*r(n) + 11*w(n). Is 7 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2666, -98, -2, 4, 3, 5, -3 in descending order.\nAnswer: 5, 4, 3, -2, -3, -98, -2666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*g + 5*g + 32605, -163025 = 5*l - 5*g. Is 96\/432 + l\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:03 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039123 rounded to six dps?\nAnswer: -0.000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8292.77 hours to minutes.\nAnswer: 497566.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-2 - (-23)\/4)*24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/28*(-40)\/(-6). Let o = b + 23\/12. Factor 1\/4*n**2 - 1\/4*n**3 - 1\/4*n**4 + o*n + 0.\nAnswer: -n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 716660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11060)\/316)\/(165\/(-363)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28749576 is divided by 3194396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8838 divided by 2946\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3711195811 plus 43.4?\nAnswer: 3711195854.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1877*c - 34162 - 191*c + 34157.\nAnswer: 1686*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 36384*r + 13903605.\nAnswer: 3*(r + 395)*(r + 11733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 55, 173, 329, 517?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, o: 1, f: 1, q: 1}. What is prob of sequence oq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*x - 6*w - 75, 75 = 3*x + 4*w. Suppose x*y - 40*y + 15 = 0. What is the closest to 5 in -0.04, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*x - 196*x + 41544 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*m - 16, 0 = -3*m - 2*l + 5 + 3. Solve m = -z + 5*o + 29, 3*z - 29 = 3*o - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 1\/6*r**3 + 0*r**2 + r + 0. Let l(i) = -2*i. What is f(l(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by ((-21)\/(-6))\/(13\/26).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77468 divided by -362?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(700)*-3 - sqrt(168)\/sqrt(6))**2*-5.\nAnswer: 358400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -33*m - 65. Let h(a) = -32*a - 80. Determine -7*b(s) + 6*h(s).\nAnswer: 39*s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000659084 to five decimal places.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*u = 0, 296*o - 3*u = 572*o - 289*o + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.58 + -4.47505. Round y to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*d**3*g**2 - d**3*g - 7*d**3 - 4*d**2*g - 49*d**2 + 2688*d*g**3 + 49*d*g**2 + 226 wrt g?\nAnswer: -100*d**3 + 16128*d*g + 98*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11220 (base 3) to base 16.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*u - 22. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137946498 and 22?\nAnswer: 1517411478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*b - 2*z + 15, -3*z + 13 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.04 (c) -660\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12382 by -8.\nAnswer: 6191\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = -9405 + 2811. Let m = c - -526. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -111, -168?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 8 - (-2 + -3) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -977 + 1444. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7 - 118 = 0. Solve -3*j - a = -8*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 9*o - 13*o. Solve -o = v - 2*s, -v + 4*s - 17 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/3)*f*f**(11\/2)*f**(-6\/5)*f**(2\/3) assuming f is positive.\nAnswer: f**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1\/2 (c) -1\/5 (d) 0 (e) -2\/80107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -76. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 12 + 16)*(-308 + 309 - 374*h - 252*h)*(0*h - 2*h**2 + 0*h) to y*h + x*h**2 + n*h**3 + i and give n.\nAnswer: 16276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 times -2726.34?\nAnswer: 201749.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 - 3*c + 3*c**4 + 11*c wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/12 + 7*n**3\/2 - 4*n**2. Let p be f(0). Let b be (-7)\/p + 37\/3. Solve -l = -5*l - b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2396, -2414, -2466, -2570, -2744, -3006, -3374, -3866?\nAnswer: -4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 221?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430 - 261. Let h = r - -699. Is h at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2. Let u(n) be the third derivative of 43\/60*n**5 + 8*n**2 + 0 + 0*n**4 + 0*n**3 - 2*n. Determine x(u(y)).\nAnswer: -5547*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1134 + -9145\/8. Let i = 54 + -527\/10. Let l = i + -104\/55. Calculate the common denominator of l and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 11*f**2 + 0*f**2 + 26 to u + c*f**2 + y*f and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -32*a**2 + 28. Let s(v) = -86*v**2 + 2*v + 85. Calculate -8*n(b) + 3*s(b).\nAnswer: -2*b**2 + 6*b + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 84, 32, -110, -372?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124617 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-81))\/((-2)\/(-18)). Suppose -2*l + 94 + 76 = 5*n, 3*n - c*l = 123. Suppose -w + 2*v + n = 7*v, 3*w - 72 = -3*v. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/25)\/(-3 + 1081\/345)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/18 + 5\/18. Let z = 4 - 6. Let r = -3 - z. Which is the nearest to r? (a) 5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:22 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Let z = -3.05 - -0.05. Let p = -8 - z. Which is the closest to -0.2? (a) p (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12536 and 5.\nAnswer: -62680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32035.83003 - -32036. Let o = -2.1 + 1.93. Let m = b + o. What is m rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -0.29 (b) 3 (c) 0.5 (d) 0.26 (e) -2\/7 (f) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 1 - (-5 + 3)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/(-4636) - (-1582)\/122.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/756)\/4*((-168)\/(-2))\/14.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9523836 to the nearest integer?\nAnswer: 3086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1014?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133*43091.\nAnswer: 5731103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 2. Let o(r) = -4*r - 3. Let w(s) = 4*s + 2. Let t = -25 - -19. Let f(j) = t*w(j) - 7*o(j). Give -18*c(i) + 4*f(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151\/390 - 7\/30. Let j = -3.88 - -3.6757. Let p = j + 0.0043. Which is the third biggest value? (a) -2\/19 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 13*r + 5. Let g(c) = -c**2 + c. Let h(b) = 6*g(b) - j(b). Let l(u) = -5*u**2 - 8*u - 6. Let o(a) = -6*h(a) + 5*l(a). Give o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 2, l: 1, d: 2, p: 1}. Give prob of sequence de.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -11. List the prime factors of 39*-1*(3 + o).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i*i**(-5))**(3\/4)\/((i**0\/i)**(-12\/7)\/(i**(-3)\/i**(1\/4))) assuming i is positive.\nAnswer: i**(-129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6389, 3, -3, -0.1, -1, -2 in decreasing order.\nAnswer: 3, -0.1, -1, -2, -3, -6389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -517 - -522. Solve -3 = 2*k + z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - c**2 + 2*c - 1. Let a be p(1). Let q(b) = -b. Let i(r) = -3*r + 1. Let v(k) = a*i(k) - 7*q(k). Does 6 divide v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsxfsmsmff. Give prob of picking 1 b and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4357261 - -1.4.\nAnswer: -4357259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(75))**2 - (sqrt(75) + ((1 + sqrt(75))*6 + sqrt(75) - sqrt(75))).\nAnswer: -35*sqrt(3) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - 3*p)*(6*p**2 - 2*p**2 - p**2 + p**4).\nAnswer: p**5 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1742594 and 83\/189.\nAnswer: 47050038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48\/32*(-40)\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -36, 11 - 13 = -4*x + 5*j - 10*j + 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2*w + 2. List the prime factors of c(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547331243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - 0 - (1 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(2\/13)\/(u**(-1\/6)\/u**(3\/5)) assuming u is positive.\nAnswer: u**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/11)\/(2\/((-2)\/(8\/(-4)))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = y - 4*i, -y + i - 276 = -218. Let x(c) = 17*c**2 + 3*c + 2. Let l be x(-2). Let f = y + l. Solve -h = 2*b - f, -h + 3*b = -5*h - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 35 + 22. Let x = h + 23. What is the first derivative of 9 + 3*s**x + 9 - 4*s**4 + 7*s**4 wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346524137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 2*s - 0*s, -5*h + s = 10. Let a be 0 - -1 - (h + -6). Suppose 571 = a*t - 302. What are the prime factors of t?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/827253 and -95\/3033261.\nAnswer: 9099783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**3 + 7*g**2 + 7. Suppose -4*q = -7*q - 21. Let x(k) be the first derivative of -3*k**4\/4 + 4*k**3\/3 + 4*k - 1. What is q*x(b) + 4*r(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 689*h**3 - h**2 - 8 wrt h?\nAnswer: 4134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 7. Let y be 110\/20 + 2\/4. What is the remainder when 25 is divided by b(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(4\/(-8)). Find the first derivative of -3*v**3 + 2 - v**3 + 1 + f wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 24 = 2*h + h, -20 = d - 5*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111187 + -111185. Factor -8 - 44\/5*s - 4\/5*s**d.\nAnswer: -4*(s + 1)*(s + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 3*z + 0*z - 4*z + 3*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4182 and 12543294.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = -5*y, 5*y - v = -0*v - 3. Let a be (2 - -1) + 0 - y. Is a - 68*4\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmlqmqmmmzwqwlqq. Give prob of picking 1 z and 3 w.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 - 5*r**2 + r**2 + 0*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 48*h**2 + 9*h + 17. What is the units digit of c(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 85 = 0. Let l = p - 3. Let r = 25 + -7. What is the least common multiple of l and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*o - 40 + 5, -12804*c - 4*o = -12802*c + 12 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -716836 by 210.\nAnswer: -358418\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7000808, 14001611, 21002414, 28003217, 35004020, 42004823?\n\"Answer: 7000803*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 48*n**2 + n - 1. Suppose m + 2 - 3 = 0. Let l be f(m). Let y = l + -20. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v + 3. Let g(q) = q**2 - 16*q - 2. Let b(y) = 3*g(y) + 2*w(y). Find the second derivative of b(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*p - 110*p + 2329 - 817 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. What is the remainder when 37 is divided by ((-39)\/(-6))\/(o\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**6\/s))\/s**(3\/2)*(s*(s\/(s\/(s**1*s)))\/s*s)**42*(s*s**(-1\/3)*s\/s**(-6))\/(s**(-2\/7)*(s**4\/s)\/s*s*s) assuming s is positive.\nAnswer: s**(5227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -20040665?\nAnswer: -20041001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 28 = 3*a, 4*j - 23230*a = -23235*a - 34 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39434440, -39434433, -39434426, -39434419, -39434412, -39434405?\nAnswer: -39434398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15592129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 194264970 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76895*a**5 + 4225*a**4 - 3705*a**3 + 355*a**2 - 10*a.\nAnswer: 5*a*(7*a + 2)*(13*a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4768568 and -7.9.\nAnswer: -37671687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6090383?\nAnswer: 13, 468491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1174.7 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 14*u**2 - 6*u + 12. Let i be z(-15). Let q = i - -176. Let t = q - -107. Calculate the greatest common factor of t and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10\/17*z**4 + 752\/17*z**2 + 672\/17 - 1184\/17*z - 192\/17*z**3 + 2\/17*z**5 = 0. What is z?\nAnswer: -14, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*((-40)\/(-12) - 4). Let k be (-9 - -12)*u\/(-6). Calculate the highest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679 is divided by 526.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1.1, 5, 15, 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:56 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13110 (base 13) to base 15\nAnswer: a709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 631, 28, -3.\nAnswer: -3, 28, 631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0753 + -0.0247. What is the closest to w in -1, 2\/315, -3?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -84 + 18?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 284.6746 millennia?\nAnswer: 2846.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899567251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {x: 13, y: 1, m: 3, j: 2}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36433*t = 34699*t + 105774 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 47*m - 5. Calculate the remainder when a(1) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.6, 9, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y - 1. Let r(g) = 5*g - 2. Let z = -37 + 39. Suppose 0 = -b - z + 1. Let u(f) = 1. Let c(o) = b*r(o) - 2*u(o). Give -5*c(a) - 2*k(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807998.\nAnswer: 2, 3, 301333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + b. Let y be o(1). Let j(f) be the third derivative of 0 + 1\/210*f**y + 2\/21*f**3 - 1\/28*f**4 - 2*f**2 + 0*f. Factor j(d).\nAnswer: 2*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 21*q + 14. What is the second smallest value in -1\/4, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1330 + 284.23.\nAnswer: -1045.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65061246?\nAnswer: 2, 3, 10843541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 2. Let x be k(5). Let y(m) = -3 + x*m**2 + 0 - 1. Let n(p) = 6*p**2 - 3. What is -5*n(v) + 4*y(v)?\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 8, o: 1, i: 7}. What is prob of sequence cco?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:28 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(128)*2 + 0 - (5 + sqrt(128) + 1 - sqrt(128))) + 5 + 4 + 2*sqrt(128))*-2)**2.\nAnswer: -512*sqrt(2) + 8208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 3*t - 10. Let q be u(-5). Let c be -1*(q\/5 + -720). Suppose 3*x - c = -2*x. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48460 in 2\/7, 2, -2\/3, 0, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26243190.\nAnswer: 2, 3, 5, 179, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5 = 2*o - 33, 0 = -4*v - 5*o + 40. Suppose -v*l = -4*g + 3, -2*g - 24 = 3*l + 3*g. Is l >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 12 = -3*u, 17*u + s = 12*u - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105620*f**3*s + 239820*f*s wrt f.\nAnswer: 633720*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 20. Let j = a - 14. Suppose -f - 2*f = 0. What is the nearest to 1 in f, j, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -22. Let p = -4 + c. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2939*v - 9544*v - 581332 = 4535*v - 2929816 for v.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-70))\/3*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/13)\/((-2)\/2*3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-8)*0 + 3. Let r be 21\/(-14)*(-1)\/m. Suppose -4*p + 12 = 4*y, 4*y - 2*p + 15 = 3*p. Is y <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 h when four letters picked without replacement from ebhpe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 4, 17 in decreasing order.\nAnswer: 17, 4, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/24 - 65*s**2. Let b(f) = 17*f**2. What is g(b(l))?\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 25411538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 + 441*b**3 - 446*b**3 + 10*b**2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -205, -1752, -5985, -14248, -27885?\n\"Answer: -224*x**3 + x**2 + 18*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10967.1 - 10967. Suppose -3*u = -7*u + 4. Let h be (-3 - -7)*u\/6. Is h greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 16292 - 16412 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299 - -331. Suppose 9504 = -10*y + k*y. Is y a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8 - 7\/14) + 68416006\/8. Round j to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5 + 19. What are the prime factors of (1780\/(-40))\/(1 + 10\/d)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 93900006 = -0*j - 3*j, -31299992 = -j + 4*n. Round j to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100*k**5 - 2030*k**4 - 1146*k**3 - 224*k**2 - 8*k = 0. Calculate k.\nAnswer: -1, -2\/5, -1\/22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716 times 239?\nAnswer: 888124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 67, 256, 625, 1234, 2143, 3412, 5101?\nAnswer: 7270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 558513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-75)*(-15080)\/(-6032).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5)*(-5)\/(-533). Let f = g + -1096\/7995. Let v = 3\/1421 - -1412\/4263. Which is the nearest to v? (a) 3 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -203 or 419\/68?\nAnswer: 419\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3 + 4113*w**2\/4 + 257*w = 0?\nAnswer: -1028, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652123 bigger than 1652122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7072.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w - 5*m + 45, -2*w + 6 = 4*m. Let s(k) = 351*k**2 + 81. Let a(z) = -22*z**2 - 5. Give w*s(t) - 81*a(t).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = a. Suppose -u + a - 4 = 0. Solve 4 - 10 = -u*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:06 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*d + 27*d. Let r(n) = n**3 - 9*n**2 + 9*n - 6. Let t be r(8). Solve -t*x + d = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gqggggggggqg?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000246997736 rounded to seven decimal places?\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*y - 4*x - 12, -4*y = -3*x + 3. Let p(a) = -a**3 + 6*a**2 + 9*a - 10. Let k be p(6). What are the prime factors of 140\/k + y + (-3472)\/(-22)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69623*n**2 + 62455?\nAnswer: -139246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/(3\/(-3))*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = -5*s + 190 - 105 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 9*s**2 - 11*s - 5. Let w(z) = z**3 + 5*z**2 + 5*z + 2. Let x(y) = -2*b(y) - 5*w(y). Let n be x(-12). What is n rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 0)**2 + ((sqrt(17) - sqrt(425))*-1)**2 - (5*sqrt(102)\/(-3*sqrt(18)\/sqrt(3)))**2.\nAnswer: 5848\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*z**3 + 4*z**2 - 11*z - 87732?\nAnswer: 222*z**2 + 8*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 + -111. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6063717 to the power of 1\/2, to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4144 + 4180 + -43 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572 = -168*r - 107*r - 3203 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r - 2*r + r)*(0*r + 2*r + r)*(2*r**2 + 2*r**2 - r**2) to the form g*r**4 + b*r + p*r**3 + t*r**2 + q and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364604055?\nAnswer: 3, 5, 24306937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, e: 15}. What is prob of sequence eree?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*s = 23, -s + 11 = p + s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 14*f - 41. What is y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -87a (base 15) to base 4\nAnswer: -131323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -39*a + 29. Let z be v(-15). Suppose z - 1944 = -x. What is x rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*(-9)\/6. What is the tens digit of ((-12)\/(-4) - 54)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 10. Let c be ((-6)\/9)\/(t\/(-3)). Let u be 4 - (0 - (-26)\/6). Is c greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2847 - -2916. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 4*q**2 - 3*q - 7. Let d be x(5). Suppose -d*w - 2*l + 15 = -13, 3*l - 3 = 2*w. Suppose w*v - 3*v = 5*r - 2036, 4*r - 1639 = -v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbjwbwbbwwwbdcdbwbwb. What is prob of picking 1 d, 1 b, and 1 j?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142833099.\nAnswer: 3, 17, 131, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20 = 5*y - y, -4*u + 2*y = -30. Let g be (84\/48)\/((-2)\/u). Are g and -7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(5*k + 3*k - 5*k) - 20*k + k + 4*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 2, n: 5, y: 2}. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262 - 38*g**2 + 258 - 57*g**2 - 154*g**2 + 19*g**2 to p + c*g + t*g**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -16. Let l(h) be the second derivative of -h**4\/8 - h**2 - 2*h. Let o(n) be the first derivative of l(n). Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 12*d - 13. Determine f(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2. Let t(d) = 2*d**2 + 48138*d - 2. Determine t(f(a)).\nAnswer: 128*a**4 + 385104*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120876, 241547, 362216, 482883, 603548?\nAnswer: 724211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -237*y**3 - 8*y**2 - y - 4. Let s(z) = -2*z**3 - 2*z**2 - 1. What is -l(p) + 4*s(p)?\nAnswer: 229*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdjod. Give prob of sequence ow.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160 - -160.0000093. What is l rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -711.\nAnswer: 14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9115, 72656, 245129, 581002, 1134743, 1960820, 3113701?\n\"Answer: 9078*j**3 - 2*j**2 + j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + 4. Suppose 2*y = 2*n + 42, -n - n - 5*y - l = 0. Let q = 5 - n. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128611 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13673*j**2 + 13673*j**2 - 23*j**3.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:31 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*o = 1 + 14, -14*u = 5*o + 37 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -319*u - 5 + 328*u + 4. Let h(d) = -4*d + 1. Calculate 5*h(r) + 2*j(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) 380 (c) 2 (d) -0.1 (e) -3\/7 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1805*o - 3585. Give d(4).\nAnswer: 3635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (-2*sqrt(390))\/sqrt(10))\/sqrt(3).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28202*z**3 - 338081 wrt z?\nAnswer: -84606*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 20*g - 261. Let j be y(15). Let k = j - -723. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)*u*u*u**(6\/5))**(4\/23)\/(u**(2\/5)*u**(1\/3)*u*(u*u*u**(-1)\/u)**(1\/16)) assuming u is positive.\nAnswer: u**(-451\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39479 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 13. Let z be f(-13). Suppose -3*t = 5*y - 205, 316 = -z*t + 4*t - 4*y. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -114*g - 108. Let f(s) = -56*s - 53. Determine -7*f(d) + 3*z(d).\nAnswer: 50*d + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 205 = 660. Let y be (-58)\/(-4) + 36\/(-24). What is the highest common factor of y and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 + 0 = -3*l, 0 = 4*y - 5*l - 1206 + 1199 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*((6\/2)\/(32\/((-864)\/(-81))))\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80187*c**2 - 80178*c**2 + 160366*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 6141.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let i(x) be the first derivative of 4*x**3 - 1 - 2 - 2*x**3 - x**3. Determine i(d(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -126?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610696?\nAnswer: 2, 3, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i + 7 - 2*i - 4 + 0*i - i. Give l(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foiz when four letters picked without replacement from oozfifofozooooofo.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*c - 3, -7*c - 114 = 5*i - 99 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-3)\/(-14) - 42\/(-147)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 214\/3209 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*(v*(v\/(v\/(v*v**(-1)\/v)))\/v)\/v*v))\/(v**(-1\/8)\/v))**9 assuming v is positive.\nAnswer: v**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 3 = -32*y. List the prime factors of y\/(2214\/(-8190) + 4\/14).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((15\/(-80))\/((-1)\/4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10439971?\nAnswer: 29, 599, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167 and 321308.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3509 and 2929.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -1\/5, 2\/11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7600, 7626, 7702, 7840, 8052?\n\"Answer: 2*n**3 + 13*n**2 - 27*n + 7612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*c**2 + 82*c + 56*c - 29*c + 54*c - 31*c in the form g + d*c + s*c**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 147. Calculate the remainder when d is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.608 and -0.09.\nAnswer: -0.32472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (7 - -6) - 3529. Round n to the nearest ten.\nAnswer: -3520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92938 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 7*r + 134 - 58 = 0, -25*p - 16*r = -23*p + 120 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -19\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 149*g + 47. Give d(1).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4 + 388524*v**3 + 18858367690*v**2 - 1019506486872*v - 1038364466040 = 0.\nAnswer: -97158, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5447485mm?\nAnswer: 0.05447485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -2*d - 4*a, -2*d - a + 72 = -64. Calculate the highest common divisor of 28 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*j**4 + 9*j**3 - 623*j**2 - 21506*j - 165 wrt j.\nAnswer: 2292*j**2 + 54*j - 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6649)\/(-9) + (1 - 28\/36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39997440.\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 + 38*a**3\/3 + 160*a**2 - 600*a.\nAnswer: 2*a*(a - 3)*(a + 30)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qid when three letters picked without replacement from ndddiqdqdqdd.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(5\/2)\/p*p*p*((((p**1*p)\/p)\/p)\/p)\/p*p*p**1\/(p\/(p**(-1\/11)\/p)) assuming p is positive.\nAnswer: p**(53\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8808091027 + 1374.\nAnswer: -8808089653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5, 2*v - 5*v + r + 7 = 0. Suppose -2*s = 8, -4*s + 782 = v*d - 534. Is 37 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9) - -5*(-2)\/(-24)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1371 + -1263. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 38*y + 234. Determine p(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(143) + sqrt(143) - sqrt(143)))\/(sqrt(110)\/(sqrt(40) + sqrt(10))).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c**2 + 39*c. Let j(h) = -3*h**2 - 8*h. Let o(b) = -11*j(b) - 2*r(b). Is o(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636879664 to the nearest integer?\nAnswer: 25236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719336945.\nAnswer: 5, 3407, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(-2 + 4 + 1)*(d - 2*d + 3*d).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-15))\/(18\/315). Let k(p) = p**2 - 3*p - 150. Let t be k(l). Solve q - 5*v + 45 = -t*q, 3*v - 32 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(6\/11)\/n**(7\/6) assuming n is positive.\nAnswer: n**(-41\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbpasabsdpza. Give prob of picking 2 p and 2 b.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 96 = -r. What is the common denominator of -83\/4 and (-2*26\/744)\/((-2)\/r)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 4 = 15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8919*m - 187470. Give g(21).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((0 + sqrt(300))*-3)**2 - ((-2 + sqrt(300))**2 + 2 - -5*(1 + sqrt(300))))*-3.\nAnswer: -7173 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/13 + 12418*m**3\/13 - 2*m**2\/13 - 12418*m\/13 = 0. What is m?\nAnswer: -6209, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334685 + 92336 = -4771*b + 8871 + 12615 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -347, -660, -965, -1262, -1551, -1832?\n\"Answer: 4*d**2 - 333*d + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 196802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4 - 18)*(3*y + 3*y - 8*y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 262140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764505535?\nAnswer: 5, 379, 403433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 64, 8, -108, -284, -520?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 119 - 119. Let r(z) be the third derivative of -z**6\/360 - z**3\/2 - z**2. Let p(l) be the first derivative of r(l). Give c(p(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -37 - (-14 + -49) - 28. Suppose 2*l + 5*r = r - 22, -2*r = 5*l + 15. What is the nearest to l in 11, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**2 + 466*p + 1210. What is b(49)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 1137766 + 11324234. Round w to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*l + 35*l - 406. What is the remainder when l is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -76, -137, -192, -241?\n\"Answer: 3*m**2 - 76*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.65 + -0.05. Let i = n + -0.5. Let a = 3 + -8. What is the second smallest value in a, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4 - 2*p**2)*(438 + 491 + 596) to the form f + u*p + w*p**2 and give f.\nAnswer: -3050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10f65d (base 16) in base 12?\nAnswer: 457391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*o. Suppose 6 = o*h - 56. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u - 406. Calculate g(-18).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 + -265. Does 91 divide -5*4\/(-8)*244\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3190\/35)\/(-22))\/((-47)\/141*6\/14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 12. Let t(n) = 3*n + 11. Determine -6*t(s) - 5*v(s).\nAnswer: 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - -27) + -61 + -12 + (-1 - 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 1 t when three letters picked without replacement from {z: 2, t: 8, g: 5, i: 2, a: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1712, 6970, 15778, 28136, 44044, 63502?\n\"Answer: 1775*a**2 - 67*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-192)*6\/(-3). Let g(l) be the third derivative of 0*l - 3*l**2 + 1\/480*l**6 - 1\/80*l**5 - 1\/24*l**3 + c*l**4 + 0. Determine s, given that g(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:58 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weikwooerioe. What is prob of sequence or?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -5751\nAnswer: 97767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 7*j + 198. Suppose -7*l + 10*l = j. Suppose l*v - 120 = 29*v. Find the common denominator of 19\/36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 4*p = -43, 10 = -4*j + 24*p - 25*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbhbhhhhhhh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007879 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 30. Calculate the highest common divisor of 70 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from {s: 1, h: 1, i: 2, v: 2, t: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 - 497 + 154)*(-2*f - 4 + f - 10*f**2 + 3).\nAnswer: 1460*f**2 + 146*f + 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2 - 2 - 2*f + 3*f - 2*f + (f + 2*f - 5*f)*(-2 + 5 - 4))*(1 - 7 + 5 + (-6 + 4 + 4)*(3 - 1 + 0) + 3 + 1 - 3) as n + r*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 11. Let a be h(8). Suppose 9 = -p - 2*y + 24, p = -a*y + 18. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 60\/11, 0.5.\nAnswer: -1\/31, 0.5, 60\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*2 + (-1*sqrt(9072) - sqrt(9072)))\/((sqrt(9) + (-1*sqrt(144) - sqrt(144) - sqrt(144)) + sqrt(144) - sqrt(9))*-1))**2.\nAnswer: 567\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 56 = 2*u, -33 - 3 = -2*t + u. Let y = t + -12. Let q = -1 - -4. Solve q*w = y*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-625 - 95 - 309)*(3*i**3 + 4 - 4) in the form q*i**3 + m*i**2 + t*i + z and give q.\nAnswer: 3087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*m - 11, 0*m - 4 = -2*m. Let r be 2*49\/(-6)*j. Is r bigger than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-12)\/(-8))\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/20 + 5*a**4\/12 - 2*a**3\/3 + 2*a**2 - 3*a. Let u be j(4). Solve -2*o = 2*i - 4*i - 6, -5*i - 13 = -u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2063000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*a - 1 + 3 = 0, -3*a + 7 = l. Let b be l\/15 - (-1284)\/(-270). Let j = 103\/18 + b. What is the nearest to -0.2 in 5, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 52*w**3 + w**2 - 1 + 0*w**2.\nAnswer: 52*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22043*k + 22089*k - 1564 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208.275 + 8.525. Sort l, -1, -2\/13 in decreasing order.\nAnswer: l, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1722 + -1722. Suppose 5*p - 2*x + 88 = 0, -6*p - 2*x = -p + 72. What is the remainder when 9 is divided by 20 + p - ((h - -2) + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*k - 9, k + 6*v = v - 27. Let i be k + (0 + -3)\/((-18)\/(-12)). Put i, 5, -1, 3 in decreasing order.\nAnswer: 5, 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5400769, -10801542, -16202315, -21603088?\n\"Answer: -5400773*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*p + 13 + 19, 5*u - 3*p - 23 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 674 or 31065\/46?\nAnswer: 31065\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -3*w**3\/2 + 11*w**2\/2 - 11*w. Calculate the remainder when t(-4) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-6) + 2\/6. Let c = -14 - -24. Let p = v + c. Solve 2*o - p*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*f + 5*f + 10 = 0, o + 19 = -5*f. Suppose -3 - o = -2*a. Find the third derivative of b**2 - 3*b**2 - 2*b**6 + 0*b**2 + 0*b**a wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 145*u**2 - 3*u + 89. Let k be r(-12). Suppose -y + 2*o + 4201 = 0, 5*y - 6*o + 2*o = k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*z + 167 - 58, -2*q = -z + 23. Solve -7*f + 11*f + 12 = 0, -3*f = 3*s + z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 32, 23, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6197 and 13476922.\nAnswer: 13483119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4900926 plus -0.05?\nAnswer: -4900926.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 5*z. Let u be q(-5). Let r be (-84)\/(-715) + 84\/(-546). Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255618711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17.1 and -3129.1.\nAnswer: -3146.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41835*l*v**3 - 9*l*v**2 - 459*l*v - 2*l - 123*v**3 - 5*v - 18 wrt v?\nAnswer: -251010*l - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3253 times -0.3\nAnswer: -975.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*k + 5*c - 7*c, 9 = -4*k - 3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2375 - -2374. Let v = -0.1 + 0.1. Let t = v - 3. Which is the closest to 2? (a) -0.3 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + r - 70 = 0, 51*p - 3*r = 56*p - 118. Solve -p*l = -25*l - 4*z, 2*l = -5*z - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20) - 19950\/(-3500)) + (2 - 3).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103\/294 - -9\/49. Which is the second biggest value? (a) -3\/4 (b) -36 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302289?\nAnswer: 37, 61, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -521*x**3 - 15*x**2 + 0 + 0 - 17*x**2 - x + 30*x**2 in the form z*x**3 + m*x**2 + r + j*x and give z.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 508, 1114, 1958, 3040?\nAnswer: 4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 21*a - 209. Give c(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000308 to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 + 52 + 14*d**5 + (144 - 144 + 6*d**3)*((-4 - 2 + 4)*(0*d - d**2 + 0*d) + 3*d - 3*d + 2*d**2).\nAnswer: 38*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(2*(sqrt(396) + sqrt(396)*-2) + sqrt(396) + -2 + sqrt(396)*-1))**2.\nAnswer: -343008 - 10368*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 5075*x\/2.\nAnswer: -x*(x + 5075)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7895 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/11)*b\/b**(-2\/7)*b**(-5)\/((b\/b**1)\/b) assuming b is positive.\nAnswer: b**(-146\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 10 (c) -0.5 (d) 1 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4674057, -4674040, -4674011, -4673970, -4673917?\nAnswer: -4673852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**3 - j**2 - 1. Is x(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 3957949?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 463488783 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (2 + 0\/(-2)). Let d(h) be the third derivative of h**6\/120 + h**5\/60 - h**4\/8 - h**3\/2 - 296*h**2. Calculate d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/7 + (-12)\/42. Solve -17*c + c**u - 4*c**5 + 17*c = 0.\nAnswer: -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2880904 divided by -26.\nAnswer: -110804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + f - 5. Let g = -76 - -92. Suppose -97 = -g*a + 63. Calculate the least common multiple of h(-4) and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quubuuquubqbuuqu. Give prob of picking 1 u and 3 b.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -4, -3.\nAnswer: -4, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1 + s - 3 - 3 + 3. Let t be f(8). Put t, 3, -3 in decreasing order.\nAnswer: t, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4648812792539 + -0.08.\nAnswer: 4648812792538.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*w**3 + 1044*w + 64065 with respect to w.\nAnswer: -75*w**2 + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14122112 - 3?\nAnswer: -14122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -68, -9, 52, 115, 180, 247?\n\"Answer: p**2 + 56*p - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from xxuu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44340 (base 10) to base 7\nAnswer: -243162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(7)*1)\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/32 and -43\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -40, -5\/6 in increasing order.\nAnswer: -40, -5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7. Let p be (-29)\/((2 - 3)\/v). Suppose p + 1 = 2*s. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/150673 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122210 (base 3) to base 14.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*j**2 + 397 - 397.\nAnswer: -164*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**5\/40 - d**4\/6 - 5*d**3\/12 - d**2\/2 + 3*d - 1. Let n(p) be the first derivative of y(p). Determine o so that n(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 58*i**2 + 46*i + 446. Determine o(30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 + 1998*z - 52700 with respect to z.\nAnswer: 4*z + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 26*y\/11 - 84\/11.\nAnswer: -2*(y + 6)*(y + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4425 - 776. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = i - 7, -5*i + 3 = -4*t. Suppose t*d - 2*k - 106 = 0, 5*d - 2*d - 109 = -k. What is the highest common divisor of 16 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129490 and 128741210?\nAnswer: 5630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/2*t**3 - 2*t + 6*t**2 + 0 = 0. Calculate t.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-4*g + 2*g + 4*g)*(-14 - 20*g - 19*g + 41*g).\nAnswer: 4*g**2 - 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) + (sqrt(378)*2 - sqrt(378)))\/(sqrt(30)\/sqrt(5)*-2))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13 = -23. Suppose -2*c = -x - 18. Let r(v) = 3*v + 1. Let n be r(1). Solve c = -n*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -36. What is the highest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 11)\/(-2*(-3 + 2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0608137 and -0.54.\nAnswer: -0.6008137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + -13 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 2*d**2 - 2*d**2 - 4*d**2 + 16*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h + 4. Calculate the remainder when 97 is divided by n(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 - z. Let n = 2151 - 2147. What is a(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 - 2*p**4\/3 - p**3 + 3*p**2\/2 - 7*p - 4. Suppose q + q - 18 = 0. What is the units digit of n(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and -2301.632.\nAnswer: -2301.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/9)*j**(1\/4))**(-10\/7)*((j**(2\/3))**36)**(-1\/2) assuming j is positive.\nAnswer: j**(-1537\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2 + 21124*s - 21126 = 0.\nAnswer: -10563, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 4. Let d be m(-7). Solve -d*c = -4*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1729 and 1.114?\nAnswer: -1926.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4382 (base 10) to base 5\nAnswer: 120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298258003 = 16*d + 138061997. Round d to the nearest 100000.\nAnswer: -27300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77))*4 + (2*sqrt(77) - sqrt(77))*-6)\/((-1*sqrt(5082))\/sqrt(6)))**2.\nAnswer: 676\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593495 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 22. Let n be (-4758)\/(-27) - (-6)\/f. What is the common denominator of ((-26)\/(-5))\/(n\/385) and 43\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67924 less than -0.0611471?\nAnswer: -67924.0611471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 30. Solve 3*b - s + 14 = 0, 5*b + d = 4*s + s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22820 divided by -2282?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) 2 (c) 0.3 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - d = 4, 2*r + 5*d + 1 = 2. Suppose 4*z - r*z - 5 = 0. Suppose -4*u + 5*s = -6 - 10, z*s - 56 = -4*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -192*m**2 + 7857*m + 608. Determine j(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26230 bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 84227, -2, -2261 in ascending order.\nAnswer: -2261, -2, 84227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*sqrt(297))\/((sqrt(176)\/sqrt(4))\/sqrt(4)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 20*t**3 + 71*t**2 + 134*t + 55. Let g(m) = 7*m**3 + 24*m**2 + 45*m + 18. Let a(i) = 6*b(i) - 17*g(i). What is the tens digit of a(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7c6 - 1?\nAnswer: -a7c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 604.786 in -0.09, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 4*p + 2. Let f be c(-2). Solve 2 = n - 3*m, 0 = -m + 6*m + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 814.5163 decades?\nAnswer: 8.145163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 28090*k + 28065. Calculate f(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 853\/2541 - 2\/847. Let x = -0.1 - -0.3. Let b = -0.4 + x. Is y > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 16*q**2 - 6*q**2 + 4*q**2 - 2*q**3 - q + 1 to the form y*q**3 + p*q + h*q**2 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 235.1 - 235. Which is the closest to -0.22? (a) 4 (b) v (c) 1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0 + 3*q**2 + 0*q**3 + 0*q - 37\/24*q**4. Let v(j) = 2*j. Calculate c(v(a)).\nAnswer: -74*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4, -16 = -j - 4*z + 16. Calculate the remainder when 41 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + 56\/16. Suppose p + 64 = l*p. Suppose -p = -i - 16. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/15 + d**2. Let k(g) be the third derivative of -g**4\/12 - 36*g**2. What is k(n(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 7*b - 22. Let y be v(9). Let m = -2863\/2 + 1430. What is the nearest to 1\/4 in -7, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-9 + ((-14 - -6) + 0 - -14)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2576, -5289, -8006, -10727, -13452, -16181?\n\"Answer: -2*n**2 - 2707*n + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0 + 1) - 5. Suppose -2*i = -2, -2*q + 4*q - 3*i + 1 = 0. Sort 0, q, f.\nAnswer: f, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9 = -5*a, a - 1 = 4*h - 3. Let c = 3 - h. Suppose 7 = s + c*w, 0*s = s + 3*w - 3. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t + 12 = 0. Let k(a) be the second derivative of 7\/6*a**3 + 0 + 1\/12*a**4 + 2*a**2 + 5*a. Calculate k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4531751969?\nAnswer: 17929, 252761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(48))**2 + -4.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/31 (c) 2\/11 (d) 11 (e) -9 (f) 0.2 (g) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - -2) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 2. Let g be t(6). Let r be 2\/3 + g\/6. Solve r*f = -4*s - 24, 3*f + 15 = -0*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143011, 143006, 143001, 142996?\n\"Answer: -5*r + 143016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -38.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:44 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t**5\/5 + 3554128*t**4\/5 + 27418438*t**3\/5 - 11678096*t**2\/5 - 27418424*t\/5 + 8123968\/5 = 0. Calculate t.\nAnswer: -8, -1, 2\/7, 1, 253874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -70388 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106160\/76440*-13 + 18)*7\/(-2).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-153) + 28575\/255. What is the highest common factor of 32 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28452 by -6.\nAnswer: 4742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28528*l**2 - 14267*l**2 - 34*l - 60 - 6*l + 15 - 14263*l**2 to b*l + p + w*l**2 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 (base 13) in base 7?\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -11*m + 39. What is the highest common factor of m and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 85*s**2 + 34*s. Let a(o) = -o**2 + o. Let d(p) = -34*a(p) + q(p). Let h(y) = -y**2. Calculate d(h(w)).\nAnswer: 119*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {h: 2, z: 3, e: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - u - 1 = 0, v - 18*u = -14*u + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + 0.14. What is the second biggest value in -2, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34\/29 - 1035\/116. What is the common denominator of -12*(-2)\/13 + (-105)\/210 and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2478 - -0.0478. Let o = -39.6 - -36. Let g = 4 + o. Which is the closest to -0.1? (a) g (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -11, -1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 7 (c) 2\/9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/3 - 10\/2. Let n be (1540\/5)\/d - 6\/2. Let m = 101 + n. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1920)\/1080)\/(4\/(-6))*600\/(-32).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -152*i + 150*i + 18, -3*l - 24 = -3*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26343 + -26336. Solve -5*y - 57*f + 55*f + 29 = 0, -l = -y - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11890.991581 - 11891. What is m rounded to 4 dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4*w + 74*v**3*w - 1836*v**2*w - 13*v*w + 15*v - 2*w - 327 wrt v?\nAnswer: -12*v**2*w + 444*v*w - 3672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*s**2 + 42*s + 39*s + 8*s**2 + 91*s**2 - 82*s + 2184 wrt s?\nAnswer: 214*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - -10) + (-835 - -854).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -7*y**6\/30 - 139*y**5\/60 + 58*y**2. Find the third derivative of t(q) wrt q.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1793*b**3*t**3*v + 2*b**3*t**2 + 633*b**2*t**2 + 3*b*t**3 - 2*b*t**2 + 4*t**3*v + 9*t*v wrt t.\nAnswer: -10758*b**3*v + 18*b + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 7. Let p be c(-11). Suppose 3*t = -5*q + 10, p = -3*t + 3. Let k(h) = 2*h - 2. Let x be k(8). Solve -3*j = -5*a + x, q*a + 12 = -j + 34 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 903, 2, 0, -117 in increasing order.\nAnswer: -117, 0, 2, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in 0.2, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-40 - (-56 - -28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62b810 + 4?\nAnswer: -62b80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -w - 3*w + 143, 4*u + 106 = 3*w. Let b = w + -42. Solve -2*c = 4*a - 8, c + b*a + 4*a - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 1 + 181*c**3 - 3*c - 175*c**3 - 5*c**2. Let j(u) = -3*u**3 + 3*u**2 + 1. Give 5*j(v) + 3*p(v).\nAnswer: 3*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81\/(-18)*2\/(-3). Find the third derivative of 3*f - 9*f**2 + 7*f**b + 16*f**2 - 3*f wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -22?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17032 + -16664. Does 184 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 473 - 449. Let t(n) = n**3 + 5*n**2 + 2*n - 4. Let a be t(-5). Let i = a + z. What is the greatest common factor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5, i = -3*i + 3*w + 15703. Suppose 4*k = -4*v - 1201 + 4357, 5*k - 5*v = i. What are the prime factors of k?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: In base 8, what is -214 - -143565?\nAnswer: 143351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(-4 + 0 + sqrt(112)*1 + -4))**2.\nAnswer: -1024*sqrt(7) + 2815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 18350.\nAnswer: 1\/3670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 12*r**2 + 2*r - 33. Give k(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1849*123\nAnswer: 227427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3720422 (base 12) to base 2\nAnswer: -101000111110100001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -25\/3*p**3 + 25*p + 5\/4*p**4 - 131 - 5\/2*p**2. Solve j(q) = 0 for q.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 45. Suppose -7*s + 11*s - 136 = 0. Calculate the remainder when s is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4033*d + d**2 - 4033*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-2)\/(-6) - -18. Suppose 0 = y + 5, x = -p - 5*y - 4. What is the third derivative of 2*t**3 + 5*t**p - 2*t**2 + 2*t**3 wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*c + 31318 = -693*c - 5595 - 4877 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1904.6 + 1895. Let u = i - -8.6. Let q = 0.2 + -0.3. Which is the nearest to 2? (a) 3 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.937 - -1679.302319?\nAnswer: 1680.239319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + p - 4*p - p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32211 - 2?\nAnswer: 32206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 54*c**2 - 5*c. Let o(w) = -360*w**2 + 9*w + 9. Let h(b) = -181*b**2 + 6*b + 4. Let k(x) = -9*h(x) + 4*o(x). Determine -5*k(r) + 18*l(r).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/9)\/(4\/(316 + -4)). Let z = s - -41. Let k(o) = o**3 + 3*o**2 - 2*o - 2. Let n(t) = -6*t**3 - 14*t**2 + 11*t + 10. Determine z*k(u) - 2*n(u).\nAnswer: u**3 - 5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from {s: 1, r: 2, p: 1, u: 4, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -99. Let h = -22 + s. Is 31 + (-4)\/(16\/h) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 33 (b) -2\/11 (c) -4 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4))\/sqrt(5))**2 - -1*sqrt(48).\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82027 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) + (-3)\/(-1). Suppose 0 = -3*r + 3*o + 26 + 28, -3*r = g*o - 94. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - (sqrt(104) - 4*sqrt(104))))*-3*2)\/(((sqrt(80) + sqrt(80) + -1*sqrt(80) + sqrt(80))\/sqrt(10) - sqrt(8))*-6).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*o + 750 = d, -5*o = 4*d - 559. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.072\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**2 + 6*s + 4*s - 10*s.\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(22\/36 - 2\/(-9)). Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:30 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -105137?\nAnswer: -19\/105137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10184 - -163009\/16. Let r(n) = -4*n**3 - 5*n**2 - 3*n - 1. Let f be r(-5). Let z = f + -10115\/26. Calculate the common denominator of z and h.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386184804 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 2*t**2 - 2*t + 1. What is the remainder when (438\/15)\/(52\/65) + (-28)\/8 is divided by w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -454 - -466.96. Let b = 13 - n. Round b to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + 0*y**3 - 2*y**3)*(0 - 4 + 1)*(-13*y - 6*y + y).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -835*c**3*f**3*z + c**3*f**2 + 5*c**3*f*z + 173*c**2*f - 13*c**2*z + c*f**3*z - f**3*z wrt c?\nAnswer: -5010*f**3*z + 6*f**2 + 30*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let i be 3*(j + -1) - -3. Let l be 2*(99\/i)\/3. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28519, -28536, -28553, -28570?\n\"Answer: -17*o - 28502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 9*j + 5*b - 1212, -3*b = 2*j - 806. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -118?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a549 + -207?\nAnswer: -5a755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1)*(-13)\/2. Let o = 18 - t. Solve 0 = o*h - 2*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -68. Let m be (-5)\/(-10)*(-65 - f). Is m smaller than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**2*(u**0\/u)**(1\/34) assuming u is positive.\nAnswer: u**(67\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*s + 15 = 0, 5*b + 10 = s + 37. Let a(f) be the first derivative of -2\/45*f**b - 8\/9*f**3 + 10\/9*f**2 + 1\/3*f**4 - 5 - 2\/3*f. Factor a(j).\nAnswer: -2*(j - 3)*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5540*x**3*y - x**3*z - 35*x**2*y*z + 75438*x**2*z + 2*x**2 wrt y.\nAnswer: 5540*x**3 - 35*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960.4787 months in millennia?\nAnswer: 0.163373225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:49 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16 - 12) + 8*1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -52 - (9 + -12 + -12)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8*a + 4*b = 21, -5*a - 3*b = -22. Suppose -33 = 32*x - 1313. What is the highest common divisor of a and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - -3) + 15 + (-61 - -60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 327203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 1)*(j + 5*j - 5*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -50540?\nAnswer: -50535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 + -67. Let r be -2*(-1 + 1 + -1). Suppose 0 = r*g + 3*g - u. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(10839\/1101965)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244 = -10*k - 1394 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242411404 + -2?\nAnswer: -242411411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.202601 litres to millilitres.\nAnswer: 2202.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k + 1. Let r be g(4). Is r > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 2*j + 12 + 8, -5*j = -a - 2 + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 5*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-10) + 48\/(-30) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3955 and 10735.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-14)\/((-700)\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - p**2 - 2*p**2 + (0 + p + 0)*(-1 + 1 - 3*p) + 1 + p**2 - 1 - p**2 + 4*p**2 - 5*p**2 + 3*p + 2*p**2 - 3*p + 2*p**2 - p + p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 886*r**4 + 16474*r**3 - 56602*r**2 - 166160*r - 92200 = 0. What is r?\nAnswer: -461, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-102 + 0 + -4 + -1) - (-557 - -556)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.22332 - -0.4.\nAnswer: -0.82332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 147. What is m(-35)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (468\/429)\/(64\/44).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:23 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-4) + 0 + (-36)\/24. Solve -3 = -3*o - 3*j, 5*o = 4*j - m + 41 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*x**3 - 7*x**2 + 7*x**2 - 82*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-16)*-4 - (-3)\/(-1). Let j(v) = -v**3 + 2*v**2 + 6*v + 6. Is 26 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1acc + 1c86?\nAnswer: 3a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*g + 1107, g + 735 = 2*l - 0*g. Let q = 625 - l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 39*j = 60. Let c(h) = -2*h**2 - 23*h - 12. What is the least common multiple of c(j) and 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x - 8. Let b be w(6). Let c be (-13*4\/3)\/(108\/(-81)). Suppose -7*p = -c - 50. Is p bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*p + 4*p. Let j(z) = -z - 4. Let v be j(p). Is 10 a factor of 760\/16 + v\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 9688?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -f. Solve f + 2 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 8*y - 42. Let n be b(13). Let d = 1073\/10 + n. Sort -3, 1\/2, -2, d in increasing order.\nAnswer: -3, -2, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(15)\/sqrt(5) - sqrt(3)) + (sqrt(9)\/sqrt(3))**2 + 2)*3 - 6*(sqrt(243) + sqrt(243) + 0 + sqrt(243) + 0 - sqrt(243))*6.\nAnswer: -648*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.4 (c) -181\/4 (d) -6\/5 (e) 10 (f) 0.2 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55294810 to the power of 1\/2, to the nearest integer?\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((1 + sqrt(1700))*-4 - sqrt(1700) - (3*sqrt(1700)*-1 + sqrt(1700)) - (3 + sqrt(1700)*-1 + 1)))*1 + 0)**2.\nAnswer: 360*sqrt(17) + 6881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-1) - (249\/581)\/(2\/(-42)) - -7?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g = -48*g + 7*g + 1664 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*6\/(-12)*140\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 43. Suppose -2015 = -4*a - c*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Suppose 2*v - 5*n = -n + 16, -3*v + 21 = -5*n. Let w(h) = -5*h + 2 - v. Determine t(w(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 2*l + 2*l)*(-2 + 0 + 1) - 4*l**3 - 2*l**3 + 5*l**3 - 3960*l**3 + 4193*l**3 - 5*l**2 + 3*l**2.\nAnswer: 229*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -407, -418, -429?\n\"Answer: -11*u - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/10 + 4*t**3\/5 + 9*t**2\/5 - 95. Factor z(i).\nAnswer: 2*i*(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnnbannnnnnnan. What is prob of sequence anba?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -930, -2042, -3594, -5586, -8018, -10890?\nAnswer: -14202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and -585.\nAnswer: -585.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*j + 2*u + 44 = 563*j, -84 = -24*j - 2*u - 68 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.264 minus 5?\nAnswer: -22.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5*(-2)\/(-15)*300\/50?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q. Let x(n) = n - 1. Let r(a) = c(a) + 2*x(a). Let p be r(-3). Let m = 20 - p. What is the greatest common divisor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17374 + -12869?\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42143440 - 122?\nAnswer: 42143314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + o - 2. Let l be t(2). What is the derivative of -5654*n + 5654*n + 50*n**4 + l wrt n?\nAnswer: 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let j = 8 - z. Suppose -j*o + 22 = 2. Solve -3*p + 17 = -5*q, 0*q + q = o*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 5*p**8\/1008 + 41*p**7\/315 - 37*p**6\/90 - 2*p**5\/5 + 10*p**2 - 10*p. Determine y, given that a(y) = 0.\nAnswer: -18, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 82576.84?\nAnswer: 8257.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13944708 divided by 80142.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -8578a3?\nAnswer: 8578a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*w + 30, 0*d + 3*w + 150 = 5*d. Let h = d + 39. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Suppose u*r + 35 = -3*r. Suppose -8*k - 128 + 88 = 0. Is r < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 3*r - 3*r - 19*r**2.\nAnswer: -19*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17856.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*s + 5*t + 5, 2*t - 4 = 0. What is the closest to -1 in s, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*(-80)\/(-216)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -849 by 283.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -35. Let w(i) be the first derivative of -5*i**6 + g + 7*i**3 - 6*i**3 + 5 - 5. Find the third derivative of w(t) wrt t.\nAnswer: -1800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/162 - 598\/(-18). Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -37*u**3\/3 - 63*u**2\/2 + 75. What is the second derivative of w(a) wrt a?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/96 and -73\/665228?\nAnswer: 15965472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9345*g + 9345*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*o - 2 = -3*o, 0 = -l - 2*o - 4. Suppose 2*u + 1 - 9 = l. Is ((-78)\/u)\/((-300)\/(-104) - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o - 8. Let d(p) = 7*p**3 - p**2 - p + 1. Let i be d(-1). Calculate r(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Suppose 2*b = q + 1, 0 = -5*b - 3*q - 2 - n. Suppose -3*v + 50 = 2. Solve k + 3*k + v = b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v + 112090 = 13*v + 2273674. List the prime factors of v.\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16789496287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 817369377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*h + 8 = -173*h. Solve -h*f + 12 = 4*p, -5*f = -0*f + 4*p - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 822463798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*0.19.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 16, 34, 52, 70?\n\"Answer: 18*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 219*n - 252 = 22*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 2 - 2)*(-1 + 1 + 2) + 8*r - r + 6*r + (2*r + 11*r - 2*r)*(-8 - 5 + 3).\nAnswer: -109*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*h - 2, -1 = -5*t + 4*h - 10. Let o = 0.7 + -1.1. Sort t, o, 4\/7.\nAnswer: t, o, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -834*1*(-4)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 + 582. What is the remainder when 53 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*o - 2*g + 5*g, 0 = -4*o + 5*g - 17. Let i(h) = 6*h**3 - 3*h**o + 4*h**2 - h + h. Give i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 49 = -2*o + 91. Calculate the smallest common multiple of o and 165.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69126791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 2*q**2 + 0 + 0*q - 3*q**3 - 13\/24*q**4. Find the first derivative of m(r) wrt r.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 x when three letters picked without replacement from rrrrrrrrrxrrrrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 27*d + 49. Determine b(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1068, -1407, -2 in descending order.\nAnswer: -2, -1068, -1407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -3, 3 in ascending order.\nAnswer: -9, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82100 - 41790. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 8*s. Suppose -3 = -s*t - t. Suppose -2*h - 196 = -4*b + 120, t*h = -4*b + 306. Is 30 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 2}. What is prob of sequence cm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-8)\/(-20))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/14)\/r)\/r**(-1)*(r**(-1\/16)*r)\/(r**(-15)*r) assuming r is positive.\nAnswer: r**(1649\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*h + 3*h + 49 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -31*t**3 - 2*t**2 + 1. Suppose -5*s = 3*i - s - 9, 8 = i + 3*s. Let a be o(i). Suppose 0 = r + a. Round r to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829.9769 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-6)\/9 - -4. Suppose -4*u = -q*u - 6. Suppose 3*h = -2*k + 86, 4*h - 117 = -u*k - 2*k. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 44.7. Let r = 1.7 - j. Which is the nearest to 2\/3? (a) 2 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/293562689?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 119 + 85. Let k = -67 + i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1860*w**2 - 6*w + 2391*w**2 + 5*w + 12291*w**2.\nAnswer: 16542*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3 and -59\/217.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - (14 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180.38 - 178. Let c = r + -2.391. What is c rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 54, -4*b + 0*b + 3*h - 5*h = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -5.1. What is the smallest value in 0, m, -2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17379649 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228129?\nAnswer: 3, 11, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 78 = -5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 266. Let z(n) = -6*n - 1066. Calculate -9*l(i) - 2*z(i).\nAnswer: -6*i - 262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 - 6*j - 2. Let d(t) = 3*t - 6. Let l be d(3). Suppose -l*v + 2 = 11. What is the smallest common multiple of 20 and r(v)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjjjjj. Give prob of sequence hjh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376 and 271.\nAnswer: 101896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -468.899601 - 0.110399. Let a = c + 467. Let w = 0.01 + a. What is the closest to -2\/7 in w, 5, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 678 and -1861?\nAnswer: 2539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4 - 468*s**3 + 26904*s**2 + 55696*s = 0.\nAnswer: -2, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45036 is divided by 142?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0432 - 52.9668. What is w rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:56 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31702038 and -27.\nAnswer: -8.55955026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6315 + -6283. Solve j*t + 149 = 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 20. Let s(m) = -m**2 - 5*m + 1. Let c be s(-4). Find the second derivative of g**5 - 4*g - 14*g**3 + 14*g**j + 8*g**c wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/369 + 10\/41. Determine w, given that 0 + 2\/3*w**3 - 2\/3*w**4 + y*w**5 - 2\/9*w**2 + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + 10*q - 11. Suppose 0 = -29*d - 1359 + 1446. Let g(r) = -2*r**2 + 5*r - 5. Calculate d*l(s) - 7*g(s).\nAnswer: -s**2 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/8)\/((-10)\/12). Let j = -9 + 8.96. Let n = j - -4.04. What is the second biggest value in q, -3, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (178 + 4 + 43*m - 45*m)*(-4 + 1 + 1) to the form h*m + d and give d.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Let u(j) be the first derivative of 2*j**3\/3 - 2*j**2 - j - 1. Let y be u(z). Solve 5*n - 25 = -4*g, -2*n + 29 - 2 = y*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(-5 - 2 + 4)*(4 + 3 - 6)*(7*m**3 - m**2 + m**2) in the form q*m**2 + l + s*m**3 + j*m and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 42. Let p be c(16). Let z(t) = t**2 + 5*t - 7. Give z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43478, -43859, -44240, -44621?\nAnswer: -45002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31549873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995116 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 74, 123, 176, 233, 294, 359?\n\"Answer: 2*i**2 + 39*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 9)*(9\/(-6) - -1). Let g(m) be the third derivative of 1\/390*m**5 + q*m**4 + 0*m**3 + 1\/780*m**6 + m**2 + 0*m + 0. Factor g(z).\nAnswer: 2*z**2*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 - 8)*(-1 + -142 - -1). What is the units digit of w\/36*6\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 1. Let w(p) = 2*p - 2. Give -13*g(l) - 6*w(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 162 = -h. What is the remainder when (6\/9)\/(1\/h) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 5*y**2 - 5*y + 4*y**2 + 17*y.\nAnswer: -2*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0)\/((x*x\/(x\/(x\/(x**(-1\/6)*x))))\/x) assuming x is positive.\nAnswer: x**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 50. What is the units digit of 3\/((-2)\/(f - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 3, g: 1, i: 5, t: 2}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y + y. Sort -3, -2, y, -1 in descending order.\nAnswer: y, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 + -8 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -f - 64, -3*y + 4*f - f + 36 = 0. Let a = 4 + -12. Let m be a\/((-8)\/4) - -61. Calculate the highest common divisor of y and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*k**3*o**2*u - 67*k**3*o + 40*k**2 + 5*k*o**2 + o**2*u + 3*o*u wrt k.\nAnswer: -210*o**2*u - 402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47148 = -15*c + 24597. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1667 or 51697\/31?\nAnswer: 51697\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38334 at most as big as 38335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hojf when four letters picked without replacement from {h: 1, o: 1, j: 4, f: 1, c: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Let t be 3 + q + -2 + -1. Let v = 23.5 - 23. What is the second biggest value in -0.5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 959 or -32158?\nAnswer: -32158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2782.918 - -2614.8. Let s = -19.302 + g. Let o = 189 + s. Round o to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-3)\/(-3))\/2. Suppose 0*r + 2*r - 4 = q. Suppose 5 = p, p = -r*l + 6*p - 25. Solve l = 6*u - u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 5) to base 8\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**4*z)\/z)\/(z*z*z\/z**14)*z**0*z*z\/z**(-1\/4) assuming z is positive.\nAnswer: z**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/28 - 1054\/14. Let f be 29356\/10 - 30\/k. What is the tens digit of f\/20 - (-1)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/28*7\/30. Let x(r) be the third derivative of 1\/24*r**4 + 0*r + 1\/210*r**7 + 0*r**3 - 2*r**2 - h*r**5 - 1\/120*r**6 + 0. Factor x(g).\nAnswer: g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:34 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*f**2 + 319*f**2 + 358*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*w - w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2557 - 1712. Let w = 1219 - a. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 7*v - 2. Calculate the remainder when (-7)\/((-28)\/(-66))*(-4)\/6 is divided by a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*k**2 + 2 + 3*k**3 - 692*k**2 - 154*k**2 in the form d*k**2 + p*k**3 + s*k + i and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 + 1 = 0. Let x(d) be the third derivative of d**4\/8 + 5*d**3\/6 - 791*d**2. Determine x(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + 3. Suppose -3*h - 2*s = -0*s + 28, 0 = -5*h - s - 35. Let z(w) = 11*w**2 + 9. What is h*z(c) + 17*v(c)?\nAnswer: 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 7. Let f(v) = 16*v + 2. Let i be f(-2). Let b = x - i. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361849029.9 rounded to the nearest 1000000?\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x**2 - 9*x. Let k(h) = -2*h**2 + h. Let y(b) = 6*k(b) + n(b). Factor y(g).\nAnswer: 3*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 887.1 - 887. Sort 14\/3, k, 1\/3, 0.3 in descending order.\nAnswer: 14\/3, 1\/3, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55352.8 weeks to minutes.\nAnswer: 557956224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 10 = 0. Suppose -3*f - 102 + 156 = 0. Let h(b) = -b**2 + 28*b - 178. Let s be h(f). What is the greatest common divisor of s and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/48*1)\/(3\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let v be q(-3). Suppose -5*y - 25 = -v*i, -4*i - y - 6 = -1. Which is the second biggest value? (a) -3\/4 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 21*y**2 - 11*y - 6. Let z(b) = -b**3 + 4*b**2 - 2*b - 1. Calculate -2*u(q) + 11*z(q).\nAnswer: -3*q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -638765+-44\nAnswer: -638809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24189 + 24222 - 1890*p**2 - 48411.\nAnswer: -1890*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + sqrt(35)\/(3*sqrt(7))) - (-1*(sqrt(13) + sqrt(39)\/sqrt(3)) - sqrt(130)\/(sqrt(10)*2 + sqrt(10))).\nAnswer: 37*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m - 240 = -3*r - 34*m, -7*m - 389 = -5*r. What is the remainder when r is divided by 1\/4 - (-67)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 4 + 5 - 14 - (2 + 3 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/4 - 2548\/(-56).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 17. Let d be (-1)\/(1 - -2*5\/(-15)). Let r be t(d). Solve 5*q + 10 = -i, 2*i = i - 2*q - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 25, -4*j + 0*j - 1 = -3*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-133))\/((-176)\/352).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -61*h**8\/336 + h**4\/24 + 4*h**3 - 65*h**2. What is the second derivative of c(i) wrt i?\nAnswer: -1220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4223 + 107446?\nAnswer: 103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b2 (base 16) in base 15?\nAnswer: bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = 2*t - 5*t + 5*j, 3*t + 3*j = -699. Find the common denominator of 3614\/t*(-3)\/(-10) and -113\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449638 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 e when four letters picked without replacement from {o: 9, u: 1, e: 3, t: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 182, 471, 958, 1691?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*o - 4, -2*h + 0*h + 2*o = 12. List the prime factors of (-2)\/h + (-6246)\/(-72).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4782 > -4825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 2*j**2 - 63. Calculate t(0).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4527\/4 + 1133. Which is the nearest to -1? (a) q (b) 9 (c) 2\/15 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -333, -356, -391, -438, -497?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zym when three letters picked without replacement from {m: 2, y: 1, z: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*l**2*u*z**2 + 93*l**2*u*z + l**2*u + 6*l**2*z + 171*l*z**2 - 3*l*z - 25*u*z**2 - 9*u*z + z**2 wrt z?\nAnswer: -32*l**2*u + 342*l - 50*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46154 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**9\/252 - f**5\/30 - f**2\/2 + 6. Let r(q) be the second derivative of l(q). What is the third derivative of r(c) wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216.65 - 14.35. What is the fourth biggest value in -0.1, -4, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(18) - sqrt(18))*5 - 5*sqrt(16)\/sqrt(32)).\nAnswer: -4 - 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 15, 0*h - 5*h + 4*v = -32. Put 24, h, -4 in decreasing order.\nAnswer: 24, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -20*p - 3. Let a(l) be the second derivative of -l**4\/6 - 20*l. What is a(y(d))?\nAnswer: -800*d**2 - 240*d - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 - 1425 = -787*x + 687*x + 629 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by -54.\nAnswer: -127\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {u: 2, s: 1, p: 1, j: 8, l: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1.3, 1\/6, 3\/8, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -23*u - 23*u + 318 - 313 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*s = -13, 0*s - 29 = -5*c + s. Suppose 0*j - 3*a = 2*j + 33, 5*a = c*j + 145. Calculate the common denominator of -29\/5 and 5\/20 + (-410)\/j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.249 + -0.28\nAnswer: -0.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8*h = -15444. Let d = 3822 - h. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2749159749 and 1029?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87a - 4?\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 2:36 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 4 - 17)*(-3*b**2 + 0*b**2 + 2*b**2)*((3*b + 2*b - 3*b)*(-2*b + 3*b + 2*b) - 4*b + 4*b + 5*b**2).\nAnswer: 143*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:18 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3499, 9266, 18899, 32404, 49787, 71054, 96211?\nAnswer: 125264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*u = -0*u - 30, -18 = -5*o - u. Let l be (-2)\/((-10)\/193) - -3. Let i = 42 - l. Which is the closest to 0.1? (a) 2 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p + 2. Let g = 210 - 206. Let d(u) = -10*u - 5. What is g*d(s) + 10*c(s)?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = -8247*s + 8243*s, -4*o - 4*s = -24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 8:33 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 259. Suppose -15 - 25 = 8*y. Let z be -1 - 1 - (3 + y). Is i(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 466, -10, -11 in descending order.\nAnswer: 466, 2, 1, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 44570*m + 89148.\nAnswer: -2*(m - 22287)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699912, -1399913, -2099914, -2799915, -3499916?\nAnswer: -4199917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -2*l + 20*g - 15*g, -2*l + 341 = 5*g. Put -10, 5, l in decreasing order.\nAnswer: l, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 7*g + 22. Let o(v) be the first derivative of 6*v + 1\/4*v**4 + 5\/3*v**3 - 13 + 3\/2*v**2. What is o(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -80. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t = 42*t + 4*d + 16, -3*t + 30 = -4*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*4 - (sqrt(2057) + 3))*6.\nAnswer: -18 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*824.\nAnswer: -49.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25058 + 0*u**2 - 25059 - 24156 + 5*u**2 + 74273.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101572676 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -96, -138, -178, -216, -252?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 3006?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 3*t, 2*h = -2*t + 6*t - 12. Let s = h + 1. Suppose 24 = 5*w + 2*u, 3*w - 11 = -s*u + 7. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (38 + 2)\/((-2)\/(-3)). Suppose 5*s + 21 + 9 = -y, -2*y = 2*s + x. Let j be (5\/(-3))\/(5\/y). What is the greatest common divisor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20570.9 and 290.\nAnswer: 5965561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 47a?\nAnswer: -47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.152603ml to litres.\nAnswer: 0.005152603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 - -d?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/43? (a) -0.4 (b) -40\/7 (c) 3\/8 (d) 5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 130*(28\/(-8) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 4*m + 13. Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 17*x - 20. What is q(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 921625 divided by -125.\nAnswer: -7373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 + h - 6. Let k be n(6). Let p(g) = -41*g**2 - 2*g - 3. Let w(z) = 21*z**2 + z - 2. Let t(c) = p(c) + 2*w(c). Calculate t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, -0.1, -78?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*k**3 + 28788*k**2 - 80522*k - 17256 = 0. Calculate k.\nAnswer: -1\/5, 3, 2876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.031896 + 0.032. What is a rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529513539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11))**(-19\/5)\/(i**(-13)*i*(i**(5\/7)*i)\/i) assuming i is positive.\nAnswer: i**(4611\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293, 1167, 2627, 4673, 7305, 10523, 14327?\nAnswer: 18717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 2. Suppose 0 = -5*a + 2 + 18. Suppose p - a = -13. What is the remainder when 19 is divided by l(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*v**6 - 68*v**4 - 8838*v**2?\nAnswer: -6000*v**3 - 1632*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*i = -41 - 6, -5*i = 5*z - 15. Let o = 7.1 - 7. Sort o, z, 0.4, -1\/11.\nAnswer: -1\/11, o, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841289682?\nAnswer: 2, 3, 197, 711751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(72)\/sqrt(4) + sqrt(18))*5)\/((sqrt(90) - sqrt(90)*2)\/sqrt(10) + (sqrt(324)*-1 - sqrt(9))).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68331046 = -9*j + 570758954. What is j rounded to the nearest one million?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*v + 20*v + 178*v - 15*v)*((-2*v + 3*v + 0*v)*(v - 2*v - v) - v + 318*v**2 - 166*v**2 - 236*v**2) to the form d + y*v**2 + o*v**3 + h*v and give o.\nAnswer: -17028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 13158 = -27*h - 20*h. Calculate the remainder when h is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3802.\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8*t\/(t\/(((t**(1\/2)\/t)\/t)\/t)*t)*t**(-7)\/t*t*t**(1\/5)*((t*t*t**(2\/11)\/t*t)\/t**(-3\/11))\/(t**(3\/4)*t**(-5)) assuming t is positive.\nAnswer: t**(969\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.66801 and 0.1.\nAnswer: -0.56801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1395724593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 165*u**2 - 788*u - 35. Let b be v(103). Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 126*p - 35. Let g(s) be the second derivative of -7*s**3\/2 + 3*s**2 + 4*s - 15. Determine 35*g(b) + 6*i(b).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 3\/5 (c) -2\/559 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 7*v**3\/15 + 467*v**2\/5 - 536*v\/5 - 3059. Factor r(u).\nAnswer: (u + 134)*(7*u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.3 (b) -3.7 (c) 0.16 (d) -2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -7 + 22. Suppose k - a*k = 0. Solve -m - 3 = -k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 85?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2 - 359703*i + 2158110 = 0.\nAnswer: 6, 119895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2726*f**2*j**2*r + f**2*j**2 - 539*f**2*j - f*j**2*r + 128*f*j**2 + 5771*f*r wrt f.\nAnswer: 5452*j**2*r + 2*j**2 - 1078*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/55 and 24\/10598365.\nAnswer: 116582015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.4. What is the smallest value in u, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 58 = 13. Let p = -5 - -10. Suppose k = -i + p*k - 11, 23 = z*i + 2*k. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 - -176. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 313 = 12. Suppose -5*x + 272 = a + 2*a, 0 = -2*a - 4*x + 184. What is the remainder when a is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/(5\/(-20)). Let z = n - 2. Let h be (-1)\/(-2) + z\/4. Let d(b) = -b. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2850*j - 5186. Calculate h(-2).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12552164 * 1.\nAnswer: -12552164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431194 is divided by 1646.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 times 3\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - n**3 + 5*n**2)*(-1 - n + 1 + (-5 - 2 + 1)*(-4*n - n + 2*n) - 2*n - 3*n - n).\nAnswer: -11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143533123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and -14287201812.\nAnswer: -14287201812.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/18*(-123)\/(-164))\/((-3)\/(-9)). What is the fourth biggest value in -275\/6, x, -0.5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 14. Give p(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83 + 75 - 139)*(4*t - 4*t - 10*t) + 3 + 2*t - 3 + (-4 + 3 + 0)*(1 - 2*t - 1) to the form v*t + b and give v.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 0 + 0)*(-273*d + 154*d + 165*d) + 2 - 2 - 2*d**2 to the form s*d**2 + p + l*d and give s.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 154313325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -969 + 2361. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -69, -111, -137, -141?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:13 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6749094, 13498204, 20247316, 26996430, 33745546, 40494664, 47243784?\n\"Answer: y**2 + 6749107*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 57*v**2 + 177423*v\/4 + 88825\/2.\nAnswer: -(v - 323)*(v + 1)*(v + 550)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -35349541?\nAnswer: -35349540.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 135 - 46)*(2*y**5 + 1 - 1).\nAnswer: 78*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53020 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4144475.\nAnswer: 5, 165779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 6*y + 9. Suppose 0*c + 7 = c. Let u be k(c). Suppose -u*v - 84 = -6*v. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -a - y = -2*a. Suppose a*x - 14 = 13. What is the least common multiple of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*g - 43 = -6*b, 5*g + 15 = 0. Suppose -7*s - 3*s + 1100 = 0. What is the highest common factor of b and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*(200\/15)\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -89\/7. Let z be 60\/(-110) + 0\/2. Which is the nearest to s? (a) -4 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2713*o + 2781. What is d(1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v + v**3 + (0*v**3 - 3*v**3 + v**3)*(-5 + 3 + 0) + 12*v**3 - 121 + 121.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 51. Let k be 8\/((-24)\/15) - -49. Let s = k - f. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 385636857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14323834 and -2056.\nAnswer: -14325890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 723*w**4 + 719*w**4 - 1448*w**4 - 10*w + 17*w**2 to the form q*w**3 + p*w**4 + z + m*w + n*w**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*h + 60069 = -3961*h - 1680*h - 80043 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -196\/3. Suppose -11 = 2*w - 4*p + 5*p, -w + p = 1. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*c, 4*t + 36 = -0*t - c. Let p = -6 - t. Let s(q) = 3*q - 30*q**2 + 2 - q + 27*q**2. Calculate s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130165*w**2\/4 + 168959665*w + 1495 = 0. What is w?\nAnswer: -2\/226033, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560018 is divided by 4077.\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001 + -10110011?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17572)\/2101*154\/(-126). Solve w*q - 4\/9*q**2 + 200\/9 = 0 for q.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, -23, 2, -5 in ascending order.\nAnswer: -23, -5, -1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 4*m - 75 = 0, 70 = 3*k + 3*m + 34 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/7 - 192*t**3\/7 - 5756*t**2\/7 - 7872*t - 23534 = 0 for t.\nAnswer: -41, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9804707 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*s - 611*s + 9045 = 81*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100542 (base 6) to base 4\nAnswer: 1330232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/14))**(-2\/109)\/((s\/(s**(-3\/4)\/s*s))\/s)**(-9\/7) assuming s is positive.\nAnswer: s**(421\/436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000957491676 rounded to 5 decimal places?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + a - 2. Let w be h(1). Suppose 7*n - 2*n = 3*y + 65, w*n - 30 = 2*y. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (0 + sqrt(432) + sqrt(3))**2) + sqrt(3) + (-1 + sqrt(3))**2*3.\nAnswer: -495 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Suppose -5*d = -y*z + 1020, -2*d = -2*z - z + 609. Is z - -5 - (-3)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 - 2*t + 34. Let d be u(3). Put 0, d, 4, 183 in descending order.\nAnswer: 183, 4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10445, 20894, 31331, 41750, 52145?\n\"Answer: -b**3 + 10456*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -72, -128, -204, -306, -440?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) -7501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 26.444928699.\nAnswer: -26.394928699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.548 and -7.\nAnswer: -66.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = 0, -3*p - 13*t + 61180 = -15*t. What are the prime factors of p?\nAnswer: 2, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 3*x - 2. Let q(c) = 9*c**2 + 6*c - 4. Suppose k + t = 5 + 1, 0 = -3*t + 9. Determine k*q(z) - 7*f(z).\nAnswer: -z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 37021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022 and 46920.4.\nAnswer: 1032.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8875642.211 to the nearest 100.\nAnswer: -8875600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43498\/27 or -1611?\nAnswer: -43498\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**2 + 30*t + 84. Let h(i) = -2*i**2 - 5*i - 14. Let u = -43 - -77. Let r(m) = u*h(m) + 6*y(m). Let r(b) = 0. What is b?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(121) - sqrt(121)*2)*-6)\/sqrt(11).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 397285, 397268, 397251, 397234, 397217, 397200?\n\"Answer: -17*v + 397302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 14 = -5*g. Let q be 4 - g - (-16)\/2. Let r(b) = -b**2 - 6*b - 4. Let n(l) = -l**2 - 5*l - 3. What is q*r(p) - 6*n(p)?\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -40 - -118 - 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k + 6. Let i(c) = -2*c**2 - 3*c. Let w be i(-2). Let t be (70\/(-21))\/(w\/(-3)). Determine u(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, 0, 167, 494, 1035?\nAnswer: 1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**(-1\/10)\/((u**(-1\/7)*u)\/u)**(-4\/5))**(-40) assuming u is positive.\nAnswer: u**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*z + 313 + 245 = 144. Solve 38 = z*s + 32, 3*h + 12 = 4*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from qffyqqlqqylyyfelhl?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**3 - 25*b**2 + 24*b + 57. Let p(u) = u**3 - 4*u**2 + 4*u + 10. Give 2*d(z) - 13*p(z).\nAnswer: z**3 + 2*z**2 - 4*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -24*f + f - 8*f**3 - 10 + 11. Differentiate m(k) with respect to k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkar when four letters picked without replacement from arabaakharah.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 490175\/2 (b) 0.2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 35326*w - 35327.\nAnswer: (w - 35327)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 2*h. Let g(l) = 4*l**2 - 3*l. Let f(r) = 4*g(r) + 5*i(r). Factor f(d).\nAnswer: d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -568, -1146, -1736, -2344, -2976, -3638, -4336, -5076?\n\"Answer: -d**3 - 571*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16068\/140595*(-26)\/(-8) + (0 - (-4)\/(-5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191 is divided by 241?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**2 - 340*v = 0.\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:26 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 171*j**2 - 4097*j + 7401. Let c(v) = -2*v**3 - 85*v**2 + 2054*v - 3701. Let x(h) = -10*c(h) - 6*i(h). Solve x(l) = 0.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 4, 1, -2, -2480?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1239\/(-72) - -17)\/(3\/(-18)) - 2)*-6?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 7:39 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 161705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1848, -1916, -1996, -2094, -2216, -2368?\n\"Answer: -z**3 - 61*z - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*q + 54. Suppose 0*o + 3*o - q = 0. Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60, 117, 174, 231, 288?\n\"Answer: 57*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 5, -6\/31, 0.064, -0.5, 1 in increasing order.\nAnswer: -0.5, -6\/31, 0.064, 1\/6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 100253?\nAnswer: 300759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/18)\/((-3)\/27). Let g(a) = 2*a**2 - 3. Let q(p) = -2*p**2 + 4. Determine t*q(k) + 4*g(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 304623 + -3?\nAnswer: 304620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 129 = -3*n - 2*y - 74, 2*n + y + 41 - 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*p + 22, 0*p + 14 = 4*p - 3*z. Suppose 2*r - y - 8 = -2*r, -p*r + 3 = -3*y. Suppose -v = -r*v + 10. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 3, 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/25))\/m*m\/((m*m**(-12)\/m)\/m)*m**(-1\/5)*m\/m**3 assuming m is positive.\nAnswer: m**(293\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a35916 (base 12) in base 11?\nAnswer: -3149162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2243 + 5076?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - -0.6. Let u be ((-2)\/(-12))\/(1\/2). Let o = -3.1 + 7.1. What is the second biggest value in f, o, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + 4. Let m = -44.1 + 22.7. Let h = n + m. What is the third biggest value in h, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.19194528622 and 3.\nAnswer: -3.19194528622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/5 + 4960888*k\/5 - 3076301218568\/5 = 0. What is k?\nAnswer: 1240222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 3, r: 2, z: 4, x: 1}. Give prob of picking 1 n and 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-483 - 3*r**5 + 5*r**5 + 386)*((3 - 5 + 1)*(-2 - 1 + 1) + 0 + 2 - 1 + 26 + 7 - 4).\nAnswer: 64*r**5 - 3104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0924856525 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 442\/(-272) - (-6)\/16\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 - 16 = 0. Suppose 432*h = 441*h. Put n, h, 15, -3 in ascending order.\nAnswer: -3, h, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12602 + 12592. What is the closest to c in 0.5, 3, -25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 13*g - 2*g**4 - 2*g**3 - 15*g + 733 - 728 to n*g**2 + s*g**3 + k*g**4 + m + x*g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - 2*o + 16 - 18 - 168*o**3 + 270*o**2 - 268*o**2 in the form t*o**2 + l*o + d*o**4 + u + y*o**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 + 2 + 14. Let i be (-45)\/(-9) + -2 + 21. Suppose -t + f + n = 0, -4*t - 7*f = -2*f - i. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1569.439l to millilitres.\nAnswer: 1569439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-70))\/(846\/(-705)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 83*d**2 + 3 + 2.\nAnswer: 83*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 119*g = 114*g + 61994, 2*n - 4*g = 41322. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25))\/(1\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -100. Let v = 52 + c. List the prime factors of 1*74\/v - 1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 5, -6, -1\/4, -0.5, 87\/4 in increasing order.\nAnswer: -6, -6\/11, -0.5, -1\/4, 5, 87\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 divided by -5?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.38 in -1\/18, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*2604\/23653\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 23*j - 28*j. Suppose -21 = -2*c - 3*p, -p - p + 4 = -j*c. Solve 5*v + 5 = 2*l - c*l, -2*l + v + 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/2 + 8033745*c**2 - 16067489*c\/2 = 0 for c.\nAnswer: 0, 1, 16067489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -4 + 16 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240251 (base 6) in base 16?\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from {o: 2, l: 2, v: 6, e: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:52 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*j*v**2 - 272*j + 3*v**2 - v with respect to v.\nAnswer: -46*j*v + 6*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 185*t**2 + 6*t**2 + 124*t**2 - 14*t**2. Let w(z) = 2*z. Calculate w(m(c)).\nAnswer: 602*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 2:43 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 668 - 670. Let n(v) = -2*v**2 + v + 1. Give n(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001000 (base 2) to base 4.\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42, 165, 510, 1191, 2322, 4017?\n\"Answer: 19*o**3 - 3*o**2 - o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -6. Let y = -8.1 - j. What is the nearest to 1\/3 in y, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 - -179.9. Let i = 2 - 1.6. What is the nearest to k in i, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 79. Let s = f - 12. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72807660 a multiple of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*f + 167 - 167)*(21 - f - 43 + 12) in the form d*f + o + w*f**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.19736 weeks to hours.\nAnswer: 9441.15648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -10*b - 3\/2*b**2 + 1 - 1\/6*b**3. What is z(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381.4761 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287520, 575049, 862578, 1150107?\nAnswer: 1437636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213147, -213143, -213139, -213135?\nAnswer: -213131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9158 = 336*j + 5626 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195852 by -5154.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(6\/(-10)))\/(-1) + (-1690)\/130.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 6078 + 13725 = 0. Which is bigger: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*h - 24 = 0, 0 = 2*o - 0*h + 3*h - 34. Let m = o - -3. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2277 and 83\/540891.\nAnswer: 5949801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3 - 3)*(-5*z**3 + z**3 + 7*z**3).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -4*j + 6710. Let g(p) = -p**3 - 9*p**2 + 8*p - 13. Let m be g(-10). Suppose -m*q - 127 = -j. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3 + 15*n**2 + 2*n - 2 - 3*n. Let b = -3 + 6. Suppose 12*t - 13*t = 2*g - 7, 2*g + 13 = b*t. Calculate k(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 + v - 1. Let k(n) = n + 4. Let q(h) = -15*h - 55. Let f(w) = -55*k(w) - 4*q(w). Let j be (-1*1\/1)\/(-1). Let o be f(j). Calculate g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z - 116*z - 100*z.\nAnswer: -290*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = 6. Let t be q\/(-18) + 19\/(-6). Let z be 0\/(-2)*t\/3. Solve z = n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 0*u**4 - 5*u**4)*(-2 + 2 - u) + 40*u**5 - 49 + 49 + (2*u**2 + 3*u**2 - 3*u**2)*(2*u + 0*u + 0*u)*(1 - 2*u - 1)*(2*u - u + 0*u).\nAnswer: 35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*u = -418*u + 1513102. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129677 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2222595 - 36547595. What is o rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -498330 or -498367?\nAnswer: -498367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812052 divided by 1906026?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 72\/(-10))*-5. Suppose 432 - 68 = 26*w. Let m = w + j. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 - l**2 + l + 1. Let b be s(-1). Let n be (-2)\/b - (-3)\/(-2). Let q = n - -13. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22112 + 20?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*k - 2*d, 0 = -4*k - k + d + 24. Suppose 0 = -k*a + 3*w + 91, 3*w = -5*a + 7*w + 88. What is the lowest common multiple of a and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112855121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**2\/2 + 8*n - 3. Let q be r(-10). Let j be q + 3 - (1 - -2). Let c(l) = -3*l + 1. What is c(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 - 59. Calculate the remainder when s is divided by ((88\/(-6))\/(-2))\/(4\/12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 - 4*r**4 - 104 + 92*r**3 + (-2 + 0 + 1)*(-r**4 + 3*r**4 + 0*r**4) to the form f*r**2 + t*r + w*r**4 + o*r**3 + c and give o.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3, 0 = -4*r + 2*j - 123 - 23. Let i be (-2)\/(-9) - 496\/r. Let p = i + -8. What is the least common multiple of 16 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**3 + 2817*y**2 - 216*y**2 + 37*y**3.\nAnswer: -5*y**3 + 2601*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 75 - 20. Let j(y) = o + 8 + y - 5. Determine j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + sqrt(15))\/sqrt(3) + sqrt(720) + 1.\nAnswer: 1 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 less than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1389126366 + -20\nAnswer: -1389126386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least as big as -2440\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -10 - (-48 - ((33 - 45) + -5 + 2)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 34*a**2 + 35*a - 28. Let l be p(-18). Let u be l\/((2 - -3)\/(-10)). Put -2, 0.7, u in descending order.\nAnswer: u, 0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -359)\/14 + -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(-3\/7)*r))**(-16) assuming r is positive.\nAnswer: r**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 2*v**2 - 2*v**2)*(109*v**3 - 820*v**2 + 820*v**2).\nAnswer: -109*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*m - 9, -155*c - 23 = -156*c + 5*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001123 to 7 dps.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, k: 2, t: 3, h: 3}. What is prob of picking 1 h and 2 c?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-2\/5))**(-22) assuming r is positive.\nAnswer: r**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034758 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.5, 973\/4, -0.025?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 + 18816*n**4 - 987759*n**3 - 6604482*n**2 - 602688*n + 35224416 = 0 for n.\nAnswer: -4, 2, 59, 6219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1374 and 5\/27.\nAnswer: 12366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {x: 7, n: 3, v: 1, b: 2, d: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9200, 9395, 9590, 9785, 9980?\nAnswer: 10175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-2*p**3 - p + p) + p**3 - 2*p**2 + 2*p**2 + 1 - p**3 + 0*p**3 + 6*p**3 - 2*p**3 - 10*p**3 + 0*p**3.\nAnswer: -8*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(33)\/(sqrt(396) + sqrt(396)*4 + sqrt(396) - sqrt(396)) - -2*(3 + -3*sqrt(243))**2.\nAnswer: -9719*sqrt(3)\/30 + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61\/2 of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 389674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -36. Let y = v + 29. Let z = 121.21 - 121. Which is bigger: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194899 is divided by 984.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2. Let p(h) = -20*h + 0*h**2 - 3*h**2 + 22*h + 4*h**2 + 1. What is -2*k(b) + p(b)?\nAnswer: 3*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -266 + 275, -w = -5*r + 88368. What are the prime factors of r?\nAnswer: 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3937000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b - 2*i - 43, -5*i - 15 = 0. What is the derivative of -b*t + 35*t - 6 - 5 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.18 - -27.18000676. What is n rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {v: 3, t: 13}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2. Let m(r) = -r**3 - 6*r**2 + 13*r - 7. Let y be m(-8). Let h(a) = 36 - 19 + 5*a**2 - y. Give h(u(o)).\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y - 97. Let o be i(12). Find the common denominator of (3 - (-44)\/(-14))\/(-1)*-23 and 222\/(-20) - o\/46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose -3*h + 2 = 4*p, -p + m*h = 1 + 4. Let j = 1 - p. Sort j, 5, 3 in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 4*y - 3*y)*(-5*y + 3*y + y)*(4 + 2 - 19) + 0 + 0 - 2*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - 3\/3 - -97. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.0547.\nAnswer: 0.3829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/9 + 1616*h**3\/9 - 9112*h**2 + 48256*h = 0.\nAnswer: 0, 6, 48, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -13*156\/(-169).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:44 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10361 - -9676. Is -1\/5 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 1, q: 3, w: 5, l: 4, p: 1}. Give prob of sequence qwpq.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + d**3)*(-d - 2*d - 4*d).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -659*q. Let s(v) = v. Determine s(y(t)).\nAnswer: -659*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -19888353.\nAnswer: 1988835.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 - 4*r + 2. Let f be (-8 + 3 + 0)\/1. Is 8 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336868007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*x + 4*c, -4*x - c = -0*c - 7. Is 0\/(-4) + 3 - x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, 1859, 6556, 13765, 23486, 35719, 50464?\nAnswer: 67721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 20. Suppose -3*h + 0*r + 245 = 5*r, 4*h + n*r = 340. Calculate the greatest common factor of h and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*c = -63*c - 57*c + 2270537. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 7*i**4\/6 - 11*i**3\/6 + 4*i**2. Let n be z(14). Let o = n + -164. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.181394 microseconds in days?\nAnswer: 0.000000002722006875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 90 + 6 = 0. Suppose -3*q + 5*t = 10 - o, 0 = 3*q + 2*t - 28. Calculate the lowest common multiple of q and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1207, -4870, -10951, -19450, -30367, -43702, -59455?\nAnswer: -77626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06942*1.1\nAnswer: -0.076362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/((k*(k**(-3\/2)*k)\/k)\/k)))\/k)**(-2\/21)*k*k\/((k*k*k*k**(5\/2)*k*k)\/k)*(k*k**(-21)*k)\/k assuming k is positive.\nAnswer: k**(-341\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579068425 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 18. Solve 0 = 5*k + 21 - j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 337*g*z - 50*g + 2 wrt z.\nAnswer: 337*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -76, -43, -10?\n\"Answer: 33*v - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/60 + 13*n**4\/24 - 3*n**3\/2 + 4*n**2. Is l(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610569 at most as big as 1610571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 5*h - 35 = 21*l, 3*h = -3*l + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.075\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-250))\/((-3)\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - -1 - (-49 - ((-54 - -67) + -56)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -17.6, -51\/2, 2\/11 in decreasing order.\nAnswer: 2\/11, 0, -0.1, -17.6, -51\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 - f**2 - 2*f + 2. Let b(y) = 2*y**2 + 8*y. Let o(h) = h. Let w(a) = b(a) - 5*o(a). Let x be w(-2). Give u(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 6*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -1\/2*h**2 + 0 - 2\/3*h**3 - 2*h. Let p(v) = -3*v - 1. Let c = -3 - -1. Determine c*q(o) + 3*p(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 0*c**2 - c**2 + 11.\nAnswer: c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 332, 5, -28, 6, 2, 4 in ascending order.\nAnswer: -28, 2, 4, 5, 6, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*s**2 + s**3 + 12*s**2 - 50*s**2 - 52*s**2.\nAnswer: s**3 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l, -106 = -4*f - 0*f - 3*l. Suppose 4 = j - 4*o - f, -2*j = -5*o - 49. 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 -40216 divided by -5?\nAnswer: 40216\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = -6. Let h = o + 14. Calculate the lowest common multiple of h and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + -1)*2\/4. Suppose -3*l - t = -4*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 3*n**2 + 3*n - 9*n - 11*n**2 + 8*n.\nAnswer: -8*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*v**2 - 3 + (-5 + 5 - 4*v**2)*(0 + 3 - 4) in the form c*v + p*v**2 + g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -119 (b) -1 (c) 478\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 24\/17*v**2 + 38\/17*v**3 + 0 + 2\/17*v**5 - 40\/17*v - 24\/17*v**4 = 0.\nAnswer: -1, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27698 + 6972. Round v to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*p + 26 = 29, 3*p = -48*k - 14*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eep when three letters picked without replacement from peepeeepee?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -1, 30, 83, 164?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 20, -19, -92, -211, -388, -635, -964?\n\"Answer: -2*i**3 + i**2 - 6*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 12:21 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1505 - 1622 - 984)*(-1 + 1 + r**3) to the form n*r + x*r**2 + h*r**3 + g and give h.\nAnswer: -4111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**8\/14 - l**6\/30 + 4*l**4 + 61*l - 22. Let f(t) be the first derivative of b(t). Find the third derivative of f(c) wrt c.\nAnswer: 480*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, 135 in ascending order.\nAnswer: -1\/6, 3, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**11*m)\/(m\/(m**(-4\/11)*m*m))*m**(-22)*m**13 assuming m is positive.\nAnswer: m**(-169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11385 - -17281. What is the highest common factor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h = 260986 - 260583 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 2. Let s be p(-4). Let z(w) = 0*w**s - w**2 + 6*w**2. Let b(v) be the second derivative of v**4\/12 + 26*v. Give z(b(t)).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + (5 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1052, 1490, 2198, 3176?\n\"Answer: 135*l**2 + 33*l + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 2*d**3 + d**3 + 8*d**3 - 27*d + 27*d + (0*d**2 + d**2 - 6*d**2)*(d - 2*d + 2*d) + (0*d**2 - d**2 + 0*d**2)*(0*d - 3*d + d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 2. Suppose -v - 2*v + 12 = 0. Suppose -p - 2*w - 6 = -2, v*p + 6 = 2*w. Let y be 7\/p*8\/(-14). Let h(n) = -3*n + 1. Determine y*r(d) - 3*h(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 677, 1375, 2087, 2813, 3553?\nAnswer: 4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + z**2 - 1 - 5*z**3 + 1 + z**3. Let i be 4\/(-6)*(-18)\/(-12). Let w(h) = -h**3 + h. What is i*k(m) + 6*w(m)?\nAnswer: -2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/194 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2905*f**2*h**3 - 1410*f**2*s**3 + 130854*f*s**2 - 2*h**3*s**3 wrt f.\nAnswer: -5810*h**3 - 2820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/3 - 68791*g**3\/3 + 1924384*g**2 - 40399716*g = 0.\nAnswer: 0, 42, 68707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/(o\/(o**(2\/7)*o*o))*(o*o**(-1))\/(o**(7\/4)\/o))**49 assuming o is positive.\nAnswer: o**(1673\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.3, 0.3, 4\/1745, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187\/((245960\/(-208))\/215).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138451 - 156033 = -1330*d + 13353*d + 571172 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-0.47.\nAnswer: -6.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-422)\/10 - (-1)\/5. Let a be m\/12 - (-6)\/4. Let o be a\/(-13) + (-72)\/(-39). Solve -5*f - 22 = o*z, -3*z = -2*z + 2*f + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1083*g - 1085*g + 4*y + 20, 9*y + 27 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 6:34 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 + 0*o**2 + 0*o**2 + (-18*o + 2*o - 6*o)*(114 - 114 - 20*o**2).\nAnswer: 443*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(5\/((-10)\/4)). Suppose n = 4*z - 20, z = 4*i + 1 - 0. Let q be 12\/105*119\/(-170). Is q <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -372, -1173, -2658, -5049, -8568?\nAnswer: -13437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*t**2 - 19*n**3*t + 219*n*t**4 + 5*n*t + t wrt t?\nAnswer: 2*n**3 + 2628*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 632 and 486.\nAnswer: 307152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*x = -184*x + 133*x + 52975. Solve 5*a + x = 138 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*u = 147 - 135, 0 = -4*p - 3*u + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-32.6\nAnswer: 2.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3. Suppose 5*g = 34 + 1. Let v = g + 3. Let s(f) = 7*f**3 + 4*f**3 - v*f**3. Give 8*s(t) + 5*x(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1.81151?\nAnswer: -0.362302","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 - 9*i + 11. Let u(v) = 3*v - 9. Let c be u(6). What are the prime factors of l(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s*s**(-3\/14)*s*s)*s))*s**(1\/36) assuming s is positive.\nAnswer: s**(-191\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106833 = -15*k + 424137. What are the prime factors of k?\nAnswer: 2, 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -472, -127, 220, 569, 920, 1273?\n\"Answer: d**2 + 342*d - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7374973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3 + 1 = 2*n - 18, 61 = 7*n - 2*h for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 9:51 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0794969ng in grams?\nAnswer: 0.0000000000794969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -10 - -43 - (5 - -3) and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4471568520423 and -0.3.\nAnswer: 4471568520422.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 4*k**2 - 4*k + 3. Let s be f(-5). Let m be -5*((4\/5)\/1 + s). Let t be 8\/m*(210\/(-64) + 3). Sort t, -3, 4, 0.\nAnswer: -3, t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -38844 divided by -468\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144118822, 144118828, 144118838, 144118852, 144118870, 144118892, 144118918?\nAnswer: 144118948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 1, -3.\nAnswer: -146, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1012 (base 4) to base 2\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 3, p: 5, x: 1, v: 2}. Give prob of sequence vv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.88 and 281.\nAnswer: 528.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-12)*z)\/z**(-5\/3))\/(z**3\/z**(-4)) assuming z is positive.\nAnswer: z**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*1)\/((-720)\/(-72))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c. Let v(f) = 143*f - 286*f + 140*f. Give v(o(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 44*g = -42 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79, 114, 127, 112, 63?\n\"Answer: -x**3 - 5*x**2 + 57*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 13 + 7. Let d be (9\/(-12))\/(2\/8). Sort m, 2, d in ascending order.\nAnswer: d, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.12.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**41\/(g\/g**(-9\/5)*g)**(-6\/7) assuming g is positive.\nAnswer: g**(-1093\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -9, 111250.\nAnswer: -88, -9, 111250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 28 = 2*c - h, 3*c - 3*h = 48. Suppose g - c = -2*q, 0*g = -3*q + g + 20. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46332)\/(-1452) - (-795)\/(-2915)*1\/3*-1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81446760 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/1645)\/((-3)\/405) - (-4)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(-9\/7)*(p\/p**(-5\/2)*p)\/(p**(-7)\/p) assuming p is positive.\nAnswer: p**(121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 1216\/15. Let h be (-1 - (5 + -3))\/(-2). Which is the biggest value? (a) h (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1 - (-926730)\/309120. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21972 + 5?\nAnswer: 21977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 85 = 85. Suppose -2 + m = j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4 + 9*l**2 - 6*l**2 + 0*l**2 - 2 - 3*l. Suppose 236 - 226 = 5*f. Calculate a(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010111100100 (base 2) to base 9.\nAnswer: 20828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2217 + 3641. Suppose 10*x - 276 = b. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**3 + 7*w**3 + 12*w**3 + 15*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 20\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5508, -5509, -5510, -5511, -5512, -5513?\n\"Answer: -z - 5507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2, -5\/4, -11\/4, 0.4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 31\/(30\/15270*(-2)\/(-74)) - -7. Round m to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (-3*(sqrt(833) + 1) - (sqrt(833) - (sqrt(833) + sqrt(833) + 0))*-6))**2.\nAnswer: 1512*sqrt(17) + 202467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(21\/(-30) + 1\/5). Solve b*n - 9 = -n - 4*u, 5*n = -5*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 46*p - 23400. Is 120 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254966.\nAnswer: 2, 17, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30101, 30104, 30133, 30206, 30341, 30556, 30869?\n\"Answer: 3*j**3 - 5*j**2 - 3*j + 30106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 101*g**2 - 4*g - 404 = 0. What is g?\nAnswer: -101, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 5)\/(1\/(-2)). Suppose y*n = 3*o - o + 26, -4*n - 4*o = 4. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-113 - -14) + 25 - (1 + -23).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 9 = 36*q - 32*q, -3*q - 12 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**5 + 125*v**4 - 715*v**3 - 845*v**2.\nAnswer: -5*v**2*(v - 13)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**3 - 2*h**2 - h + 1. Let d be 7*(11\/(-77) + 0). Calculate p(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-6)\/(-36))\/((-1)\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 94*b**3 + 99*b**2 + 3*b + 3. Let r(d) = 189*d**3 + 199*d**2 + 5*d + 5. Let i(s) = 5*o(s) - 3*r(s). Find the third derivative of i(m) wrt m.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1783616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*o + 25. Suppose -5 = -u - 6, -5*y + 4*u = -19. Solve 12 + y = o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*a**3 + a + 22*a**3 - 80*a**3 - 1693 + (0*a**2 + 2*a**2 - 3*a**2)*(4*a - 2*a - 3*a) - 2*a**3 - 3*a**2 + 3*a**2.\nAnswer: -3*a**3 + a - 1693","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 83*m**2 - 975*m - 53. Let b be z(14). What is the greatest common divisor of 1080 and b?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10) + ((-234)\/15)\/3. What are the prime factors of 72 - ((-6)\/(-9) + 4\/l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280911207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*l + f, 0 = f + 199 - 197. Solve -5*u - 4*a = 24, -2*a = 4*u - 0*a + l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 15*k**5 + 4945*k**4 - 8464815*k**3 + 45011255*k**2 - 14063400*k = 0.\nAnswer: -936, 0, 1\/3, 5, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7b37 + -16?\nAnswer: -b7b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969.6725 rounded to the nearest 10?\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 211*k**2 + 215*k**2 + k**3 + 6 + 14*k. Let y be s(7). Suppose y = 2*p + 2*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2173 + -2051. Calculate the remainder when b is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 32 = 4*i, -129*i - 36 = 4*g - 124*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 - 483*y + 4530 = 0.\nAnswer: 10, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6748226um?\nAnswer: 0.0000006748226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = p + 53, -8 = j - 0*j + 4*p. Suppose 34*a + j = 40*a. Solve -a*y - 3*y = -c - 9, y + 7 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401773189.\nAnswer: 17, 659, 35863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 + -233. Let l = 21\/22 + -16\/11. Which is the closest to 1\/4? (a) z (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 7517?\nAnswer: 3006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149764 + 77276 = 20*o. What are the prime factors of o?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2321 + 2131?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 21. Suppose 6*b - w = 79. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/6 - -5\/2. Suppose 0 = -4*u - 4*p, 0 = u - 0*u - p - 4. Sort u, -1\/2, x in decreasing order.\nAnswer: u, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.4. Let g = 20.06 + -16.06. Which is the third smallest value? (a) v (b) -1 (c) 2\/17 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/4 in 13\/4, 2.57, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -81?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1764633 and -43\/84?\nAnswer: 49409724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127957 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-27)\/45*(-14)\/21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*w - 21, 0 = 54*r - 50*r - 4*w + 28. Which is the closest to r? (a) 1\/9 (b) 0.7 (c) 1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10608 divided by 4.\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/((-80)\/104) + -3. Is ((-78)\/6 - c)*65\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z**2 - 36*z**2 + 6*z**2 - 2*z**2 - z**2 + 4*z**2 + (-1 - 2*z**2 + 1)*(0 + 5 - 4))*(0 + 0 + 2*z).\nAnswer: -98*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/270*12\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*x**3 - 93*x**2 + 42*x**2 + 51*x**2.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 114 = -5*u + 16, r = -4*u + 48. Suppose 3*l = -15, p + 0*l - 4*l - r = 0. Solve 0 = -2*m + 7*m - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271 divided by 17\nAnswer: 271\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/19 + 40*b**2\/19 + 154*b\/19 - 484\/19.\nAnswer: 2*(b - 2)*(b + 11)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/14)\/(((-1092)\/294)\/(-26))*(-90)\/(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1389*w**5 + 4*w**2 + 113?\nAnswer: -83340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) -2.8351 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 30151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -60.8, 0.2, -2 in descending order.\nAnswer: 0.2, -2, -60.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*(q\/(q**(-2)*q))\/q))\/q**(-14))\/(q\/q**23*(q*q*q**(-23))\/q*q) assuming q is positive.\nAnswer: q**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18475819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/525 + (-4)\/50)\/(4\/(-2)). Solve -4*z = -3*d - 25, -3*z + 5*d + 6 + 21 = u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191838197 smaller than -191838196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 15 = -n. What is the first derivative of -9*o**2 + n*o**2 - 11*o**2 + 3 + 19 wrt o?\nAnswer: -34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 96 = 11*z - 17 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -20, -24, -20, -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -8434.\nAnswer: -354228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 15658*p - 27576220.\nAnswer: 2*(p - 1481)*(p + 9310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/797 or 0?\nAnswer: -2\/797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 21. Let d be i(14). Let t(w) = -5*w + 15. What is the units digit of t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + 61. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001752 to five dps.\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -74. Let r(f) = 11*f**3 - 7*f**2 + 6*f - 5. Let j be r(3). Let z be 4\/26 - (-2185)\/j. What is the greatest common factor of i and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9928880, -9928878, -9928876, -9928874, -9928872, -9928870?\nAnswer: -9928868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 21. Suppose -4*n + 7*n - i = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172668.105 microseconds in days?\nAnswer: 0.0000019984734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 1. Let y(x) = -5. Determine 5*u(a) + y(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 198 = 277. What is the fourth smallest value in 3, -1\/3, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -0.53. Let m = b - -0.046. Let l = m - -0.0240066. Round l to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.1851, 1\/6, -0.1?\nAnswer: -0.1851","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by -91058\nAnswer: 221\/91058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 23 = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1870*m**2 + 5618*m**2 - 1882*m**2 - 1870*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.353, -3, -120?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159757?\nAnswer: 13, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 + 2*o - 8. Suppose -i + 9 = j, -4*i = j + i - 21. Let x(c) = -c**2 - 6*c - 1. What is the lowest common multiple of x(-3) and g(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86.153 + 0.153. Let p = -97.1 - y. Round p to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 - z - 8. Calculate o(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 34223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 71809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -13 (c) -1 (d) 9 (e) -573\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -139, -277, -415?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.92 - 0.08. Let s be (-70 + -33 + 103)*(-2)\/(-4). Which is the closest to s? (a) r (b) -4 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 873 + -872. Which is bigger: 52\/23 or z?\nAnswer: 52\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 152. Let q = 1 + 10. What is the remainder when y is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*r + 2*x, 2*r - x - 35 = -9. Let w = r - 11. Suppose -5*g = w*o - 10, 0*o = -4*o - 3*g + 17. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25242534 (base 8) to base 7.\nAnswer: 65333316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*y**3 + y**2 + 3225*y - 3672018.\nAnswer: 96*y**2 + 2*y + 3225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-20))\/(1225\/612 - 2). Suppose 2*w + m - 261 = 0, -m - r = -3*w + 98. Let x = w + -123. What is the remainder when 19 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*z + 67*z + 480 = -64. Let n be (5\/3)\/(3\/(-9)). Put 1, z, n, -1 in increasing order.\nAnswer: n, -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 21338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67162, -67336, -67650, -68104, -68698, -69432?\n\"Answer: -70*q**2 + 36*q - 67128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409929*h**2*p**2 + 19*h**2*p - 2*h*p**2 + 4*h*p + 7412929*p**2 wrt h?\nAnswer: 819858*p**2 + 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*-2 - -11. Let t = 14 - a. Let z = -4 + t. Solve -3*k + 0*k + 12 = z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -9. Let u = 2.3 + g. Let d = -0.30045 + u. Round d to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5975 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 13502394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -558*l**2 - 3*l - 39 wrt l.\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122 * -2.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a + 10*a - 4*a + (2*a + 2*a - 2*a)*(-2 - 2 + 3) + a + a - 3*a + (2 + 0 - 1)*(-3*a + 4*a - 2*a) - 4*a + 4*a - a + a - a - a + a - 2*a + 0*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s + 27 - 8*s**5 + 37*s**5 + 31*s**5 wrt s?\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3*s**3 + q**3 + 19*q**2*s**3 - 4*q**2*s wrt q?\nAnswer: 18*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2673\/15 + (-552)\/(-690)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*x + 99*x = 40. Sort 1, x, -4, 29 in increasing order.\nAnswer: -4, 1, x, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1374 (base 8) to base 5.\nAnswer: -11024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 5, j: 2}. Give prob of sequence jza.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 t when four letters picked without replacement from {b: 4, p: 1, k: 1, t: 3, q: 9}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -65. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 125*a - 270 = 0. What is a?\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -691.88927 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.379 * -0.08\nAnswer: 0.03032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 10. Let r = 13 - 22. Let d = r + q. Solve 5*t - 7*t = d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 - 13*s - 3*s**2 - 84 + 36 - s**3 + 48 as c*s + t*s**3 + r + z*s**2 + k*s**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1716991, -1717010, -1717045, -1717102, -1717187, -1717306?\n\"Answer: -a**3 - 2*a**2 - 6*a - 1716982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 52 + 100 + 222*s to the form h + q*s and give q.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72540 is divided by 1131?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4\/2 + 12*x**3 + 45*x**2\/2 = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0*(-5)\/20 - (-391)\/1.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + g + 48. Suppose -n - 4*n + 90 = -4*a, -n = 3*a - 18. Let b = n - g. Calculate the highest common factor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 757 - 648.1. Let v = p - 109. What is the closest to v in 2\/7, -0.16, -3\/8?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**3 + 4*v**3 + v**2 - 6*v**3 - 1 - 5*v**3 + 3*v**2 to the form j*v**3 + i + q*v + m*v**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.8 + -19. Let q = -1.2 + 0.2. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -155, -233, -309, -383?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/42)\/(-2*(-110)\/1584).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5810 - 1561. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 11212626.\nAnswer: 123338886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:03 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 210 (b) -0.05 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 2339?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 267 = 327. What is the remainder when 57 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 54. Let l be ((-1)\/a)\/((-1)\/1245). Suppose -l = -8*z + 969. What are the prime factors of z?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + s = -3282 - 3479, 0 = 2*h + 2*s - 4502. What are the prime factors of h?\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*q + 390 with respect to q.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 11. Suppose 0 = 3*w + l - 14, -5*w - l + 2*l = -m. Let y = w - -7. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4701177 (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/4*18258\/3222?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346336 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 4498*t\/5 - 169164\/5.\nAnswer: 2*(t - 2286)*(t + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 220. Suppose -b - 76 = -5*k, -14*k + 112 = -b - 18*k. Calculate the remainder when g is divided by 6*20*(-8)\/b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 12787.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26.39, 0.05, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170812 - 170901.327. What is f rounded to the nearest integer?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/53, -9, -13, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201781.2 milligrams in micrograms?\nAnswer: 201781200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-1)*(-2 + 1). Suppose o - 2*o + 23 = 4*b, 5*b - 13 = 4*o. Suppose 0 = 2*h + h + 4*r + 3, -b*r = -h + n. Sort h, 5, -2 in descending order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -i - 5*t, 2*i + 0*i - 4 = -2*t. Let m = -14\/45 - 139\/45. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/43432009?\nAnswer: 3\/43432009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 151?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1605?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (70380\/(-1104))\/((-10)\/24). Solve -150 = k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7412, 7423, 7442, 7469, 7504, 7547, 7598?\n\"Answer: 4*o**2 - o + 7409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24090*i*s**2 + 2*i*s*t - 11466*i*s - 2558*s**2*t - 1045*s wrt s.\nAnswer: 48180*i - 5116*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 318*o - 7841. Let j be t(-23). Determine d so that -4\/3*d**3 - 1\/3*d**j + 0 + 4\/3*d + 1\/3*d**4 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103683.915402 - 103684. Let v = 0.085 + q. Round v to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -9 + -7 + -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -14146954\nAnswer: 14146953.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2 + 27*r - 5. Let b be u(-3). Suppose -5 - 11 = 4*g. Sort b, g, -5, 3.\nAnswer: -5, g, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (33481*(4 + -3) + 3)*90\/360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 27.1.\nAnswer: -10.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*d - 1486 = 0, -5*d = 4*r - 0*d - 2976. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-94)\/18 - 5*4\/(-90). Is -1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Expand (7*z - 37 - 8*z + 14)*(1 + 1 - 4).\nAnswer: 2*z + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:46 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 7. Let g be (-2)\/(p\/(-2) - 0). Suppose -5*x = g*w - 168, -x - 6 = -5*w - 28. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25107 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 3893.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75464057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54221632?\nAnswer: 2, 847213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 174, 350, 526?\n\"Answer: 176*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -414 - -2?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6601\/2937 + 5\/979. What is the common denominator of i and 29\/255?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367*r**3 + 1111*r**2 - 1723718*r wrt r.\nAnswer: -2202*r + 2222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5 + 5)*((-4*t**3 - 6*t + 6*t)*(-t - 2*t + t) - 7 + 9*t**4 + 7 + (-2*t**3 - 1 + 1)*(-7*t - 5*t + 20*t)).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 8*z**2 - 4349*z + 43738. What is i(10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -26 + 1, 5*t = -2*b - 1830. Let y be t\/(-88) - (-2)\/(-11). Solve 0*c = -4*c + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7326 and -97\/1020756?\nAnswer: 3062268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckcckc. Give prob of sequence kcc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2326 or -2325?\nAnswer: -2326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:33 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144658145*j*z**2 - 1425*z**2 - 7451 wrt j.\nAnswer: 144658145*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/235 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 60, 67, 78, 93?\n\"Answer: 2*y**2 - 3*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2 - 37*c + 78 = 0.\nAnswer: -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12749132 divided by -289753.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/8 + -3\/8. Sort -2, a, 3 in decreasing order.\nAnswer: 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -262, -11, 502, 1277, 2314, 3613?\nAnswer: 5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39947 - 21565. Suppose -b - i = 3*t + 40615, 2*b = 2*t - 118002. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 10) to base 6\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*v - 8. Let d be ((-1)\/1)\/(9 + v). Calculate the remainder when 5 is divided by d - -6*3\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -196, -188, -178, -166?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5, -0.06, -43, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6365397 millennia in months?\nAnswer: 7638.4764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.796 and -393.\nAnswer: -395.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2112098 by 598.\nAnswer: 1056049\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -138 and -976\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -117*d - 1553. What are the prime factors of q(-60)?\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 24716 = -5*v + 8*c, 3*v + 2*c - 14812 = 0. Suppose -v + 1452 = 8*n. Let m = -206 - n. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*o + 47, -4*t + 4*o - 188 = 2*o. Let k = 111 + t. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.891 or 1770?\nAnswer: 0.891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6 - 5 - 2*m + 4. Let p be b(5). Is -1 - (1 + 11*p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-45)\/10) + 9\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhhb when four letters picked without replacement from bbhbbhhbbhb.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -1\/3*w**3 - 5 - 5*w**2 + 8*w. What are the prime factors of k(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*o + 3*b, 0 = o - 2*b + b - 20. Let z(y) = y**3 - 16*y**2 + 15*y + 21. Let u be z(o). What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.44, -2\/15, 1\/3, 1.7, 2\/7 in decreasing order.\nAnswer: 1.7, 1\/3, 2\/7, -2\/15, -1.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 38*i**2 + 62*i + 931. What is z(-37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 37, 0.5 in ascending order.\nAnswer: 0.5, 0.7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 14*p**2 + 23*p - 1. Let h be y(2). Solve -15 - 5 = -4*i + 4*j, -3*i + h*j + 21 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/11 - 4*u**2\/11 + 6*u\/11 = 0. Calculate u.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)\/(h\/h**(1\/70)))\/(h\/(h*h**(-15\/7))*h**(-21)) assuming h is positive.\nAnswer: h**(-219\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let v(w) = 2399942123*w**2. Calculate v(a(o)).\nAnswer: 2399942123*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 15, -4.\nAnswer: -5, -4, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.6. What is the third biggest value in x, 2\/9, 3\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/9 + 364*k**2\/3 - 1106*k\/9 - 2188\/3 = 0 for k.\nAnswer: -547, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26962 + 26237. What is the closest to -0.2 in -4, 2, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*i - 32, q - i = 4 - 5. Suppose -q*x + 1 = -5. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 8 + 2*o + 5)*(-5 + 4 + 2)*(-1 - 2 + 2).\nAnswer: -2*o - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -30836, -4, 591 in increasing order.\nAnswer: -30836, -4, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*15\/(-18)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16964448 and 5280?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10005379*m + 5002746*m + 5002632*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12258, -24515, -36772, -49029?\n\"Answer: -12257*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - -294. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n*n*n*n*n**(-47)*n*n**(-6\/11)*n\/(n\/(n\/n**(1\/85))))**(-44) assuming n is positive.\nAnswer: n**(200304\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -7) + (-32)\/(-8). Let b = -66 + 162. Calculate the greatest common divisor of b and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*h + 360 = 956*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i + 5*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -29, 0, 175, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2194390 is divided by 1866.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2117 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3137.\nAnswer: 9411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 3*c**2 + 3*c - 6. Let u be h(3). Suppose 0 = -u*f + 38*f - 5608. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 506 in -0.3, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**5 - 55*i**3 + 166*i. Let u(n) = -n**5 - 55*n**3 + 165*n. Let q(a) = 3*u(a) - 2*w(a). Find the second derivative of q(j) wrt j.\nAnswer: 20*j**3 - 330*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -2332867?\nAnswer: 1633006.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by -54.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/9)\/(y**(-24)\/y) assuming y is positive.\nAnswer: y**(221\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 411*i - 413*i - 2, -5*z = 4*i + 24. Let p be 2\/(-9) + 0 + 0. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52504 - 2205059\/42. Calculate the common denominator of (1 + (-113)\/(-4))\/(6\/4) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93563095 = 146*p + 93551269 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s + 9. Let y(d) = d + 2. Let f be 890\/6 - 2\/6. Suppose -q = -9*v + 4*v - f, -4*v - 5*q = 130. Let h = 26 + v. Give h*k(b) + 18*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + 3*b - 5*b)*(b**3 + 3*b - 3*b) + 0 - 8*b**4 + 0)*(-2*b - 15*b - 5*b).\nAnswer: 220*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtlipoti. What is prob of sequence iopg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14842*t - 92795 = 8235*t + 482014 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-10 - -4)) + (-1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 103?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose -a*k - 8 = -40. Suppose -1 - 8*l - 11*l**2 + 4*l**2 + k*l**3 - 8*l**2 + 16*l**4 = 0. Calculate l.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -60*p**3 - p. Let y be s(-1). Suppose 157 = 2*j + y. 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: Solve 60 = -19*d + 7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -31, 5, -1\/6.\nAnswer: -31, -5, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 4807864*i\/3.\nAnswer: i*(i + 4807864)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 21. Let f be (1\/d)\/((-3)\/504). Suppose -f = 3*t - 6*t - 3*u, -t = -2*u - 43. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6408*c + 6412*c - 19230*c + 1501 + 6411*c.\nAnswer: c + 1501","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/96)\/(2\/144).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/29026983 and -58\/807.\nAnswer: 29026983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432441 is divided by 782.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25373c (base 14) to base 9.\nAnswer: 2356217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 284*k - 132*k - 133*k.\nAnswer: 2*k**3 + 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992241 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/57 + 289\/228. Let o = -0.11642 - -0.51642. Which is the fourth smallest value? (a) o (b) u (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5868 and -97\/4890.\nAnswer: 29340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (2\/(-3) - (-5282)\/30)*(5 + 30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x + 7. Let s be b(1). Let w be 5\/(s\/54) + (-12)\/(-4). Suppose w*g - 200 = g. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 11*n**2 - 17*n - 3. Calculate t(13).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 (base 12) in base 5?\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 1, y: 2, b: 1, w: 3, e: 12}. What is prob of picking 2 y and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 21*s. Let m(r) = 2. Let d(p) be the second derivative of -p**3\/6 + p**2\/2 + 18*p. Let y(k) = 2*d(k) - m(k). Give c(y(i)).\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 573791, 573751, 573689, 573605?\n\"Answer: -11*a**2 - 7*a + 573809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1187646729 and 3.5.\nAnswer: 1187646732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 52 = 8*i. Let s be 2*5\/10*-34. Let h = s + 22. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4 + 2)*184\/(-1518). What is the second smallest value in 8, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3749 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895800 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {s: 1, p: 1, h: 2, d: 1, f: 1, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6*-1)*80\/(-220)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + q = 2, -2*n + 4*q - 2 = 10. Let o(c) = -4*c**3 - 19*c + 7*c**2 + 3*c**3 - 16*c**n + 12 - 8*c**2. Does 20 divide o(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let p(z) = -6*z**2 + 54*z + 1. What is p(c(o))?\nAnswer: -6*o**2 - 54*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -108*r**2 + 63*r + 78. Let v(a) = -13*a**2 + 8*a + 10. Calculate -4*u(i) + 33*v(i).\nAnswer: 3*i**2 + 12*i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-10))\/((-1)\/(-28)). Suppose -4*i = -5*g - 28, -2*i + 3*g + t = -0*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i + 5*i)*((20 + 5 - 14)*(0 - 3 + 0) + (-3 + 4 - 3)*(0 + 3 - 2)).\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - 17454877*i**2 - 3*i + 17454804*i**2 - 1 - 2*i to the form p + h*i**2 + m*i**3 + c*i and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/5 - 39*t\/5 - 18 = 0. Calculate t.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11257\/210 + 256\/5. Find the common denominator of -29\/102 and r.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(3\/(-15)). Suppose -4*t + p*i + 399 = 0, i = 4*t + 3*i - 414. Is t a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 - 9606*o - 556755. Give b(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 6*j - 7. Let i(t) = 11*t**2 - 17*t - 20. Suppose 0 = -7*w - 0 + 42. Determine w*i(s) - 17*b(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -36 - (14 - 16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)\/q**(-1\/6)*q**(-1\/7)*q**0\/q assuming q is positive.\nAnswer: q**(-125\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55402 + 15?\nAnswer: -55354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 11*x**6\/120 - 2*x**5\/15 + 17*x**2. Find the third derivative of w(n) wrt n.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0259435 to 5 dps.\nAnswer: 0.02594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 44*x**4\/3 + x**3\/2 + 647*x**2 + 35*x - 3. What is the derivative of v(y) wrt y?\nAnswer: 352*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/20 and -99\/132568.\nAnswer: 662840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f**3 + 2636444*f**2 - 37669088*f + 10547376 = 0 for f.\nAnswer: -94173, 2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 - (-24052)\/154. Suppose 2*w = 3*v - 156, w - o = 2*v - 5*v. What is the greatest common divisor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/(g\/(g\/(g\/(g*g**(5\/3)))))*g**(-9)*(g**(-17)\/g)\/g assuming g is positive.\nAnswer: g**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5+-1057\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t**2 - 2 - 12*t**2 - 4*t**3 - 3*t**3 + 17*t + 5*t**3 to s*t**2 + p + f*t + a*t**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527*d = -1132*d - 125550 for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110769 is divided by 527?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 7*c**2 - 6*c - 13. Let t be y(8). Let -5*r**2 - t*r + 0*r**2 + 15*r + 3*r = 0. Calculate r.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1183969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 1090225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1682 + -940. Suppose 2*x - 280 = j, -5*x - 42 = -4*j - y. What is the greatest common divisor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14487483 divided by -1\nAnswer: -14487483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2088)\/4872*112\/(-54)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -33. Suppose 0 = -d - b - 0*b - 4, -5*d - 2*b = w. Put 1, 5, d in increasing order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-258)\/(-8))\/(-12*5\/(-320)) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90859.381 - 545.\nAnswer: -91404.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0133215 to 4 dps.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(((-4)\/((-80)\/(-3)))\/((-81)\/90)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + -1110100010110?\nAnswer: -1110100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 49. Suppose n + 2*n = b + 168, z*b = -3*n + 183. Suppose 0*m - 2*m + 24 = 0. What is the remainder when n is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 minus 5.88?\nAnswer: -791.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-162) - (-8415)\/2754*(-3)\/11\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -52.9. Let o = 0.0425 + -0.1525. Which is the nearest to y? (a) -0.4 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/25, 3\/4, 1, -1, -3, 21 in ascending order.\nAnswer: -3, -1, -4\/25, 3\/4, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -245371, 258?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:12 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 - 8*w + 23. Let b be v(8). Suppose 0 = -5*i - c - 3*c + b, -2*c - 4 = 0. What is the remainder when 128 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -2 (c) -67 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8329 + 8389. Calculate the highest common factor of 160 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:53 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c + 4*c - 8*c. Let t(p) = 26*p**2. Give t(k(v)).\nAnswer: 416*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 72\/33 - (8 - (-4160)\/(-110))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933 - 4008 - (2 - 0 - 0)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474035.\nAnswer: 5, 113, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*d + 159*d + 55*d - 47*d.\nAnswer: -143*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmt when three letters picked without replacement from timmbcimitcikim.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*v + 152*v - 76*v + 2)*(12*v**4 + 20*v**4 + 12*v**4).\nAnswer: -704*v**5 + 88*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 + 17*c**2 - 6*c**2 - c**2.\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-189*(-14)\/21)\/(-2 + 4). Calculate the highest common divisor of w and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**3\/6 + t. Let b(p) = 70*p - 80. Let k(x) = 47*x - 50. Let z(v) = 5*b(v) - 8*k(v). What is z(a(h))?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/16 - 3\/2. Which is the nearest to 0? (a) 0.4 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21.7? (a) 1\/7 (b) 0 (c) 0.1 (d) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 30*j**2 - 40*j - 15.\nAnswer: 5*(j - 3)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37247, -37240, -37221, -37184, -37123, -37032?\n\"Answer: z**3 - 37248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 15*p + 12. Suppose -4*x + 23 = 5*t, -4*x = -2*t + 5*t - 17. Suppose -6 = -x*k, 5*m + 0*m = 5*k - 65. Is 34 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99996?\nAnswer: 2, 3, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -312\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 10 = 9*o - 5*c, 20 = -5*c. What are the prime factors of (-1324)\/o - (6 - 0)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 7*n**2 - 8*n + 11. Let d be f(10). Suppose d = 3*k - 4*o + 69, -3*k = -o - 153. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44775 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109 divided by 17?\nAnswer: -2109\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9553.383 centuries in months?\nAnswer: 11464059.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 1488*h + 7. Give o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 - -136. Let n(i) = 4*i - 34. Let a be n(z). Is 3601\/2 - a\/8*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01437420622 to four decimal places.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -4, -1.3, 2\/63, 17.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-5 + 17)*(-16 + -13).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 108 = -33*n + 164 + 71 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.162438 to two dps.\nAnswer: 39.16","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 292031282 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2 + 3*v - 5*v + 1 + 4*v**3. Let p(n) = -3*n**3 + n - 2. Suppose 37*w - 15 = 34*w. Let g(l) = -2*l + 13. Let h be g(w). Calculate h*p(u) + 2*a(u).\nAnswer: -u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19652404419\/665 + -29552501. Let a = z + 471\/38. What is the common denominator of a and 31\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -226?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 + 2*w**2 - 11*w - 10. Let h(p) = p**3 + p**2 + p - 1. Let r(i) = -f(i) + 4*h(i). Is 34 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 43 + 7*r - 56 + r**3 + 12*r**2 + 2*r. Let h be t(-11). Which is smaller: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -2*g + g. Let r = 15\/1096 - 892219\/5480. Let f = g - r. Is 1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/1*4\/(-6). Suppose 0 = p*x - 12, 0 = o - 4*o - 5*x + 90. What is the highest common divisor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqc when three letters picked without replacement from qacqgqn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/2*4\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:39 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22*(8\/(-4))\/(-4). Solve -3*i + m - 2 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51864 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkwdgke. Give prob of sequence dg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let f(c) = -c**2 + 12*c - 3. Let x be f(12). Give h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -941 + 978. Does f = 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95650 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 12*g**2 - 10*g + 17. Calculate d(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 2, y: 3, f: 3, e: 1, b: 1}. What is prob of sequence gq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-112))\/(7 + -2 + -3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1\/3, -0.201 in decreasing order.\nAnswer: 3\/5, 1\/3, -0.201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 8*o**2 + 3*o - 6. Let c be j(4). Let b = c + -32. Let p = 28 + b. Solve -2*v + 9*g = 4*g + 24, -p*v - 2*g + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-26))\/(-31))\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 - w**3\/3 + w**2 - w. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/20 + 9*x**4\/4 - 19*x**3\/2 + 29*x**2\/2 - 157*x. Solve v(s) = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**2 - 1855*h + 1230.\nAnswer: 5*(h - 123)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62550 (base 10) to base 4.\nAnswer: 33101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 = -2*j - 2*j. Let h be j\/4 - 10\/20. What is the highest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -354, -32, 5 in increasing order.\nAnswer: -354, -32, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -3 - 130\/(-39) - -7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = n + 23 - 7, 5*n + 4*r + 10 = 0. Let y be (-48)\/(-9) + 2\/n. What is the third smallest value in y, 1, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4105130 (base 7) to base 9.\nAnswer: -825032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -169732 times 4\nAnswer: -678928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 18. Let o = c + -4. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*q**4 + 135*q**4 - 2*q**3 - 51*q**4 + q - 31*q**4 in the form u*q**3 + p*q**4 + f + b*q + y*q**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/180 and 61\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-8)\/(-140))\/(-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 17 = o - 2, o + 5*x = 25. Suppose 5*m + o = 5. Let g(j) = -2 + j - 3 + j - m. Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-198)*(-8)\/14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -10a08?\nAnswer: 10a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 + 4*a**2 - 8*a + 19. What is the units digit of j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 28628?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 23 - 27 - 21 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(-136)*36\/5*9\/(108\/104)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24184588 and 45694.\nAnswer: 266030468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -79. Suppose -3*d + 5813 = 4*x, f*x + 5*d = 1302 + 1587. Is x a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 124*a**2 - 11*a + 35. List the prime factors of n(-7).\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let w(h) = -471*h**2 - 12*h. Let z(y) = 472*y**2 + 9*y. Let p(v) = -3*w(v) - 4*z(v). Calculate j(p(q)).\nAnswer: -475*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-48) + -7 + 5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(18)\/sqrt(2)*-3) + -1 + (2*sqrt(1100) - sqrt(1100)).\nAnswer: -1 + 29*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from tznnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/246)\/((-4028)\/114 + 35).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -15\/14*q**7 + 10 + 0*q**3 - 2*q - 1\/4*q**5 + 0*q**2 + 0*q**4 + q**6. Factor b(s).\nAnswer: -5*s**3*(3*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(3)*5)\/sqrt(12).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -1 (c) -5\/6 (d) -0.18 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 111201*f.\nAnswer: -f*(f + 111201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99114052.\nAnswer: 2, 24778513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*p + 9*p + 390, -594 = -3*m + 3*p. Let a = m + -18. Suppose -t - 91 = -2*k, -a = -5*k - 5*t + 22. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11385 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409692 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-20)*(-10)\/(-3) + -3. Put -2\/7, 0.2, a in ascending order.\nAnswer: a, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2886)\/13838 - ((-30)\/(-34) - 1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 11*q - 6. Let w be q*(9\/15 + 2\/5). Which is smaller: w or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1170, 2328, 3484, 4638, 5790, 6940, 8088?\n\"Answer: -j**2 + 1161*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 13 = 4*h + 11*d, 0 = 2*h + 5*d + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-44 + 56)*(-5 - 34\/(-6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799, -803, -811, -823?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 + 216 + 330 + u + 273 - 1040.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10541*s**2 + 10559*s**2 - 5*s + 4*s + s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*a**2*f**6 + 9*a**2*f**2 + 4*a*f**6 - 21*f**2 wrt f.\nAnswer: -2640*a**2*f**3 + 480*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose -h + p = -2. Suppose 2*j - 18 = -a, h*a - j - 48 = -2*j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/3287492?\nAnswer: 5\/3287492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhplklkhhpzkkkk. Give prob of sequence kh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*i*t**2 + i*w + 3*i + 3*t**2*w - t*w wrt w.\nAnswer: i + 3*t**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60468.6 kilometers to nanometers.\nAnswer: 60468600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -13, -2\/15, 3, -35, -2, 5 in increasing order.\nAnswer: -35, -13, -2, -2\/15, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (6 - -7)\/(-13) + (622935 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 31434, -22, 3, -3 in decreasing order.\nAnswer: 31434, 3, 2, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from bzttdcbi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 + 192. Sort q, 4, 7 in decreasing order.\nAnswer: 7, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3110 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 2*k + 8*k - 6*k + 4*k**2.\nAnswer: 4*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1136 + 2183. Solve -k = 3*s - 1068 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 4*p - 2. Let c be k(-6). Let l = -10 - c. Suppose 331 = l*i - 3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005010733895 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2049417 and 83997?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 3*m**2 + 20 + 3*m**2.\nAnswer: m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*f**2 - 2*f**3 - 260*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 53 - (-9 + (1 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89440560 divided by 11784\nAnswer: 7590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 5916?\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - (-49 - (-10 + -13))) + -23.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1494)\/744 - (-2 + 0)). Let j be m\/900 - (258\/(-54) - -5). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 489.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - w**2 - 11112*w**3 + 11113*w**3 + 5*w**2 + 6*w**2.\nAnswer: w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 4*z - 96, v - 7*z + 243 - 285 = 0 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1904 + 6443. Is 81 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9559231.\nAnswer: 11, 869021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 21, -98, 1 in decreasing order.\nAnswer: 21, 1, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 272826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158054 and 130000?\nAnswer: 790270000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5760 + -5730. What is the remainder when 487 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*g + 31*g - 528 = -19*g. Let v = -1.13 - 0.07. Let l = v - -1. Which is the third smallest value? (a) l (b) g (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 16) + 8 + (1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002320222 (base 5) in base 8?\nAnswer: 7470466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*w + 5, -4*r = -5*w - 3. Solve -r*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4, -5*f - 4*v = v + 20. Suppose f = 2*u - 7 - 11. What is the remainder when 62\/4 + 1\/2 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, -5, -2\/5, -1 in decreasing order.\nAnswer: 167, -2\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 541*l - 377. What is the tens digit of m(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t - 2. Let f(d) = d. Let x(i) = -4*f(i) - v(i). Suppose -5*h = -46 - 9. What is the remainder when x(6) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 + 3*b - 6. Let o be k(6). Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*v**3 - 3 - 135*v**4 - 447098*v**2 + 447098*v**2)*(-2 + 6 - 2) to d*v**2 + q*v**3 + m*v**4 + b*v + a and give m.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 2*a**2 + 0*a + (3*a - 5*a + 3*a)*(0*a + 4*a - 2*a) - 1 + 5*a - 29*a**2 - 5*a to the form x*a + n*a**2 + j and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-228)\/(-42))\/(20\/7). Which is the closest to 1? (a) p (b) -2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let k be (-5 - (-2 + z))\/(-1). Suppose 0 = 3*b + d - 11, 2*b - 2*d + 18 = k*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146541425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 5*d + 18. Determine q(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3 - 9*t**2\/2 - 2*t. Let z be f(-8). Suppose -2*g = 10, -2*g + z = 2*l - 5*g. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 876, 1764, 2652, 3540?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13110 divided by -3\nAnswer: 4370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 35.4. Let d = o + -1.4. Let j = 637\/5 + -127. Which is the nearest to 0.1? (a) j (b) d (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000083862 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1ddb8c1?\nAnswer: 1ddb8be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apnspansssswsna. What is prob of sequence psns?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/7 + 13*r**2\/7 - 11*r\/7 + 3\/7.\nAnswer: -(r - 1)**2*(5*r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -28 + -6 - (9 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = 5*f - 2*x + 610, 0 = 5*x. Let v = 195 + f. Solve 0 = 4*d - 5*u - v, 0 = -5*u + u - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*p - 1224 = 232*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39248 and 61990.\nAnswer: 1216491760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 200256359 a multiple of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25412639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 351\/18 + (-1)\/(-2). Solve 0*t**2 + 4*t**2 + 1 + n*t - 2*t**2 + 49 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5837 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2564 - 2559)*((-8)\/(-5) + (-2 - -1)). Which is the third smallest value? (a) w (b) 8 (c) -0.5 (d) -0.3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 95*n**3 - 10*n - 4. Let g(p) = 96*p**3 - p**2 - 8*p - 3. Calculate 5*g(u) - 4*i(u).\nAnswer: 100*u**3 - 5*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 1565*b - 28*b**2 - 7*b**2 - 100 - 1760*b = 0.\nAnswer: -5, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 8*i**2 + 7*i**2 - 2*i**2. Let b(g) = g**2. Give x(b(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oca when three letters picked without replacement from {a: 3, s: 2, o: 13, c: 2}?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78.000462 - -78. What is u rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850105253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 392, 384, 376?\n\"Answer: -8*v + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*(63\/12 + -6). Which is the fourth biggest value? (a) 4 (b) v (c) -2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.2 + -28. Let f = 2.8 + -3. What is the third biggest value in 1\/4, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -5 (b) 4 (c) 66\/59 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 2*u**3\/3 - u**2 + 4*u\/3 + 4\/3.\nAnswer: (u - 2)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 56 - 6. Let o be (2\/(-3))\/((-6)\/27). Suppose j + a = o*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.8858 millennia to years.\nAnswer: 810885.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(5\/6))\/m**14)**(-42) assuming m is positive.\nAnswer: m**511","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1000\/320 + 1\/(-8). Let k(j) be the second derivative of 5\/2*j**2 + 21*j + 0*j**4 + 27\/20*j**5 + 0*j**w + 0. Differentiate k(i) wrt i.\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 8*v - 75. Let m be j(-8). Suppose 11 = -3*q + m. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -346*f + 6325. Determine r(17).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*b - 160 = 0, -592 = 4*l - 6*b + 2*b. Let h be (-94*(-11)\/(-3))\/2. Let t = l - h. Find the common denominator of t and 22\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 35.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16432475597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 377 = -18*d. What is the remainder when 67 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a. Let v = 67165 - 67162. Solve -v*g + 12 = -a*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 1. Let c be q(5). Suppose -2*t = 4*m + 16, -4*m - 5 = -t + 5. Let z = t + c. Solve -z*f + 0*f = 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -27*d**3 + 53*d - 13. Let v(z) = -9*z**3 + 20*z - 5. Give -4*i(k) + 11*v(k).\nAnswer: 9*k**3 + 8*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 555\/136 - 12\/17. Let m = 2990\/9 + -121031\/360. Let x = m + s. Which is bigger: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.7 (b) -1 (c) -552\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/855 and 101\/17670?\nAnswer: 53010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0*l)**(-22)*(l**1)**22*(l**(-2)*l)\/l**(-4)*((l\/(l\/((l\/(l\/(l\/l**4)))\/l*l))*l)\/l)\/((l\/(l\/l**(-2\/7)))\/l) assuming l is positive.\nAnswer: l**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1531.4 - 1531.363. What is the closest to 0.1 in 9, l, -0.2, 4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 - 56916535*z**3 + 215965940704965*z**2 - 273155089584136424445*z - 2731572492492351325950 = 0. Calculate z.\nAnswer: -10, 3794439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01994980774 rounded to five decimal places?\nAnswer: -0.01995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -2\/311, 4, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgsqtsj. Give prob of picking 2 s, 1 q, and 1 t.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -6, 25 in descending order.\nAnswer: 25, 7, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*i + 2*i, -219 = -m + 2*i. Let y = m - 134. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/18 in 5, -0.1, 0.1, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(175) + 1 + 5*(sqrt(175) + -1 - sqrt(175)))*-2 - (-2*sqrt(112) + -1 - (-5 + (-1*sqrt(21))\/sqrt(3))))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {s: 3, w: 3, e: 1, q: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86 from 3583355974.\nAnswer: 3583355888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 17*q + 33. Let p be k(15). Suppose -525 = -4*g - p*f, -f = 2*g + 25 - 288. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -179*c**4 + 30*c**3 + 5158 - 106*c - 31*c**3 - 108*c + 215*c wrt c?\nAnswer: -716*c**3 - 3*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + (-2412)\/(-84))*(-3)\/(54\/8)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -48*q + 16. What is the hundreds digit of b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429031068*z**5 + 62*z + 1384103 wrt z.\nAnswer: 8580621360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 66722192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**3 + 10*d**3 - 4*d**4 + d**4 + (4*d**2 - d**3 - 4*d**2)*(-2*d + 3*d - 2*d) to j*d**3 + v*d + o + i*d**2 + t*d**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4454218061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/183 in 1\/4, 36, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 71.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(1 - 3 + 4)*(-2*g + 5*g - 2*g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257871?\nAnswer: 7, 11, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 + (-94)\/(-14). Let i = -13 + o. Are -6 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 3117?\nAnswer: 37\/3117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uix when three letters picked without replacement from {u: 1, x: 1, i: 1, b: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 6}. What is prob of picking 2 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*x + 1 + 51*x - 2*x + 70*x - 194*x**5 + 751*x**5 wrt x.\nAnswer: 11140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 135*p**2 - 76*p**2 + 32*p**2.\nAnswer: -174*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90*v**2 - 18*v**2 + 11*v**2)*(-5 - 1 + 0) to a + u*v + z*v**2 and give z.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3*f + 4*f)*((-131 - 43 - 198)*(-2 + 3 + 0) + 6 + 9 - 5).\nAnswer: -1086*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, -17, 32310 in decreasing order.\nAnswer: 32310, -17, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1347 + 0.0653. What is the biggest value in k, 0.1, 0.134, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.461680561 + -20986960.991680561. Let j = c + 20986848.53000041. Let p = j + 110. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-416)\/6)\/(44\/(-396))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -5*w + 4*d, -5*d - 36 = 4*w. Let t(f) = 7*f**2 - 2*f + 2. Let z be t(1). Suppose z*u - 4 = -11. Put u, -5, w, -2 in decreasing order.\nAnswer: u, -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 579*q**4 - 1710*q**3 = 0.\nAnswer: -190, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -10.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*5\/45*-3. Let m(k) = -p*k + 0*k - 5*k - 4*k + 0*k. Let v(y) = -6*y**2. What is m(v(c))?\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Is d at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/120 - h**5\/60 + h**4\/24 + h**3\/2 - 7*h**2. Let f be b(0). What is the tens digit of 27 + f + -3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 25*l - 2. Let s(q) = 4*q**2 - 61*q + 5. Let i(p) = -2*p**2 + 49*p - 4. Let g(b) = 3*i(b) + 2*s(b). Calculate 3*g(r) - 2*o(r).\nAnswer: 2*r**2 + 25*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -412?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -4*k, -4*s = 2*k + 11 - 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, 6, 231, 724, 1575, 2874, 4711?\n\"Answer: 15*z**3 - z**2 - 55*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -97*r**3 - 634752*r**2 - 1039010253*r - 1904500498 = 0. Calculate r.\nAnswer: -3271, -178\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 29*i**2 - 9*i - 289. Let k be u(-15). Is 55 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*r + 69 + 453 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2165 = 26*l + 30*l - 1157 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 3710. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*(0 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysxs when four letters picked without replacement from {y: 2, d: 2, t: 1, s: 2, r: 1, x: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -4 (c) 0.02 (d) -0.1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 1\/7, 6, -7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.057, -0.3 in descending order.\nAnswer: 0.2, -0.057, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(2200)*-3)\/((sqrt(88) + -3*sqrt(88))\/sqrt(8)).\nAnswer: -31*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.4809 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 6. Let x = n - -10. Differentiate -2 + b**x - 3*b**4 + 0 wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20326, 20327, 20328, 20329?\nAnswer: 20330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -291 divided by -15\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*(-13 + 6 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, k: 2, d: 1, s: 1, o: 2}. Give prob of sequence sd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x - 5*n, -7 = -3*x - 3*n + 14. Suppose 4 = a, 0 = 5*o - 0*o - x*a - 653. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g**2 + 5951*g - 132810 = 0. Calculate g.\nAnswer: -190, 699\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 0*v + 2*v - 4. Let p(z) be the second derivative of 3*z**3\/2 - 5*z**2\/2 + 5*z. Calculate 7*j(g) - 6*p(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 1. Suppose j - 7 = -3. Suppose 0 = j*d - 2*d - 3*o + 18, d + 2*o - 5 = 0. Let c(p) = 4*p**2 + 6. Give d*t(m) + c(m).\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 763 (c) 1 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmk when three letters picked without replacement from {c: 1, z: 1, k: 1, m: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17291714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707811 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/21*-9)\/((-1)\/(-1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 34*r - 372. Let w be m(11). Solve -5*j + 4*z + 28 = -17, -2*z = w*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7456965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/(57\/18) + -4 + -1. Which is the closest to s? (a) 3 (b) -3\/5 (c) -0.19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691, -4367, -6043, -7719?\nAnswer: -9395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -69\/7, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74852*g**3 - 149685*g**3 + 74837*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 19*f**3\/6 - 48*f + 5. Let k(v) = 23*v. Give k(u(q)).\nAnswer: 437*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + -1 + (-2 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2141 - -819. Round h to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, -615, -3055, -8127, -16701, -29647, -47835, -72135?\nAnswer: -103417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from jyyyyyjyyy?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5 and -0.29.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-6))\/f)\/f)\/f**(-1))**(2\/111) assuming f is positive.\nAnswer: f**(-4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 + n**2)*(3*n - 3*n - 2*n**2) + 5*n**4 - 11*n**3 + 11*n**3 + 19*n**4 + 4*n**4 + 0*n**4 + 11*n**4 - n**4 - 11*n**4.\nAnswer: 29*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(112)*5)**2 + (sqrt(343) - (sqrt(343) + 0 + sqrt(343) + 2)) + 4.\nAnswer: -33598 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, -3, -5 in decreasing order.\nAnswer: 1, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 41, 72, 125, 206, 321, 476, 677?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 3)*(1 - (-1 + 4)). Is q greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4594 - 593. What are the prime factors of v?\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93.9672 - 94. Let o = -0.0595 - v. What is o rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8666 - 8665. Solve w + 29*q - j = 26*q, -4 = -4*w - 4*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 76. Let c = 10 - l. List the prime factors of 0 + (31\/(-2))\/((-4)\/c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + 29*y**2 - 969*y + 6401. What is t(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 16*g + 41. Let h be q(-18). Solve -3*a + 3 = 0, 3*a + 6 - h = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from dcdcmcd.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7326 - 8048 = -19*q. Solve -4*n = q - 6 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/2*(-1)\/4 and 3074\/1749*6\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l + 4. Let f be u(-4). Suppose f + 66 = 3*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from xxwwfwwwwxxlfxxxxxf.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 18*b = -27*b + 240. What is the greatest common divisor of b and 2500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221 times -0.081?\nAnswer: -908.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 + 286*q - 66 - 130 + 775*q + 268 to m*q + b and give m.\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -56*x**2. Let n(o) = -1636*o. Calculate n(c(j)).\nAnswer: 91616*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -7. Let w(a) = a**3 + 5*a**2 + 5*a + 3. What is the lowest common multiple of w(h) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1289 + 1288.9. Let c = -721438\/167 + 4320. Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7253, 14465, 21663, 28841, 35993, 43113?\nAnswer: 50195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 0.1880758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 - 13*l - 7. Let i be j(3). Which is greater: i or 559?\nAnswer: 559","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4565*p**2 - 209530*p - 21160 = 0. Calculate p.\nAnswer: -92\/913, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -571? (a) -1\/2 (b) 0.1 (c) -16 (d) -2\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*k + 29 = -19, 2*v + 3*k = 33. Suppose 6 = 9*l - v. Suppose -2*c - 5*u + 302 = -3*u, -l*c - 4*u + 292 = 0. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -381\/607?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let r be (-5 - m)\/((-3)\/2). Let j(a) = -3*a - 1. Let x(q) = 4*q + 1. What is r*x(h) + 3*j(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 5) + -3 + (-2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -7423 + 2175. Suppose 0 = -2*m - b + u, 114*b + 85 = m + 116*b. What is the remainder when m is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543848 is divided by 23645?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + 32 - 32)*(-2 + 2 + 3) + (44*o - 13*o + 16*o)*(2 + 1 - 2) - 1 - o + 1 in the form i*o + j and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 8103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120102222 (base 3) in base 15?\nAnswer: 1b9e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.7. Let l = 0 + 1. Let w be 2\/10*(l + -3). What is the smallest value in -2\/9, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8, -v + 2 = -5*x + 55. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 73, 115?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.4 + -44. Let l = -4980837 - -4980837.6000103. Let n = m + l. What is n rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 5*s**2 - 8*s + 37. Let r be q(5). What is the nearest to -0.13 in r, -3\/4, -2, 4\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2. Suppose r - 3 = 0, 7*b - 2*b + 22 = 4*r. Let h be 0\/b + (-4 - -6). Let q(i) = i**2 + 1. Calculate h*q(f) - z(f).\nAnswer: f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) -0.39 (c) -1.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h - 24 = -w, -3*h - 4*w - 36 = 0. Let k be 4\/h - (-140)\/15. Solve 5*g - 2*g = 5*v + 34, -2*g - 3*v - k = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52862857 to the power of 1\/2, to the nearest integer?\nAnswer: 7271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12311001 + 102?\nAnswer: -12310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 v when four letters picked without replacement from {k: 4, v: 3, e: 2, d: 1, r: 1, i: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*h + 56 + 64 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116002573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1789 divided by -1789\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 32 = -o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*v = -49*v + 410. Let q(u) = 2*u**2 + 14*u + 15. Calculate q(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v**2 - 4*v**2 - 5*v + 3*v**2. Let o be x(-5). Let a(z) = -z + 8. Let p be a(o). Solve 2 - p = -3*u, -u - 10 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2347\/51 + -46)\/((-5)\/36 - (-21)\/84)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/120 + l**5\/10 - l**4\/8 + 17*l**3\/3 - 132*l**2. Let z = 23 + -17. What is the lowest common multiple of r(z) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j\/j**(1\/5)))\/j))\/((j*j**(-2\/7)\/j)\/j*j*j*j)*j**9\/(j**(-4\/3)*j) assuming j is positive.\nAnswer: j**(989\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1630354134 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 29*r + 18. Let o(l) = -l**2. Give o(s(p)).\nAnswer: -841*p**2 - 1044*p - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1315705579 - 1315705573.299999663. Let y = 5.7 - k. What is y rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17326 * 0.14\nAnswer: 2425.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - z - 2*z**2 + 0*z + 7*z**2 - 6*z**2 in the form v + d*z**2 + n*z + s*z**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(175) + 4 - sqrt(175)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 + 136*o**2\/11 - 2326*o\/11 - 2460\/11.\nAnswer: 2*(o - 15)*(o + 1)*(o + 82)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/8 - 13\/(-2)*1. Suppose -52*h + 53*h - 7 = -4*i, 4*h = -4*i - r. Put -5, -3, -1, i in descending order.\nAnswer: i, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from odoodoo?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.585 to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -1256*y**2\/3 + 7180*y + 6408 = 0.\nAnswer: -267\/314, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94010059 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*z**2 - z + 18*z**2 + 13*z**2 - 12 - 8*z**4 + 7*z**4 as l*z**2 + r*z + n*z**3 + q*z**4 + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15*((-32)\/(-16) + (-7)\/5)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833119 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -51 and -51 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1ccd61b (base 14) to base 2\nAnswer: -110111001111011110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - -2) + 34\/(-10))*(12 - 22). Suppose 2 - 6 = -4*n. Solve -2*a - 2*i + 2 = -p*i, 5*a - 4*i = n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69678 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 2542?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1581*d + 14556 wrt d?\nAnswer: -1581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 3}. Give prob of sequence iwii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 + 25*v**4\/12 - 15*v**3\/2 - 15*v**2 - 8*v - 13. Is i(-26) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 48868*s + 781883. Determine h(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 2) + 24 + 2 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:08 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386417, 1, 0, -0.5 in ascending order.\nAnswer: -0.5, 0, 1, 386417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, -479, -1572, -3689, -7172, -12363, -19604?\n\"Answer: -57*s**3 + s**2 - 15*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365381 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15379, 123094, 415487, 984898, 1923667, 3324134, 5278639, 7879522?\nAnswer: 11219123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20*o - 15. Let t(v) = -7*v + 5. Let d(w) = 8*t(w) + 3*y(w). Let z be d(6). Solve -5*b + 35 = -0*b - 5*k, -5*b - 3*k = -z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1366, 1362, 1354, 1342?\n\"Answer: -2*y**2 + 2*y + 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 - -1) + (-26 - -31)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (5 - 10) + (-9)\/(-2). Is j less than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 425 and 21658?\nAnswer: 541450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p - 7. Let v be f(-5). Suppose 3*h - 6 = v*k, h + k = 5*h - 8. Suppose 3*x = -x, -h*j + 4*x + 30 = 0. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5401172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 55*w**3 + 2*w - 2. Let t(b) = -b**2 - 18*b - 45. Calculate the smallest common multiple of f(1) and t(-14).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 481025735 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1073686 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.37 - 237.63. Let k = -238 - o. Let n = 5.8 + -0.8. Which is the biggest value? (a) n (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486136 is divided by 4766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-2\/29)*w)*w)\/((w\/w**(-5\/6))\/w))**(-34))**(10\/17) assuming w is positive.\nAnswer: w**(1330\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -12, -23, -50, -99, -176?\n\"Answer: -g**3 + g**2 + 3*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 267. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00194019562 rounded to 5 dps?\nAnswer: 0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -62\/255 (c) -3\/4 (d) -2 (e) -2\/5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 3\/8*t**4 + 0*t - 4\/3*t**3 + 0 + 2*t**2. Differentiate o(i) wrt i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*k**2 - k**2 + 10*k**2.\nAnswer: 11*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, 64, 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -941013 divided by 5503\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1523 + -16783\/11. Find the common denominator of 163\/42 and n.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5904 = -2*q - 4*q. Let d = -117 - q. Factor -3 + 14*z + 86*z + 2*z - d*z**2.\nAnswer: -3*(17*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66489.\nAnswer: 3, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.44 + -35.5. What is q rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 1*(-5 + (71 + 1)\/2)?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*l*p**3 + 11*l*p - 596955*l - 1125*p**2 - 1 wrt p?\nAnswer: -87*l*p**2 + 11*l - 2250*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 2363?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of -5 + 6813\/15 + (-4)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -75. Let v(s) = 3*s + 4. Calculate v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 35. Let n = 43 + m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 1027*u**4\/2 - u**3 + 3*u**2\/2 + 69*u - 3272. What is the third derivative of s(z) wrt z?\nAnswer: 12324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 109620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5890 and 136309325.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 122*w - 200*w)*(10*w**2 + 12 - 12).\nAnswer: -3260*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -1, 14\/491, 0.5, 0.1?\nAnswer: 14\/491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456 is divided by 645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1072223t to milligrams.\nAnswer: 107222300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10*279\/(2671704\/(-2850)).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11110691075 - 11110691075 + 381*k**2.\nAnswer: 381*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10936.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56636.\nAnswer: 2, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (111*h + 13*h + 22*h)*(1 - 2 + 0) as a + i*h and give i.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 70 = -242. Let m*d**3 + 1142*d - 1148*d + 3*d**2 - 3*d**4 - 6*d**4 = 0. Calculate d.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - ((19 - 17) + -15) - (-27 + 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 35*z**2 + 10*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*6*sqrt(1700))**2 + (sqrt(68)\/sqrt(4)*2 + sqrt(34)\/sqrt(2)*4)**2 + 2).\nAnswer: 6611442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -151\nAnswer: -16\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 641, 1402, 2257, 3206, 4249?\n\"Answer: 47*t**2 + 620*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 37*c - 37. Let o be l(17). Suppose 0 = 9*m - o*m + 20. Suppose 2*g = -2*g + 2*q + 298, 3*g = -m*q + 251. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2486, 4962, 7430, 9890?\nAnswer: 12342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -36*l + 59. Let t(x) = 17*x - 29. Let u(n) = -2*h(n) - 5*t(n). Let a(o) = 3*o - 7. Let r(k) = 22*a(k) + 6*u(k). What is the derivative of r(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 - 8*q + 17. Let m be o(5). Solve -z = m*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274788?\nAnswer: 2, 557, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10998 + -10998.0888. Which is the closest to -3\/4? (a) -0.2 (b) 4\/5 (c) -0.5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33853880 by -170120.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*w + 20*w + 39. Solve w*y - 6*y - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/69 and -3 - (2064\/(-1332) - (-12)\/(-9)).\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 13) + -303 + 315 + -14 + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 132 = -2*s. Sort 5, -1, s, -5 in descending order.\nAnswer: 5, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -96827 and -0.92.\nAnswer: -96827.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 43 = -3*r + 31, -68 = -4*v + 2*r. Let x = -764 - -1628. Let w be ((-4)\/(-8))\/(3\/x). What is the greatest common factor of v and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119\/28 + 6\/8. Differentiate b**4 - b**2 + b**2 + 1 - g with respect to b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(4\/33*(-15)\/10). Which is bigger: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/157 - 119\/7222. Suppose l = -5, 3*l - 2 - 3 = -5*p. Let s(v) = -v**2 + 4*v + 1. Let t be s(p). Which is the closest to 2\/5? (a) t (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -370. What are the prime factors of r?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2841287774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 870924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 - -214.7. Let m = h + 10.357. Round m to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 450\/7. Let i = -0.04 + 10.04. Which is the biggest value? (a) 4 (b) k (c) i (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -364*h. Let l(t) = -2*t**2. Calculate v(l(g)).\nAnswer: 728*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 25 in decreasing order.\nAnswer: 25, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 5. Let m(r) = -r**3 - 6*r**2 + r + 8. Let s be m(-6). Differentiate -s*o**3 - o**3 + o**3 + k with respect to o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15327*v - 32342*v + 15543*v to the form w*v + s and give w.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1162814863 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 4*o + 2. Let j(h) = -h**2 + h. Let l(m) = -d(m) + j(m). Let z be l(4). Suppose -z*t - 21 = -3*t. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/279 or 1?\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 6. Calculate f(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 126*d**3 + 748*d**2 - 4*d + 21. Give v(-6).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 150*v**4 + 1083*v**3 + 4668*v**2 + 636*v - 6240 = 0. Calculate v.\nAnswer: -2, 1, 13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 14*w - 32. Let p be i(-11). Suppose -2*u = -u - 2. Sort p, 0, u in descending order.\nAnswer: u, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/4, 23\/6, -2\/3, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + (6 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -2 - s**3 + 4*s**2 - 4*s**2. Let x(o) be the first derivative of -o**2\/2 - 350. Determine x(l(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47\/30 - -9\/10. Let a = 0.4 + -0.3. Let l = 0.3 - a. What is the biggest value in -2, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 3*i + 3. Suppose -22 + 7 = 5*f. Let d be m(f). What is the third derivative of -a**2 - 3*a**3 + 7*a**d + a**3 + 6*a**3 wrt a?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/3 + 11550044*x\/3 - 16675439550242\/3 = 0.\nAnswer: 2887511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/30 + 67\/210. Let f be 10\/(-2) - 51\/(-7). Let j = 15\/7 - f. Which is the closest to 0? (a) -5 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 5. Let s(m) = 2 + m**3 + c - 7 + m**2. Is s(0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6 - (-1 + -1). Which is the biggest value? (a) -2 (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**5 - 4*k**2. Let a(u) = 6*u**5 + 4*u**2. Let o(t) = -4*a(t) - 3*m(t). Find the third derivative of o(r) wrt r.\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(133\/(-28) + 8 + -3). What is the closest to 6 in -2, -2\/9, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 423 and 0.3.\nAnswer: 423.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 113. Let g = -10 + k. Is 1*3783 - (g + -1 - -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -216?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -16. Suppose -35 = v*n - t + 41, n - t = -16. Find the common denominator of -35 and (17 - 18)*(-194)\/n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1 + 3)\/(-1). Suppose 1950 = 5*r - d, 0 = r - m*d - 205 - 204. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14049 + 14049. Let z(g) be the third derivative of 0*g + g**3 + h - 31*g**2 - 13\/60*g**5 + 0*g**4. Differentiate z(q) wrt q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uelu when four letters picked without replacement from leeeeeeeelelueeeu?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/((-13)\/((-16744)\/23)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/((-6)\/(-3)))\/(-2))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyycyyyyyyyyyyy. Give prob of picking 1 y and 1 c.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 13 - 26 + 13. Let d(y) = 4*y - 3*y**2 - 4*y. Give n(d(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*y + 6*y + 8*y)*(-6 + 1 + 2) + 102 + 60*y - 102)*((-1 + 2 + 1)*(-4*y + 3*y - y) + 2*y + 2 - 2) as b + m*y + j*y**2 and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s + 31. Let m be d(-8). Let v be (-2)\/(-4)*-2*-85. Let t = m + v. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, u: 1, p: 1, h: 2, d: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3102 = 11*y + 3036 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4704*r + 2986 + 1033 = -718*r + 1403*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**2 + 7*r. Let w be (4\/(-7))\/((-2)\/7). Let l(a) = a**2 - a. Let o(v) = w*h(v) + 14*l(v). Let m(g) = -3*g + 2*g + 3*g. Determine m(o(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/2657?\nAnswer: -9\/2657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21159701 or 21159702?\nAnswer: 21159701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14934050*t**2 + 5*t**3 - t**3 - 14934050*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohsyk. What is prob of picking 1 k and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2261 and 15485.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.984 - 70.066. What is y rounded to the nearest integer?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 187?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344, -343, -350, -371, -412?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45716449?\nAnswer: 45716449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 + 479*b**4\/3 + 24351*b**3 + 3571621*b**2\/3 - 3645154*b\/3 = 0. What is b?\nAnswer: -226, -127, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from sdsddddssdds.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 63.8. Let o = n + -5. Let g = -0.2 + -0.3. Which is the third smallest value? (a) g (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -640, -737, -834, -931, -1028?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -5*p**3\/3 + 7*p**2\/2 - 9*p - 20. Let u(l) be the first derivative of 1\/3*l**3 - l**2 + 2*l - 9. Determine 9*u(i) + 2*x(i).\nAnswer: -i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 8*m**3 - 2*m**3)*((3 + 0 - 5)*(4 + 2 - 4) - 1 + 3 - 1 + 0 + 4 - 2).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110100011011 (base 2) in base 3?\nAnswer: 1121221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/(-1872))\/(((-9)\/(-24))\/1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1379301 and 79233?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668131 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 11. Let o be i(-6). Let l be o*(-2 - 34\/(-5)). Let z be 0 - (l\/15 + -1). What is the smallest value in 2, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*l = -22, -x + 2*l = 4*x + 20. Let s = x + 11. Let w be 6\/(-2)*12\/s. Sort w, 1, 4 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + i**3 + 3*i**3)*(-i + 5*i - 3*i) - 1682*i - 138*i**4 - i**2 + 1682*i + 40*i**3.\nAnswer: -137*i**4 + 40*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2*t - 6. Let k(j) = j**2 + 2*j + 7. Let z(v) = 4*i(v) + 3*k(v). Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*k - 15, 6*k = 9*k - 12. What is the tens digit of (-2)\/7 - (5882\/y + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - 0 - (3 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 + 52*j**2 + 3*j - 67.\nAnswer: 6*j + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3\/4 - 3051*h**2\/2 - 333895*h\/4 - 66291\/2 = 0.\nAnswer: -1163, -57, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.7 + -14.7. Let a = 2 + 0.1. Let m = 2 - a. What is the smallest value in 0.08, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 10\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtrrrrttt. What is prob of sequence trtr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2568*o + 83 - 49 - 34 as u*o + d and give u.\nAnswer: 2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -451, -1134, -1819, -2506?\n\"Answer: -r**2 - 680*r + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 160*m - 360*m + 163*m + 8. Is b(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*v - 46*v + 7 - 48*v - 19 + 11.\nAnswer: -8*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32924238250 - 1.04\nAnswer: -32924238251.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*q**2 - 35*q**2 + 12*q**2 - 49*q**2 in the form j*q + o*q**2 + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n**3 - 2)*(-2*n - 4*n + n) - 37 + n + 72 - 4*n**4 - 38.\nAnswer: -14*n**4 + n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -48\/1003, -0.13?\nAnswer: -48\/1003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94, 83, 72?\n\"Answer: -11*v + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000228145 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Let q(d) = d**3 + 12*d**2 + 9*d - 11. Let o be q(-11). Let g = 11 - o. Solve h*j = -2*z - g*z + 17, -4 = -j - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let n(i) = y*i**2 + 0*i**2 + 3*i - 2*i + i**2 + 5. Is n(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1081, 8568, 28871, 68392, 133533, 230696?\nAnswer: 366283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2895 at least as big as -2895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 4*g + g - 2 - 6*g. What are the prime factors of z(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = 2. Let m(t) = 2*t**2 - z - t - 3*t**2 - 27*t**3 - 9*t**3. What is the remainder when m(-1) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-19 - (-24 - -11)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042869 to 5 dps.\nAnswer: 0.00429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:47 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460941*s**4 - 21018*s + 6?\nAnswer: 5531292*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*c + 188*c - 20. Solve c*x - 2*x = -2*v + 4, 0 = -3*x + 3*v + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -50*b - 1463. What is i(-29)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3\/(-3) - 3. Let j be ((-4)\/(6 + p))\/(-2). Is -5 + j + 264 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 186384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*g - 650, -3*g + 2*q - 870 = -7*g. Suppose 4*p = -l + g, -l = 2*l + 5*p - 626. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58947384*d**2 - 241304543*d wrt d.\nAnswer: -117894768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185260587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 310 divided by -1\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, o: 9}. Give prob of picking 3 o.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 3812 = 413*s - 5837 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**(-40)*(a**(2\/3))**(-43)*(a*a**(-2)*a\/(a**(-7)\/a)*a)**18 assuming a is positive.\nAnswer: a**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -96. Let r = -49 - s. Let a be ((-3)\/(-9))\/((-2)\/(-6)). What is the second biggest value in r, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -18 - (15 + 0)) + 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*f + 25 = -f, -3*q - f - 19 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2 + 5*p + 2. Let d(v) = v**3 + 3*v**2 - 7*v - 15. Let s be d(-4). What is the hundreds digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*f + 38 = 0, -3*x + 50 = f + 28 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/((-5)\/150)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 396613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -303231301100?\nAnswer: -303231301011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 7*x**2 + 12*x + 31. Let s be u(-6). What is the second smallest value in s, 7, -6, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*b + 2. Suppose 16*s - 8925 = -103*s. What is the remainder when s is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.183? (a) 2\/3 (b) -25.28 (c) -0.3 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2) + (-3 - (4 + 1 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162, 654, 1474, 2622, 4098, 5902?\n\"Answer: 164*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*x**3 - 19*d**2*x + d*x**2 - 532*x**3 - 13*x**2 wrt x.\nAnswer: -12*d**2 - 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jur when three letters picked without replacement from jurll?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*w + 6033 - 2415 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgmit. What is prob of sequence it?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:07 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 7 - d + 7 + (4*d - 2*d**2 - 4*d)*(4 - 4 + 2*d**2).\nAnswer: -2*d**4 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) 1\/2 (c) -3 (d) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665132951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 5588763.\nAnswer: 335325.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144.9214 + 145. Let r = 0.121 - s. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-9)\/21*188\/(-282).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35634 by -37.\nAnswer: 35634\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*x - 8, -3*y - 6*x = -x + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 3*o**2 - 13*o - 7. Let z be q(-5). Solve 2*a + 2 = 4, -5*b + 2*a = -z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 + 7)) + -45 + 21 + 26\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 8*p**2 - 10*p - 16. Let d be s(-7). Sort -12, 0, d, -1 in ascending order.\nAnswer: -12, -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (624\/(-52))\/((-13)\/(221\/(-561))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0*f**2 + 2\/3*f**3 - 3*f - 1\/24*f**4 + 1\/60*f**5 + 0. Let d(h) be the second derivative of y(h). Calculate d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7600*g**3*y + 3*g**3 - 43*g**2*y - 147*g*y - 212033*g + 10 wrt y.\nAnswer: -7600*g**3 - 43*g**2 - 147*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/(-4))\/5 - (-4)\/8. Put i, 0, -5, -1 in increasing order.\nAnswer: -5, i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 540 - 351. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 2*b + 10. Suppose -27*y = -22*y. Let w be v(y). Solve 5*m + 0*m - w = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b. Let u(l) = 28*l**2 + 3*l + 3. Let m(d) = -110*d**2 - 11*d - 11. Let i(w) = 3*m(w) + 11*u(w). What is i(h(v))?\nAnswer: -1408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -375004.8 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338750 and 152500?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 215264?\nAnswer: 215264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 13420.565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -17321.77962 to the nearest 10.\nAnswer: -17320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 + 1073*l\/4 - 18819\/2 = 0. What is l?\nAnswer: -1107, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**5 - 14*o**5 - 3*o**5 + (0*o - 3*o + 4*o)*(262*o**4 - 932*o**2 + 932*o**2).\nAnswer: 238*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 2, -3.2, 8, -21\/34?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdweeeddeewd. What is prob of picking 1 e and 1 d?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -0.2, 2\/35, 2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6137196 and 151\/87573066.\nAnswer: 2276899716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3 - 19*n**2 - 16*n + 36 = 0.\nAnswer: -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-3 - (-4 + -6)) - 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + 98 + -101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 834464*r**2 - 123461*r + 5 wrt r?\nAnswer: 1668928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + (-20 - -5) - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5, -41, -51, 3 in increasing order.\nAnswer: -51, -41, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o + 117. Let v = 225 - o. Suppose 5*y - v = 107. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 692 = n - d, 5*n + 2*d - 3370 = 0. Suppose -5*f = -f - n. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 9 - 0. Let r(b) = b**2 + 2*b + 1. Let q(n) = n**3 + 3*n**2 - n + 11. Let z be q(-4). Let v be r(z). Put v, o, 5 in descending order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Let t(q) = -3*q**2 + 9*q**2 + 2*q**l. Let h(p) = -p. What is t(h(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -1.9. Let m = h + 0.2. Let t = 35 + -35.5. What is the biggest value in t, -4, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1248\/130)\/(-12))\/((-3)\/(-30))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -35*n + 6. Let l(a) = 11*a - 13. Let c(r) = -12*r. Let q(d) = -5*c(d) + l(d). What is 6*q(k) + 13*u(k)?\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7178 - 3606. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x. Let h(z) = 29*z - 17. What is d(h(y))?\nAnswer: 145*y - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -8*f**7\/105 + 37*f**5\/30 + f**4\/12 + 3*f**2 - 8*f. Find the third derivative of u(p) wrt p.\nAnswer: -384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = 30. Let i be (-14)\/h + (-40)\/(-32). Let j(y) = y + 1. Let o(z) = z**2. Let m(x) = -3*j(x) + o(x). Calculate m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/14196 and -167\/1560.\nAnswer: 141960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 5. Let t be y(-5). Let f = -12 + t. List the prime factors of f - -1*(-1 - -3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 100, 154, 210, 268, 328?\n\"Answer: s**2 + 49*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530097 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 31 + -70 + 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:17 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**0))**(-4\/7)*g**2\/g**(2\/13))**(1\/10) assuming g is positive.\nAnswer: g**(12\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -90*i - 535. Let q be c(-6). Suppose 0 = 2*n - n - 7. Find the second derivative of 10*w**5 + n*w - w + 0*w - q*w wrt w.\nAnswer: 200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 - 3*q - 4. Suppose 2*n - 23 = n - 4*b, 2*n = -b + 11. What is the units digit of m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2508930 and -71\/4575.\nAnswer: 12544650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.7 - 6. Suppose -9*i + 386 - 706 = -365. Which is the biggest value? (a) 4 (b) l (c) i (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = -s, 36 = 4*w - 5*s + s. Let f = 4 + -1. Suppose -2*b - 5*y + 63 = -0*b, -b = -f*y - 59. Calculate the greatest common divisor of b and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -p, -128*q - 4 = -124*q + 3*p + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 20*w**4 - 75*w + 91. What is the derivative of o(a) wrt a?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88613772 and 245128?\nAnswer: 177227544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 109\/2. Let 0 - z + d*z**2 = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.56\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2 = w + 3*y + 7, 48*w + 2*y + 5 = 51*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 32 + 206 = 0. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5748*q**2 - 5733*q**2 + 22937*q**2 - 5724*q**2 - 5730*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + 5) - (-41 + 52)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12069062 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 9*s**2 - 9*s - 17. Let u = -14752 - -14745. Calculate j(u).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a week?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110973759 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/3, 3, -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -9. Let h(p) = 3*p**2 + 9*p + 6. Suppose 0 = 3*r - 2*r + 9. Let b be h(r). Calculate the greatest common divisor of b and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let r(k) = -2*k**2 + 50*k - 130. Let i be r(22). Solve -1 = -i*d - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 252\/3072*(-10)\/(-345). Is -1 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2414 - 12342?\nAnswer: -4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izjppi. What is prob of sequence jz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 31. Let n be h(-17). Suppose 15 = 3*g + 2*g. Solve 4*u + g - 1 = 3*d, 0 = n*d - 5*u - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -194, 6, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 8*a**2 - 7*a + 4. Let u be m(-7). Suppose 40 = 2*c - 4*l, -u*c + 2*c = l - 60. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dc (base 15) in base 4?\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225423447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252415 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b + b - 6*b + 6*b as a + u*b and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186444441 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, -655, -1814, -3269, -5014, -7043, -9350, -11929?\nAnswer: -14774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let m = 2.009 + -0.089. Let r = m - -0.08. Does p = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -3\/16012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -19392 + 77547. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3740656 - -17?\nAnswer: 3740674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:09 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -19. What is the least common multiple of u and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-3)\/(-2))\/3. Let q = 32 + s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 2*a**2 + 20*a - 25. Let s be u(-6). Are -2\/323 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f + o - 22, 40 = 4*f + 3*o. Let c(h) = -9*h - 2*h + f*h + 1. Let x(v) = 2*v**2 + 4*v**3 - 2*v**2 - 5*v + 5. Give -5*c(g) + x(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -32, -54, -80, -110, -144?\n\"Answer: -2*v**2 - 12*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:33 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(0\/13 - (0 + -1)). Suppose 3*c - 4*k = -2*c + 7, c - 5 = -k. Suppose -z = -4*y - 14, -3 = c*z + y - 6. Put j, z, -2 in ascending order.\nAnswer: -2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6*(-1)\/(-90).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/23 (b) 1 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 4, z: 1, k: 7, d: 1, y: 5}. What is prob of sequence yk?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/3, -0.3, 14199 in decreasing order.\nAnswer: 14199, 3, 2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 134 = -66. Let a be (-2)\/s - 2\/(-17). Suppose 0*u + 5*u - 290 = a. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:24 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5238876, 0.03 in ascending order.\nAnswer: -5238876, -3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16478*u - 8239*u - 8238*u - 6. Let l(j) = 4 - 4 - j. Calculate l(f(n)).\nAnswer: -n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -72*l - 984. Let k be w(-17). Solve 189 = 17*a + k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002201021200 (base 3) to base 5.\nAnswer: 241210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 12 + 1 + 7 + (4 - 10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/35 + 34\/119.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/4 (b) 7 (c) -0.9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531071, 2124285, 4779643, 8497145, 13276791, 19118581, 26022515?\nAnswer: 33988593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 - 3*t + 15. Let i be g(6). What is the nearest to 2.3 in -2\/5, -4, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136533.5658 rounded to the nearest 1000?\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 2118272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 191*u**5\/30 - 9*u**4\/8 - 4*u**3\/3 + 129*u**2. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*b + 173*b + y + 59491 = 0, 89217 = 3*b + 5*y. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.68.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262*w**2 - 1410*w**2 - 2729*w**2.\nAnswer: -2877*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -100.2\nAnswer: 10.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 + 3*o**3 + 3*o**3 + (-o + 3*o + 0*o)*(-45*o - 3 + 4 + 47*o - 6*o**2) as l + t*o**3 + g*o**2 + c*o and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 (base 8) in base 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 244115?\nAnswer: -244121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + -0.15. Suppose 0 = -s + z + 206, 155 = s - 3*z - 53. Let g = 1639\/8 - s. Put p, g, 5, -8 in descending order.\nAnswer: 5, p, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - 4. Calculate the common denominator of (-51)\/19 + q\/(-40) and 33\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/sqrt(2)*6)**2 - 4*sqrt(33)\/sqrt(3))*2 + -5.\nAnswer: -8*sqrt(11) + 787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17720 is divided by 537.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.562 - -0.273. What is z rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14730 - 103108\/7. Let c = -6 - -4. What is the nearest to u in 2\/3, c, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13811, 3.7, -0.3 in descending order.\nAnswer: 13811, 3.7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*o - 13*o + 540. Is 13 a factor of o*(56\/(-20) + 4\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6955 - -6953. Which is the closest to -3\/32? (a) -1 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, 0, -159995 in descending order.\nAnswer: 8, 0, -6, -159995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Let w(n) = -n**3 - 4*n**2 - 4*n - 2. Let f be w(l). Let b be 5*(6\/3 + -3). Sort f, b, -1 in decreasing order.\nAnswer: -1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - h**4 + 0*h**4)*(-567 + 13*h - 14*h + 349).\nAnswer: -h**5 - 218*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 37605970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryrfx. What is prob of sequence xfxr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*x - 52, -5024*n + 2938 = 267*x - 5025*n for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:23 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/1213 or 1?\nAnswer: -9\/1213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*p = 75, 0 = 3*s + 5*p - 8 - 27. Suppose 22 = 7*u - s. Let r(d) = 81*d + 5. Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 159*a = -152*a + 39, 0 = 2*z + a + 1. Determine t so that -t - 1\/8*t**2 - z = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 10. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 305*x + 1824. Let m be w(6). Solve -2*y = m*y + 96 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-5)\/(-50))\/(-6)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l - 19. Let t be p(-7). Suppose t*v - 44*v = 21. Suppose b - 3*b - 6 = 0. Are v and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -80. Let o be ((-1)\/t)\/(1*9\/(-288)). Calculate the highest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 607 - 362. Is 49 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 977294218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiisfidifisissi. What is prob of picking 1 s and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - j**2 + j**3 - 2*j. Let n(s) = -6*s**3 + 462 + 10*s - 462 + s**2. What is -11*c(t) - 2*n(t)?\nAnswer: t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908842 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3680328, -3680341, -3680368, -3680415, -3680488, -3680593, -3680736, -3680923?\n\"Answer: -k**3 - k**2 - 3*k - 3680323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*b - 54 = 0, 9*a - 5*b - 55 = 4*a. Let n be (3\/(-6)*1)\/((-11)\/88). Let k be (n - 60\/a) + (-32)\/(-14). Sort 5, k, -1.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1110 - -1719. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:10 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 5 + (6 - 4 + 0)*(-1 + 0 + 2) - 1 + 1 + 1)*(3*n**2 + n**2 - 2*n**2) to the form a*n**2 + j + g*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a. Let l(n) = -5 - 9 + 9*n + 14. What is w(l(x))?\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 25*s - 18. Let n be d(-9). Suppose -5*m - 14 = -2*o, 10 = -5*m - n*m. Solve 5*c = 4*r - 4, 0*r = -2*r - 2*c + o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85484824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 192*v**2 + 117*v**2 + 117*v**2 - 4*v**2 + 0*v**2 + 3*v**2 + 4*v - 4*v - 2*v**2 + (2*v**2 - v + v)*(-5 + 2 + 2) + 1 - v**2 - 1.\nAnswer: 36*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**6*h)\/((h*h*(h*h**(-2)\/h*h)\/h*h)\/h*h*h)*h**(4\/5)*h*h*h*h**(3\/7))**9)**(1\/20) assuming h is positive.\nAnswer: h**(1611\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/14 + 19836\/21?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 150\/12)*10 - (-62)\/14\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 27*f**2 - f + 65. What is the units digit of s(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 + 47 = 0. Let d = 15 + a. Let m(r) = r**3 + 29*r**2 - 193*r - 5639. Let t be m(-14). Solve -t*j + d + 6 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 - 2725\/(-218)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152690221?\nAnswer: 61, 73, 379, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -128, -186, -268, -386, -552, -778, -1076, -1458?\n\"Answer: -2*c**3 - 44*c - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13922 + 0.5.\nAnswer: 13922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10*j\/j**(1\/9)*j**(2\/9)\/j**(2\/17))**(17\/4) assuming j is positive.\nAnswer: j**(841\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + -6*(-1*-2*sqrt(1078) - sqrt(1078) - sqrt(1078))\/((sqrt(12)*-2)\/sqrt(6)*5))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 1501.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {x: 2, w: 1, v: 6, b: 6, y: 1, j: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250470 and 1770.\nAnswer: 14777730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/((2 + 3)\/(-10)). Which is the second biggest value? (a) 1 (b) -0.13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v + f, 1 = -4*v - 4*f + 9. Let p = 38 + v. Let w = p + -24. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 2. Let k be d(1). Suppose 5*i + 0*n + 16 = 2*n, 18 = -k*i - n. Sort -2, i, -2\/3 in increasing order.\nAnswer: i, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -333 + 479. Let a = -44 + w. Let u(v) = -v**2 - 200*v - 4933. Calculate the remainder when a is divided by u(-171).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 1.4 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 - 126. Let b(l) = 15*l**2 - 80*l + 165. Let a(y) = -22*y**2 + 120*y - 247. Let c(t) = v*a(t) + 7*b(t). Solve c(s) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 798782100 to the nearest one million.\nAnswer: 799000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.7928 >= -67.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2298046062 and 6526.\nAnswer: 6526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 0. What is n rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-4)\/3 + 0). Suppose -h - t*h + 35 = 0. Suppose 3*r - 4*x = -3*x + 43, 5*x + h = -r. What is the remainder when 49 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*k + 365*k + 221*k + 423*k - 50*k in the form t*k + y and give t.\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (9 + -6) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) + sqrt(8)) - (0 + sqrt(125)))**2 + 5*(sqrt(5) + (sqrt(180)\/sqrt(4) - sqrt(5) - sqrt(5))) + -2.\nAnswer: 10*sqrt(5) + 962\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 222524673.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27380 is divided by 6840.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 13 (c) -127 (d) 0 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.13 - -0.13. What is the second biggest value in 0.4, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-15))\/((-9)\/27). What is the greatest common factor of l and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0 + 0 - 137*g**2 + 128*g**2. Let b(k) = 3*k**2. Give b(j(z)).\nAnswer: 243*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 12*f**2 - 12*f + 15. Let b be j(11). Solve 3*n = b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 19. Is (14\/(-21))\/(i\/1257) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 8*a - 11. Let k be q(10). What is the tens digit of -7 - -6 - 20*(2 - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1669*v**4\/6 + 6311*v**3\/6 - v**2 - 2*v + 100. Differentiate n(r) with respect to r.\nAnswer: -6676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2 + ((-255)\/(-24))\/5). Suppose h + 4 - k = 0. Solve 3*v - h*v = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c**(1\/8)\/c)**(-13\/4) assuming c is positive.\nAnswer: c**(1131\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -5*j. Solve 5*b**4 + 0*b**4 + 2*b + j*b**3 + 4*b**3 - 4*b**4 + 5*b**2 = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32115408*f - 49548445?\nAnswer: -32115408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106551 is divided by 138026.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 203 and 0.7?\nAnswer: 142.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214\/377 - 12\/29. Let n = -13 - -108. Let r be -2*(n\/90)\/(-19). Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 + 39128*c - 78300. What is x(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.42 + -30. Let w = -0.29 + d. Let q = 0.03 - w. Which is the closest to 2? (a) -0.2 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 42*f**2 - 18*f + 1. Give j(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*k = -0*g - 7, 0 = -g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -152481689.366 and 0.0434.\nAnswer: -152481689.3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -17*z**3 + 3*z**2 - 25. Let w(v) = 16*v**3 - 2*v**2 + 25. Let q(y) = 2*a(y) + 3*w(y). What is the derivative of q(j) wrt j?\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 3. Suppose 3*f + 7 = -p, 0 = -5*p + 3*p - 2*f - 10. Calculate c(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -91. Solve -2*o + u*z + 14 = 0, 3*z = -o + z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 5*j. Let r be 1\/(51\/(-12) + 4). Let m(y) = -2*y**2 + 5*y. Determine r*m(p) + 3*a(p).\nAnswer: -p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9724 and 2860?\nAnswer: 48620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*j + 0*j - 1596*j**3 + 8*j - 200 + 1577*j**3 wrt j.\nAnswer: -57*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154\/695 - 3\/139. Let j = 3.38 + 0.12. Let k = j + -1.5. What is the biggest value in -0.1, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81655470*z**4 - 147012*z**2 - 46*z?\nAnswer: 1959731280*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4*(1813\/735 + 4\/(-5)). What is the nearest to 1\/2 in i, 0.09, 2\/75, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184142 is divided by 30686.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*z**3 + 492992*m**2*z - 6*m**2 + 2*m*z**3 + 20791634*z**2 wrt z?\nAnswer: -6*m**2*z + 12*m*z + 41583268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2610 = -20*p. Let g = 32 - 28. Suppose -14 = -t - 5*u + 18, g*u = -2*t + 70. Calculate the remainder when p is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 6. Let h be u(4). Let v be h\/4 - (-43)\/2. Suppose 0 = -2*l + 59 + 61. What is the highest common factor of l and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 33*d**2 - 19*d + 41. Is k(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*p**5 + 16731*p**4 - 24296*p**3 + 8316*p**2 - 832*p = 0.\nAnswer: -208, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -56?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (6 - 6) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -1 - (-8 + 4 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8*-2*(-12)\/(-80) and -37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 53144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 3) + -4 + -4. Let m = 1 + v. Suppose 4*n = -m*n + 40. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*a = 321, -a + 0*a = -3*g + 191. What is the remainder when g is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.97 + -5. Let i = o + -0.77. Let p = 0.80006 + i. Round p to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -38. Suppose 11 = 4*j + z. Suppose j = b - t - 14, 4*b - t = t + 52. What is the greatest common factor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q - 129 = -529 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(114)*-2)\/(sqrt(6) - (sqrt(6) + (sqrt(216) - sqrt(216)*3) + sqrt(6))).\nAnswer: 8*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8835.\nAnswer: 4\/8835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/sqrt(11))\/sqrt(9) - (sqrt(6)*-4)\/sqrt(2))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. What is the third derivative of 2*d**3 + 2*d**2 + 2*d**w - d**3 - 3*d**2 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96584 divided by -24146?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {i: 3, y: 2, g: 2, h: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 43.872. Let v = m - 15.292. Let q = 15 + v. Round q to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161397227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = -20, -4*d = 2*g - 308. What is the lowest common multiple of d and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i + 5. Let m(w) = 22*w - 4. What is 7*m(f) + 6*q(f)?\nAnswer: 28*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127534.3 millennia in months?\nAnswer: 1530411600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -186*-0.038\nAnswer: 7.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 32, 0, -1094?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o - 20. Is 42 a factor of f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14595061 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*a - 36, -12 = 9969*s - 9966*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128655, -257312, -385967, -514620?\nAnswer: -643271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = 6*z. Suppose 5*w - 30 = u, z*u = 2*w - 1 - 29. Is 74\/1*u\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 - 2 = 0, -5*g + 2*i + 130 = 0. Let v = -4 + g. Let h(o) = o**2 - 28*o - 79. Calculate the lowest common multiple of v and h(31).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 2*g**5 - 2*g**4 + g**3 + (0*g**4 - 4*g**4 + 2*g**4)*(-3*g + 0*g + g) - g**5 - 88*g**5 + 0*g**5.\nAnswer: -83*g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 + 11365*a**3 - 6804525*a**2 + 391805375*a - 3968331250 = 0. Calculate a.\nAnswer: 13, 50, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 789 + 1069 + 801 - 354 + 2469*a wrt a.\nAnswer: 2469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, -0.1, 186, -0.5, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (-1*sqrt(68)*-5 - sqrt(68) - sqrt(68)))*4)**2 + -4)*5.\nAnswer: -960*sqrt(17) + 49020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896975243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 191998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*f = -0*i - 8, 2*i = 4*f + 8. Let n(g) = -g**3 + 3*g**2 + 3*g + 5. What is n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 15558464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 4:41 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {p: 5, g: 5, o: 4, a: 1, r: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:43 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 - 658 + 0*y**2 + 0*y**2 + y**2 + 49*y**4 + y**3 wrt y.\nAnswer: 196*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*g**4 - 177*g**4 + 300*g**3 + 6*g - 6*g - 3*g**2 - 5*g to the form d*g**3 + s*g**4 + w + v*g**2 + a*g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/13 (b) 2\/21 (c) 3\/5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(176) + sqrt(176)*-5 + sqrt(176) + 5)*-3 + -5 + 0)**2.\nAnswer: -1440*sqrt(11) + 14655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-9))\/(3\/9). What is the units digit of (-3)\/(-2) - (-63)\/(-6)*u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 8*u - 12. Let l be f(-3). Let g be (40\/14)\/(99\/(-21) - -5). Suppose 2*j - 10 - g = 0. Solve -l*a - 2 = j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 2, 3, 5.\nAnswer: 2, 3, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-643 - (-2)\/2)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-y + 6*y - 3*y) + (5*y + 5*y - 4*y)*(-2 + 3 - 2)*(-2 + 2 - 1)*(1 - 2 - 1).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144491268*d**3*p + 17*d**2*p - 860804*d*p - 2 wrt d?\nAnswer: 866947608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 18*k**2 - 2*k + 100. Let x(c) = 2*c**3 - 33*c**2 + 3*c - 198. Give -11*l(n) - 6*x(n).\nAnswer: -n**3 + 4*n + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*m + 8, -3*m - 2 = -l - 3. Suppose 2*k + 1145980 = 5*t, -l*t + 6*t + 16 = 0. What is k rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-30))\/(6\/(-15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 25*u - 1. Let m be d(-2). Let c be m\/(-7) + 20\/(-70). Let a = -3 + 10. Does a = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11441726063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-3) + 4\/6. Let p be 26\/z - 4\/8. Let m be (6 + -21)\/(10\/(-12)). Calculate the greatest common factor of m and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*x**3 - 2*x**2 - 638*x - 161591.\nAnswer: 48*x**2 - 4*x - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 122 = -34 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 360, 5 in ascending order.\nAnswer: -4, 5, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10720, -21456, -32216, -43012, -53856, -64760, -75736?\n\"Answer: -2*m**3 - 10722*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 1173.\nAnswer: -91\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 3168*a**2 - 1291680*a - 29203200.\nAnswer: -2*(a + 24)*(a + 780)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 7 - 1)*(-t + 7*t - 3*t)*(2*t + 2*t - 5*t + 1) to the form i*t + g*t**2 + o and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6914*r + 455 = 6949*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -434, -440, -450, -464?\n\"Answer: -2*s**2 - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(5\/(300\/564))\/(19\/(-95)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 17, 83 in descending order.\nAnswer: 83, 17, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14 + 176\/(-462))*12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6283043.\nAnswer: 13, 479, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 132 = 3*p. Let i = p + 194. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172.23 + 807.42. Let a = 625.1902 - d. Let q = -10 - a. Round q to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f + 63*f**2 - 49*f**2 + 2*f wrt f.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167482 to the nearest one thousand.\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/o**(-1\/4)))\/o)\/o**(-2\/5)*((o\/o**8)\/o)\/o*o\/o**(-3\/10) assuming o is positive.\nAnswer: o**(-151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 16. Do t and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 94 = -4*g. Let t(p) = 2*p - 6 + 0*p + p**2 + 6*p. Is t(g) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -4. Let v = -6 - -9. Suppose 0 = -v*m - 2*p + 5 + 24, 5*m = 4*p + 85. What is the smallest value in m, c, -5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 3, u: 1, m: 4}. What is prob of picking 1 t and 1 h?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2*(3 - (-6)\/2). Let i(h) = -n*h + 5*h**2 + 349 - 183 - 197. List the prime factors of i(-5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 - 92372*i - 286136808 = 0.\nAnswer: -19407, -3686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.028 and -3.051056?\nAnswer: 3.023056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.1. Let u be 18 - (6\/(-1))\/3. Suppose 0 = -f + y - 6, 6*y = -5*f + y - u. Which is the nearest to 0? (a) m (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 2037716*y**2 + 2037716*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 29?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 485\/6. Let o = -7264 + 7271. Let x = 0.43 + -0.03. Which is the third smallest value? (a) o (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwfw when four letters picked without replacement from {f: 3, w: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -24?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2856, 11411, 25660, 45597, 71216, 102511?\nAnswer: 139476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188079209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 6*g - 7*g + 6*g**3.\nAnswer: 6*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(325) - (-1*sqrt(325) + -1)) + sqrt(325) + (sqrt(156)*-2*-1)\/sqrt(12).\nAnswer: 4 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -304, -339, -368, -391, -408, -419?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8.2. Let i = -1.502 - -4.202. What is the nearest to l in -0.5, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y - y + y + 6*y - y**2. What is the remainder when 35 is divided by l(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (34 - 1) - -1. Let o = 85 - b. Calculate the greatest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)\/u*u)**(2\/19) assuming u is positive.\nAnswer: u**(-22\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -3*j + 5*n, -2*j + 7*n + 111 = 4*n. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 2.5, -3.3, 0.5, -0.032?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liii when four letters picked without replacement from illiillllilli.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -385, -763, -1139, -1513, -1885, -2255, -2623?\n\"Answer: y**2 - 381*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 312*z**2 - 6*z. Let b(j) = -9*j + 100. Let k(x) = -7*x + 80. Let a(m) = 4*b(m) - 5*k(m). Determine a(u(n)).\nAnswer: -312*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251782 - -3605219.\nAnswer: 3353437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pejperxr. Give prob of picking 1 x, 1 e, and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.379 * -3.22.\nAnswer: 1.22038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3242*t - 3254. Let d be w(1). Let v be 17*(-15)\/24 - 0. Is v greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 8. Let a(x) = -4*x + 9. Let g(l) = 6*a(l) + 7*j(l). Let b be g(1). Let d be b - (-27)\/21 - 3. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 472\/517 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (75 - 39) + -110?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 62. Let i be a(-27). Calculate the greatest common divisor of i and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(3\/(-15)). Let s be -2 + 0 + d + 5. Let g = s + -5. Solve 2*m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 545 + -3251\/6. Find the common denominator of (-4422)\/(-308)*3\/90 and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 5. Let p = 0 + -1\/3. Sort n, p, 5.\nAnswer: p, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4063 and 956.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60499 = 360*n - 341. Let g(v) = 2*v**2 + 4*v - 3. Let a be g(-4). What is the greatest common divisor of a and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*-1 - (140 - 142). Suppose 0 = 5*l - 25 - 55. Let x = l - 47\/3. Which is the second biggest value? (a) x (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*x + 31. Let v = -13 + x. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*g - 6 + 36, 2*j + 2*g = 0. Suppose -j*r = -2*r. Let b = -197 - -199. Solve n + 5 = -r*n - 4*c, b*n - 8 = c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + 4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, z: 1, q: 1, g: 1, h: 2}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/33 - 10\/25*-1 and 103\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 8*b**2 + 2. Let k be a(8). Let p(z) be the first derivative of z + 1\/3*z**3 - z**2 - k. Give p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6195737.\nAnswer: 6195737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - 7*c**2 + 7 - 3*c - 15*c**3 + 13*c**3. Give u(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:49 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/353 < 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 340*j = 345*j - 91, -2*w - 10 = 4*j for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*r**2 - 11*r**2 + 16*r**2 + (-1 - 3 + 6)*(-4 - r**2 + 4) + 56 + 12*r**2 - 56 + (-1 + 0 + 0)*(-3*r**2 + 3*r**2 + r**2).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 + 9c61?\nAnswer: 9c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(4 + (-1 - 2)). Let h = m + 24. What is the tens digit of (-2)\/5*h\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:11 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuaajjeueuuyuuayjem. What is prob of sequence aeej?\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) 0.5 (c) -0.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10 and 34\/295?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 2*t - 7 - 2*t. Suppose 3*p = -5*h - 0*p - 31, -p + 35 = -4*h. What is the units digit of k(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r - 2 - r + 8*r + (-10*r + 15*r - 15*r)*(2 - 2 + 2) in the form d + s*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(5291*j + 94*j**3 - 10567*j + 5009*j) to o*j**3 + r + p*j + u*j**2 and give p.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 9*q**2 - 8*q - 9. Let u = 5 + 22. What is the remainder when u is divided by j(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {o: 5, u: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -3)\/(8\/(-64)). Suppose -4*r = p + 16. Let f be 12\/(r\/2) + -1. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -2. Let a(k) = k**2 + 6*k + 5. Suppose 0 = n + 4*b - 2, 2*n + 6*b - b = -2. Calculate the remainder when l is divided by a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + (-6 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*i**3*w*y**2 + 11*i**3 + 30*i*y**3 + 49*w*y**3 wrt w.\nAnswer: 19*i**3*y**2 + 49*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/28 - -5\/14. Let k be 13\/5 - 24\/40. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53604419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1703 at most 2824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvrvvvvr. Give prob of picking 1 v and 2 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -120, -118?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 212.8358 to the nearest integer.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63435 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/12*2*714\/(-5)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10628*c - 10627*c = 3*p + 15, 4*p + 20 = -c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:37 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83512241 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: What is 63 minutes before 8:44 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + -10 - (6 + -11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -158584 (base 11) to base 9\nAnswer: -413810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + (-3 + 19)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4793 - 3830. Is 107 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = 5*u - 201, 4*a - 199 = -u. Let p = a - 56. Let k(s) = -4*s + 21. Let t be k(p). What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(102)*1 - sqrt(102) - sqrt(102))*6*-3)\/(-6*sqrt(18)\/sqrt(3) + (sqrt(54)*-1)\/sqrt(9)).\nAnswer: -18*sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*c + 42 = 292*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1. Let v(d) be the third derivative of -d**7\/2520 - d**6\/144 - d**5\/20 + 3*d**2. Let l(r) be the third derivative of v(r). What is -3*i(g) + l(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 6*k + 4. Is n(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p - 2. Calculate o(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 18*h + 47. Let o be s(15). Let u be 65\/(-30) - 2\/(-3). Is o > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4613716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -7*v + 3*v. Suppose -1615 = -3*g - 2*g. Suppose 3*r + g = 4*s, 0 = 3*s - 2*r - r - 243. Calculate the greatest common factor of v and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0010607 years?\nAnswer: 0.00010607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.33 + 0.23. Let p = -5.1 - l. Suppose -5*k + 0*h + 33 = -4*h, -h - 2 = 0. What is the third smallest value in k, p, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35359271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 242.8\nAnswer: -121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 + 3*b - 3. Let x = -222 + 254. Let j(v) = 88*v**2 + 32*v - 32. Give x*z(n) - 3*j(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7682 and 65\/46092.\nAnswer: 46092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*z + 1069 = 0, 0 = -3*h + 3*z + 480 + 579. Suppose -5*m + 92 = -h. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4453 - 558?\nAnswer: -5011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, 5, -1, -142, -11 in decreasing order.\nAnswer: 18, 5, -1, -5, -11, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and 0.1941749036368.\nAnswer: 0.1041749036368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105.1 - -114.1. Which is the second biggest value? (a) g (b) 0.3 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5651585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4860, -4774, -4684, -4590, -4492?\nAnswer: -4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 + 17 - (5 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000403255405 rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116858.\nAnswer: 2, 7, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2928)\/610 - 6\/5. Is -84 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3123 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from oouffff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 1 = -2*c, -1152193*c + 1152194*c - 2*f + 1 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 4 - 20 + 5*b**2 - 13*b**3 - 6*b**2 to the form h*b + j*b**2 + v*b**3 + a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)*(-1)\/1. Suppose r = -4*j + 16, -2*x - 2*j = -x - 13. Let v = 0 + 4. Put x, v, -1 in descending order.\nAnswer: x, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 11. Let x(c) = -1. Let j(g) = -l(g) + 2*x(g). Suppose -k = 3*b + 11, 5*k + 44 = -0*k - 4*b. Does 16 divide j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - (-235)\/35. Suppose 25*i - 19*i = 210. What is the greatest common factor of i and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*5 - (6 + -5). Let u be d\/10 - (-463)\/5. Let g = u + 129. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 40 = -3*b + d, -5*b + 68 = -4*d. Solve -b*x = -0*x - 48 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Suppose 0 = -0*n - 2*n + 4. Let h(q) be the first derivative of -2*q**n - 2 - 1 + q**2. Determine h(z(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:32 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**3 - 6*g**2 + 9*g + 35. Let h be p(4). Is 40 a factor of (1 + (-15)\/h)\/((-4)\/264)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - (4 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 + 3*n + 11. What is v(4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003223122 (base 4) to base 7.\nAnswer: 2233123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, c: 2, s: 5, b: 4, x: 1}. What is prob of picking 3 b and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose 0 = -m*j + 4*j - 28. Calculate the remainder when (-33)\/(2 - j\/(-8)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j - j - h, j - 28 = 5*h. Suppose -5*x + 740 = -j*x. Round x to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 190841455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5739110 greater than -63130212\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 13*h + 4. Suppose 2*k = -5*f + 10, -50 = -4*k - f + 6*f. Is 17 a factor of z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1\/4, -0.5, 33, -8, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*p - 3, 1 - 2 = 3*p + 4*m. Let c = p - 2. Let a = -56 - -166\/3. Is c <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 + n**3 - 330.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19974 - 198*w**3 - 19974 + 37583*w**2 - 37583*w**2.\nAnswer: -198*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 23 = -4*x, -69*x - 28 = -74*x + a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4828 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**10*d\/(d\/d**(-28\/5))*(d**(-37)*d)\/(d**(-39)\/d) assuming d is positive.\nAnswer: d**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -7 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8\/((-96)\/12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -487*l**2 - l - 268. Let i(p) = -1463*p**2 - 3*p - 801. Let m(y) = -2*i(y) + 7*k(y). Differentiate m(g) wrt g.\nAnswer: -966*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000361 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 21*f**2 - 10*f + 7. Suppose -3*l - 4*y - 10 = 0, -4*l - 3*y = 295 - 270. Determine q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9471709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4\/5 (b) 253 (c) -1 (d) -173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254668145?\nAnswer: 3, 5, 83644543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/35)*p)\/p**(6\/13))\/((((p*p**(-4\/25))\/p)\/p*p*p)\/(p\/(p*p**(-7)*p))) assuming p is positive.\nAnswer: p**(15109\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4*f*f\/f**4)\/((f**3\/f*f)\/f**1) assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -71*x**3\/8 + 196245*x**2\/4 - 67803684*x + 1909924 = 0.\nAnswer: 2\/71, 2764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*d**3*r**2*w**2 - d**3*r*w**2 + 2*d**3*r + 2*r**2*w - r**2 - r*w wrt w?\nAnswer: -282*d**3*r**2 - 2*d**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1, -3\/4, -11, 0.3, 266?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94626 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 5. Let d = -17 - -10. Let o = -3 - d. Determine f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200)*2 - sqrt(1200))*4*2)\/(-5*(sqrt(4) + sqrt(4) + (sqrt(4) - sqrt(12)\/sqrt(12)))*2).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -10*f + 552. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 609, -1, 2 in descending order.\nAnswer: 609, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71143, -71111, -71059, -70987?\nAnswer: -70895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6 = -2*c, -6*c + 9*c = -2*r + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 410899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 118 - 33 - 33 - 52 - 87*n in the form l + r*n and give r.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10815136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 17*d**2 - 27*d - 51. Give u(-13).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 29*i**2 - 56*i + 2. What is r(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -154, 24, 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5)\/((-118)\/472)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 72.7. Let j = 720 - 5041\/7. What is the nearest to 1 in t, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 724 and 2896?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 6, u: 4, j: 3}. What is prob of picking 1 j and 1 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10)**(-1\/11) assuming s is positive.\nAnswer: s**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3718660, 3718658, 3718658, 3718660, 3718664?\nAnswer: 3718670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195 - 189. Put 2\/5, -0.5, 0, k in ascending order.\nAnswer: -0.5, 0, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + d**3 + 4*d**2 - 3*d**2. Suppose -9 = -3*r - 3*o, 0 = -3*r - o + 1 + 14. Suppose 3*l + 11 = -2*m, -2*m - 7 = 5*l + r. Give g(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929775 divided by -33.\nAnswer: 28175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:29 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -24) + -29 - 7 - 33.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 13*c. Let n(z) = -z**3 + 3*z**2 + 4*z + 1. Suppose 3*f + 109 = 103. Let d be n(f). Let l be r(d). Solve l = j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/120 + 7*g**5\/60 + g**4\/24 + g**3\/2 - 2*g**2. Let o(m) = m**3 - 9*m**2 - 10*m - 3. Let k be o(10). Does 18 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/(r**(-1\/2)\/r*r))**(-1\/21) assuming r is positive.\nAnswer: r**(-13\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 24*a**2 + 377*a + 244. Give w(35).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6317 - -6960.8. What is y rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921669?\nAnswer: 3, 7, 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - 235*b + 27*b**2 - 190289 + 190286 - 25*b**2 in the form d + u*b**3 + k*b**4 + c*b**2 + t*b and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/30*10\/2. Suppose -27 - c = -5*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -28, 0 in increasing order.\nAnswer: -28, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 1969369896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003611362 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3453, -6915, -10389, -13881, -17397?\nAnswer: -20943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -292*g + 553*g - 4751*g**2 - 261*g in the form t + y*g**2 + z*g and give y.\nAnswer: -4751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8696 or 1597?\nAnswer: 8696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13910 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/168*-4*((-45)\/(-10) + -3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t - s, 12 = -4*t - s - 3*s. Suppose -t = -3*k - 14. Which is the biggest value? (a) k (b) -1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j)*(-1 + 0 + 0) - 6*j + 2 - j - 11*j.\nAnswer: -20*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfixidxixdxueeedi. Give prob of sequence duee.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 1 - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31255068 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1118627883 rounded to the nearest one hundred thousand?\nAnswer: -1118600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) -2\/5 (c) 2 (d) 3019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 22*o - 27 as i + z*o and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94.1 - -94. Which is the third biggest value? (a) 0.01 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(3)) + (sqrt(14)\/(sqrt(7) - 5*sqrt(7)))**2.\nAnswer: -sqrt(2)\/2 + 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175.1 - 175.826. Is -2 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26c9 (base 14) in base 13?\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -4.4. Let i = 1.93 + 0.07. Sort i, n, -3 in ascending order.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463122299?\nAnswer: 31, 103, 145043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20497627*p**2 + 71495905*p wrt p?\nAnswer: -40995254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36429, 72877, 109323, 145767, 182209, 218649, 255087?\n\"Answer: -v**2 + 36451*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.46395 and 5?\nAnswer: -142.31975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*z + 4*z + 4, 2 = -5*z + 2*r. Let c(w) be the first derivative of -1\/2*w**2 + 3 - w**3 + z*w. Find the second derivative of c(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 44, 82, 136, 212, 316, 454, 632?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2448)*4 + 5 + (4*sqrt(17) + -4)**2.\nAnswer: 16*sqrt(17) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 82 = 64 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**5 + 122445*q**4 - 244830*q**3 - 979480*q**2 = 0?\nAnswer: -2, 0, 4, 24487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55253372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11156844, -11156808, -11156772, -11156736, -11156700?\nAnswer: -11156664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o - 10*o**2 - 22*o**2.\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m. Suppose m*d = -d - 2. Let c = 8487 - 8486. What is the third biggest value in d, c, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*x + 29, 4*l + 24 = 8. Solve 7*v = x*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e7 (base 15) to base 7.\nAnswer: -3625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -5*p + 4*t, 2*p + 2*t = 31 + 33. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*o - 9*o - 41 = 0, 2*o + 8 = 0. Suppose 3*b = 8*b - 25. Put -1, f, b in descending order.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753903 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 18 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 b when four letters picked without replacement from {n: 2, b: 3, a: 10, s: 1, c: 1}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaghwwawobwgwhwwgo. What is prob of sequence og?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 + 110 = n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43360 + 78451. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*-15 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 2*m + 1. Calculate y(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:48 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 65*k + 718. Does 116 divide d(50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 3*i - 2*s, 0 = -5*i - 5*s + s + 379. Let f = i - 61. What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/7 + 4*j**3\/7 + 118*j**2\/7 - 120*j\/7 - 1800\/7.\nAnswer: -2*(j - 6)**2*(j + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*r - 12 - 61*r + 8 + 2.\nAnswer: -150*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 45 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*j**2*s**3 - j**2*s**2 - 3*j**2*s - 3*j*s + 3286045*s**4 - 2*s**2 + 14086020 wrt s.\nAnswer: -414*j**2 + 78865080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.11875 centuries in years?\nAnswer: 5311.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 349 and -2?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8907712 and -22654.\nAnswer: 8885058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 10*c**3\/9 - 2*c**2\/9 - 34*c\/9 + 8\/3.\nAnswer: 2*(c - 1)**2*(c + 3)*(c + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85347096 to the power of 1\/2, to the nearest integer?\nAnswer: 9238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 27*w + 16*w + 9 - 2*w**2 + 19*w - 24*w. Let k be h(19). What is the highest common factor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*s + 5*q - 41531, 2*q = -s + 13845. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10495*r**3 + 5204*r**3 + 5292*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 2*i - 63. Which is greater: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 6 + -10 - -25. Solve 0*z = 6*z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 18 = a, 2*a = 5*f + 9 - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1988 + -1251. Calculate the highest common divisor of d and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*1*-1)**2*-4.\nAnswer: -4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 39*q**3 + q**2 - 6*q - 6. Let k(o) = -44*o**3 - o**2 + 7*o + 7. Determine 7*i(a) + 6*k(a).\nAnswer: 9*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/x*x**(-8)*x**9\/(x\/x**4))**(-10\/11) assuming x is positive.\nAnswer: x**(-85\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 74*r. What is y(-1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r + 5. Let c be h(7). What are the prime factors of ((-18)\/15)\/(c\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(165) - sqrt(165))\/sqrt(5)*1)\/(sqrt(147) - (sqrt(147) - -1*(-1*sqrt(147) + sqrt(147) + sqrt(147)))).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(203*t - 83*t - 909*t) - 1 + t + 1 + (-3*t - 3*t + 5*t)*(2 - 5 + 1).\nAnswer: -1575*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-657))\/(31584\/(-288) - -109).\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5439, 21892, 49315, 87708, 137071?\n\"Answer: 5485*d**2 - 2*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14574694 to the power of 1\/2, to the nearest integer?\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let h(i) be the second derivative of 31*i**3 + 2*i**2 + 1086*i. What is h(q(d))?\nAnswer: -186*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 1 k when three letters picked without replacement from {k: 2, w: 1, b: 1, e: 2, o: 1, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3 + 0*w**5 - 1\/2*w**2 + 0*w**4 - 1\/6*w**6 + 0*w + 0*w**3. What is the second derivative of f(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*f - 0 - 7, 2*l + 8 = -2*f. Let d(h) = -3*h. Calculate d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let i(d) = d + 1. Let q(l) = l - 1. Let o(u) = -i(u) - q(u). Determine o(j(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2118 + -2074. What is the lowest common multiple of 92 and x?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o - 2 - 6*o - 3 wrt o?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**2 + 0*r + 1\/24*r**4 + 0 - 1\/6*r**3. Let w(n) = 5*n - 6. What is 3*k(y) - w(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlllddjkldfujjljl. Give prob of picking 1 k and 2 j.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205121 is divided by 25058.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432310 and 1020.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176.38 + -176. Let t = -0.9 + 0.55. Let y = t + s. Which is the third biggest value? (a) -4 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72.2 - 0.8. Let v = a - -72.99999957. Round v to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3 - 7. Suppose 0 = 5*j - 2*p - 44, 2*j + r*p - 9 + 3 = 0. Calculate the remainder when 20 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/6 + d**2\/2 - 5*d. Suppose -3*q = -3*a, -3*q + 10 = 3*a - a. Determine c(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1893870 or 1893876?\nAnswer: 1893870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 147, 156, 167, 180, 195?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 295 and 303 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*b**2 - 4*b - 1 - 66*b**2 + 15*b**3 - 3*b**3 - 8*b**3 to n*b**2 + o*b + u + t*b**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20223 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 25. Suppose 10*t - 787 = 263. Suppose -3*d - f*m + 37 = 0, 5*d = -2*m + 4*m + t. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4.2 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 2*q**3 + 21 - 5*q + 10*q + q**3 - q**2. Let k be j(-3). Find the second derivative of -28*c + 46*c**5 - k*c + 62*c wrt c.\nAnswer: 920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38231 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 2*i**3\/33 - 194*i**2\/11 + 18818*i\/11 + 134. Factor a(u).\nAnswer: 2*(u - 97)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-11))**(-24)\/((c\/((c*c*c*c**(-22))\/c))\/c**(8\/3)) assuming c is positive.\nAnswer: c**(-919\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(-49)*(-62)\/(-2) and (-58)\/(-11)*1\/2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*r = 40, 5*i + r - 109 = -9. Suppose 10 = -2*p + 2, -3*p - 17 = -n. Suppose 5*z + 5*q = 40, -z - n*q + i = -q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -395*x. Let o(i) = -3*i**2. Determine o(b(a)).\nAnswer: -468075*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1090 and 32210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let n be b(-1). Let h = n + 2. Suppose d - 3*w = 3290006, -4*w = -h*d + d + 3290008. What is d rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8063 divided by 1?\nAnswer: -8063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289720634 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 280*s + 22 = -286*s, -x + 3*s = -14. Factor -x*c - 1\/4*c**2 - 3.\nAnswer: -(c + 2)*(c + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52418 divided by -5?\nAnswer: 52418\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -356*y + 2141. Let d be h(6). Let g(m) = -m - 47. Let w(z) = 2*z + 70. What is d*w(j) + 8*g(j)?\nAnswer: 2*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (9 - (7 - 23)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -504 + 3?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/60 - j**4\/24 + j**3\/6 - 50*j**2. Let a(f) = -10*f**2 - 4*f + 4. Give -a(k) + 4*m(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 13. Let u = -11 - l. Let o be u\/(16\/2 + -3). What is the third biggest value in o, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0239935682 rounded to 5 dps?\nAnswer: -0.02399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102034*q**5 + 25*q**2 - 151*q - 1.\nAnswer: 6122040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (sqrt(117)*3 - sqrt(117)))**2.\nAnswer: -12*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 1153 + 389. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32013 + 32030. Solve r - 162 = -p*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26304 and -26305 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 863264787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-4)\/(-3))\/((-13)\/(-12) + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 39 (c) 5000\/11 (d) 4 (e) 0.1 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-8) - (-8)\/(128\/12). Let g(l) = 6*l + 10 - 4 + 19. Let s be g(d). Solve 4*v + m + 16 = 0, 3*v - m + 20 = s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 560.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-5)*-5 + 1. Suppose t*a = 6*a - 1. Let x(n) = 9*n**2. What is x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 109)*(-1 + 2). Let y = n + -67. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -0.4, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00272 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-1)*m*m\/m**(-1\/3)*((m**(2\/7)*m)\/m)\/m**7 assuming m is positive.\nAnswer: m**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prkr when four letters picked without replacement from {k: 1, y: 1, p: 4, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -24*n**3 - n**2 - 7*n - 5. Let c be l(-1). Suppose -5*i + 5*g + 41 = -i, 0 = 5*g + c. Solve i = -3*r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 - 128*n**4 + 2982*n**3 - 18388*n**2 + 18401*n + 39900 = 0. Calculate n.\nAnswer: -1, 3, 7, 19, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/12 and (-18)\/10*(-126)\/27?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*y + 2*y. Let c be 16\/5*(-5)\/(-2). Suppose 4*x - c = 28. Calculate the remainder when x is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + (5 - 8) + 13 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-2)\/sqrt(8) - (sqrt(162) - (sqrt(162) - sqrt(162)*-2)))\/((sqrt(225) - (-2*sqrt(225) + sqrt(225))) + sqrt(9) + -4*-1*sqrt(9)).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6107*t = -5923*t - 6808 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/386859 and -103\/61218.\nAnswer: 415486566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*r = -0*r, -5*z + 98*r - 287*r + 97*r - 5 - 4 = -96*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 - (-7 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 6*n - 12*n. Suppose -3*w - w + 4 = -4*k, -2*k + 33 = n*w. Suppose 2*i + 1065 = w*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05595103 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 39. Let i be x(0). Let r = -37 + i. Which is the nearest to r? (a) -1 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -59. Let l(j) = j - 7. Let q be l(7). What is the remainder when q + (132\/3 - -1) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 46578.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 7 - (-118)\/34. Let p = f - -62\/85. Factor 0 + p*c**3 + 2\/5*c**5 + 0*c + 2\/5*c**2 + 6\/5*c**4.\nAnswer: 2*c**2*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 1. Let x(u) = -u**3 - u**2 - u + 6. Let k(g) = -3*s(g) - x(g). Let l be k(3). Solve 12 = -3*i - l*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = g, -3*s - 8 = -2*g - 21. Let d be (-120)\/(-16)*g\/3. Is d\/6*-3*6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from ctjlqqcclqii?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (50\/(-15) + 5 - 3). Factor 2\/3*s**3 - 1\/3*s - 1\/3*s**4 + 2\/3*s**2 - 1\/3*s**5 - v.\nAnswer: -(s - 1)**2*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 34\/(-8). Let q(d) = d**3 - 7*d**2 + 8*d - 7. Let f be q(6). Find the second derivative of -j*l - l**f + 2*l - l**5 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 + 5 - (2 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/153, -0.3, 0.5, 19, 0.4, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:57 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 25. Let c = 8 + g. What is the least common multiple of c and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.07231 + -0.07231. Let l = -0.7 - -0.4. What is the fourth biggest value in 1, q, l, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**4\/24 + 7*b**3\/6 - 7*b**2. Suppose -o + 8 + 8 - 21 = -2*s, -4*s = 0. Let r(v) = -4*v + 22. What is o*r(n) + 16*j(n)?\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2*(sqrt(252) - (0 + sqrt(252) + 1)))*-1*3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 20670 + 7700. What are the prime factors of a?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/5))\/a*a*a)\/a)**(-10\/7)\/(a*(a\/(a**0*a)*a)\/a)**(2\/3)*((a**1)**(-2\/75))**(-6) assuming a is positive.\nAnswer: a**(-188\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + h = 10, -2*h + h - 30 = -4*b. Solve -5*t - 33 = v - 13, 5*v = 2*t + b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.9 + 44. Which is the closest to -4? (a) v (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6286 - -6312. Calculate the lowest common multiple of 702 and p.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8729602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05365548401 + -0.08?\nAnswer: -0.13365548401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**3 + 11*b**2 - 20*b - 17. Let l be (-4)\/30*3 - 36\/10. Let z(d) = -5*d**3 + 4*d**2 - 7*d - 6. Give l*c(k) + 11*z(k).\nAnswer: k**3 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0, -118, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by (8*(-2 - 22\/8))\/(6\/(-12))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 f, and 1 b when four letters picked without replacement from {j: 4, f: 3, c: 4, y: 1, b: 1}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44274, -44368, -44522, -44742, -45034, -45404, -45858?\nAnswer: -46402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 185*w + 544. Give g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/15*3*1. Let r = m + 28. Solve -2*h = -5*w - 19, -2*h - 4*w - r = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*i - 14 = 0, 14*n = 11*n + 3*i - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15 = b + 2*b, -4*b + p = -9. Let u(y) = -y - 4. Let s be u(-3). Let l be 0 - s - (-18)\/9. Solve l = b*h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24585574729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4451 - 138*j - 4451 to t + y*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*o + 0 + 1 = 0, 20 = -5*t - 5*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 18. Calculate the lowest common multiple of y(17) and 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2*l + 1. Let h be v(3). Let f(o) be the first derivative of -3 - 5*o**3 + 0*o**2 + 9\/4*o**h + 0*o. What is the third derivative of f(y) wrt y?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108)*-5 - sqrt(108)) + (sqrt(243)*-2)**2.\nAnswer: -30*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 2*q**2 + q - 2. Let i be 3\/12 - (-35)\/20. Determine s(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.40208 + -0.404. What is i rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((4 - 1) + -2). Let u(y) be the first derivative of y**3\/3 + 7*y**2\/2 - 10*y + 44. Let x be u(t). Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = -23. Sort 2, -5, h in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*r**2 - 33*r + 235 wrt r.\nAnswer: -24*r - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 35 - 30 + 65.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12*c + 539 = 7*c, -2*c + 283 = q. List the prime factors of q.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6561 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22091 + -22079. Solve 5*r = -3*m - x, -87 + 86 = -r - 4*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5384 is divided by 485?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296*m**2 + 46*m**2 + 155*m**2)*(m + 0 + 0) + 3*m - m**3 - 3*m + 2*m - m**3 - 2*m.\nAnswer: -97*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:58 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 40*q**2 + 2*q - 60. Let w(d) = -d. Calculate l(w(j)).\nAnswer: 40*j**2 - 2*j - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 15*h - 374 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 + 2\/36*129. Suppose 2105 = f*u - 2*u. Let x = -4139\/10 + u. What is the common denominator of x and -75\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -396.15 to 0 dps.\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/200 and 47\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14521 - -2?\nAnswer: -14518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012200212 (base 3) to base 10.\nAnswer: -43520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in years?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14080 and 1045.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.1 + 2.1. Let r = -7.8 - n. Let q = -0.2 + r. Does q = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t - 12*t + 15*t**3 - 9*t**3 - 8*t**3 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:21 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 1.2, -1\/2, -0.4, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 g when four letters picked without replacement from {x: 1, a: 5, g: 1, m: 7, f: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 j when three letters picked without replacement from wwjwjxixoowwijjwwx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - 6. Let a = -0.39 - -2.09. Let b = a + k. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1298 and 25\/1062.\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-4))**(4\/3) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 2193*o**2 - 170394*o - 1487640.\nAnswer: -3*(o + 10)*(o + 77)*(o + 644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*d - 1169 = -q, -5*q + 5773 = 3*d. Suppose -q = 32*s - 45*s. What is the remainder when s is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 97, 290, 597, 1024, 1577, 2262?\n\"Answer: c**3 + 51*c**2 + 33*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 146.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.098299 - -4.098299. Let l be (-14)\/(-12) - (-2)\/(-3). Sort l, i, 1, -5 in decreasing order.\nAnswer: i, 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:16 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*c = 10, -3 = -4*c + 5. Let d = 1.82218 + 0.17782. What is the closest to 1 in d, 1, l, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 119253195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 - 305. Sort -4, 2, i in descending order.\nAnswer: i, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*u + 44, -3*u = -q - 7*u + 52 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + j)*(-1 + 3 - 1) + (-1 - 4 + 3)*(-j + j - j) - 3*j + 3*j + 3*j + 0 + 0 + 2*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/23, -2237, 0.1, 6, -0.2?\nAnswer: -2237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -20 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010212110220112 (base 3) to base 16.\nAnswer: fa5365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(80))\/sqrt(8))\/(-3*sqrt(405)*-6).\nAnswer: sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f - 47. Let h(c) = -4*c + 24. Let y(r) = -11*h(r) - 6*s(r). Let v be y(-4). What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-63)*-3 + (-364)\/98?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/648?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -568000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-84)\/36) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j**5 - 7*j**5 + 82*j - 52*j wrt j.\nAnswer: 520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -470 or -26449?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35679 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -0.0714?\nAnswer: -0.4286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -193 + 229 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -4, 64 in increasing order.\nAnswer: -4, -2, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92226 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 less than or equal to 1.3647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 52\/12)*0. Suppose w = -4*b + 5*b - 23. Let y = b - 18. Solve 2*m - y = q, m - 2*q + 0*q - 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 9:02 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11062*i + 8908*i = 114162 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195187 + -296293819\/1518. Find the common denominator of -49\/690 and y.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/20*(-1720)\/96. Let y = i + 509\/8. Calculate the common denominator of (-97 + -1)*7\/(-252) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5*4\/80). Factor -37*m - m**2 + 41*m - u - 10*m.\nAnswer: -(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001214 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22*(2\/(-1))\/((-85)\/(2975\/140))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2701509*b**3*c**3 + 320*b**2*c**3 + b**2*c + 15*b*c**3 + 76 wrt b.\nAnswer: 16209054*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 857454850 to the power of 1\/2, to the nearest integer?\nAnswer: 29282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 7, 4\/9 in increasing order.\nAnswer: -12, 4\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**2 - 59*m**2 + 10 + 18*m**2 - 7 - 77 + 25*m**2.\nAnswer: 5*m**2 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1095564, -2191094, -3286624, -4382154, -5477684?\n\"Answer: -1095530*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 461125?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013002365741 rounded to four dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66.3468 - 66.46. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 41. Let n be p(39). Suppose n*v - 52 = z + 1, 28 = v + z. Let x = 6 - 3. What is the highest common divisor of x and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -34*h + 190. Suppose h = -584*y + 588*y. Solve -5*w + y = 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.068 - 0.06799681. Round h to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2813443 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 448 = j, 4*j - 5*l = 771 + 1017. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 8*f + 5. Let d be k(0). Solve 4*t + 5*p - p + 16 = 0, d*t - 5*p = -10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + 3445*s - 27968. Give a(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 281802.\nAnswer: 1409010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 3*q**2 + q + 2. Let t be w(-2). Suppose 8*m - t*m = 12. Let p = -3 + m. Sort p, -3, 1 in increasing order.\nAnswer: -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, l: 1}. What is prob of picking 2 h and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (7 - (3 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25952.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111110 (base 2) in base 5?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - -5 - 1) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/3*(-2)\/7. Let z be -2 + -3 + (10 - l). Find the third derivative of 2*a**4 - 183*a**3 + 183*a**3 + 37*a**4 + z*a**2 wrt a.\nAnswer: 936*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 326709333 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 133481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 622050?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323245 by 64649.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -2113584\/17 and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11332113123 (base 4) to base 15.\nAnswer: 20e0b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13018000 = 79*k - 102*k. What is k rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 6. Let p = -22.9 - -23. Which is the second smallest value? (a) p (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m**3 + 6*m**2 - 4*m + 22. Let o(p) = 3*p**3 + 2*p**2 - p + 7. Let z(f) = -2*i(f) + 7*o(f). Let d be z(4). Let r = 184 - d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 1\/6, -2\/11, -0.024?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -5c?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:00 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -1 - (6 + -9 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212\/33 - -19\/3. What is the common denominator of x and -3\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*h**5 - h**4 + 2455*h**3 + 1486*h**2 - 9*h.\nAnswer: 960*h**2 - 24*h + 14730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5372)\/408)\/(-79)*-324?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1602248 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 12561*b + 1182*b - 5)*(b - 3*b + 0*b).\nAnswer: 22758*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**3 - w**2 + 2*w. Calculate the lowest common multiple of 11 and o(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6)**(28\/3)\/((w\/(w**(1\/2)\/w))\/w**7) assuming w is positive.\nAnswer: w**(123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2886011.\nAnswer: 2886013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2230 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-513)\/(-494)*604\/453?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2285, -4576, -6851, -9110, -11353, -13580?\n\"Answer: 8*i**2 - 2315*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 2*y - 4. Let t be o(3). Let r = -3 - -4. Let s(c) = -r + c**2 - 3*c**2 - 2*c + 0. Determine s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499503 smaller than 6499507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(272) - (-4 + -1 + sqrt(272))) + -2 + -3 + (sqrt(272) - sqrt(272)*-2) + sqrt(272) + -3 + 3*sqrt(272) + 5)**2.\nAnswer: 112*sqrt(17) + 13330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125223130 (base 6) to base 15.\nAnswer: -3433c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790 + 1726 - 475 - 461 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 5*w - 4*w)*(-15 - 4 + 0)*(5*w - 2*w - 4*w)*(6*w - 6*w + 2 - w) as r*w + u + x*w**3 + j*w**2 and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*q + 153*q - 76545. What is the highest common factor of 35 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 520*m - 68 + 19 + 29 + 20 to the form z + k*m and give k.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 24.72785 millennia?\nAnswer: 296734.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8277654 by -435666.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Let r(x) = -162092*x**2. What is r(w(g))?\nAnswer: -162092*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19320 divided by 1288\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 6*y**4\/7 + 24429*y**3\/7 + 158559*y**2\/7 + 97416*y\/7 - 585360\/7 = 0.\nAnswer: -4065, -4, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 4:45 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49116*x + 407 wrt x.\nAnswer: 49116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:08 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeevveollvveheevev. What is prob of picking 1 l and 1 v?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s*s\/s**(-3\/13))\/s)*s)\/s*s)\/(s\/(s*s**(-8))))**42)**(-49) assuming s is positive.\nAnswer: s**(193452\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -774*p**2 - 6188*p + 203. What is n(-8)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/14644 and -31\/49.\nAnswer: 102508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 320880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Suppose 0 = 2*c - i - 2, c + d*i = -2*c + 14. Let j = 0 + -0.2. Put -4, j, c in increasing order.\nAnswer: -4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -707 * 0.037\nAnswer: -26.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45025157117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/180 and 48\/1535875.\nAnswer: 55291500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -y, -y - 2*s + 6 = s. Let j(t) = -1. Let h(g) = g - 3. Determine y*j(u) + 2*h(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = r, m + 11 = r + 2. Suppose -10*a + r*a = 32. Let q be 6\/(-2) + (-16)\/a. Let g(f) = f**3 + 6*f**2 + 7*f + 4. What is g(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*b**3*p + 219*b**3 - 3*b**2 - 27029*b*p + 4*p wrt b.\nAnswer: -246*b*p + 1314*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let b(h) = 110012*h. Give b(z(q)).\nAnswer: 220024*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 25*q**2 + 5*q + 2. Let m(u) = 4*u**3 + 26*u**2 - 4*u - 2. Let r(s) = 4*g(s) + 5*m(s). Find the third derivative of r(n) wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*u**2 + 6589*c*u - 11*c + 2960637*u**2 + 3*u wrt u.\nAnswer: -2*c + 5921274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 3 + 2 + -7. Suppose a*c - 32*c + 19424 = 0. What are the prime factors of c?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -11. Let m = f - -4. Let q(k) = k**3 + 5*k**2 + 5*k + 5. Let i be q(-4). Sort m, 4, i in increasing order.\nAnswer: m, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 985836898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 382 and 1047062?\nAnswer: 1047062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065162647 rounded to 5 dps?\nAnswer: 0.00652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 323?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2684 + 2684 + 48*a)*(3 - 1 + 5)*(-3*a + 3*a + 2*a).\nAnswer: 672*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - -542 - (0 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**5\/10 + 6*t**4 + 356*t**3\/3 + 576*t**2 + 182*t. Suppose z(l) = 0. Calculate l.\nAnswer: -18, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, x: 5, m: 2}. Give prob of sequence mr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 1355269513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**2 - 8*t - 7. Let w be 2\/(8\/18) - (-39)\/26. Let y(f) = -f**2 - f - 1. What is w*y(c) - o(c)?\nAnswer: 4*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 278 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 19.\nAnswer: -4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -952 - 3821*h + 495 + 457 in the form v*h + c and give v.\nAnswer: -3821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, 3, 2\/91, -1\/4, -2\/5, 9347?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 0. Let n be -2 + 2 + 5 - p. Suppose -10 = i - 3*o, -3*o + n = -2*i - 1. Solve i*v = -v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -15, 0.5, 2, 1\/15 in descending order.\nAnswer: 2, 3\/4, 0.5, 1\/15, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -3141, 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17851 (base 13) to base 8\nAnswer: 130456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/5*(-35)\/21\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6701*s**2. Let w(t) = t. Give d(w(h)).\nAnswer: -6701*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + 17\/2. Suppose 0 = 4*f + 4*k - 16, 1 = -4*f - 2*k + 11. Suppose 0 = -4*j + y - f. Solve -x + 4*o = -2, x - o = -0*o + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 + -487. Let c = u - -295. What is the closest to 0 in c, -5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:34 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.168 to 1 decimal place.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 32.8. Which is the second smallest value? (a) 1 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d**2 - 22*d + 8. Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(1872)*-2)**2 + (2 + sqrt(1872))*2 + (5*(sqrt(1872) + 0 - sqrt(1872)) + -5)**2.\nAnswer: 24*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*65513954\nAnswer: 19654186.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 557.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 17 - 83 = -4*s, 2*i + s = 49. Let n = i - -23. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -171039*p - 2130. Let n(q) = -643*q - 8. Calculate -1065*n(o) + 4*u(o).\nAnswer: 639*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101331 (base 5) to base 9.\nAnswer: -4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2793\/13 + 215. Let y = -0.111 + -0.089. What is the nearest to 1\/5 in 5, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrir. Give prob of picking 1 x and 3 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 60*x + 32. Calculate y(6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1200102?\nAnswer: 1200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201\/185 - -18\/37. Put s, -0.03, -1\/2 in descending order.\nAnswer: -0.03, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-6)*d*d*d))**5 assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56804273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 33. Let z = f - 12. Suppose 5*m = z + 8. Solve 0 = 4*a - m*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -20e88?\nAnswer: -20e84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 + 1004*q - 668 = 0. What is q?\nAnswer: 2\/3, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 6. Let d be -4*((-2)\/(-8) - 2). Let l be s(d). Let v be 5\/4*1*(-2)\/10. What is the biggest value in -0.2, l, -5, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 40. Suppose 0 = l*n - 92 - 118. Let o = 77 - n. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*d + 14 = 5, 6 = -2*p - 5*d. Which is the third biggest value? (a) -6 (b) p (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 111020201?\nAnswer: -111020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 8*q**2 + 5*q + 7. Calculate the remainder when g(-6) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-seven halves of a year?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 1001*q - 1.\nAnswer: -1001*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**3. Let v(p) = p - 5. Let y be v(4). Let s be j(y). Suppose 90 = s*h - h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -17*c. Let i(t) = 12*t**2 - 412*t + 2. Give i(r(z)).\nAnswer: 3468*z**2 + 7004*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 181 + 206 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660613 and 1483155?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 36 + 35 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242458128?\nAnswer: 2, 3, 11, 153067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/5 - 5\/3. Let r = -17\/15 + t. What is the nearest to r in -3, 2\/11, 2\/15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 1 + 15 + 6 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3271274 tonnes?\nAnswer: 327127.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 211 = 68*g - 164 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*z - 10 + 26, -4*t + 3*z + 18 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -620048 (base 10) to base 13\nAnswer: -1892c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/4 - t**3\/3 - t**2\/2 - t + 5. Let o(s) = -2*s**3 + 3*s + 1. Let z(u) = -2*a(u) - 2*o(u). Factor z(c).\nAnswer: 2*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 11\/5 (b) -1\/6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -c690 (base 16) to base 14\nAnswer: -1474c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -76*i - 3. Let h be w(-8). Suppose 0 = 4*a - 5*z - 493, 2*a - 4*z = -3*a + h. Suppose -3*o + a = -90. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1182 and -3701991.\nAnswer: -3701990.8818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(sqrt(8)\/sqrt(4) + sqrt(2))*-5)**2.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 425*d. Let l(c) = 50*c - 495. Let q(f) = 7*f - 66. Let g(m) = 2*l(m) - 15*q(m). What is g(s(j))?\nAnswer: -2125*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + 22 - (5 + -2 + 1)) + 461 + -470?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61920013 to the nearest integer?\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10))\/((-8)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:58 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/84*(-70)\/(-60).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, -363.15?\nAnswer: -363.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 3*z)*(0 - 2 + 3 - 1 - 2 + 1 + (4 - 3 - 3)*(0 - 1 - 1) - 2 + 1 - 1)*(4 - 2*z - 2 + 0).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 705569577 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43\/(-20) + (21 - 231\/12). Let y = -19.1 - -20. Let a = y - -4.1. What is the biggest value in a, v, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**3*p*u**2 - 1703158*g**3*u**3 + 2*g**2*p*u - 38*g**2*u - 3*g*p*u**3 - 29*g*p + 417*p*u**3 - 1 wrt g?\nAnswer: 36*p*u**2 - 10218948*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exaekxexaxakazkkakxa. What is prob of picking 1 k and 1 x?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 102*r**2 + 18525*r - 18624.\nAnswer: -3*(r - 97)*(r - 1)*(r + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 2*z**2 + 2*z. Let h be m(2). Let r(c) = -3*c + 12. Let l be r(h). Solve -2*q - 4*k + 16 = 0, -q - 2*q - 2*k + 8 = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 3*w + 52 + w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - r**4 - 6*r**3 - 22*r**2 + r**4 + 4*r**2 - 4*r**2 + r**4 as f + z*r**3 + u*r + d*r**4 + a*r**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-11*11917\/7711?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**3\/3 - 9*b**2 - 2*b - 4. Let y be r(-12). Let d = y - 18. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -98, -4, -1, -56.\nAnswer: -98, -56, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 19*s**5\/20 + s**3\/3 - s**2\/2 + 19*s + 1. Calculate the remainder when c(2) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1464)\/(-183)*(-2)\/8*1\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/6286 - -25141\/18858. Which is smaller: -1094 or m?\nAnswer: -1094","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 7*v. Suppose -2*b + 0*h + 20 = -3*h, -v*b = -5*h - 20. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -65*o + 2. Let d be 3\/6 + (-21)\/14. Is 13 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5023c (base 13) to base 11\nAnswer: 98647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-2)*-1*(-2 + 4*2586).\nAnswer: 3, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -23*w**3 + 2*w**2 - 2*w - 1. Let i be n(-2). Suppose -c + 5*u + 115 = 0, -45*c - 4*u = -50*c + 344. What is the highest common divisor of c and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-45 + (-31 - -115)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 4 (b) 0.2 (c) -0.2 (d) -0.059 (e) -0.02 (f) 4.17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1139167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -375 + 2245\/6. Find the common denominator of 37\/22 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g - 50. Suppose -9*z - 270 = -12*z. What is the greatest common factor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1287, 74.\nAnswer: -1287, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*m + 93753 + 16096, -4*a + m + 219649 = 0. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5899362 + 5?\nAnswer: 5899367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289075 is divided by 763023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/142771 or -1?\nAnswer: -1\/142771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 - 0.36. Let j = 0.33 + k. Let i = 0.1 - -0.3. Sort 3\/4, j, i in decreasing order.\nAnswer: 3\/4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 108. Give p(-21).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 2\/5, 0.1, -9556, 3 in decreasing order.\nAnswer: 3, 6\/7, 2\/5, 0.1, -9556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 6. Let o be g(-4). Suppose 12 = 2*w + 4*m, 3*m = -3*w + 25 - o. Suppose 9*q - w*q = 70. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2651, 8\/7, -7, -5 in increasing order.\nAnswer: -7, -5, 8\/7, 2651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -16. Let c = 13 - y. Solve -c*f = -2 - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11675*m + 50851?\nAnswer: 11675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 89, 39, -11, -61?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3830 + 6601. Is b a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 6*w**2 - w + 4. Let c be f(-1). Let i = 958\/5 - 194. Let t = 4.01 - 0.01. What is the second smallest value in i, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5791, -5788, -5785, -5782?\n\"Answer: 3*w - 5794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*c - 15 = -2*c, -x + 5*c + 25 = 0. Suppose x = -i + 11 + 12. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -437*a + 169 - 169 + a**2 - 794*a - 332*a as k*a + n + x*a**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -42*u - 392. Let j be d(-17). Let r be (-69)\/2*(-8)\/6. What is the highest common divisor of j and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -20 (b) -1\/10 (c) -15 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 17 + 13. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43831638 - 21915818 - 21915820 - 93*i.\nAnswer: -93*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2860\/(-275))\/(8\/20*1))\/8.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/135, -124, -3, -2, -4.\nAnswer: -124, -4, -3, -2, -2\/7, -2\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -133*t**3 + 4*t**2 + 3*t + 9. Let u be j(-3). Suppose -u = -3*d - 10*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2 - 26. Let w be 1\/2*2 + o. Solve 5*z - 7 = w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/1219, 4, -5, 0.3, -0.04 in descending order.\nAnswer: 4, 0.3, 3\/1219, -0.04, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) - (sqrt(700) + sqrt(700)*2)))*-5)\/(1*sqrt(36) - -6*(sqrt(8)\/sqrt(2) - sqrt(4))).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + -18 + 46 - (1 - (-2 + 7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/216 - (1 - 38\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221705400077 minus -0.5?\nAnswer: -221705400076.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -60 times 45\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 298116*n**4 - 126098700*n**3 - 1847648*n**2 - 6768*n.\nAnswer: 4*n*(n - 423)*(273*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -16419*n + 8216*n + 5480*n**3 + 8205*n - 1797*n**3 in the form b + q*n**2 + m*n**3 + i*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 13 = -2, -1619 = -4*o - i. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(475)*5 + -5 + ((sqrt(475) - (sqrt(475) + sqrt(475) + -1 + -1)) + (sqrt(475)*2 + sqrt(475))*2)**2 + 2.\nAnswer: 125*sqrt(19) + 11873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-383)\/(-128) + 27\/(-9). Let v = z - 253\/384. Is 0.4 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 19*u + 66 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 595*p**5 - 7150*p**4 - 44505*p**3 + 109040*p**2 - 58940*p + 960 = 0.\nAnswer: -6, 2\/119, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 85878?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213404041 (base 5) to base 13.\nAnswer: 797557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (-5 + -5)) + 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2160384 and 2328?\nAnswer: 2160384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -87. Let b = 0.33 - 5.33. What is the biggest value in 0, 1, b, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27523 + -27198. Let y(m) = 69*m**3 - 6*m**2 + 6*m - 6. Let i(k) = -3725*k**3 + 325*k**2 - 325*k + 325. What is o*y(b) + 6*i(b)?\nAnswer: 75*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6. Let y = c - -22. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -240296.565.\nAnswer: -240296.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21629193 is divided by 10814594.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6065a - -4?\nAnswer: 60663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*u, 0 = -3*c + 3*u + 2*u + 40. Suppose -c*h - 5 + 15 = 0. Factor 2*x + 2*x**4 - 1 - x + 1 - h*x**2 - x**5.\nAnswer: -x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0527199 from -1.18849.\nAnswer: -1.1357701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b + -b8?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/6 - 28*s**3\/9 - 97. Factor k(b).\nAnswer: -2*b**2*(b + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4166 and 1248.\nAnswer: 2599584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14737*j + 28834. What is k(2)?\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-29)\/((-1856)\/48))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.0222257*5\nAnswer: 5.1111285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t + 4. Let k(j) = j - 1. Let r(u) = 3*u - 2. Let n(x) = 5*k(x) - 2*r(x). Let g be n(-6). Let l(i) = -3*i - 2 - i + g. Calculate 7*l(z) - 5*y(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 + 1 - c**3 - 3*c + 0*c**3 - 1 - 5. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(-3*p + 4 - 4) + (4 + 0 - 3)*(p + 2*p + 2*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1670, -1667, -1662, -1655, -1646?\n\"Answer: p**2 - 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.096 and -370648.\nAnswer: 35582.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3.14, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.237786l in millilitres?\nAnswer: 9237.786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 446*s**2 + s + 29. What is r(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18523\/7 - -2651. Let f(g) = -g**3 + 5*g**2 + 3. Let b be f(5). Suppose 7 = b*i + 5*y, -i + 4 = -y - 1. Is i >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -36 + 34 + (61 - 0) + 14?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/26)\/(k\/(k\/(k\/(k**(20\/9)*k)*k))) assuming k is positive.\nAnswer: k**(313\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 5 - (23 - 20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + ((sqrt(15)\/sqrt(3))**2 + sqrt(5) - sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178765, -178763, -178761, -178759, -178757?\nAnswer: -178755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udgqudr. Give prob of sequence gq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(121 - 121 - 4*j)*(2*j**2 - 2*j + 2*j)*(-4*j - 3*j + 6*j).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 270.315 centimeters?\nAnswer: 0.00270315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 5*g - 322. Let b be (g\/28)\/(2\/(-24)). Which is smaller: -17 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-206)\/(-6) + (-44)\/(-66) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.294 - -0.294. Put 3\/8, 0, m in decreasing order.\nAnswer: 3\/8, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:03 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4895a - -40?\nAnswer: 4899a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 654 and 2010.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -213 (b) -2 (c) 18 (d) 0.5 (e) 4\/3 (f) 0.2 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.48.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r - 94*r = 45 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 16 + (-5 - (-26 - -18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 62*q - 65*q - 15, -3*o + 24 = -2*q. Solve 0 = 5*k + 4*b + 22, o = -b + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14023 (base 5) to base 14.\nAnswer: -5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 220*v = 13828 - 1358 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3297 and 15857?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 + 3*b**2 - 5*b**2)*(-53*b + 53*b + 32*b**2) - 1 - b**3 - 4*b**4 + 5*b**4 + 0*b**4 to the form p*b**3 + l*b**4 + z + y*b**2 + v*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9654.\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23229 (base 11) to base 13\nAnswer: 12368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -27 (c) -4 (d) -8 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*p - p - 5*p - 57, -9*g + 11*g + 10 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3413104 (base 5) to base 8.\nAnswer: -165764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + -3)*2*(-2)\/12. Suppose 6 = j*f - 0. Suppose -3*v + 2*m + 8 = -f*m, 3*v = 3*m + 9. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323023644 <= 1323023643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:04 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 20 + 64 = 0. Let q = 31 - x. Suppose 0 = -2*o - q*k + 128, -5*o - 2*k + 4*k = -358. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 216*o**2 - 1044*o - 2316. Give j(211).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -672?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793012?\nAnswer: 2, 11, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 331904?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7800 and 12300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/12)\/((-1)\/(-3)). Is 10 a factor of (q\/2 + 2)*-52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2951 divided by 4\nAnswer: 2951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(891) + 5)*3 + (sqrt(891) + (sqrt(891) - -1*1*sqrt(891)))**2 + (1*sqrt(891) - sqrt(891)) + -1.\nAnswer: 27*sqrt(11) + 8045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 492 + -509. Put -7, a, 0.1 in ascending order.\nAnswer: a, -7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2676, -2671, -2662, -2649, -2632, -2611, -2586?\n\"Answer: 2*f**2 - f - 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 15*h - 5. Give c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1794*t**3 - 1045*t.\nAnswer: -10764*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3862 + -3859. Let s = 2 + 11. Suppose 3*n = -s + 1. Which is the smallest value? (a) z (b) n (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 0 - (-4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3.03044.\nAnswer: 15.1522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 1 - 2 - 44*d + 21*d.\nAnswer: -7*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.04 + -2. Let g = 0.0549 - -0.2451. Let v = -0.1 + -0.1. Which is the third smallest value? (a) g (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933 = -2167*b + 1907*b - 1147 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 f when four letters picked without replacement from {f: 4, e: 2, s: 3, d: 1, i: 6}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrjkkesh. Give prob of picking 1 r and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - l**3 - 3*l**3 + (2*l**2 + 3 - 3)*(1 + 2*l - 4*l - 2).\nAnswer: -6*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -82. Suppose 0 = 3*k - 3*v + 4*v - 9, 5*v - 5 = -5*k. Suppose k = m - 4*z, -2*z + u*z + 4 = -3*m. Solve 2*a - 5*p + 17 - 2 = m, -6 = -2*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34502 and 257582.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-1 - -1))\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*x + 20, -2*x = -2*z - 3*x + 11. Let n(u) = -11 - z*u + u + 9. What is n(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.5391542ns to days.\nAnswer: 0.0000000000002955920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.7 - -13.7. Let j = i - -63. Sort j, -7, 0.5.\nAnswer: -7, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210212010 (base 3) in base 5?\nAnswer: 1002213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*n + 25 = 105 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55263*l**3*q**3*x - l**3*q**3 + 42454*l**3*q**2 + l*q**3*x wrt x.\nAnswer: 55263*l**3*q**3 + l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 44119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 121 - 53 = -94 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 697191 or 4880343\/7?\nAnswer: 697191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/30 + 695*g**4\/3 + 1932100*g**3\/3 + 2*g**2 + g + 379. What is i in c(i) = 0?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*(99\/378)\/11*-10?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/4 + -1*2. Suppose i*m = -2*o + 25, 4*o - 4*m + 20 = 3*o. Suppose o = -2*c + 3 + 3. Solve -c*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - -0.7. Let t = 661.5 + -661. Which is the second biggest value? (a) i (b) t (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(3 - 3 + 2*g**4) + g**3 - 2*g**2 - 2*g**4 + 2 - 2*g**2 - 3*g**3 to z*g**4 + x*g + i*g**3 + b + y*g**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001983522475 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 34*21\/1960. Let a = o - 1\/70. Is -19 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2278964 take away 152823389?\nAnswer: -150544425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**5\/60 - t**4\/12 - t**3\/6 + 45*t**2\/2 - 17. Let f(s) be the second derivative of y(s). What is d in f(d) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39285861.\nAnswer: 3, 17, 770311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1521, -2892, -4307, -5760, -7245, -8756?\nAnswer: -10287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Suppose k = -3*t + 14. Let a(y) = y**2 - 6*y + 7. Let w be a(5). Solve -1 = -w*d + t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 0.5 (c) 2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42653683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 320*x - 656.\nAnswer: 4*(x - 82)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15677 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 3*g**2 + 2*g - 1. Suppose -14 = 3*u + 4*n, 2*n = 3*u - 4*u - 8. What is h(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5\/4 + 621*z**4\/2 - 6051*z**3\/4 - 8613*z**2 + 9816*z = 0. What is z?\nAnswer: -4, 0, 1, 8, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(5))\/sqrt(2))\/sqrt(7) + 0.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let r(d) = -8*d**2 - 42*d + 4. Calculate n(r(u)).\nAnswer: 8*u**2 + 42*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -24)*(-6)\/8. Does 15 divide 315\/b*(-24)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*x = 0, -2*j - j - 5*x = -32. Let i(v) = -11*v + 3. Let a(w) = 17*w - 4. Let u(q) = -5*a(q) - 8*i(q). Does 5 divide u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2462 + 3*m + 2462.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.23589 millennia to centuries.\nAnswer: 332.3589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*y**4 + 7*y - 5*y**3 - 7*y**3 + 12*y**3 - 4*y**2 to the form s*y**4 + z + w*y + a*y**3 + j*y**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51883279 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18033 - 11148. List the prime factors of g.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 33. Let f be b(-8). Suppose 3*h - 45 = 4*d + 116, 2*h + 184 = -5*d. Let t = f + d. Solve 0 = -5*o - 5*r - 40, -2*r + 2 + 2 = -t*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) 11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w - 99. Give d(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 56*r - 423. Let h be n(-12). Calculate the greatest common divisor of 120 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) + 20\/(-70). Suppose p = -29*i + 16*i + 143. Solve -40 = i*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738 and 143582.\nAnswer: 1292238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14373 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*w**3 + 180 + 90*w - 5*w**2.\nAnswer: -5*(w - 6)*(w + 2)*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40544719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16835 and 191380?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 3*g - 12*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/7)\/s)\/s**4*s*s*s\/((s**(-1)\/s)\/s*s*s)*s*s*s**(-5)\/s assuming s is positive.\nAnswer: s**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 14*h - 4. Let m be a(-7). Suppose 27*r - 15 = 24*r. What is the greatest common divisor of m and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10427?\nAnswer: 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.073, 465, 12 in ascending order.\nAnswer: -0.073, 2\/9, 12, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8251334580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3056 and 5?\nAnswer: 3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*((n**2 + 4*n**2 - 3*n**2)*(-3 + 1 + 4) - n**2 + 0*n**2 - n**2 - 110*n**2 + 713*n - 713*n).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -84*k - 482 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h - h. Let f(b) = 3*b**3 - 5*b**2 - 5. Let z(a) = -4*a**3 + 6*a**2 + 6. Determine h*z(y) + 6*f(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o = h + 9, 4*o = 12. Let u = 792 + -787. Let g be 3*1 - (2 - 1). Solve -1 = -h*c + g*c, u*x = c + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2000164 + 1.2. What is n rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -537*y**3 - 31*y**2 - 145*y - 19. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) -1\/2 (c) 104 (d) -15 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.38 and -0.056.\nAnswer: 0.30128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-198)*(-9)\/(-15))\/((16\/(-22))\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 43*x**2 + 27*x - 10. What are the prime factors of r(-23)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -65*g - 114. Is v(-18) a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 2*p - 5. Let x be z(-5). Let v = x + -5. Suppose 0 = g - 2*g - v. Let f(a) = a**2 + 4*a - 7. Give f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 8.4835.\nAnswer: 93.3185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3 and -55\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:25 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15649479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-eight fifths of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 11*s**2 + 3*s - 24. Let n be h(-10). Let w = n + 78. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3dd (base 15) in base 10?\nAnswer: -883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3063, 5, 26 in decreasing order.\nAnswer: 3063, 26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7732554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 154 + 177. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.583 + 21?\nAnswer: 76.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-12)\/(-27)*3\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k**2 + 228*k - 229*k - k**2 - 2. Give b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + g + 13, 4*g - 5 = -g. Let m = -9 - v. Calculate the least common multiple of 11 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*k = -0*k - 22, 5*o - 33 = -2*k. Suppose 3*b + 0 - 144 = 3*p, 2*p = -o*b + 268. What is the highest common divisor of 39 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 58 - 58.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/66)\/(0 - 8\/(-169)). Let i = 43\/3 - m. Put 2\/23, i, 1 in descending order.\nAnswer: 1, i, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 - 1) - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10*81\/135)\/(4\/(-6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23427 * -157\nAnswer: -3678039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 117*q**2 - 4 + 5*q - 237*q**2 + 119*q**2 + 0*q. Let g = -202 - -207. What is o(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 39792*k. Let n(w) = -2*w. Give u(n(a)).\nAnswer: -79584*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5739*116.\nAnswer: 665724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.081 + -0.919. Which is the third biggest value? (a) w (b) -4 (c) -2\/5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3899568 divided by -3899568?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (4 + sqrt(153) + -1 + sqrt(153))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -123*z + 8682. Let l be w(70). Solve -2*u + 1 = l*c - 69*c, u - 8 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42420 - -351042?\nAnswer: 304222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6517 and -0.0284.\nAnswer: -185.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 21 = 3*c. Let u = c + 4. What are the prime factors of (20 - -3) + u + 2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109.8 * -0.01784\nAnswer: 1.958832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -8381, -6 in descending order.\nAnswer: 17, -6, -8381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 - x**2 - x**2 - x**2 to t*x**2 + v*x + u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w + 38*w**2 + 0 + 7\/6*w**3 - 7\/60*w**6 + 0*w**4 + 0*w**5. Differentiate o(j) wrt j.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 59*j**3 - 9*j**2 + 60*j. Let a(z) = 15*z**3 - 2*z**2 + 15*z. Let k(l) = -9*a(l) + 2*b(l). What is the second derivative of k(i) wrt i?\nAnswer: -102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 at least 363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 6*y - 4. Let f be n(-3). Solve -5*s = -3*p - f, -4*s = 4*p - 4 - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2111200010002 (base 3) to base 14\nAnswer: 2695a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -79281, -1.5, 3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b - 8*b + 21*b**5 + (0 + 0 + b**2)*(-416*b**3 - 199*b**3 + 130*b**3).\nAnswer: -464*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2. Let l(m) = -143*m**2. Give l(v(a)).\nAnswer: -572*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 6, -644*s + 669*s + 3*n = 134 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12474115*n**2*t - 3*n**2 - 2*n*t + 43*n - 1061 wrt t?\nAnswer: 12474115*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 12 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393007 + 19.\nAnswer: -392988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 1. Let z be k(-1). Let b(c) be the first derivative of c**3\/3 - 2*c**2 + 4*c - 1. Let h be b(z). What is the smallest value in h, -4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 30. Let q be b(13). Suppose -99 - 61 = -q*t. Calculate the highest common divisor of t and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26274749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 3*f**2 + 3*f**2 + (f + 6*f - 3*f)*(3*f**2 + 3*f**2 - 3*f**2) + (-2*f**2 + 0*f**2 + 0*f**2)*(-2*f + 0*f + 0*f) + 7*f**3 - 52*f**2 + 52*f**2.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000523499279 to 7 dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3839680 divided by -767936\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -42*b**4 - 3208*b**3 - 7424*b**2 - 1760*b + 1184 = 0.\nAnswer: -74, -2, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 3*v**2 - 3*v + 1. Let f be i(5). Suppose -g - w + 37 = 0, g - 4*w = -6*w + f. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 5*u - 7. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 2 + sqrt(12) + sqrt(3)) - 1*(4*(sqrt(105)\/sqrt(5) - sqrt(21)))\/sqrt(7).\nAnswer: -6 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 1 in ascending order.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 32*s**2 - 7248*s - 3510. What is f(227)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*k - 6*p = -68, -45*p + 120 = 3*k - 36*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**4 - 170240*w**3 + 16*w**2 + 43315828*w?\nAnswer: -60*w**2 - 1021440*w + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 - 16*a**4 - 7*a**4)*(a + 1 - 1) + 123*a**5 - 63*a**5 + 223*a**5.\nAnswer: 263*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n**2 - 12*n - 23. Let c be f(-3). Suppose 5 = -18*g + c*g, -3*g = 2*y - 2745. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*a - 2*a = -26, 5*a + 41 = 4*q. Suppose -3*j + q = -97. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.884515km to centimeters.\nAnswer: 788451.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 73. Calculate the common denominator of (14\/4)\/(21\/p + -2) and (-12)\/10*(-62)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ca (base 14) to base 6\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 6, y: 1, m: 4, s: 6}. What is prob of sequence myi?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - ((8 - -2) + 8 + (9 - (28 - 12))).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*d = 124, -6*l - 2*d = -3*d - 437. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(3\/(-15)*-36*21\/(-189))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39643237 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - ((31 - -8) + -55).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158548.\nAnswer: 2, 13, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/(-60))\/((-2)\/(-3)))\/(223\/223)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Let k(b) = 2*b + 3. Let o(c) = -c**2 + 10*c + 13. Let f be o(11). Suppose -3*p = -f*p - 2*z + 15, -p - 20 = -3*z. Determine p*l(x) + k(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1919287307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g**2 + 2*g + (13*g - 90 + 90)*(1 + 2*g - 1) - 63339*g + 63340*g - 16*g**2 - 51*g**2.\nAnswer: -40*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11001100111101010 (base 2) to base 11\nAnswer: -71929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(-54 + g - 3*g - 2*g**2 + 48).\nAnswer: -8*g**2 - 8*g - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:25 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 861606 (base 11) to base 7\nAnswer: 14500263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*d**3 + 76 + 0*d**2 + d**2 + 0*d**3 wrt d?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -2. Let d = t + 19.1. Which is the biggest value? (a) 3 (b) 5\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/2 - 2*u**3\/3 - u**2\/2 - u + 1. Let i be q(2). Let g = 46 + i. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276773, 276765, 276757, 276749?\nAnswer: 276741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 - 7866*a**3 + a - 7*a**2 - a**2.\nAnswer: -7866*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 158*y**2 - 22*y + 68. List the prime factors of b(3).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 740, 3291, 7632, 13763, 21684, 31395, 42896?\n\"Answer: 895*p**2 - 134*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 507*o**2\/2 - 3*o - 68. List the prime factors of p(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34360039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6492 - 6492 + 16*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-196)\/(-42))\/(-7))\/((-2)\/6). Suppose 2*q - 25 = -3*q. What is the second derivative of -q*w**2 + 12*w**2 + 9*w + 9*w**2 - g*w**2 wrt w?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 84 = -5*p + 63 - 146, 3*k = -6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:11 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 30*k**2 + 29*k + 20. Calculate c(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s + 413 - 2*s + 281.\nAnswer: 7*s + 694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/1 - -7) + (-9 - -5). Suppose a + 6 + 8 = y, u*y - 5*a - 37 = 0. Factor y - 70*v**2 + 24*v - 24*v**3 - v**4 - v**4 + 57 + 4.\nAnswer: -2*(v - 1)*(v + 1)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) 0.3 (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/100 and 23\/1790790.\nAnswer: 17907900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/30*2\/4. Let l = -154.82 - -154.32. What is the closest to -0.2 in h, l, -15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*h + 2157 - 690 = 0. Solve 78 - 60 = -h*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10622 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b + 0*b + (-1 + 3 - 1)*(-5*b + 2*b + 2*b) - 2*b + 2 - 2)*(b**2 + 2*b**2 - 2*b**2) + (2*b**2 + b**2 - b**2)*(-5*b - b + 4*b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -32, -58, -90, -128, -172?\n\"Answer: -3*l**2 - 11*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.9971 minutes to nanoseconds.\nAnswer: 35099826000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 12*d**2 + 13*d + 6. Let s be f(-13). Let o(l) be the third derivative of 37*l**5\/20 - l**4\/24 - l**3\/6 + 12*l**2 + 1. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -242, -2\/3 in decreasing order.\nAnswer: 3\/7, -2\/3, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6071.76 and 4?\nAnswer: 24287.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 13 = 11*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:15 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77262853301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022590 rounded to the nearest 100000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4353, 4402, 4449, 4494, 4537?\n\"Answer: -z**2 + 52*z + 4302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 11*q**2 - 19*q + 15. Let f(b) = -b**3 + 5*b**2 - 10*b + 9. Let u(a) = -5*f(a) + 3*w(a). Suppose u(h) = 0. What is h?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 3*m - 2. What is b(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 2*g**2 - g - 3. Let c be u(3). Suppose 100 = 4*l - 4*s, -2*l + c*l - 28 = 4*s. Let w = -13 + l. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534982387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*f**4 - 176*f**2.\nAnswer: 3720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t**3 + 6*t**2 - 3*t. Let k(j) = -14*j**3 + 7*j**2 - 4*j. Let g(i) = 3*k(i) - 4*w(i). What is the third derivative of g(h) wrt h?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - b + 0*b + (-1539 + 1863 - 1430)*(3*b - b - b) - b + b - 2*b to d*b + x and give d.\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 134593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 215. Find the third derivative of -v**2 - 17*v**6 - 16*v**6 - q*v**2 wrt v.\nAnswer: -3960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2565560447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + (sqrt(187)*-3 - sqrt(187)) - sqrt(187)) - sqrt(187))*5*-3)\/(sqrt(33)\/(sqrt(3) + sqrt(18)\/sqrt(6))*-4).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 6, f: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 5*i - 2. Suppose 3*p - 155 = 229. Let j = 134 - p. Let t(n) = -4*n**2 - 4*n + 2. Calculate j*t(r) + 5*x(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 8*l - 5. Let q(x) = -598*x - 600*x - 2*x**2 - 602*x + 1809*x - 4. Determine -5*f(d) + 6*q(d).\nAnswer: -2*d**2 + 14*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let r(c) = -2*c**2 + 13*c - 12. Let a be r(10). Let t = 576\/7 + a. What is the nearest to t in -0.5, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(432) - (sqrt(432)*-1 + 2)))*-2*5)**2.\nAnswer: 9600*sqrt(3) + 173200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -33*a + 31*a + 22, -3*b = a - 21. What is the smallest common multiple of (0 - -3)*(1 - -2) and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1)\/q*q**(2\/9)\/q*(q*q*(q*q\/(q*q**(-3)*q)*q)\/q*q*q*q*q)\/q**6 assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.714 + 0.014. Let g = b - 14.3. Let s = g - -17.00000009. What is s rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 22991 = 4*a + 4495, -3*a = -11*n + 203597. What are the prime factors of n?\nAnswer: 2, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 36 = 2*i - 5*h, -5*i + 5*h + 55 = 0. Calculate the lowest common multiple of i and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055120 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 13*u + 2*h = -44, 5*h + 42 = -4*u. Let c be (3 + u + 5 - -1) + 2. Which is smaller: 43\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 3*b + 5. Let o be h(-4). Let s be (-6 - -2)*o\/2. Let c = s - -20. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 23*m**3 + m + 1. Let v be b(-1). Let g = -20 - v. Suppose g*d - 18 = -0*d. Calculate the smallest common multiple of 10 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2)))\/(x*x*x**(-5)*x*x)*x\/((x*x\/((x**(3\/4)*x*x)\/x*x)*x*x)\/x)*x**(-1\/4)\/x assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47004\/22 + ((-112)\/44 - -2)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6984 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 17*g**2 + 5*g - 32. Determine h(17).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*c = -408*c - 46728 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 65*z + 341. What is b(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (48 + (8 - (21 - 11)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkl when three letters picked without replacement from zkilrwz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 993*a = 431*a + 482*a + 1947 + 2933 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/42)\/(8*(-5)\/(-180))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109892*f**2 + 693*f + 17 wrt f?\nAnswer: -219784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-24))\/(3\/(-36)). List the prime factors of (215\/g + -3)*9\/2.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1 + (-48)\/44. Are p and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:46 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrdvrbbborbb. What is prob of picking 2 r and 1 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 297.9465km?\nAnswer: 297946.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/3*(-3)\/(-1 + -8). Suppose -2*g - r + 56 = -6*r, -j*g + 112 = 4*r. Calculate the least common multiple of g and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428507 and 4693.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/636 and -89\/72.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104473\/16284 + -4\/4071. Find the common denominator of z and 10\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 25*s**2 + 115*s - 12. Let u be g(26). What is u rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*w - 25, -3*k = -3*w - 9 - 6. Suppose -4 = -k*q - q. Solve 1\/3*v**q - 1\/3*v**2 - 1\/3*v**3 + 0 + 1\/3*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2. Let l(d) = 74*d - 12*d**2 - 74*d. Give u(l(z)).\nAnswer: 432*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and (96\/128)\/(3\/1224).\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -0.3, -1, 1\/4 in decreasing order.\nAnswer: 68, 1\/4, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + 1 - 3 - 10*j**4 + 2*j**3 + 57*j**2 - 55*j**2 in the form k*j**4 + z*j**2 + m + s*j**3 + f*j and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -121, -133, -147, -163?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 7 = -4*i - 6 + 30, -29*d = 5*i + 17 - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 10, 5, -2, -11, -22?\n\"Answer: -u**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -454 (base 10) in base 8?\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -603.11 + 607. Let z = 0.11 + v. Let r = z + -3.5. Which is the biggest value? (a) 4 (b) r (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*x - 3, -16*x = 3*b - 20*x + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 0.1, -2\/7, 115?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3144*t**2 + 3522*t + 24. Let c(s) = 1257*s**2 - 1409*s - 10. Let k(g) = 12*c(g) + 5*z(g). What is the second derivative of k(w) wrt w?\nAnswer: -1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, z: 6, p: 1}. What is prob of sequence zp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l - 1. Let y be (-176)\/(-24) + -8 + (-7)\/3. Let u(z) = -2*z**3 - 2*z. Calculate y*h(a) + 2*u(a).\nAnswer: -a**3 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 80, 184, 330, 518, 748, 1020?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3 - 1423*v + 12 + 1423*v - 8*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19113 (base 11) in base 4?\nAnswer: -12202003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5*l**(-7)*l**(-5)\/l*(l\/(((l*l**5)\/l)\/l))\/l)\/(l\/(l\/l**4)*l**(1\/5)*l*(l\/l**4)\/l**4) assuming l is positive.\nAnswer: l**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1020*f**3*q**3 - f**3*q**2 + 2*f**3*q - f**2*q**3 + 11*f**2*q**2 - 26803*f**2*q - 10145*f*q**3 - q**2 wrt q.\nAnswer: -6120*f**3 - 6*f**2 - 60870*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5*h = 2020. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -13*d + 15*d - 1, 2*b = 0. Which is bigger: d or -10\/967?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 - 2*v**2 + 0*v**2 + (-6*v + v + 9*v)*(4*v - 2*v + v) + (2 + 1 - 8)*(4*v**2 - 2*v**2 - 3*v**2).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**31)**25\/(((y**34\/y)\/y)\/(y**(-7)*y*y)) assuming y is positive.\nAnswer: y**(-787)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**2. Let y(s) be the second derivative of -s**3\/6 - 12*s**2 - 99*s. Determine p(y(q)).\nAnswer: -6*q**2 - 288*q - 3456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 564 - 332. Let t = -232 + c. Which is smaller: -1\/143 or t?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53132952?\nAnswer: 2, 3, 61, 36293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85749 + 85794.9686. Let b = -46 + p. What is b rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -3\/5, -703.\nAnswer: -703, -3\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -0.23 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 + u - 406. Let g be c(0). Let y be 6\/(1 - 747\/759). Let l = y + g. Calculate the common denominator of -93\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 301835*v**2 - 56280*v. Let c(x) = -338*x**2 + 63*x. Let u(b) = -2680*c(b) - 3*i(b). Let h(a) = 4*a. Give h(u(d)).\nAnswer: 1340*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/(10\/15 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10571 (base 10) in base 14?\nAnswer: 3bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnrntrnntyrrbrtr. Give prob of sequence nrb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211139900.\nAnswer: 2, 5, 97, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 709346 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:33 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 4. Suppose -1 - l = -o. Suppose -o*h + 8 = -3*h. Solve 3*g - 4 = h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -14.1. Let d be 6 + (-402)\/72 + 1\/4. Which is bigger: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -214\/5. Let r be 0\/4*(1 + -2). Is r at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-8)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 4*s**2 - 4*s + 1. Let h be r(2). Put h, 5, -1 in ascending order.\nAnswer: h, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72126.366 rounded to the nearest one thousand?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364746.\nAnswer: 2, 3, 31, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + l + 14*l - 36*l)*(2*l + 0*l - l)*(l**2 + 4*l**2 - 3*l**2) to the form b + v*l**4 + p*l + r*l**3 + j*l**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261487?\nAnswer: 23, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 115237403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {u: 3, y: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 299*w + 1261*w**2 - 299*w + 199*w**2 as s*w + a + o*w**2 and give o.\nAnswer: 1460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84036 divided by 4.\nAnswer: -21009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxrryxrxxryrr. What is prob of sequence xx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8323018 and 484836?\nAnswer: 49938108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31525 + -11007. List the prime factors of f.\nAnswer: 2, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 - 950*k - 225625 = 0. Calculate k.\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 2*x + 1. Let z(w) = 3*w**2 - w - 1. Let v be (-1 - -4) + (-5)\/(-15)*9. Suppose v*p - 4*p = 8. Let i(m) = p*a(m) + 5*z(m). Determine i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 - 2*o - 9. Let s(f) = 138*f**2 + 17*f + 8. Let u(c) = 18*c**2 + 2*c. Let q(d) = -s(d) + 8*u(d). Determine -3*n(w) + 4*q(w).\nAnswer: 3*w**2 + 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2\/3 - 22*v\/3 - 28\/3 = 0 for v.\nAnswer: -7\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b - 103. Let h be l(-8). List the prime factors of (-3047)\/(-7) - (-66)\/h.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 5 - (390\/99 - -2). Is i > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18\/11 + 43\/33. Sort 5\/2, v, 5 in decreasing order.\nAnswer: 5, 5\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64011.746 to the nearest one thousand.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**3 + 7*u**2 - 9*u + 2. Let s(o) = -8*o**3 - 8*o**2 + 11*o - 3. Determine -5*s(v) - 6*z(v).\nAnswer: -2*v**3 - 2*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1629.4 + 1629. Let o = 41\/91 + -4\/13. Which is the closest to 4? (a) o (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56d56c (base 14) in base 4?\nAnswer: -23101301030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -1 + 0 + 2. Let p be 5 + (-1 - (-1)\/(-1)). Solve p*x = x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 7. Let s be u(5). Let z be 63\/12 + (-2)\/s. Suppose -131 = -z*i + 154. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = -5. Let h be (-2)\/(-8) - 27\/12. Is 6 a factor of (t - 0)\/(h\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 344a?\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -4 - 5) + 23 + -21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338857 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293987513 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -443*o + 441*o. Suppose o*t = -140 + 350. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - (-2 - (-5 - -30)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4 + sqrt(200)*1 - (-2 + 2*sqrt(200)))*-6*6)**2 + -2.\nAnswer: -155520*sqrt(2) + 305852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 5 + 4*h - 4 + 2 + h**2. Let i be f(-6). Let s = i + 41. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2) + (-3 - (-13)\/(-12)). What is the closest to -1 in g, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83720 and 3036.\nAnswer: 2762760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)**(-46))**10\/(((j\/(j\/(j\/((j**6*j)\/j))))\/j**(-5\/2))\/(j\/(j\/(j*j\/j**1*j*j)*j))**(-3\/8)) assuming j is positive.\nAnswer: j**(3687\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 133588?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 153, 282, 457, 684, 969?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9353.2908 rounded to zero decimal places?\nAnswer: -9353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 93\/8 + 936\/(-64) + 15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -6\/7 (c) -16 (d) 0.2 (e) -63.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64884, 259115, 582828, 1036023, 1618700?\n\"Answer: 64741*s**2 + 8*s + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, 182, 275, 368?\n\"Answer: 93*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83.7 - -15.3. Which is the smallest value? (a) x (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -0.4, 3, -31 in decreasing order.\nAnswer: 3, -0.4, -31, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/144 and 103\/861048?\nAnswer: 1722096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*b, -2*g - 400771 = -2*b - 400767 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7231 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 28 + 10)*((-p + 2*p + 2*p)*(2 - 2*p**3 - 2) + 2*p**4 + 0*p**4 - 3*p**4 + p + p**4 - p).\nAnswer: 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83279 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/10 - 12\/60. Let i(v) = -v**3 + 15*v**2 - 12*v - 17. Suppose 2*w - 3*w + 13 = 0. Let u be i(w). Calculate the greatest common divisor of z and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11594366 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 183 = 19*k - 147. Let g(d) = -4*d**2 - 1 + 7*d**2 + 2*d**2. Let c(m) = m**2. Give k*g(y) + 11*c(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494333, -494322, -494311, -494300, -494289?\nAnswer: -494278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 888*b - 850. Determine r(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128*k + 29*k - 45*k)*((3 - 1 + 0)*(-2 + 1 - 1) - 3 + 2 + 2) to b + a*k and give a.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y - 1. Let r(o) = 17*o**2 + 20*o + 14. Let c(w) = 3*f(w) - r(w). Let m(k) = 2*k**2 - 7*k**2 + k + 0*k - 7*k - 6. Calculate -6*c(i) + 17*m(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7*(n*n*n**(-1\/3))\/n*(n**(2\/5))**26 assuming n is positive.\nAnswer: n**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10273919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13866 a factor of 1283436960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 78 = 7*n - 2*n, 0 = 3*n + 2*t + 46. Let d be ((-56)\/(-10))\/(n\/(-45)). Let j = -10 + 24. Calculate the greatest common factor of d and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -15, -5, 1, -4, 314, 5 in ascending order.\nAnswer: -15, -5, -4, 1, 5, 30, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t**2 + 2663*t - 410. What is u(-205)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1191*a**2 - 42*a - 17 + 17 + 42*a as s*a + b + p*a**2 and give p.\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 85. Let n(z) = 157*z**3 + z**2 - 3*z - 4. Let h be n(m). What is h rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -114 and -38.6.\nAnswer: -152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 10396385.6478?\nAnswer: -10396385.5678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/15)\/z)*z*z*z*(z\/(z\/(z**(-15)*z*z)))\/z*z**(-32)\/(z**1\/z))**(-27) assuming z is positive.\nAnswer: z**(5652\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1235508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.78737 - 1.7873704. Let g = 1 + d. What is g rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.4 + -20. Let j = -857\/4 - -213. What is the nearest to -2 in j, -0.3, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 210*u - 432.\nAnswer: 3*(u - 2)*(u + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27523 is divided by 2112?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 4 - (1 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3 + a**2*t + 165737*a*t + 5151514*t wrt a.\nAnswer: -3*a**2 + 2*a*t + 165737*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1250\nAnswer: -1250.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 228, 472, 796, 1194, 1660?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) -160 (b) -3 (c) -5 (d) 0.3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 = -31*b + 8*b - 169 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x + 2*x + x. Let r be -1*(-2)\/2 - -5. Let u(m) = 4*m. Let y(v) = 17*v. Let d(s) = r*y(s) - 26*u(s). Give d(w(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 6\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-426)\/(-3408) - (-1 + (-46)\/(-48)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6778221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -26. Let b be (-144880)\/g - 2\/(-7). Let x = b + 30917\/6. Find the common denominator of 10\/9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 690 or 688?\nAnswer: 688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, -1, 7, 21, 41?\n\"Answer: 3*f**2 - 7*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3\/6 - a**2\/2 - a + 7. Let b(i) = i**3 + i**2 + 2*i + 3. Let l be b(-2). Give j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90 + 23*y + 2*y**4 + 3*y**2 + 89 + 68*y - 3*y**2 - 227*y**3 wrt y?\nAnswer: 24*y**2 - 1362*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10483820339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 31. Let n be 87\/2*(-16)\/d. Let v = 31 - n. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-2880)\/(-108) + 3\/((-27)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 0.11 (c) -2\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g + 12. Give q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4 + -3 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 49913.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -27 (c) -0.794 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -13 + -79 - -96?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19928308 to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:49 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -426*t**2 + 14*t - 26. Let w(d) = 426*d**2 - 15*d + 27. Let o(s) = -8*g(s) - 7*w(s). What is the second derivative of o(k) wrt k?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 - 17*k**2 + 1\/30*k**5 + 1\/8*k**4 + 0*k + 1\/6*k**3. Let n be (-2)\/((-3*1)\/(-3)). Give l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 2683*k + 19 - 33.\nAnswer: -2683*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246227.\nAnswer: 113, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215588.7 minutes to days.\nAnswer: 149.714375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lezixlxzgxz. Give prob of sequence xl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/12*5.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:33 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 7, d: 4}. What is prob of picking 1 g and 1 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 4. Suppose z - 3*a = -0*a - w, 0 = -3*z - 4*a + 13. Let l(x) = -8*x**3 - x**2 + 1. Calculate l(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f**(-19)\/f))\/f)*f*f\/(f*f**(-2\/33)*f))**(-48) assuming f is positive.\nAnswer: f**(10000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/((a**(2\/9)\/a)\/a))\/a*a**(-2\/3))\/(a**(3\/7)*a*a**0))\/((a*a\/(a**1*a)*a)**(1\/58)*(a**2*a)\/(a**(-2\/9)\/a)) assuming a is positive.\nAnswer: a**(-12997\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*m**5 + 434537*m**4 - 153*m**2 - 1172132*m wrt m?\nAnswer: -1020*m**2 + 10428888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121.195 - 122.394995. Let i = g + 1.2. Round i to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 23?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/120)\/(31\/(-85)). Let t = 2\/31 - m. What is the closest to t in 2\/11, 9, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -3444 - 789. Solve 255*i = u*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p. Let u(f) = f**2 - f. Determine 6*r(a) - 4*u(a).\nAnswer: 2*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -142, -141, -128, -97, -42, 43, 164?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 3*b)*(-1 + 2*b + 1)*(4*b**3 - 6 + 6).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7 (b) 4 (c) -1.2 (d) -1\/26 (e) 7 (f) 150\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -60184*s**3 - 8*s**2 + 4*s + 8. Suppose -2*d + 6 = -d. Let r be p(d). Round r to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 1211.\nAnswer: -44807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236 and 26596?\nAnswer: 1569164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, 2 in descending order.\nAnswer: 8, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 0 + 0*c - 2 - 3*c**3 - c. Let d be b(-1). Suppose d*m + 0*m = 136. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -514*j + 6669. Calculate a(12).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-3)*(-6)\/(-2). Suppose 6*i - i + 31 = -c, -3*i - 9 = 3*c. Is 4\/r + (-114)\/i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b9 (base 13) to base 3.\nAnswer: -1121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 + 299.1. Which is the smallest value? (a) z (b) -2 (c) 0.02 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2350317523 and -3.\nAnswer: -2350317526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/n*n*n*n**14)\/((n\/(n**(9\/4)\/n))\/(n\/n**(-3\/7)*n*n*n)))**(7\/3) assuming n is positive.\nAnswer: n**(249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 (base 11) in base 2?\nAnswer: -1001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, -0.18, -1\/3 in ascending order.\nAnswer: -11, -4, -1\/3, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - 2*sqrt(144)).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 70\/157667?\nAnswer: 70\/157667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 11928*k**2 + 901274112*k\/5 + 357859842048\/5.\nAnswer: (k + 408)*(k + 29616)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12012094 - 28281094. What is t rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 r when four letters picked without replacement from errernrcncrcn?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166635 by -207.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4. Suppose -8 - 12 = -4*m. Let s(z) = -6 + m*z**2 + z**2 + 5. Calculate s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*z = -z - 4, 2*p - 3*z = -3. Suppose p = q - 5*x - 165, -2*q - 5*x = -0*q - 405. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + 3296*w + 16456. Let z be n(-5). Let t be (-4)\/(-18) - 502\/(-9). Is z > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454 + -449. Let l be (-3 - u) + 2 - -20. What is the highest common factor of l and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) + (-1)\/((-5)\/3248). Let g = -431 + r. Suppose -4*s + 221 = -g. What is the greatest common divisor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 14. Let p be w(10). What is the highest common divisor of p and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.235 or 3199?\nAnswer: 3199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 + 16*h**2 - 111*h**2 + 2 + 4*h - 85*h**2.\nAnswer: -150*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1392)\/1566)\/((-32)\/(-936))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1 (b) 3\/4 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56, -3\/2, -1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*(-23 - -26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1 + (-1)\/3). Let d = 3 - t. Let u be 96\/80*(-5)\/(-3). Solve d = 5*y + 2*p - 12, u*p = 2*y + 3*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -1513, -3455, -6199, -9751, -14117?\nAnswer: -19303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30635 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*l + 2*l. Suppose -2*z - 80 = -l*z. Suppose -5*q - z = 0, -3*o + 32 = 3*q - 58. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from ueppenepennneenpunwe.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3\/7 + 171340*q**2\/7 + 53895236*q + 213344417876\/7 = 0.\nAnswer: -40541, -1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -280*y + 1716. Let t be f(6). Solve -8*o + t = -17*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61436\/2143 greater than or equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:55 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9)\/((-1)\/(-6)). Suppose 3*v = m*v. Suppose 2*p - 6 = v, n - 6*n - 3 = 4*p. Sort -4, 2, n in decreasing order.\nAnswer: 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, 1 h, and 1 y when four letters picked without replacement from yqhqnyqjrjrqq?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294568423 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2 + 4235*a + 12219.\nAnswer: 4*a + 4235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 5.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1302.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 <= -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-2)\/55)\/(7980\/(-660)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -17) + 0 - -3. Let m = r + -14. What is the remainder when 7 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 212 - q**3 - q**3 - 105 - 103 + 21*q**2 to t*q**3 + f + a*q + x*q**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 + 1334*r**2 - 5*r + 36. Let d(s) = 6*s**3 + 1334*s**2 - 4*s + 30. Determine -6*d(h) + 5*p(h).\nAnswer: -h**3 - 1334*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 6.4, -1\/11, 4\/165?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3 + 2 - 1 + 1 + (-3 - 1 + 3)*(-4 + 4 - 1))*(-82470 + 82470 + 227*d)*(-1 + 6 - 2) as o*d + j and give o.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 55*c + 12*c + 25*c + 18*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2152?\nAnswer: 5\/2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**5 - 5*x**4 - 10*x**2 + 5*x. Let h(n) = n**4 - n. Suppose 10 = y + 11. Let k(t) = y*s(t) - 5*h(t). Find the third derivative of k(l) wrt l.\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 - 2*d. Let x(a) = a**3 - 7*a**2 + 3*a + 1. Let h be 1 + (-75)\/81 - 3900\/(-2025). Give h*x(j) + 3*p(j).\nAnswer: -j**3 + 7*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/16*16\/14)\/1. Which is the nearest to l? (a) 2 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 9. Let r be g(11). Let o(h) = 12*h**2 - 2*h - 2. List the prime factors of o(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -2\/7, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669, 581, -1009, -4851, -11695, -22291, -37389?\nAnswer: -57739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200947645 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*i**5 + 5676*i**4 - 97236*i**3 + 402516*i**2 - 481140*i = 0. Calculate i.\nAnswer: 0, 33\/14, 3, 15, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 21*s - 1. Let h(c) = 13101 + 188*c - 186*c - 13112. Determine g(h(v)).\nAnswer: 42*v - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26182 bigger than 26182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364853 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3995)\/102)\/47 + 308\/312?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 4, s: 7, d: 2, i: 2, g: 1}. What is prob of sequence dii?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6996)\/(-14) + (-12)\/(-42). Calculate the highest common divisor of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyw when four letters picked without replacement from wwyyyyyywwywww.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3\/2 - 144*v**2 - 6657*v\/2 - 3186 = 0?\nAnswer: -59, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**5\/50 - a**4\/15 - 7*a**3\/5 - 18*a**2\/5 - 42*a - 131. Let n(j) be the first derivative of r(j). Factor n(c).\nAnswer: 2*(c - 6)*(c + 1)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54703 < 54700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018542 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283040 + -187183. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2255, 4506, 6755, 9002, 11247?\nAnswer: 13490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -11*f**5\/20 - 19*f**3\/6 + 41*f**2. What is the derivative of v(s) wrt s?\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 104*r - 2570. What is v(50)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-19*1\/(-10))\/(-1) and 2\/((-1)\/(6\/20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7497, 15031, 22643, 30369, 38245, 46307, 54591?\n\"Answer: 6*s**3 + 3*s**2 + 7483*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 4*d - 1. Let h be a(-3). Suppose h*j - 2*f - 25 = -3*f, 2*f - 2 = 2*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/9*42\/(-56).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-114)*(-279)\/(-31)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8160*a**3*m**2*o + 8*a**3*m**2 - 320*a**2*m**2 with respect to o.\nAnswer: -8160*a**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -13. Let d(w) = w + 8. Let y be d(-4). Suppose -2*t - z = -y*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 11. Let r(o) = 3*o - 7. Let z(q) = -8*r(q) - 5*w(q). Let u be z(8). Let f be u\/2*(-16)\/(-12). Solve f*v = 2*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851\/4 at most -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjzjpjz. Give prob of sequence jj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93712056 and 76?\nAnswer: 1780529064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -169200 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1 + z + 8*z - z**2 + 0*z**2. Let m be u(4). Is (m - -1)*2\/2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2.8, -2\/9, -58?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4020099*a**2*z**3 - 16755510*a**2 - 3*z**3 wrt z?\nAnswer: 12060297*a**2*z**2 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 + 991*g + 73*g**2 + 485*g - 21*g**3 - 27*g**2 - 178*g**2 = 0. What is g?\nAnswer: -12, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*g)*(11*g - 37*g - 46 + 44).\nAnswer: -52*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/6 + 13*d**4\/3 + 85*d**3\/6 + 29*d**2\/3 = 0.\nAnswer: -2, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9890737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -463, -1012, -1727, -2578, -3535, -4568?\nAnswer: -5647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -1516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.3. Let s = 234 - 233.5. What is the nearest to l in s, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -6.8. Sort -4, 3, c in descending order.\nAnswer: 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 616280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 2*l**3\/27 + 9. What is w in m(w) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34571 or 34431?\nAnswer: 34571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 2*q - 3. Let s(n) = 15*n - 10. Let p be s(1). What is j(p)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168273796 and 3473.\nAnswer: 3473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3 - -2091?\nAnswer: 2078.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -f - 10, 10 = -r + 5. Solve f*m + 2 = 7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 642 and 69698088?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 15 = 4*p. Suppose -d - d + p*y = -31, -2*d = -4*y - 26. Solve -j = -3*j - d*f + 16, j = -4*f + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57)\/12 + 5)*187972 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*200\/(-440))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20360109*n*r**3 + 2*n - 2*r**3 + 46*r**2 - 349792*r + 2 wrt n?\nAnswer: 20360109*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -274\/5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/6 + w**2\/2 - 53*w + 61. Let g(u) be the second derivative of y(u). Let s(j) = 2*j**2. What is g(s(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/11 - -1*1. Let w = -5851 + 5851.5. Sort y, w, -0.3, 5.\nAnswer: -0.3, y, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 + 8220*z**2 + 241744*z = 0 for z.\nAnswer: -29, 0, 2084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30771432 + -24162?\nAnswer: 30747270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 9\/5 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a + 8*a - 5*a - 8*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100100 (base 3) to base 10\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -0.3, -5, 0.4, 50, -16, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*p**2 + 2451*p + 156*p**2 + 2448*p - 4899*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + 0. Suppose 3*p = -2*b + 11, -b + 2*b = 2*p - 12. Suppose -2*i = p*u - 36, 0 = -2*u - 3*u + i + h. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 66 = -390. Solve 2 - z = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 2*c**2 + 5*c - 7. Let u be 3\/9 - 4\/(-6). Let d be 5*(u - (4 - 2)). Is m(d) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 14*v + 294 = 0. Let y = v - -104. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19107?\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 4*m + m)*(2 - 3 - 1) + 4*m - m - 5*m - 2844*m - 2241*m + 2705*m.\nAnswer: -2386*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, 1 x, and 1 g when four letters picked without replacement from {c: 2, x: 2, v: 4, b: 1, g: 5, m: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 713\/6 and 118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30530 = n, -7*y = -6*y + n - 6102. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 171, 0, -2, -5, 2 in ascending order.\nAnswer: -5, -2, 0, 2, 21, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 219?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 - 18*a**2 + 2*a + 12. Let r be x(-6). Suppose g + y - 7 = 0, g - 4*y + y - 11 = r. Calculate the greatest common factor of g and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80496, 155594, 230706, 305838, 380996?\nAnswer: 456186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4392 by 6.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*u + 31, u + 4 = -d - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) - ((-3 + sqrt(448))*1 - sqrt(448))**2 - sqrt(448) - 2*((sqrt(84)*4)\/sqrt(12))**2.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 3299.769297.\nAnswer: 3298.769297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - f**2 - f + 1. Calculate w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2464*p - 24 + 10 + 14 - 272*p to the form v*p + z and give v.\nAnswer: 2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 764.9068 * 0.22.\nAnswer: 168.279496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16\/959 - -11588\/4795. Factor -w - 3\/5*v**2 + 3*v.\nAnswer: -3*(v - 4)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11c5 (base 13) to base 10\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623, -1315, -2003, -2687, -3367?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + b + 16. Suppose 2*w - 5 = w. Let z = 7 - w. Let p(l) = 0*l**2 - 10 + 4 + 9 + l**2. Give z*f(g) - 11*p(g).\nAnswer: -g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2928851*h*m**3 - h*m**2 - 305*h*m - 3*h + 10*m**3 - 9*m**2 + 2*m - 450 wrt m?\nAnswer: -17573106*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*j - 37, -221 = 2*b - 5*j - 230 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 6*s**3 + 8*s**3 - s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 1, 3*o = -a + 7*o + 11. Let l be 22\/165 + 236\/30. What is the smallest common multiple of a and -2 - (l*-1 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2403 - 1162. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -44. Suppose -q + g*x - 29 = -3*q, -41 = -3*q - 4*x. Solve -5*z - 2*k - 12 = 0, 0 = -4*z + k - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*r + 287*r = 3552*r + 131900 - 473532 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 904.54.\nAnswer: -904.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08633265463 rounded to 4 decimal places?\nAnswer: 0.0863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose -5*d + 49 + 41 = v. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 22 - 2*z**2 + 26)*(36 + 47 + 22).\nAnswer: -105*z**2 + 420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 3087?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2 - f**2 - 3*f**3 + 5*f**2 + 4*f**3. Suppose -2*o = -5*o + 72. Let z be (8\/o)\/((-1)\/9). Determine r(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/8))\/(s**(-7)*s)*((s\/s**(-1\/5))\/s)**(13\/2) assuming s is positive.\nAnswer: s**(367\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1866816 and 149\/27710550?\nAnswer: 886737600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 10*i - 92. Let t be n(-4). Solve 0 = -4*m - t, 6*d = 3*d + 5*m + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-27)\/i)\/(i\/(i*i*i*i\/(i**30\/i)*i))*((i**(-37)*i)\/i*i)**(-37) assuming i is positive.\nAnswer: i**1279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 87.14806kg?\nAnswer: 87148060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22524 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208651 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 15*d - 9*d + 29*d.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112.54 - 1.46. Let b = c - -117. Let h = -1 - 0. What is the closest to h in b, -4\/3, -2\/15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**3 - 24*b - b**2 - 2 - 45*b**3 + 47*b**3 to o*b**2 + g*b**3 + p + h*b and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0 + 9*s - 3\/2*s**2 - 5\/16*s**4 + s**3 + 3\/80*s**5. Factor k(r).\nAnswer: 3*(r - 2)**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -884973268 divided by -4\nAnswer: 221243317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014 and -0.275694.\nAnswer: 0.003859716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*(-2*sqrt(539)*-2 - sqrt(539)))**2)*-1.\nAnswer: -174633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 24, 34, 58, 102, 172?\n\"Answer: f**3 - 2*f**2 + f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19175.0033 minus 0.63?\nAnswer: 19174.3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2329*o**4 + 12*o**3 + 2*o + 659. Let n(x) = -4657*x**4 - 30*x**3 - 5*x - 1317. Let j(q) = -2*n(q) - 5*w(q). Differentiate j(y) wrt y.\nAnswer: -9324*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 68, 44, -40, -202?\n\"Answer: -3*c**3 - 3*c**2 + 48*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237 + 1237 - 2*f**3 - 2*f.\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*d = 408*d - 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -74, -175, -318, -503?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30979?\nAnswer: 13, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/6 - 10*k - 30. Let u(a) be the first derivative of l(a). Let c(s) = 4*s**2 - s**2 + 0*s**2. Determine c(u(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2741874 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 167576.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-98)\/16))\/(105*464\/539980).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 - 45*i**2 + 18*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85419 + -1024598.\nAnswer: -939179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aml when three letters picked without replacement from {e: 6, s: 3, m: 1, l: 2, a: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -13*c + 11, -38 = c + 3*g - 49 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let p(b) = -5*b**2 + 4. What is -4*h(q) - p(q)?\nAnswer: q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 9787*g - 104 = -9786*g, -5*n = 2*g + 65 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011011 (base 2) in base 9?\nAnswer: -658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*o + 6, 0 = -3*c - 3*o + 53 - 38 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 106*d + 3312. Let l be q(97). What is the highest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccrcccrrccrccrc. What is prob of sequence rcrc?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37 (b) -2\/7 (c) 208\/9 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 2\/7, -25, 17.32, 0.38?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + 14*t**2 + 10*t - 31. Let w be i(5). Which is the closest to 0.1? (a) -0.4 (b) -1\/5 (c) 1\/5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*b + 19 = 7, 5*k - b - 22 = 0. Let y be ((-140)\/72 - -2)*4. Factor 0 + y*o**2 - 4\/9*o + 4\/9*o**3 - 2\/9*o**k.\nAnswer: -2*o*(o - 2)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c2 + -2b16?\nAnswer: -30d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 2*x. Let c = x + -5. Let b = -76053 - -76058. Solve -4*t = 2*a + 2*a - 4, -5*a = -c*t - b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37152 and 9085728.\nAnswer: 81771552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -54, -5 in descending order.\nAnswer: 5, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**3*o**3 + 8505*a**3 - a**2*o**3 - 12*a**2*o - a*o + 515*o wrt a?\nAnswer: 36*o**3 + 51030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*f - 6763 + 4171 = 0 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/(((-200)\/15)\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -51*t + 21. Let m(h) = 5*h + 0*h + 0*h - 2. Let k = 30 + -32. Determine k*l(x) - 21*m(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-560)\/(-60))*1104\/72\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11860, -11718, -11326, -10558, -9288?\nAnswer: -7390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4) + (-7)\/(-2). Suppose 0*d = -x*d - 90. Let r be (-12)\/d*(-1)\/2. What is the nearest to -0.1 in 2\/3, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37755?\nAnswer: 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6283484, -6283483, -6283482, -6283481, -6283480?\nAnswer: -6283479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*z + 3*z + 4980, -2*z - 6 = 0. Let a(v) = 114*v - 19. Let q be a(-8). Let g = q - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 522006 by -6.\nAnswer: -87001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -17*j + 3*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6166 + -1605433?\nAnswer: -1614632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -17732.039 to the nearest ten.\nAnswer: -17730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 15*i**4 + 27*i**3 + 6*i**2 - 24*i - 24. Let u(r) = -r**4 - r**3 + r**2 + r. Let s(t) = m(t) + 12*u(t). Determine f, given that s(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -9935?\nAnswer: -9935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 91318\nAnswer: -821862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 96*y**3 - 8*y**2 - 115*y + 313. What is the tens digit of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/8 - 13\/8. Sort -0.2, -4, o.\nAnswer: -4, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1632\nAnswer: -1\/816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27355*b + 9 - 9 + 5598*b.\nAnswer: -21757*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*u = -91, -4*u = -a + 56 - 3. Let r = 44 - a. Solve -4*s = -5*t + 6, 0 = 5*t - t + r*s - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 21*y**2 - 1. Let r(o) = 5*o**2 - o - 4. Let j be r(-1). Suppose n + 7 = -2*z, -5*n + z + j = -7. Give s(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 1686*d**4 + 1690*d**3 - 5060*d**2 - 1689*d + 3374 = 0.\nAnswer: -2, -1, 1, 1687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 60. Suppose 530 = 5*u + g*w, 2*u = -2*u + 3*w + 396. Calculate the least common multiple of u and 51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*n + 36*n - 101*n + 21*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + 7 + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(6\/2) - -2154. Let h = k - 43171\/20. Calculate the common denominator of h and -21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179638.\nAnswer: 2, 89819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 6. Let r(m) = m**2 - 8*m + 6. Let p be r(b). Solve q = 4*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -61?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/9, -2, -3\/301, 1\/21?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {u: 1, x: 1, t: 3, y: 2, h: 3, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 452, 3, -2, 2 in increasing order.\nAnswer: -4, -2, -1, 2, 3, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 5, 4, 0.5, 11091\/20, -2\/5, 2\/5?\nAnswer: 11091\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 311201?\nAnswer: -311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.011 (b) -3 (c) 0.2 (d) 4 (e) 7 (f) 67 (g) -0.21\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4459 + 4461. Which is smaller: b or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*j = f - 563, 0 = -4*j + 4. Suppose -f = 3*o - 7*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 5, 3*o = 3*z - 6. Let j(p) = 3*p**2 - 2 - 13*p - z - 2*p**2 + 0. What is the tens digit of j(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 5 - (0 - 24). Suppose -2*r = -x - a, -2*r - 6*x = -x - 5. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/8)\/((-6)\/(-4)). Let u be 1\/2 + (-1)\/2. What is b in x*b**2 + u - 1\/2*b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -10*c + 11*c. Let q = -156 - c. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6 and 11\/17487.\nAnswer: 34974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257847989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/12)\/9)\/(7\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-16)\/12)*12. Let m be ((q\/(-12))\/2)\/((-1)\/15). Let n be (m + 13 + -3)*(0 + 1). Solve -13 = -n*z + 3*a, 0 = a - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*n**2 + 133*n**2 - 244*n**2 + 2*n**2 - 2*n**2 + n**2 + (-2 - 3 + 4)*(5*n - 5*n - 2*n**2) + (5 + 4 - 1)*(-3*n**2 + 3*n**2 + 5*n**2).\nAnswer: 59*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 56 - 32 = 0. What is the hundreds digit of 2\/(-18) - (p + (-12968)\/72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000904 to 6 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 14*w + 9. Let p be x(-6). Suppose 0 = p*a + a - 1144. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -571*h**5\/5 + 421*h**4\/6 - 2744*h. Find the third derivative of i(w) wrt w.\nAnswer: -13704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgs when three letters picked without replacement from {s: 3, z: 1, g: 5, u: 4}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -0.17, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (-3 + 9))\/2. Let z(w) be the second derivative of c*w**3 + 8*w + 0*w**5 + 0 + 0*w**4 - 5\/2*w**2 - 2\/15*w**6. Differentiate z(h) with respect to h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + (-558)\/(-155). Suppose 3*d = 5*r - 6, 0*r + 3*r - 8 = 4*d. Suppose -172 = k*o - 7*o - 2*p, r = -5*p + 20. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 15*y - 8, -25034 = -2*u - 4*y. What are the prime factors of u?\nAnswer: 7, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxtxxqxqqq. Give prob of sequence xqqt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 14*y - 28 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, -17, -435, -1323, -2837, -5133, -8367?\n\"Answer: -26*l**3 - l**2 + 81*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*p - 3 - 499*p + 2 - 194*p.\nAnswer: -1246*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 768 + -764. Let s(d) be the first derivative of 0*d**x + 0*d**2 + 0*d**3 + 6 - 13\/5*d**5 + 8*d. What is the derivative of s(i) wrt i?\nAnswer: -52*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, w: 2, j: 3}. What is prob of picking 3 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 70980888, 70980884, 70980878, 70980870, 70980860?\n\"Answer: -y**2 - y + 70980890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7830\/(-406) + 4\/14. Let l be (-2)\/4*104\/17121. Let v = -106661\/5268 + l. Is o less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 360923927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400521175*o**6 + 3*o**2 - 15808935*o.\nAnswer: -48062541000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 140*q**2 - 13*q + 1169. Calculate n(70).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*s**4 - 4*s + 9*s**2 - 3 + 8*s**2 - 13*s**2 - 5*s**2 - 30*s**3 as z*s + q + t*s**2 + u*s**4 + a*s**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55.1 + -57.1. Sort 0.2, b, -16, 0.5.\nAnswer: -16, b, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 578734149*n**4 + 574406423.\nAnswer: 2314936596*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:45 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -0.84?\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 6*u - 1. Let d be a(-6). Let t be 1*(-3 + 152 - d). Suppose -2*p + 20 = 3*p, -p - t = -2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(8\/(-216)*-9)\/((-308)\/(-63))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1965 - 1106. Let i = -789 + b. Calculate the smallest common multiple of 140 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - 3177622\/(-50445) - 2\/45?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 63\/(-10 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40223233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*v + 2*l**3 + 25*l**2*v - 8*l**2 + 343507*l*v + 211*l - 17 wrt v.\nAnswer: -2*l**3 + 25*l**2 + 343507*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156898.\nAnswer: 2, 7, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u - 6 = -33*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 18 = -c + 8, -5*j + 22 = -3*c. Solve -j*y + 4*y = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2780525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34606, 69454, 104302?\n\"Answer: 34848*y - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 886948\nAnswer: -2660844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-21) - (-33)\/7 is divided by 0 + 1\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 43*m**2 + 8*m + 10. Let x be u(-2). Let w = -164 + x. Which is the nearest to w? (a) -3 (b) -1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {h: 3, n: 5, u: 3, q: 1, y: 5, a: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 2*y)*(3*y - 5*y + 8*y).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38925 + -38927. Sort -1, -56\/3, 0.1, o, 0 in increasing order.\nAnswer: -56\/3, o, -1, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 12 = 4*o, -4*q - 4*o = 32. Let s be 1\/(-3 + (-10)\/q). Let m be 26\/(-9) + s + 5. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 85040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 4) - -5 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = -4*z. Suppose 2*g + 10 = n - z*n, -2*n - 10 = -2*g. Let p be g\/((-3)\/(-1) - 4). Solve p = -0*u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 18 = 2*y. What is the third derivative of y*t**2 - 5*t**2 + 0*t**2 - t**4 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-1\/3))\/q*q)*q)\/q)**(1\/37)*q**(-4\/5)*q**(-1\/4) assuming q is positive.\nAnswer: q**(-2311\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 7 - 3 + 4*c.\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 688 + -529. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10082 + 9572 = -85*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1373 - -2130. What are the prime factors of g?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 3, 553 in ascending order.\nAnswer: -68, 3, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-183.5.\nAnswer: 5688.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from vwyyyywyyayyyy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 1, e: 5, f: 3, v: 1}. Give prob of picking 1 r and 2 e.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 329456*x\/7 - 329442.\nAnswer: -2*(x - 164721)*(x - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-14)*((w*w**6*w)\/w)\/(w**(-2)*w) assuming w is positive.\nAnswer: w**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 397*y - 1595. Calculate p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 14*v**2 - 14*v + 9. Let q be j(13). Let y = -1 - q. Solve y*t - 11 = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/((m**(3\/4)\/m*m)\/m))\/(m\/(m**(-3\/4)\/m)*m))**(4\/13)\/(m**13)**(-45) assuming m is positive.\nAnswer: m**(7603\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*i**3 + 23*i**3 + 10*i**3)*(4*i - 4*i + 2*i) + (2519*i - 2519*i - 10*i**2 + 1)*(-i**2 + 3*i**2 - i**2).\nAnswer: 22*i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3294 + 10774. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 - (-6 + -1956) - -19 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003319 to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81441, 325035, 731025, 1299411, 2030193, 2923371?\n\"Answer: 81198*l**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/(-10))\/((-2)\/5). Let a be 12\/s*(2 + 0). Suppose -3*q + a + 12 = 0. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 237275?\nAnswer: -237276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and 15\/506.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 - (2 - (3 - 2)). Let o = -15 - q. Let t be 1 - (o - (-4)\/8). Which is the third smallest value? (a) 2 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k + 0*k**4 + 12 + k**5 - 10\/3*k**3 + 0*k**2. What is s in n(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 1. Let m be 14\/(-21) - 3\/9. Let r(z) be the third derivative of z**4\/24 + 95*z**2. What is m*r(n) - y(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84623 is divided by 84448?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 4)*(-10*c + 1 - 1) + (4*c + 2*c - c)*(2 - 5 + 1 - 1 - 4 + 4 + (0 + 2 - 3)*(3 - 2 - 2)) to the form m + j*c and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8314 is divided by 208.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - 11*t**5 - 24*t**5 + (-t - t + t)*(-t**4 + 5*t**4 - t**4) + (-t - 3 + 3)*(-2*t**4 - 1 + 1).\nAnswer: -37*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/49 - ((-57849)\/21 - 0)?\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/6*(-6 - -14)\/40. Which is the third smallest value? (a) -2\/3 (b) -6 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(24)\/sqrt(4)*5*-6)\/((sqrt(8) + (sqrt(288)*2 - sqrt(288)) + sqrt(8))\/((sqrt(36) - sqrt(324))\/sqrt(9))).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15050597.1 hours?\nAnswer: 89586.8875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 15)*28\/3. Let y = -84 - f. Solve 0 = 2*b - y*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1414)\/(-303) - (1 - (-8)\/(-6)). Suppose -l - 2*l + 3*u = -36, g*l - 52 = -3*u. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. What is the units digit of 0 - (-3 + 2 + b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/60 - p**5\/20 - p**4\/6 - 88*p**2. Let f be o(-1). Solve 4*r + 7 = 5*r - 2*z, 0 = f*r - 5*z - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 3, 2.776?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 6*a - 5*a + (-2*a + a + 0*a)*(0 + 2 + 0) + 3*a - a - 4*a + (-1 + 1 + 1)*(0 + 1 - 3)*(-16*a - 13*a + 6*a) to the form y*a + l and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -340, -514, -690?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.79163 milligrams to grams.\nAnswer: 0.02079163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54919.32 to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 - 1 - (13 + -13).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1.4201, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19847295*s**2 - 9923651*s**2 - 9923647*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3848\/24)\/13 - 4\/(-6). Solve -a = 3*s - x, -3*s + 2 = -a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -22*h + 15 - 1 + 28*h. Let g(d) be the first derivative of -3 - 4*d**2 + 4 + 6*d**2 + 4 + 9*d. Give -8*g(p) + 5*i(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 430*z - 852*z + 433*z + 297 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1521260 = 43*f + 9*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -35, -51?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2865)\/(-4) + 0)*144\/54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 274\/(-14) + 2 + -4. Let m = 22 + p. Let n = 7 + -7.6. Put 5\/3, m, 1\/4, n in ascending order.\nAnswer: n, 1\/4, m, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11319 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/8976 and 85\/681464?\nAnswer: 764602608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-380)*4)\/(8*(-69)\/(-4784))\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60731.75l to millilitres.\nAnswer: 60731750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379734 or 0.37?\nAnswer: 379734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -102\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3450)\/180 + 0 + 19?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5573*y - 27864. Let z be x(-5). Let c(r) = -r. Let t be c(1). Sort -10, z, -2, t in increasing order.\nAnswer: -10, -2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 380814 - 380814 - 4049*u to s + m*u and give m.\nAnswer: -4049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -740 + 740.3. Which is the nearest to 6? (a) 0.1 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 18 = 4*z. Let x(m) be the first derivative of 1\/2*m**2 + m**z - 1 + 0*m. Find the second derivative of x(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65138791?\nAnswer: 41, 1588751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*s = -672*s - 7656. Suppose 2439 = 7*i - s. What are the prime factors of i?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -86, -3\/4, -0.2, 2\/17.\nAnswer: -86, -3\/4, -0.2, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 (base 7) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/540 - h**5\/45 + h**4\/9 + 7*h**3\/6 + 6*h. Let g(u) be the second derivative of i(u). Suppose g(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**2*g\/g**(-1)*g)\/(g*g**(6\/11)*g**(2\/9)*g))\/(((g\/((g**(-2\/11)\/g)\/g)*g*g)\/g)**(-50))**(-24) assuming g is positive.\nAnswer: g**(-496777\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-172)\/132 - (1 - 1) and -16\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 17*q**4\/24 + 37*q**2\/2 + 12*q + 1. Let t(u) be the first derivative of d(u). Let l(r) = -2*r**2. Calculate l(t(y)).\nAnswer: -578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, -33*c + 105 = -30*c + 4*j. Solve 0*a - 5*a + c = -2*n, -2*n = 2*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**4 - 7*s**3 + 12*s**2 + 14*s - 2. Let x(m) = 10*m**4 + 15*m**3 - 23*m**2 - 29*m + 5. Let j(k) = -6*x(k) - 11*y(k). Factor j(g).\nAnswer: -(g - 1)*(g + 2)**2*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -409723000 to the nearest one million.\nAnswer: -410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 6*h + 37*h**2 - 65*h**2 - 155*h**2.\nAnswer: -183*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 7*w - 2. Let n be l(6). Let p = 6 + n. Let g be 7 - 180\/27 - (-14)\/12. Which is the biggest value? (a) 1\/2 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*b + 142 + 60, 4*b = 3*i - 136. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/((-8232)\/(-147))*(29 - (0 + 3)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 67. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*o + 248, -7*o = -3*a - 3*o - 179. Let n = a + 27. What is the units digit of n\/(-5) - (-4)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 1 - 3 - 8*j**3 + 10*j**3 + 2*j**2)*(1641 - 3354 + 3*j + 1596) in the form h*j**3 + p*j**4 + z + t*j**2 + b*j and give h.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -4 - (-63)\/9. Suppose 0 = c*h - 14 + 2. Solve -7\/3*v**h - v**2 + 4*v**3 + 0 - 2\/3*v = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-35))\/((-7)\/(-2)*167\/(-5845)*2).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -323?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/3)*b*b**(1\/5)*(b\/(b*b\/(((b*b**(4\/3)\/b*b)\/b)\/b)*b))\/(b\/b**(1\/5))*(b**(-1))**16*b**(-2)*b*b**(1\/2) assuming b is positive.\nAnswer: b**(-583\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (-1 - (4 + -32))) + 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.1, -101, -1\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**5 + h**5 + 6*h**5 + (0*h**2 + h**2 - 3*h**2)*(-4*h**3 + h**3 + 2*h**3) - h + 5*h**5 + h.\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*x - 29*x - 1855. List the prime factors of x.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*y**4\/11 - 4*y**3 - 114*y**2\/11 + 216*y\/11 = 0. What is y?\nAnswer: -3, 0, 4\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/((-1)\/(-2)). Let q = -142\/5 - -57\/2. Let n = -203 + 205. Which is the nearest to d? (a) -2\/5 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/7 + 246571*k**3\/7 - 493131*k**2\/7 - 1725979*k\/7 - 986276\/7 = 0?\nAnswer: -1, 4, 246569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840870 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 21. Let v(n) = 8*n + 43. Let h = -36 - -29. Let r(z) = h*i(z) - 4*v(z). What is the remainder when r(-10) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 77. Suppose -2*q - q = -2*u + t, 3*u = 2*q + 19. What is the lowest common multiple of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 25*x**2 + 88*x + 64. Calculate z(6).\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50.062 + 0.062. Let h = w - -49.99984. Round h to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2776*w**4\/7 + 5620*w**3\/7 + 136*w**2\/7 = 0. What is w?\nAnswer: -2, -17\/694, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose -4*b + 2*p + 14 = 0, -a*b - 17 = -6*b + 5*p. Solve -b*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 7*g**5\/20 + 17*g**2\/2 - 12*g - 8. Let b(o) be the first derivative of z(o). What is the first derivative of b(d) wrt d?\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101085, -404559, -910357, -1618485, -2528949?\nAnswer: -3641755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1606 and 97\/2.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 307308.7cm?\nAnswer: 3073087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/81 - -532\/405. What is the smallest value in 2, q, -2\/11, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4353 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 187*x + 42. Let s be r(6). Suppose -4*u + 16*u = s. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 24470*i - 24400*i)*(-i + 0*i - i) + (-4*i + 0*i + 2*i)*(4*i + 2*i - 5*i) + 11*i - 4*i**2 - 11*i to the form k + q*i**2 + j*i and give q.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 165*d - 3588. Let p be a(24). Let m(j) = j**3 - 3*j**2 - 2*j + 4. Let n be m(4). Calculate the highest common divisor of p and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26299554.9 and 145.1.\nAnswer: 26299700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -131, -4, -3 in descending order.\nAnswer: -3, -4, -121, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110544522 to seven dps.\nAnswer: 0.0001105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 278, -3199 in decreasing order.\nAnswer: 278, -5, -3199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75338674231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2652*i - 2777. Is t(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 32*w**2 - 33*w - 7. Let i be n(-33). Let a(m) = -7 + 0 - 6*m**2 - 7*m**2. Let z(k) = 7*k**2 + 4. Determine i*z(f) - 4*a(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -4 - (-3 + 0 - 23). What is the greatest common divisor of d and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 11*j = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 1.2 in increasing order.\nAnswer: 0.2, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-19) + 38\/14 + (-27)\/(-756)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 23*h - 100 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 20992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2852745 divided by 28245\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2. Let o(f) = 0*f - 6*f + 0*f + f. Calculate o(x(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 + 5*k. Suppose -5*g + 4 = -4*r, 4*g - 4*r = -2*r + 8. Suppose g*m + 60 = 8*m. Suppose -2*c - 7 = 3*l + 4, -5*c + 5*l = m. Give v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 7*l + 375079997 = -10*l, 5*l - 93770005 = 2*j. Round j to the nearest 100000.\nAnswer: -46900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158140883?\nAnswer: 929, 170227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.89 - -1.89. Which is the closest to -2? (a) 0.5 (b) 7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - h = 2*h - 33, 2*h = -2*f + 14. Let x be -750*(-16)\/(-12)*-5200. Suppose f*t = 2*t + x. What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*i**5 - 13*b*i**2 - 45*i**6 wrt i.\nAnswer: 60*b*i**2 - 5400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*r - 20 = -4*q, 5*q - r - 56 = 0. Suppose -3*d - q = -h, -2*d = -h + 3*h - 6. Is (3*2 + -1)*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061474966 is divided by 335.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 5*i**3 - i**2 + 2*i**4 - 6 + 3*i**3 + 2*i as s*i**3 + u*i**4 + r*i + v + c*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 less than 957009511229?\nAnswer: 957009512044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -4*n**5\/5 + 7*n**3\/3 + 5. Find the third derivative of z(m) wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 4598?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*f**4 - 3420*f**3 - 1460*f**2 - 160*f.\nAnswer: -5*f*(f + 8)*(9*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 1. Let u be p(1). Suppose -5*d = v + u, 0 = 3*v - d - 3 - 10. Solve -v*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/7 of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 32 + 406 = -116. Is r > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 100*z - 406. What is r(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 8*p - 15. What is q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9 + 4*n**3 - 149*n - 5*n**3 + 160*n - 13*n**2. Let v be (-72)\/5 - (-2)\/5. What are the prime factors of s(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37949577, -37949573, -37949567, -37949559, -37949549?\n\"Answer: b**2 + b - 37949579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -2*q**3\/3 - 5*q**2\/2 - 2890. Let v(n) = -4*n**2 + n - 1. Let l be v(1). Give r(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42664466 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*r - 51 = 0, -4*f - r = -4*r - 99. Solve -14 = -5*i - f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157537 (base 15) in base 9?\nAnswer: 1850817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.5 - 380472776?\nAnswer: -380472063.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2821 divide 87601247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:28 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 11 + 10. Suppose 513 = k*d + t - 377, 0 = d - t - 302. List the prime factors of d.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = o - 21859, 10954 = 2*a - 28*o + 32*o. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.01 (b) -0.08 (c) -0.3 (d) -0.4 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 3.05, -2\/5, 2\/3, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-18)*-2)\/(24\/(-9))*-8. Let x = -8 - -13. Put o, -4, -1, x in descending order.\nAnswer: x, -1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 134, 63\/275 in decreasing order.\nAnswer: 134, 2, 63\/275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:10 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - z = -428 + 1088 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38 - -23)*((-7)\/3 - -1). Calculate the highest common divisor of f and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235688749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 96*q + 49 - 99*q + 51 + 42.\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144931220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -214*u + 130*u + 63504. Calculate the greatest common divisor of 154 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssd when three letters picked without replacement from {v: 3, t: 4, d: 6, s: 3, n: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -10, 4, -0.1, 79, -2?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484351924 to the nearest integer?\nAnswer: 22008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -8\/3 (c) 0.5 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - 8*p - 7. Let v be t(-5). Let q = v - -43. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6235\/7 + 891. What is the biggest value in u, 1, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121\/3 + 41. Is -3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2225 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 8*v**2 + 3*v**2 - 2*v**2 + 3*v**2 - 2*v**2 + (-v - 1 + 1)*(-3*v - 3*v + 4*v) + (-1 + v + 1)*(-6*v - v + 2*v) as n*v**2 + o*v + p and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*l**4 + 0*l + 2\/3*l**2 - 1\/3 + 0*l**3 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8577360 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.176 + -33.476. Let g = -33 - t. Which is the nearest to g? (a) 5 (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 807\/9 - ((-45)\/(-25) + 17\/(-15)) and 26\/3 - (-3)\/9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 3. Let i be o(-7). Let y = i + 18. Calculate the highest common factor of y and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 236.293 + -222.33. Round u to 1 dp.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 2. Let x be i(2). Suppose 4*r + 4 = -x. Let l = 49 + r. Find the common denominator of l and 1\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 8 - 9 = 2*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 2 (b) -6 (c) 0.5 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77.415 - 2.585. Let d = -960.3 + 888. Let n = d - t. What is n rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 37*n = 0. Solve 0*u - 2*b = -4*u - 10, u - 5*b - 11 = n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or 0.1?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j - 2*i + 12, -4*j - 5*i = -28. Suppose 0 = -j*k - 3*k + 25. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.2 + 3.2. Let j = 7088483.42 - 7088422.4199931. Let h = w + j. What is h rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1456 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -1378 (c) -2\/7 (d) 3\/7 (e) 8 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -2, -8, -1, 0.15, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -337, 2\/7, -3, 0.1, 5.\nAnswer: -337, -3, 0.1, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/(-50))\/((-195)\/52)*12)\/(8\/(-90))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15649802?\nAnswer: 2, 7, 1019, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v. Let j = -1 + v. Let c be (-2)\/4*((-2)\/2 - -3). Is c >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -541*j**2 - 87090*j + 1771. Give n(-161).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 154\/42 + (-4)\/6. Suppose -c*g + 0*g + 60 = 0. Solve 8*h = 4*h + g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 431441 and 0.137.\nAnswer: 59107.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 12) in base 4?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {k: 6, h: 2, b: 1, q: 5, f: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 7*o - 5*o**3 - 7*o**2 + 5*o**3 - 8. Let s be i(-6). Let c = 7 + s. Solve 2*w = c*d - 8, 0*d - w = -d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 + 1161748*g**3 - 3485226*g**2 - 8*g + 4646968 = 0 for g.\nAnswer: -1, 2, 580871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 13 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 3:43 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdididdddidiidid. What is prob of sequence id?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1073162*h**2 - 333392*h?\nAnswer: 2146324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0248 + 27.0248. Let k(m) = m**2 - 9. Let y be k(5). Let j be (-17)\/8 - (-2)\/y. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*v**3 + 222*v**3 - 11*v**4 + 8*v**3 - 8*v**4 - 8*v**3 + (-2*v - 2 + 2)*(v**3 + 0*v**3 + 0*v**3) as t*v**4 + u*v + d*v**2 + k*v**3 + q and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -187.06. Let w = -0.038 - 1.962. Which is the nearest to 1? (a) -0.1 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 332?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*l + 16888 = 131*l + 21492 + 24756 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.6 - -141. What is the second smallest value in t, -26, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(105)*1)\/sqrt(7) + sqrt(15))*4)\/(sqrt(6)\/sqrt(2)*-4*5))**2*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-24)*-4 - -13. What is the third derivative of -137*x**3 + 16*x**3 + 8*x**2 - 182*x**3 + 134*x**2 + y*x**2 wrt x?\nAnswer: -1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1124*w**4 - 4226*w**4 - 5*w**4 - 6515 - 1258*w**4 + w**3 wrt w?\nAnswer: -17460*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t - 5. Let p be q(-10). Find the third derivative of -3*u**2 - 3*u - 2*u + 5*u + 6*u**p wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.851 + -645?\nAnswer: -642.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/90 + 7*g**5\/3 + 203*g**4\/18 - 206*g**3\/3 - 36*g**2 - 19*g. Factor k(l).\nAnswer: 4*(l - 1)*(l + 3)*(l + 103)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/42 and 49\/2850?\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3\/3 - 5*a**2 + 16*a + 109. Calculate u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + t)*(-1 + 3 + 0) + (2 - 6 + 2)*(-3763*t + 4613*t + 9486*t).\nAnswer: -20670*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 0*h)*(-2*h + h + 2*h)*(4 - 1 - 6).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -v - 3*b, 46 = -4*v - 4*b - b. Let c(j) = -3*j + 9. What is the remainder when c(v) is divided by 4\/(-22) - 3200\/(-176)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28a623 (base 15) to base 12\nAnswer: 7a5743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -508 - -505. Calculate the smallest common multiple of 19 + 1 + -2 + (1 - i) and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r + 33. Let f be (-3)\/5 + r\/(-55). Suppose 4*d + 3*x + f = 18, 4*x = -d + 11. Solve 1 + d = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 1134 = 40*r. Let p be 10\/(8 - 3) + r\/2. Let y be p\/1224 + (-6)\/(-16). What is the second smallest value in y, 0.1, -1, -45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose 270 = 2*d - 0*x - 2*x, 560 = z*d + x. Suppose j - 340 - d = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**2 + 5*i + 7. Let h(o) = -7*o**2 - 5*o - 8. Let t(z) = 5*h(z) + 6*k(z). Let l(v) be the first derivative of t(v). Determine l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2*(-7)\/(-28)*-4)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2768?\nAnswer: 30448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u**2 - 3*u)*(-u**3 + 4 - 4) - 81*u**4 - 82*u - 5*u**5 + 180*u + 82*u**4.\nAnswer: -6*u**5 + u**4 + 98*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2504\/(-5634)*(-9)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 18*u**2 + 7*u - 35. Let q be c(19). Let k = q + 380. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6*r**2 - 7 + r**2 + 22 - 3.\nAnswer: -5*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = i + 1, -10*v + 3*i = -13*v - 12. What is the biggest value in v, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 - 166. Let r = 9 + -8.6. What is the smallest value in r, 5, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (928*2)\/(49 + -47). What is the highest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16612, -16880, -17284, -17788, -18356, -18952, -19540, -20084?\nAnswer: -20548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + -4 + -6*sqrt(2)*-1 - (sqrt(288) + -1)*-3)**2 - (5*(-1*sqrt(4)\/sqrt(2) + sqrt(2)) + (sqrt(20)\/(sqrt(80)\/(sqrt(16)\/sqrt(2))))**2).\nAnswer: -602*sqrt(2) + 3745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 33*q - 1 + 6.\nAnswer: -33*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**3 + 22*y + 563?\nAnswer: 3*y**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 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: Let b = 0.2 + -0.292. What is b rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 2*w**4 + 3*w**3.\nAnswer: -w**3*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 55*s + 38. Let k be (-1)\/2 + 22\/4. Put 4, k, s in ascending order.\nAnswer: s, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10*(56\/64)\/7)\/((-3)\/(-12)). Let q(i) be the first derivative of -5\/6*i**6 + 10*i**2 + 4*i**t - 5\/4*i**4 + 40*i + 32 - 50\/3*i**3. Factor q(j).\nAnswer: -5*(j - 2)**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15730020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 3, -399, -2, -17 in ascending order.\nAnswer: -399, -17, -13, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:16 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**2 + 2*y**2 + 4*y**2)*(-1 + 4 - 4)*(-4 + 4 - 1) to the form o + b*y + q*y**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 118 = w, w + 0*q - 97 = -5*q. Let y(a) = a**3 - a**2 - a + 1. Let h be y(3). Calculate the highest common factor of w and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (-4*-1*(0 + sqrt(425) - sqrt(425) - sqrt(425)))**2*-2)*-5.\nAnswer: 67992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626773569?\nAnswer: 3, 208924523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*u - 17, -2*y - 11 = -y + 4*u. Let f be ((-4)\/10)\/(y\/(-10)). Solve -3*j**5 + 2*j**f + 11*j**3 - 8 - 19*j + j**5 - j**3 + 3*j - 2*j**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5077 is divided by 154.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9900 is divided by 515?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -565 in decreasing order.\nAnswer: 6, 1, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -44. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8704744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -12)*7\/(210\/12). Suppose a*y = -38 + 22. Suppose -z - o + 8 = 2*z, -3*o = 5*z - 12. Sort y, 0, z in decreasing order.\nAnswer: z, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48.841 and 1.\nAnswer: -47.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = x + 27, 0*l + l = -2*x - 59. What is the common denominator of ((-27)\/(-30))\/(12\/(-26)) and x\/(-80) + (-49)\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 98. Let m = -108 - p. What is the fourth smallest value in m, -3, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6569664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14378?\nAnswer: 2, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1148238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**2 - 4*z - 4. Let y(r) = r**2 + r + 2. Let v be y(-2). Let x(j) = v*j**2 - 1 - j**2 + 2 + j. Let u = 17 + -19. Determine u*l(k) - 9*x(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014196 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: Divide 106 by -53.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 4 in decreasing order.\nAnswer: 7, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462840.3 years to millennia.\nAnswer: 462.8403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*w + 14*w - 11*w)*(-6 - 11 - 12) - w - 2*w + 0*w to h + o*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639487285?\nAnswer: 5, 927897457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose 4*s - u*s = 391. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.08 + 100. Let u = -3.48 - w. Sort -0.1, -4, u, 2\/5 in descending order.\nAnswer: 2\/5, -0.1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316000 is divided by 77408?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 79 = 2*p + 5*n, -3*p + 111 = 4*n. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5920 and 122048?\nAnswer: 22578880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2231 = -7*s - 2196 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llh when three letters picked without replacement from hhlhzzllzlxlhxzyll?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 442 + 13927. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 7*h**2 + 5*h + 1. Let x be w(7). Let k be (-2)\/8*-4 - -11. Let j = x - k. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374586 and 139946?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -51*i - 23. Determine v(3).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8162, 14217, 20272, 26327?\n\"Answer: 6055*v + 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f4 + -cdb?\nAnswer: -be7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*p + 84. What is the greatest common factor of 69 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 7 - 1. Solve 19 = -b - 3*z, -o*b + b = 5*z + 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1851049 + 0.0415\nAnswer: -1851048.9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.126 + 15.126. Let c = 0.04 + -3.04. What is the closest to 0.1 in 0.5, c, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 882.3 and 0.43.\nAnswer: 882.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/9 - 22*k**3\/9 + 22*k**2\/9 + 118*k\/9 + 8 = 0?\nAnswer: -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.564 - -7.564. Let x be 2\/(-5) + 9\/10. Which is the nearest to x? (a) 0.3 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*(-23)\/(-736) + (-55166)\/(-8)?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 25 = 5*w - 2*w, 3*g - 2*w + 30 = 0. Let k = -730 - -725. Which is the biggest value? (a) -2\/9 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 153*k**2 + 956*k - 317. What is h(159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*n*z - 87218*n - 249697472*z wrt n?\nAnswer: 9*z - 87218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 2437*q - 2442*q + 62, -2*a = -5*q - 34 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 80*l**5 + 65*l**4\/8 - l**3\/6 - 47*l**2 - l. Find the second derivative of d(m) wrt m.\nAnswer: 9600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 - (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0.27762483?\nAnswer: 3.27762483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-23)\/(d\/(d\/(d**(-2\/37)\/d))))\/(d**(-6)\/(d\/d**(-3\/17)*d*d*d)))**(-15\/2) assuming d is positive.\nAnswer: d**(111045\/1258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 26\/(-22)) + (-2)\/11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-238)\/(-35) - 994\/(-4270).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 2. Determine a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -63*y**2 + 118*y**2 - 54*y**2. Let t(z) = 13*z + 5. Calculate v(t(o)).\nAnswer: 169*o**2 + 130*o + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239770 is divided by 699.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**2 + 6*f**2 + 15*f**2 + 16*f**2.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 892506500 by 35700260.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 - 16*m - 1. Determine u(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(3\/(-3)*2). What is the tens digit of 33*((-5)\/3)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5553 is divided by 133.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**2. Let i = 68 - 35. Let a(k) = -i + k + 33. Determine v(a(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -35732?\nAnswer: 35725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15218 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: Rearrange -16 + 7 - 32*c + 0 + 3*c**2 + 9 to the form d + n*c + j*c**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(4 + 4 - 6). What is the greatest common divisor of a and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:29 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -11.7. Let q = 34 + -33. Is f equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 509.9265nm?\nAnswer: 0.5099265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 59052 - 118102 + 59049 + 47*b. Let c(q) = q**2 + 3*q + 3. Let p be c(-2). Calculate u(p).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = 8. Suppose 3*q - y*h - 28 = 87, 183 = 5*q - 4*h. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, -0.087, 0.3, -3, -35, 24.62, -0.2?\nAnswer: 24.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 7:07 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.4258nm in kilometers?\nAnswer: 0.0000000009834258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 293441 + -85?\nAnswer: 293367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -20616, -4 in decreasing order.\nAnswer: 3, -4, -5, -20616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1773*x = 1783*x - 15310. What is the smallest common multiple of 3 and x?\nAnswer: 4593","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2007917 and 316.\nAnswer: 634501772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39\/95 or -1?\nAnswer: -39\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + u + 147 + 1535, 0 = 2*q + 3*u - 834. Calculate the greatest common factor of 945 and q.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3025076664.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 6. Let c be r(-6). Let d(k) = c*k - 4*k + 5*k. Give d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.6 - -17. Let u = -1.7 - h. Let s = u + -5. Which is bigger: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -18*g**2 + 154*g. Let n(m) = -2*m**2. What is s(n(w))?\nAnswer: -72*w**4 - 308*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2096\/3, 0.3, 0.108, 0.1 in decreasing order.\nAnswer: 2096\/3, 20, 0.3, 0.108, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, s: 1, b: 8}. What is prob of sequence bb?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*t - 12 - 12 = 0, 5*p = -3*t + 30. Let q(w) = 1 - 5 + p. Let y(f) be the first derivative of 3*f**2\/2 - 18*f + 1517. What is 18*q(d) - y(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(4*r**3 - r**3 - r**3) + (2*r**3 + r**3 - r**3)*(-1 + 1 - 1).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30220211 (base 4) to base 2\nAnswer: -1100101000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 22*r + 8. Let f be b(22). What is the highest common divisor of f and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 1. Let j be g(2). Let s = j + 5. Solve a = 3*a + s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4883*c + 4866*c = 51 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(4 + 2 + -4). Sort -2, 85, o, 1\/4.\nAnswer: -2, 1\/4, o, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p - 2*l, 3*p + 0*l = -l - 1. Let m = p - -25. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + y**2)*(-143 + 143 + 6*y)*(-y + 4*y - 4*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3331 - 1676 - 9*x**2 - 1655.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 38 = t + t, g - t = -50. Let o = -41 - g. Let a = 4 - o. Is a > 1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17703, -35369, -53033, -70689, -88331, -105953?\n\"Answer: v**3 - 5*v**2 - 17658*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070 take away -3?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295911418 rounded to the nearest 10000?\nAnswer: 3295910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(2 - (-14)\/(-6)). What is the units digit of (-1 + h\/(-1))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -389*i. Let g(p) = -130*p. Determine g(k(y)).\nAnswer: 50570*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 3*t**2 - 3*t**2)*(-1587698 + 1587698 - 279*t**3) - 2*t**2 - 5*t - t**5 + 5*t.\nAnswer: 557*t**5 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5802 - -4?\nAnswer: 5806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from owqwqqoowqqw.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164383\/56126 + -1\/4009. Let b(n) = 9*n**3 + 3*n**2 + 5*n - 4. Let l be b(-5). Let o = l + 28029\/26. Find the common denominator of m and o.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128216 is divided by 3580.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3500002\/(-5) + 4\/10. What is v rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.65227ns in minutes?\nAnswer: 0.0000000026942045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2004025 and 20884050.\nAnswer: 396796950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9437 - 9454 - 18*r + 18908)*(-r - r + 3*r) as i*r**2 + s*r + h and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3771*t**2 - 2*t + t - 3772*t**2 + 122*t**3)*(-1 - t + 1) to u*t + x*t**4 + g*t**3 + f*t**2 + i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.9 - 40.5. Sort m, -0.1, -1\/3, 1\/8 in ascending order.\nAnswer: m, -1\/3, -0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 76 = -0*a. Suppose -37 = -4*h + a. Calculate the remainder when h is divided by (0 - 2) + 3 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. What is the least common multiple of ((-2)\/4)\/((-26)\/312) and 12 - (-1 + o - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4150 or 402675\/97?\nAnswer: 4150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-50)\/15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 2*m - k, 2*k - 108 = m - 2*m. Suppose -2*z = 3*z - 10, -2*g - z + m = 0. Let d = g - 44. Solve -3*t = d*j - 8, -3*t - j + 4 = 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.107 - -15.107. Let x = d - 16. Which is the nearest to -1? (a) 0 (b) x (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2154 + 2154.2. What is the second biggest value in 1, -45, t, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 12*a**2 + 124*a - 579. Calculate h(5).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1034?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5234*g + 5233*g + 16 = -3*s, -16 = -2*s - 2*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44073843603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437212411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2 + 5. Suppose -103 = -4*d + r*g - 2*g, 5*d - 4*g - 126 = 0. Solve 22 - 6 = 3*h + 5*s, -4*s = -2*h - d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4309150?\nAnswer: 2, 5, 86183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 46900 = o. Round o to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 473*h - 862*h - 6*h**3 + 386*h as r*h + y + s*h**3 + u*h**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 = 0, 28*y - 30*y = s + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 15 + 1. Find the third derivative of -c**4 + 16*c**o - 2*c**4 + 0*c**4 - 4*c**2 wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766677403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b18 (base 12) in base 15?\nAnswer: 307e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 44. Calculate the greatest common factor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 263.10537 to the nearest integer.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 1 = -a + 5*n, -n - 6 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6099155890 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233146 (base 9) to base 7.\nAnswer: -5464551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*s**2 + 1635*s - 37800.\nAnswer: 5*(s + 45)*(11*s - 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1449*o**3 - 7*o**2 + 5*o + 21. Let a(x) = -1447*x**3 + 8*x**2 - 6*x - 24. What is 7*a(m) + 8*g(m)?\nAnswer: 1463*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 335*k**2 + 685*k + 345.\nAnswer: -5*(k - 69)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1899319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/21*-7*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 47*y - 1855. Calculate k(39).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9197\/15 - 613. Which is the smallest value? (a) 2 (b) -1\/2 (c) g (d) -11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393336.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28365, -28366, -28367, -28368, -28369, -28370?\n\"Answer: -p - 28364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.0133181\nAnswer: 0.0532724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6 - 6\/(-2)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 77499 = 78689 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882*s**3 - 5778*s**3 + 2895*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2721 (c) 104\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.3 (b) -0.01 (c) -8\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + y + 37 = 0, -2*y - 1230 = 3*v - 1192 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 11451*y**2 - 1061865*y - 1050413.\nAnswer: (y - 11543)*(y + 1)*(y + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*a**4 - 2*a**3 + 47*a + 2.\nAnswer: 2292*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76213\/16 + -4757. Let l = 103491\/19856 + -399\/73. Find the common denominator of k and l.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 6*a**2 + 3*a - 4. Suppose -j = -7 - 28. Suppose 31 = 6*n - j. Suppose -19*y + 40 = -n*y. What is k(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/24 and (-4)\/(-42)*-2*(-33)\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13264 divided by 2?\nAnswer: -6632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15777 = -65*k - 17142 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 - 11*u**2 - 11*u wrt u?\nAnswer: 6*u - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 4:20 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 516. Let d(c) = -5*c + 516. What is -3*b(f) - 4*d(f)?\nAnswer: 5*f - 516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -537537.\nAnswer: -537536.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3353)\/(-2874))\/(4\/96)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300441 + 12?\nAnswer: 301003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114, 958, 3254, 7728, 15106, 26114, 41478, 61924?\n\"Answer: 121*w**3 - 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 8*k**2 + 5*k + 5. Let o(m) = m**3 + m + 1. Give i(f) - 5*o(f).\nAnswer: -3*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 260\/20 - 428*1974\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331130 (base 4) in base 16?\nAnswer: -f5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -8, 5, 72 in descending order.\nAnswer: 72, 5, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 9. Let i(j) = 2*j**2 + 14*j + 10. Let f be i(-6). Let a be o(f). Let s(m) = 2*m**2 + m. Let u be s(1). Put a, 7, u in decreasing order.\nAnswer: 7, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84538869 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 29*x = -3*b + 10743, 0 = b - x - 3573. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378.6 + 377.6. What is the third smallest value in -891, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6*r - 3. Suppose 0 = -3*w - x + 26, w + 22 = 2*w + r*x. Solve 4*u - w = 5*c, -3*c = -2*c + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94867 - 60895. Let o = -69372 + h. Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/10)\/u**(2\/17)*(u**(-17)\/u)**(15\/2) assuming u is positive.\nAnswer: u**(-22919\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 11 = -3*y. Let o = -2 - y. Solve 2*v - 3*l + 6 = 0, -4*v - 2*l = -o*l - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 - 86*d**2\/7 - 760*d\/7 - 256.\nAnswer: -2*(d + 4)*(d + 7)*(d + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173, 349, 527, 707, 889, 1073, 1259?\n\"Answer: v**2 + 173*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3629.936355 rounded to 0 dps?\nAnswer: -3630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 - 245*i + 166. Determine u(-41).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/139 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = -6. Suppose 0 = 5*a + k*h - 1525, -3*h = -a - 4*a + 1500. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*42\/(-5). Let f = i - 14. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 346 - 2909. Let r = -67257\/62 + z. What is the common denominator of 113\/12 and r?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -437046 (base 9) to base 15\nAnswer: -52519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-5))\/(3 + (-392)\/120). Let w = 94 + -193\/2. Which is the closest to 0.2? (a) 0 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (2 - -1)) + (-6 - (-23 + -10))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -361 - -367. Which is the closest to 1\/5? (a) 0.4 (b) n (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/5, -2\/7, 4, 2\/169 in decreasing order.\nAnswer: 4, 2\/169, -2\/7, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 28*b**2 - 4*b - 4. Let c be x(-1). Calculate the greatest common factor of c and 588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11838 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3044 + -2989. Suppose 0*m = 3*m - 294. Suppose -r - 2*s = 4*r - 100, 2*s + m = 4*r. What is the highest common divisor of r and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 - 608*g\/15 - 1208\/15.\nAnswer: -2*(g + 2)*(g + 302)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*l**5 - 4*l**2 - 3*l.\nAnswer: -2820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 624 - 0.3\nAnswer: 623.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 0 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose -3*t - a - 8 = 0, 4*t - a + 10 = 4. Let j = -1 - t. Solve -d*i = -i + j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(1\/4 + 1050\/(-1800)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274b (base 15) in base 16?\nAnswer: 337d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40027, 80066, 120103, 160138, 200171?\nAnswer: 240202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 135*o - 19. Let s be l(4). Suppose 4*y - 2*p = 582, -101 = 3*y + 4*p - s. Let u = 146 - y. Solve 3*r - 25 = -u*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7752 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3)*12\/16. Let t = s + 0. Factor 0*i**4 + 2*i**4 + i**3 + i**t.\nAnswer: 2*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-294)\/(-52) + -3 - ((-48)\/26 - -2). Factor 0 - 15\/4*p**2 + 5\/4*p**3 + o*p.\nAnswer: 5*p*(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 79 (b) -0.052 (c) -1\/8 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 78 = 2*h, 0 = 3*u - 6*h + 3*h - 147. Calculate the remainder when u is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -9*b + 96. Suppose 227 = 2*n - 5*j - 0*j, 2*n + 5*j - 257 = 0. Let p = n - 73. What is the highest common divisor of b and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from viiqjyqy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6654625.6 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 7*i - 10. Let h be x(8). Let a be h\/(-8) - 30\/(-8). Let w = -3 + 5. Solve -3*z - a = w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -185*w + 9. Suppose -4*k - 5*z = 6, z + z = -2*k - 4. Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(-14\/9)\/((n**(-4\/9)\/n)\/n*n*n*n**14*n*n) assuming n is positive.\nAnswer: n**(-406\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 5269 + c**2 - 5269)*(3 - 3 - 1)*(-1 + 2 + 2).\nAnswer: 9*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-40)*(-2)\/6*12\/603.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627420526 plus -1.5?\nAnswer: 627420524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 54*l**3 + 2*l - 1. Let z be q(1). Suppose 4*u - z = 153. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205281000 rounded to the nearest 1000000?\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4.3, 2, -2\/3 in descending order.\nAnswer: 4.3, 2, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37739.\nAnswer: 13, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 378*a + 4.\nAnswer: -378*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -47?\nAnswer: 65\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + -132. What is the closest to 1\/4 in 0.5, -6, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/4 + 1197*b**2 + 3*b\/4 - 1197 = 0. What is b?\nAnswer: -1, 1, 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, -824 in descending order.\nAnswer: -0.1, -5, -824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 92704142?\nAnswer: 92704141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -259.144171 to 1 dp.\nAnswer: -259.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 2550, 5595, 9846, 15297, 21942, 29775, 38790?\nAnswer: 48981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + sqrt(39)\/sqrt(3) + -1)**2) + sqrt(13) - (sqrt(208) - sqrt(13) - sqrt(13))*4) + 5 + sqrt(13) + -2 + sqrt(13) + -4 + 5.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/21)\/(o*o\/o**5)*o*o**0*o**(-5\/2) assuming o is positive.\nAnswer: o**(67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(225\/60) - (-12)\/(-10). Which is the closest to -7? (a) n (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7*z - 4 = 3*z, -5*f - 30 = -2*z. Let q be f - ((-74)\/12)\/(75\/50). What is the nearest to 0.1 in -0.4, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43364*i + 43397*i - 7525617. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424648, -424632, -424580, -424474, -424296, -424028, -423652?\nAnswer: -423150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 48 + 36 = 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 + 5*p**2 - 2*p + 5. Let x(z) = z**3 - 7*z**2 + 3. Let u be x(7). Let n(l) = 2*l**3 - 3*l**2 + l - 3. Calculate u*k(q) + 5*n(q).\nAnswer: q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 56815074 divided by -3\nAnswer: -18938358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + (-1)\/4. Suppose -227*n + 6422 = 111*n. Solve -3*o - n + 28 = q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 84. Let f = 20 + 8. Suppose -c + f = 5*p, p + 4*c = -l*p + 17. Let s(z) = z - 9. Give s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -21. Suppose -2*d = 4*k - 30, 9*k = 5*k + 2*d + 10. Calculate the lowest common multiple of k and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*v**2 - 7*v**2 + 7*v**6 + 11*v**2 wrt v.\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) -18\/35 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404 (base 5) to base 11.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 60680794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = 8. Let p = f - -46. What is the greatest common factor of p and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(684) - (sqrt(684) + -5 + (sqrt(684) + 1)**2) - (sqrt(684) + sqrt(684)*1*-2)) + (-5*(-2 + 1*sqrt(684)*2 + sqrt(684)))**2.\nAnswer: -1806*sqrt(19) + 153315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 4*y**2 + 4*y - 1. Let s(w) = 4*w - 1. Let h be s(1). Let z be t(h). Sort -5, -4, z in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - -9. What is the remainder when b is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46959234 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 9*j**2 + 9 - 4*j - 36.\nAnswer: 9*j**2 - 4*j - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562034968 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.98 + -4.98. Which is the closest to g? (a) 2\/5 (b) 1 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v - 3*a + a, 0 = -v - 5*a + 28. Suppose -v*j + 375 = -0*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 5*d**2 - d + 4. Let r be v(5). Let x be ((6\/3)\/2)\/r. Let g be 0 - (-2 + x) - 1. Solve 3*l - 4 = g*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*c + 10, -5*n - 3 + 1 = -c. Suppose -5*u = 25, 3*q - 3*u = 19 - 7. Let r = 1 + q. Sort r, 3, c in decreasing order.\nAnswer: 3, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120103211100 - -101?\nAnswer: 120103211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112 or 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*u = 155, 7*u - 2*u + 79 = -4*a. Let d = a + 38. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*k - 3*n + 50, -3*n = 5*k - 71. Solve k = p + 3*j, 4*j - 9*j = -p - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -50.31, 4, 1\/2, 4\/5, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = -l, -3*l - 3*d = -8*d - 4. Solve l*z - 3 = -9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 - 145. Suppose -2*i = 10*i + 72. What is the remainder when (-2 + -3 + 2)\/(i\/30) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.889 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**3 + u**2. Let p(x) = -29*x**3 + 3*x**2 + 3. Determine -3*n(a) - p(a).\nAnswer: 5*a**3 - 6*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1)*3 - (sqrt(17) - (sqrt(153) + 1)**2) - (2 + -3*sqrt(17) - sqrt(170)\/sqrt(360)).\nAnswer: 67*sqrt(17)\/6 + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 153, 392, 779, 1344, 2117?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 + 56340?\nAnswer: 56339.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/5533360 and -117\/74228.\nAnswer: 60866960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuufuufufjfffdfu. What is prob of sequence fdju?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5500\/3 + 362911\/198. Calculate the common denominator of q and -173\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 9*n**2 - 9*n - 5. Let j be q(-8). Let i = j - 3. Suppose -16 = -4*h - i*h. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j**3 + 827*j**2 - 8*j + 3. Let h(l) = 6*l**3 - 415*l**2 + 4*l - 2. Determine -7*h(v) - 4*i(v).\nAnswer: 2*v**3 - 403*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 146.3. Let o = f - 15.3. Which is the nearest to -0.1? (a) 0 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.97418ug to grams.\nAnswer: 0.00007897418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 4*f - 8 - f**3 - 4*f**3 - 5*f**2 + 3*f**3. Let i be u(-6). Suppose -i*q + 13 = 5. Solve -h = q*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 40 = 0. Let b = -1232 - -1241. Calculate the lowest common multiple of a and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*t**3 + 12*t**2 - 111*t wrt t?\nAnswer: 114*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-438)\/730)\/(6\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -83764*0.033\nAnswer: -2764.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.3. Let k = 37.84 + -32.84. Which is the second biggest value? (a) l (b) k (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - 4\/3. Calculate the remainder when 77 + 0 + b\/2 is divided by 26 - (-1 - (-1 + 0)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 6. Let c be n(6). Suppose c = 2*r + 5*z - 431, -3*r - 889 = -7*r - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80293296 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 26*p - 70. What is the remainder when t(-30) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 14\/3*f**3 + 113\/24*f**4 + 0 + 0*f - 6*f**2. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or -0.2049673?\nAnswer: -0.2049673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*k**3 + 3*k**2*o - 26*k*o - 2*k - o wrt k.\nAnswer: -294*k + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32666846 is divided by 458?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 2885753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/5 + 4888*v**3 - 48872*v**2\/5.\nAnswer: -2*v**2*(v - 12218)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -46*a + 2. Let j(c) = 22*c. What is f(j(k))?\nAnswer: -1012*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9305 rounded to two decimal places?\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*w**6 + 2*w**6 + 24*w**2 - 23*w**2 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 635 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -750 + -5?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h**2 - 2470*h. Let u(g) = -g**3 + 5*g**2 + 2*g. Give m(j) - 2*u(j).\nAnswer: 2*j**3 + 3*j**2 - 2474*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*k**4 + 2*k + 3*k**2 - 2*k**4 + 12*k**4 - k**4 + k**4 - k**4 + (2 - 2 + 3*k)*(369*k**2 - 369*k**2 - 27*k**3).\nAnswer: -83*k**4 + 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 1, w: 2, q: 2, d: 1, x: 1}. What is prob of picking 2 q, 1 e, and 1 w?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (47\/20)\/(6\/(-15)) - -5 and 0 + 2\/8 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let a be h(-3). Suppose a*c = -3*c + 415. Let i = -30 + c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.8 + -41.8. Let b = j - -31. What is the third smallest value in b, 4, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295 + 305 + 5*i**3 - 600.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 133, 8, 94 in decreasing order.\nAnswer: 133, 94, 8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3252\/(-21)*(-6 + 25\/10). What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let a be 6 + -12 - 198\/(-2). Let k(f) = a*f - 179*f + 93*f. What is z(k(n))?\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 22430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-22)\/(99\/9))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113833 by 1.\nAnswer: -113833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 31*v + 22*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6990 - 6980. Calculate the remainder when 2 + 5\/((-10)\/(-48)) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94735527 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -1, -1\/11, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 23*u - 23. Let y be a(10). Let f be ((-21)\/9)\/(1\/(-3)). Let d(g) = -107 + f*g + y. Let w(j) = -2*j. What is d(w(x))?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-22)\/20*-4. Let s be (-2 + -2)\/(-1) + o + -2. Let b be ((-9)\/s + 1)\/((-1)\/44). Solve 2*x = 5*a + b, -2*a + 2 = x + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.131+-52730.63\nAnswer: -52727.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - w + 3)*(-11*w - 32*w**2 + 11*w)*(-w**2 + 1 - 1 + (0 + 2*w + 0)*(-24*w - 23*w + 28*w)).\nAnswer: -1248*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 - 2*d**2)*(0*d**3 + 6*d**3 - 4*d**3) + (-6*d**2 - 420*d + 420*d)*(3*d**3 + 3*d**3 - 4*d**3).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51\/394 or 0?\nAnswer: 51\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:30 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-7))\/(20\/70). Which is greater: a or 37\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45618253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455370 is divided by 2502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9584968 - 1387882 - 2548947 = -31*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57112 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, u: 1}. What is prob of picking 4 r?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let i(p) = -5*p**2 - 53*p + 14. Let k(d) = -i(d) + 5*r(d). Let c be k(-9). Suppose -t + 12 = -5*t. Put t, c, 5, -5 in decreasing order.\nAnswer: 5, c, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/44 - (-2)\/(-11). Suppose -4*w + 1 = 3*s + 5, 2*w + 5*s + 16 = p. Let i = -22 - -26. Solve 2*x + i*v - 8 = -0*v, w*v - 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 505647 or 2528238\/5?\nAnswer: 505647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8179930 is divided by 545?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 8. Let y be 2 - -1 - (0 - 4). Let c be r(y). Let m(b) = b**3 - 6*b**2 + 3. Let q be m(c). Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4900.927ml to litres.\nAnswer: 4.900927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a12c2 (base 14) to base 9.\nAnswer: -3678684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 48 = 4*d, -2*d + 37 - 9 = -3*h. Is d smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10471 divided by 283?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - -6.6. What is k rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Let v = 13 - d. Solve -z + 4*z = v, -5*z + 13 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Let l be (-4)\/(-28) + 29\/(-7). Which is the closest to 0.1? (a) l (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-5*-6*(sqrt(2) - sqrt(4)\/sqrt(2)))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpppipidpddpdpdpidp. Give prob of sequence iipi.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 17*d + 3*n = -5*d - 33, -3*d = 4*n - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2)\/sqrt(11) + sqrt(114)\/(sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(6)*2))) - 1*((sqrt(171) - (-1 + sqrt(171) - sqrt(171))**2) + -2))*6 + -1.\nAnswer: -28*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72169?\nAnswer: 72169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11746 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 25*d - 5. Let h(l) = -26*l + 6. Let b(m) = 2*h(m) + 3*z(m). Suppose -2*p = -9*p - 119. Let a(r) = 8*r - 1. Give p*a(w) + 6*b(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 13. Let y(j) = 2*j. What is x(y(w))?\nAnswer: -4*w - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*k + 1311*k + 17316 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**49\/(z**2)**(5\/7) assuming z is positive.\nAnswer: z**(596\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78054391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-12) - 11\/(-12). Let v = -5.7 + 6. Let d = v - 0.6. Which is the closest to 0.1? (a) x (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 2489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:02 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a4176 + 674?\nAnswer: 1a483a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/34, -3, -1\/5, 5 in ascending order.\nAnswer: -3, -1\/5, -0.1, -3\/34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-45) + (-203)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2 - (12 + -9). Suppose p = -0*z - 5*z + 55. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8748 is divided by 4369.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 979 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/460 and -61\/12.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**2 - 218*j + 446. Let q(f) = -18*f**2 - 435*f + 887. Let o(y) = 5*l(y) - 2*q(y). Solve o(m) = 0 for m.\nAnswer: -57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 15) to base 3.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 2*v**2 + 0*v**3 - 3*v**3 - v - 2. Suppose 6*j - 15 + 3 = 0. Let h(i) = -4*i**3 - 3*i**2 + 3*i - 3. Determine j*h(y) - 3*z(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1093 and 1093 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - u - 11, 2*q + 2*u = -7 + 3. Let p be (0 - 12 - 0) + 1 - -24. Solve -q*y + p*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 - 7*v**2 - 15*v - 26. Let n be l(-2). Sort 1, -6, n, 25 in descending order.\nAnswer: 25, 1, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -223\/8411130 and -223\/33180?\nAnswer: 16822260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*1 - (-3 - -3). Let s = g - -7. Let i = -3 + s. Put 3, i, 1 in increasing order.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12181 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25060\/42 + 483\/21. Which is the fourth biggest value? (a) -4 (b) 0.4 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 183375 or -1?\nAnswer: 183375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-6))\/(10\/(-15)). What is the third derivative of -5*v**6 - v**4 + 4*v**3 - d*v**3 - 1 - 9*v**2 + 2*v**2 wrt v?\nAnswer: -600*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 + 4*h - 7. Let g(i) = -2*i**2 - 20*i + 16. Let k be g(-11). Let z be m(k). Solve 4*x + 5*c = 4*c - 7, 0 = -2*x + c - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -46338*j - 42. Let f be m(-9). Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 2, w: 11, f: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.0832 - 0.0168. Let d = f - -22. Which is the closest to 0? (a) -4 (b) -6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 243.\nAnswer: 5\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 7*j**2 + 3*j. Calculate v(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 8*b + 2 - 20 + 6 in the form p*b + c and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 23 = -2*s. Let l = -27 + s. Suppose -35 = -4*w + c - 0*c, -3*c = 5*w - 31. Solve -13 = 2*p + 3*u, 0 = 3*p - w*p - 3*u - l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 25, 143, 381, 781, 1385, 2235?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -10, -37, -64, -91, -118?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2aaa (base 16) to base 7.\nAnswer: -43562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2196425 and 875?\nAnswer: 10982125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1203.4 - -230.6. Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -9. Find the second derivative of -4*w**5 + 4*w + z*w**5 - 5*w wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 95*l**2 - 272*l - 347. Calculate the smallest common multiple of w(92) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -96, -7\/6, -2, 3?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, k: 4, g: 5, n: 5, j: 1}. What is prob of sequence ng?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/(6\/(-18))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c + 48. Let v = 40 - 34. Let b be g(v). Suppose -t - t = -b*t. Solve u + 4 - 1 = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 3 - 3)*(-5 + 4 + 4)*(36*m - 48*m - 109*m) as v + l*m**2 + z*m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Let g(w) = w**2 - 5*w + 3. Let r be g(5). Let k = -8.9 + 7.9. Which is the nearest to -2\/7? (a) o (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 149*k**4\/6 + 455*k**2\/2 - 456*k. Differentiate m(t) with respect to t.\nAnswer: 596*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96.73 + -91.73. Sort -1\/7, k, -91 in decreasing order.\nAnswer: k, -1\/7, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*y + 177*y + 674 - 2449 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 9*q**2 + 15*q + 38. Does 119 divide a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 9*v + 3*a, -2*a + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-192 - -249) + -68 + -4 + 6 + -1 + -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -310*o**7\/7 + 7*o**3\/3 - 31*o**2\/2 + 93. What is the third derivative of y(c) wrt c?\nAnswer: -37200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose u*p - 4*p = -16. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**2 + 22*v**2 + 70*v**2 - 24*v**2 + v**5 - 62*v**4 - 2*v**5 wrt v?\nAnswer: -60*v**2 - 1488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3 + 2*m + 0*m + (0 - 2 + 3)*(4 - 4 + 2*m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -10, -5, -82 in ascending order.\nAnswer: -82, -24, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56281 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/7 (c) 0.07 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -45 - 53 - y - 50 + 156. What is t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 + 202328*k - 2 + 2 - 202329*k.\nAnswer: 16*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9501 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a - 4 + 4. Let v(s) be the third derivative of 0 + 0*s**4 + a*s + 1\/6*s**3 - 1\/12*s**5 - 4*s**2. Differentiate v(l) wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 1314877.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383 - -380. What is the nearest to -1 in 2, r, -3\/8, -2\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rqrrkkkkmkkmkmkrrk.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7550 and 3950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -695285550*u - 339508499?\nAnswer: -695285550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 4)*1*-3. What is the tens digit of 32 + -5*k\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 6*j - 2*j**3 - j - 5*j**2. Is l(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + r**3 + 4*r**4 + 5*r**2 + r**4 + r - 3*r**4 to the form p*r + x*r**2 + k + n*r**4 + o*r**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14289331.77s to weeks.\nAnswer: 23.626540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:02 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-7 - (4 - 26) - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501474195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 11694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146 or -147?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1\/4, -2, 0, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(234)*-2)\/(-2*-3*(sqrt(2) - sqrt(2)*-2)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 11*k**7\/14 + 3*k**5\/10 - 77*k**3\/6 + k**2\/2 + 17*k - 8. What is the second derivative of m(o) wrt o?\nAnswer: 660*o**3 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 31195880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12561 and 82\/795.\nAnswer: 62805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.0423 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**3 + 4*c - 20*c**3 - 4*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36929 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99a8 (base 12) to base 3\nAnswer: -212021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51311 and 5343.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0998 - -0.0058. Let w = -0.006 + t. Does w = -2\/409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38069133 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/7))**(-40)*(o\/o**(-2\/7))**(-50) assuming o is positive.\nAnswer: o**(-650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 3 - 1 - l**2 - 5*l - l**3. Let z(k) = -k**3 - 2*k**2 + 3*k - 3. Let x be z(-3). Is f(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*a)*(3 + 2 - 2 + (-2 + 2 - 1)*(2 - 3 + 0) + 0 - 10 - 1) to k + o*a and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 152017469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*12\/(-3). Let y be 2\/r + 134\/8. Suppose -13 - y = -5*v. What is the remainder when 21 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 4, -24, 2 in decreasing order.\nAnswer: 4, 2, -4, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4223*u = -4341*u + 1770 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*q - a = -336*q + 2*a + 169, 0 = 8*q - 3*a - 121 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 3. Suppose 0 = -5*a + 2*h - 22, h - 12 = 4*a + 5*h. Let c be f(a). What is the highest common divisor of c and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l + 1. Let j(y) = 4*y**3 + y**2 - y. Let k be j(1). Let q be t(k). Suppose 5*i - 15 - 40 = 0. Solve -i - q = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 27236 = 9*y. What are the prime factors of y?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*k + 324*k - 11490 = 420*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.57 and -44904350.21065.\nAnswer: -44904347.64065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9343434?\nAnswer: 2, 3, 1557239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4) - 0)*0. Suppose z = -5*n + 30 + 135. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 257 = -5*h. Suppose -2*s - h + 338 = 0. Let i = -72 + s. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 25*n - 65. Let c be x(-27). Let w = c + 11. Solve w = p - 0 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqiqqqqffffc. What is prob of picking 3 q and 1 f?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 336\/96*192\/(-420)*-20*1\/(-18)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1837 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991.739 tonnes in kilograms?\nAnswer: 4991739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 226 = 136 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2 + j**3 + 101 - 3*j**2 + 104 + j**4 - 205 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8992.692 micrograms?\nAnswer: 8992692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35588 is divided by 35514.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (21\/3)\/7*(-8)\/32\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d + 1. Let j(m) = 21*m**3 + 3*m**2 + 3*m - 3. Calculate j(v) + 3*y(v).\nAnswer: 18*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + s**2 - s**2 + 3*s**2. Let y(h) = -3*h**2 - 2*h**2 + 3*h**2. What is r(y(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3771 = -1202*v + 168*v + 669 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 152 - 44 = 0. Is 30 a factor of o\/84 - (-417)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3522467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/5 + 1414*z**3\/5 + 96354*z**2\/5 + 279194*z\/5 + 184252\/5 = 0. Calculate z.\nAnswer: -631, -73, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.252? (a) 1 (b) 0.008 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60.734 and -79274.\nAnswer: -79213.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5633385?\nAnswer: 3, 5, 375559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/4 + 5259*p**2\/4 - 73837*p\/4 - 79095\/4 = 0.\nAnswer: -5273, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2981*k + 143076. Calculate a(48).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 20*u**2 + 21*u - 59. What is j(19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -34034, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226 + -1551?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 17*v + 20. Let w(b) = b**2 + 9*b + 10. Let x(z) = 2*l(z) - 5*w(z). Is 9 a factor of x(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 266*o**2. Let d(q) = -4*q**2 - 8*q. Determine d(r(g)).\nAnswer: -283024*g**4 - 2128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 215296 (base 12) to base 9\nAnswer: 883456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 48. Calculate the least common multiple of z and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433184 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppsppspsspppssspssp. Give prob of sequence ssss.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6488 or 6496?\nAnswer: 6488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282087782, -282087786, -282087792, -282087800, -282087810?\nAnswer: -282087822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11) - -2*sqrt(66)\/sqrt(6)))**2 - (-2 + -2 + sqrt(11) - (4 + (sqrt(33)\/sqrt(3) - sqrt(11)))).\nAnswer: -sqrt(11) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 10:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 0*i + (6612 - 6612 - 90*i)*(1 - 1 - 2))*(3 - 1 + 1)*(2*i**4 - 4*i**4 + 4*i**4) - 2 - i**5 + 2.\nAnswer: 1061*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2 = k + n, k + 5*n + 6 = 0. Find the third derivative of 10*h**2 + 7*h**k - 2*h**2 - h**4 wrt h.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6063 + 2609 = 0. Suppose -z - 1116 = -w, -w - 5*z + 1156 = 22. Let b = x - w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38013 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -9, -150 in decreasing order.\nAnswer: 4, 2, -9, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -1.6. Which is the closest to -0.1? (a) m (b) 3\/7 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6973927 and 4.\nAnswer: 6973931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -131, -91?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*t + 2 = -2, 3*i + 11 = 5*t. Let u be 1 + 0 + -194 + i. Is u\/(-20) + 2\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2)\/d)**(-2\/99)*d**10\/(d\/(d\/(d*d**(-8)))) assuming d is positive.\nAnswer: d**(1687\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 8*w - 4. Let i be z(-9). Suppose -i*l + 313 = 2*n + 39, 548 = 4*n - l. What are the prime factors of n?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 271. Let f(z) = 5*z + 1358. Give 2*f(u) + 11*m(u).\nAnswer: -u - 265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -7, 0, -45 in decreasing order.\nAnswer: 5, 2, 0, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-9)\/50)\/3)\/((-18)\/105). Let o = -3\/5 + s. Which is the fourth biggest value? (a) -0.5 (b) -4 (c) 3\/4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*f + 272*f - 143*f - 2 + 0 + 297*f to the form g*f + z and give g.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13315, -26628, -39941?\n\"Answer: -13313*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48181, 94679, 141183, 187693?\nAnswer: 234209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 606*p + 91809.\nAnswer: (p - 303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 39*v + 244. Does 22 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + 21. Suppose 0 = 4*a - 5*a + 4*s + 8, 4*a + s - o = 0. Suppose 0 = -j - j - a*c + 2, 5*j = -2*c + 5. Put -4, -5, j in increasing order.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3431 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131574 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**3 - 6*y**2 - 8*y - 8. Suppose 0 = -2*f - 12*f + 1162 - 1078. Let t(x) = x**3 + x**2 + x + 1. Give f*t(l) + r(l).\nAnswer: 13*l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10131133, -10131132, -10131131?\n\"Answer: l - 10131134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -3973d?\nAnswer: 39735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/328 and 97\/56256?\nAnswer: 2306496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = u + 5*v, 2*u - u = -v + 347. Suppose -4*n = -0*n + 4*r - u, 0 = r + 5. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(252)*4 - (-2 + sqrt(252) + -1)) + 2)*3)**2.\nAnswer: -7020*sqrt(7) + 383517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 4004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(252)*1)\/sqrt(9) + (sqrt(140)\/sqrt(20) + sqrt(28) - sqrt(28)))\/(sqrt(144)\/sqrt(64)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 3*h - 1. Let f be r(-2). Let l(q) = -8*q + f*q - 4*q. Let a(u) = -9*u**2. Calculate l(a(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. Let s = -3.12 - r. Let f = s - -0.12. What is the closest to f in 0, -5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**2 - 42*l + 43. Suppose -3*r = -4*q - 15, 7*r - 3*r - 3*q = 13. Let c be h(r). What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3 + 124*y**2 = 0.\nAnswer: 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -4, 2, -5 in descending order.\nAnswer: 2, 1.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 4\/9, 0, -20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 - -4. Suppose 209*k - 212*k = -6. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**3 - 6*z**2 + 16*z - 15. Let i(c) = -8*c**3 - 5*c**2 + 17*c - 13. Give -7*i(b) + 6*u(b).\nAnswer: 2*b**3 - b**2 - 23*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 45*l**2 - 185*l - 24. Let x be f(17). Solve x*g - 64 + 54 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864726 is divided by 538.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 20*s**2 - 42*s + 4. What is f(-12)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3724859*f**3*i**2*m**2 + 21*f**3*i - 3*f*i**2*m**2 - 26*f*i**2 - 6*f*m + 6*i*m + 176*i wrt m.\nAnswer: -7449718*f**3*i**2 - 6*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 0.4, 2, 2\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 67022.\nAnswer: 1139374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378739?\nAnswer: 409, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x**3 - 8*x + 15. Let f(o) = -5*o**3 + 3*o - 5. Suppose 3*l + 375 - 399 = 0. Determine l*f(w) + 3*g(w).\nAnswer: 2*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 116*i + 1626. Let j be y(-14). Suppose -2*c = c, c + 3 = -3*r. Let s(d) = -d + 1. Let z be s(r). Solve -6*l = 5*v - j*l + 14, v = z*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -42. Let x(o) = 21*o - 4. Is 14 a factor of x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-2)\/3. Let d(f) = -f**2 + 11*f - 25. Let p be d(6). Solve -i + p = -k, 4*i - k + 2*k - 20 = r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 5. Let p(j) be the third derivative of 0 - 11\/6*j**3 + 0*j + 3*j**2 - 1\/6*j**4. Let z be (12\/(-10))\/((-1)\/(-5)). Give z*p(g) + 13*k(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 - -358. Is 12 a factor of 4\/(-2 - (-256)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:36 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 59*v**2 - 6*v + 18. List the prime factors of w(3).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 237306241 from 4.\nAnswer: -237306237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164923 is divided by 104?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.3 - -145. Let o = 525.2 + -526. Sort o, 1\/11, n in increasing order.\nAnswer: o, n, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 - x - 9. Let y be ((-2)\/(-1))\/((-1)\/(-2)). Let f = y + 3. Is t(f) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, g: 4, v: 5}. What is prob of picking 1 q and 2 v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*b)**(8\/15)*(b**4)**(-1\/25) assuming b is positive.\nAnswer: b**(92\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3512 divided by -983.\nAnswer: -3512\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*d + 1115, -5*g + 3*d = -10*g + 5593. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 104*x**2 + 8*x + 7. Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 5*n**2 + 2*n + 6. Let p be h(-5). Let o be p\/(-16) - (-3)\/12. Which is the smallest value? (a) 0 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 8*x**2 + 9*x**2 + 5*x**2 + 7*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14279*i*n**3 + 2*i*n - 4*n**3 + 493*n wrt i?\nAnswer: 14279*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 1 - 16 - 5 to c*t + k and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 445, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 8*a**2 - 9*a - 4. What is o(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -345177 rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/4 + 250007*n - 168976171\/4 = 0. Calculate n.\nAnswer: 169, 999859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 - 1195*m + 19043. Give b(-254).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 208256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28 - 0.281. Let d = -2 + 2.022. Let u = c + d. Round u to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*(1 + 5\/(-10)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27*k + 11. Let r(v) be the third derivative of v**4\/24 - v**3\/6 - v**2 + v - 441. Determine 22*r(l) + 2*y(l).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/49)*t\/(t**(-10\/3)*t)*t*t*t\/(t**(-5\/4)\/t)*t\/(t*((t**1\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(6199\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/50 - 277\/(-2). Let d = 263 - c. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688189396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + i**3 - 2*i**3 + (3*i - 3*i + 2*i**3)*(-1 - 2 - 1))*(-3*i + 7*i + 5*i).\nAnswer: -63*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2, -2, -1\/2, -9\/55?\nAnswer: -9\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((22*u + 4 - 4)*(0 + 3 - 2) + (7 - 2 + 2)*(-u - u - 4*u))*(-2*u**3 + 2*u**3 + u**3).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*h**3 - 7*h - 2 wrt h?\nAnswer: -18*h**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = 5*z. Let g be (1\/z)\/(1\/(-8))*3. Calculate the highest common factor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 + -306. Let w be 380\/b*(-14)\/(-124). Let i = w - -12\/31. What is the second biggest value in 3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*q - 200 + 266, 14*q = -3*g - 193 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199099.43s in days?\nAnswer: 13.878465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -84 + 20 + (1 - -1 - 66)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from yyqdy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3732943 is divided by 724.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 55 + 4)*(-24 - 24 - 6)*(4*j + 0*j - 2*j) in the form p + s*j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-10))\/(8\/40). Suppose 0 = -k*o + 2*o. Which is the nearest to o? (a) -1\/4 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) - (-11)\/4. Suppose -g*i + 6*i = 6. Solve 0*x + 3*a - 13 = 2*x, 0 = i*a - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 + 2*z - 3. Let x = -2 + 3. Suppose x = 2*l + 7. Let k(d) = -2*d**3 + 4*d**2 - 4*d + 5. Calculate l*k(i) - 5*r(i).\nAnswer: i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) 6\/5 (c) 2\/18189 (d) 10 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 40. Let r be (-262)\/v + 8\/28. Let y be 0 - -8 - 3 - 12\/3. Solve 5*k - 2*f + r = 0, 4*k + 5*f - y = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2164206720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 44791*g**2 - 4*g**3 - 44814*g**2 - 44810*g**2 + 134369*g**2 - 3*g.\nAnswer: -4*g**3 - 46*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 1. Let c(m) = -4*m - 1. Let w(n) = 5*c(n) + 3*u(n). Let i(s) = s**3 + 13*s**2 + 12*s - 2. Let z be i(-12). What is w(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 8*j + 2. Let d be c(-8). Suppose 0 = -d*h - h - 51. Let y = h - -38. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 162217806 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u. Let j be h(-1). Let n be (-1)\/5 - ((-305)\/25 + 1). Calculate the greatest common divisor of n and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*o - 2*o - 16, o - 22 = -3*q. Suppose 2*p + 2*p = -4. Let u = p + 3. What is the smallest common multiple of u and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129238470?\nAnswer: 2, 3, 5, 73, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from lllllllllllllllpllll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 3*p + 152 - 70 + (-2*p + 3*p - 3*p)*(-1 - 1 + 1) + 7*p + 15 - 15 - 2*p + 3 - 3 to the form i + w*p and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -21, 4, 1, 2, -18 in ascending order.\nAnswer: -21, -18, -17, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 20*m**2 - 154316*m + 431928 = 0.\nAnswer: 14\/5, 7713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + 28\/7. Sort l, -2, -4, 3 in ascending order.\nAnswer: -4, -2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429 by 5.\nAnswer: 429\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 1 - 1 + x - 6*x + 2*x - 2 - 3*x + 2 + 6*x - 5*x + 0*x + (4 - 4 + 2*x)*(0 + 2 - 4))*(-2 + 5 - 2).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*j - 12534 - 5078 = 0 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p + 4*p - 19*p + 56 + 23*p. Calculate the remainder when b(3) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 1074 = 11*q - 2*x, -5*x = 2*q - 2149. Calculate the greatest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 19. Let w be (z\/9)\/(5\/75). Suppose c = -o + 2*o, -10 = w*c. Put -4, o, 0 in ascending order.\nAnswer: -4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.87 millennia to centuries.\nAnswer: 8038.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -59, -92, -125, -158, -191?\n\"Answer: -33*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276474 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 15\/2, 0.5, -14015 in decreasing order.\nAnswer: 15\/2, 6, 0.5, -14015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/20 - 43\/(-5). What is the highest common divisor of q and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f**3 - 3242*f**2 - 22158*f - 2422 = 0. What is f?\nAnswer: -173, -7, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341*r**2 + 334*r.\nAnswer: 682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 1. Let c be o(-5). Let q = c + 11. Solve -q*v = 3*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -66*v**2 - 247*v - 147. What are the prime factors of n(-7)?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*f + h + 34 - 73, -5*f = 14*h + 58 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395.\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*a - 55*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-9315)\/(-1380)*((-4)\/3)\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21617*f*j**4 - 157*f*j**3 + 127*f*j**2 - 2*f + j**2 + 76*j - 14 wrt j.\nAnswer: 518808*f*j - 942*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 155392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.054 + -3.054. Which is the smallest value? (a) -0.11 (b) m (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*j - 4*g, -j - 4*g + 35 = -0*g. Suppose h - 10 = -5*f + 10, -3*f + j = 0. Put -7, 2, h in descending order.\nAnswer: 2, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(12\/(-27)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12\/v**11 assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 0.01\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40243 at most as big as 40245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2496833\/203 or 12299?\nAnswer: 12299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 7*x = -21 - 51. Solve -10*t + 6 - x = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -1 - (5 - 0). Let p be 1 - 1 - (t - -4). Suppose -3*b - p*b = 0. Is 2 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:45 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2507831 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-8 + 2) - (-1 - 1) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/15)*y)\/y**(-3\/14))\/(y**(-2\/3))**(13\/4) assuming y is positive.\nAnswer: y**(551\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, k: 2, b: 7}. What is prob of picking 3 c?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1046?\nAnswer: 313.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*z + 9, -203*n - z = -201*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, 780, -5, 97 in decreasing order.\nAnswer: 780, 97, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (90 - 19) - 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 2*m + 30. Let o(u) = -u**3 - 6*u**2 + 4. Let g be o(m). List the prime factors of 430\/g + (-6)\/4.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122341*c**3 + 6054.\nAnswer: 367023*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -4. Let u = -16 - p. Is 18\/(-8)*16\/u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 6. Let y be (a\/8)\/((-9)\/(-30)). Let w(c) = -c**2 + 6*c + 1. Determine w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 33*q - 8. Let b be z(37). Find the third derivative of -68*u**4 - 95*u - 27*u - b*u**4 + 3*u**2 - 4*u**2 wrt u.\nAnswer: -4992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:21 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1 - 22*r**2 - r**3 - 3 + 21*r**2 + 0*r**3 - r. Determine d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + p - 363*p**4 + 183*p**4 + 6*p**3 - 5*p**3 + 3*p**3 + 186*p**4 to d*p + t*p**4 + h + z*p**2 + x*p**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*x - 0*x - 150, 4*x = -5*a + 384. Let m be a\/8 + (-2)\/(-4). Solve 0 = -5*s - m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -3\/8 (c) 94 (d) 0.053 (e) -1.2 (f) -4 (g) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 - 110*x + 50. Calculate t(-38).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 - ((31 - (27 + 23)) + (2 - (-7 + -1)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 37*h - 125 + 0*h**2 + 124\/3*h**3. Differentiate g(a) wrt a.\nAnswer: 248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(-26)*1 + 97545\/12077?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*p**3*r**3 + 55728*p**3*r**2 + 29*p**2*r**3 + 3*p**2 - 4*p*r - 14*p + 22*r wrt p?\nAnswer: 108*r**3 + 334368*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 39*k + 16. Let z be ((-21)\/63)\/(k\/54). Solve 0 = -6*g + z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 310519377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4258, 17865, 40830, 73153, 114834, 165873, 226270?\nAnswer: 296025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:53 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**6 + 2*j**2 - 6*j**2 - 4*j**6 + 18*j**6 wrt j?\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4940770 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.028 - -0.972. What is the closest to -1\/2 in l, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + 9*u**2 - 9*u - 13. Let d(p) = -p**3 + 2*p**2 - 2*p - 3. Let b be -32*2\/12*-6. Let m be -1 + 12\/16 - 280\/b. Give m*d(n) + 2*j(n).\nAnswer: -n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1479 and 816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12)*1*(-3)\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 131)*4\/(-3). Let a(b) = -13*b - 238. Let z be a(-20). What is the greatest common factor of z and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 679537 divided by -6\nAnswer: -679537\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, 3952, -2, 1, -3 in descending order.\nAnswer: 3952, 4, 1, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 16. Let x = 0.3 + -0.5. Let p = -0.2 + -0.1. What is the nearest to i in 1\/10, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:27 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213935252*f**3 - 168950359?\nAnswer: 641805756*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 831 + 3147 = 4*r, 3*r - 4*o - 1747 = 0. What is the highest common divisor of 372 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 59*a**2 + 7*a + 378. What is y(-59)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = 8. Let o(v) = -v**2 - 8*v. Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 11*t + 46*t + 79*t as c*t + y and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 13*o + 3. Suppose -68*j + 111 = -74*j + 43*j. Let l(w) = -2*w**2 + 13*w + 2. What is j*l(h) - 2*a(h)?\nAnswer: -2*h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 689198.749 to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 1 + 1 + 3*g**2 - 4*g**2 - 7*g**3 to the form u*g + f*g**2 + y + h*g**3 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 23.7. Let q = a - -5.5. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t - 70 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 52*c - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137679866*o - 222047671?\nAnswer: 137679866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 286 - 90 = 0. Solve 18 = -j*r + 13*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 2, t: 3}. What is prob of sequence ddp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7 + 2 + 19*u - 7 - 3. Calculate a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426099702, 426099704, 426099706?\nAnswer: 426099708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1032 - 1026. Solve -27 = -y*a - 51 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 355454.4 nanograms?\nAnswer: 0.0003554544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072313 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/110 - x**4\/33 - 18*x. Determine b so that c(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92910926)\/4*(-4 - -6). Let r = -30455463 - l. What is r rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - s**4\/24 + 2*s**3\/3 + 4*s**2. Let p be b(0). Suppose -328 - 516 = -p*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {j: 5, r: 4, k: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-4 + 2 + 1)*(-53*l + 27*l - 144*l).\nAnswer: 170*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072995 is divided by 179.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240\/(-135)*-1623 - (-1)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 3:25 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*270\/300)\/(1\/((-6)\/(-45))).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -34\/3*t + 0 - 2\/3*t**2 = 0. What is t?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 509 + -504. Which is the closest to -0.1? (a) p (b) -0.26 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-a - 3*a - 2*a)*(2*a**3 - 2*a**3 - a**3 + a).\nAnswer: -6*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.259 + 0.259. Let u = 3.94 - -0.06. Let z be (-28)\/6 - (1 + -5 + -1). Which is the closest to k? (a) u (b) z (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1887 - -1890. Sort -0.14, 2, o, 1.\nAnswer: -0.14, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55597 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*q + 0 + 5\/4*q**2 + 1\/2*q**3.\nAnswer: q*(q + 2)*(2*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -541 + 941. Calculate the greatest common divisor of l and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 135. Suppose -h = 12*h - d. Find g, given that -3*g**3 + 0*g**h + 0*g**3 - g**3 - 16*g**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) -1.36 (c) 2 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42491527 to the nearest integer?\nAnswer: 6519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -300 + -8238?\nAnswer: -8538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1\/15613, -0.2, 6\/7 in ascending order.\nAnswer: -0.2, -1\/15613, 6\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 57, 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 372 = 8*f. What is the second derivative of -3*j + 21366 + f*j**5 - 21464 + 65*j**5 wrt j?\nAnswer: 2540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 4*u**3 + 3*u**2\/2 - 3*u + 72. Let f(i) = 14*i**2 + 2*i - 2. Let w(g) = 2*d(g) - 3*f(g). Let j(z) = 9*z. Calculate j(w(b)).\nAnswer: -162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -7359\/316?\nAnswer: -7359\/316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1390 divided by -278\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2691*k**2\/2 - 5097*k\/2 + 285 = 0?\nAnswer: -2, 95\/897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.02, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j - 221. Let y be a(-10). Solve -y*n - 2 = -11*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24460 and 136995.\nAnswer: 670179540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*-2*sqrt(2736).\nAnswer: -48*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070008 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*d + 70, 4*n = 2*d + 58 + 28. Let p = 127 - n. Suppose -g + 19 + p = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Let b(q) = -q - 2. What is the units digit of b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 22 = -3*k, 20*k = 22*k + 2*h + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 35*k. Let g(s) = 1060160*s - 3*s**2 - 1060160*s. Determine u(g(r)).\nAnswer: 27*r**4 - 105*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.95 + -0.05. Let r = -39.08 - -43.08. Let n = -1 + -1. Which is the smallest value? (a) k (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**4\/4 + 5*u**3\/3 - 2*u**2 - 5*u + 5. Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 2. Let j(l) = -5*l - 2. Let s = -673 - -678. Let n(d) = s*j(d) - 4*g(d). Determine n(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.28, -0.6, 3, -7, -291?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47375\/9 - 5271. Let y = -128257\/10 + 12814. Find the common denominator of t and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473482 is divided by 1125?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/7 - 12*w**3\/7 - 9*w**2\/7.\nAnswer: -3*w**2*(w + 1)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 and -7\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 23066*p - 1102560 = 0. Calculate p.\nAnswer: 48, 11485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 7\/2*l**2 + 0 - 3*l + 3\/2*l**3 + 1\/12*l**4. Is j(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42166 - -211687\/5. Let j = -165 + v. What is u in 14\/5*u - 2\/5 - 16\/5*u**2 - j*u**3 = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k. Let j be 6\/(-12) - (-3)\/3. Factor 0 + k*m + j*m**2.\nAnswer: m**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*k - 7 - 4, g - 2*k = 4. What is the third derivative of h**g - 54*h + 54*h + 7*h**2 - h**5 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(4\/(280\/10))\/((-366)\/14)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 332*p + 6530. Give f(-23).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 2*a**3 - 3*a**3)*(2*a - 2*a - 9*a**2).\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 227814 = 227950 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 5\/8*(42 + 46).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (sqrt(1216) - 4*(sqrt(1216) + 2)) + (sqrt(1216) - 3*sqrt(1216)*1)))**2*2.\nAnswer: 20480*sqrt(19) + 974848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1797285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 505.9 - 490. Round w to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/30 and 61\/2795082.\nAnswer: 13975410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81\/139 or 0?\nAnswer: -81\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.3 - -31.3517. Let c = -0.2 + 0.255. Let m = z - c. What is m rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 - 46*g**2 - 37*g - 49. Is w(63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 16, a: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714 = 6*t + 3*w - 8*w - 1639, 0 = t - 5*w + 25 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*t - t + 4, -8 = t - 2*z. Sort t, 4, 1, 0 in descending order.\nAnswer: 4, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21478\/11 or 1952?\nAnswer: 1952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 1. Let s(w) = -w + 1. Let x = -8 + 12. Let i(o) = x*s(o) + 3*n(o). Let v be i(2). What is the second biggest value in v, 5\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -551, 1, -42, 4, 3 in increasing order.\nAnswer: -551, -42, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10013 (base 4) to base 3\nAnswer: 100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273 + 1527*q**2 - 1526*q**2 + 2*q**3 - 160 + 220 to s + n*q + y*q**2 + w*q**3 and give s.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:19 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 31 = 2*u - 51, -3*u + n = -113. Suppose 0 = -2*x - 2*r - r + u, 5*x - 3*r = 66. Calculate the remainder when 7 is divided by 5\/x + (-8)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 419.\nAnswer: -2933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p + 233. Let q be i(-30). Let n(k) = -2*k**3 + 4*k**2 + 25*k + 14. Let m be n(q). What is the greatest common divisor of m and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1137317948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.162461 less than -2109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374*r - 1976*r = -2606*r + 73470 + 18786 for r.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-1))**9)**(2\/7))**(-22))**(1\/24) assuming q is positive.\nAnswer: q**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/10 + 12\/30. Let q be l\/7 - (-92)\/28. Find the second derivative of -q*m**3 + 7 - 5*m - 7 wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -358, -357, -356, -355, -354?\n\"Answer: j - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, 48, 179, 352, 561, 800, 1063, 1344?\n\"Answer: -z**3 + 30*z**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23012405 is divided by 221273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 23, 12 in decreasing order.\nAnswer: 23, 12, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b - 292. Let g(v) = -v + 1. Calculate 5*g(n) - z(n).\nAnswer: 2*n + 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55256 divided by 6.\nAnswer: -27628\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58*-31*(-5)\/310?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 5*q**2 - 6. Let y(b) = 2*b. Give y(o(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(7*m + 22*m + 8*m) + (23*m + 288 - 288)*(-1 + 1 + 2).\nAnswer: 83*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140442 - -1?\nAnswer: -140441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 926 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/4 of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - 2\/(-3). Let l = -109505\/4 + 27376. Sort l, a, -2, 1\/2 in descending order.\nAnswer: 1\/2, a, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(48)*-1*5 - (sqrt(336)\/sqrt(252))**2).\nAnswer: -20*sqrt(3) + 8\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118929574 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: What is the greatest common factor of 1258 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*q**2 + 5852*q + 5848*q - 11700*q.\nAnswer: 199*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11228 and 36701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-4 - -6) - (7 + 0 + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = f - 248, 3*y + 57 = f - 163. Calculate the remainder when f is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - 7 - (-6 - -3 - 22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1199 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2045389878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 23*l**2 + l + 5. Let f(s) = 2*s**3 - 24*s**2 - s - 6. Give 2*f(x) + 3*r(x).\nAnswer: -2*x**3 + 21*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418292 divided by -1?\nAnswer: -418292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7863360 divided by 48.\nAnswer: -163820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-66 + 27) - 54?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25 and -78.58.\nAnswer: -103.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 - 108*r**4 + 132*r**3 + 572*r**2 + 336*r = 0 for r.\nAnswer: -28, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208) + 5 + 0 - (4 + (sqrt(208) - (sqrt(208) + -2 + sqrt(208) - sqrt(208))) - 6*(sqrt(208) - -2*sqrt(208)))) + -2)**2 + 3.\nAnswer: -760*sqrt(13) + 75116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3433*o**2 + 113 - 3434*o**2 - 113. Let s(h) = 58*h**2 + 2*h. Give d(s(q)).\nAnswer: -3364*q**4 - 232*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1177 (b) -102\/5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:22 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -734887 not equal to -736303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -12.9. Let u = m + -4.1. Let f = 0.1 - -0.4. Which is the nearest to 1\/3? (a) -2 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221964.\nAnswer: 2, 41, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a centimeter?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (5 + -86 - 45).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Let v be u(0). Let o = -7 + v. Let t be 0*(2 + o\/6). Let n(w) = -w**2 + 7. Calculate n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmmqmmqmm. Give prob of picking 1 m and 3 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y - 2*y)*(5 - 3 + 0)*(101*y - 194 + 194).\nAnswer: -404*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20120010 (base 3) to base 12\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 544.\nAnswer: 37536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 101304 and 1114336\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2873 + -2875.3. Let d = 0.13 + 1.87. Which is the nearest to -0.2? (a) n (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 + 3*u + 2. Let y be c(-2). Suppose y = 7*p + 123 - 389. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.42598543 + 1.426. What is v rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(99)*-2*4)**2 - 2*sqrt(44)\/(1*sqrt(484) + sqrt(484) - sqrt(484)).\nAnswer: -2114*sqrt(11)\/11 + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -175, 25, -5, 4 in ascending order.\nAnswer: -175, -5, -1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d - 2*d)*(2*d**2 + 0 + 0)*(-78 + 9 - 9780*d + 67).\nAnswer: 39120*d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.5427275 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 181272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570576 and 167178768.\nAnswer: 167178768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, 7892, -0.04, 1\/6?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13023203133 (base 4) to base 8.\nAnswer: 7134337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 14 + 4. Suppose 5*k - h*d + 0*d - 24 = 0, 3*k - 4*d - 6 = 0. Calculate the common denominator of 17\/6 and ((-6)\/8)\/(k\/(-404)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)*x)\/(x*x**(-6\/17)*x)*(x**(-3\/8)\/x)\/(x**(-4\/11)\/x) assuming x is positive.\nAnswer: x**(-18937\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d**2 + 21*d - 107. Let o(j) = -6*j**2 + 10*j - 54. Let f(q) = -6*m(q) + 11*o(q). What is the remainder when f(3) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 3. Let i be p(8). Let n = 2.05 - 2. Let w = -3.05 + n. Which is the third smallest value? (a) w (b) -2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*s = 44*s - 57255. What is the greatest common factor of 4365 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-3\/11)))**(9\/8)\/(z\/(z*z\/((z**9*z)\/z*z)*z))**(-24) assuming z is positive.\nAnswer: z**(16923\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11936*j**5 - 2*j + 15090.\nAnswer: 238720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g - 19. Let w be n(-3). Solve -3*y - w*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 184661.\nAnswer: 1846610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 6735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/267628 and -25\/1137419.\nAnswer: 4549676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-560)\/(-4480))\/((-2)\/112).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48912606.\nAnswer: 2, 3, 31, 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -0.5 (c) -483 (d) 5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9074.\nAnswer: 2, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1830107, 3660222, 5490337, 7320452?\n\"Answer: 1830115*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/40 + (-54)\/(-8). Let m(v) be the third derivative of 4\/3*v**3 + 1\/4*v**4 + 0 - 1\/60*v**5 - 2*v - 21*v**2. What is m(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035882151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601933310 to the nearest integer?\nAnswer: 24534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) - (sqrt(400) + 2*-1*sqrt(400)) - sqrt(400)*1*3)\/(-1*5*1*sqrt(4050)).\nAnswer: 2*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.8317 hours to milliseconds.\nAnswer: 128994120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -0.31?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) 5583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1026064 divided by -19732\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 2*n - 2*n. Let b(q) be the second derivative of 5*q**4\/4 + 50*q + 1. Give b(a(j)).\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 20536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 times -5?\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 4. What is the smallest common multiple of f(-2) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((945\/(-7))\/(-9))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-4*30\/(-24). Find the third derivative of -9*n**2 + n**4 + n**r - n**4 + 0*n**5 wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.298 + -0.072. Let o = y + -0.03. Suppose -5*v + 0 - 32 = -4*x, -3*x + 5 = v. What is the third smallest value in 0.2, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71193 (base 11) to base 4\nAnswer: -121121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2087*a**2. Let g(t) = -38*t - 6. Let p(o) = -70*o - 11. Let m(s) = -11*g(s) + 6*p(s). What is z(m(r))?\nAnswer: -8348*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2*2 - (sqrt(704) + sqrt(704) + 1)*3)**2.\nAnswer: 480*sqrt(11) + 70409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8683002 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -8.8, -0.4, -57.2, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - 10. Let f = 89\/3 + h. Find k, given that 1\/3*k**3 - 4\/3 + f*k - 5\/3*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 98 + 8*j**2 + 86.\nAnswer: 8*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 333, 1297, 2909, 5169, 8077?\n\"Answer: 324*z**2 - 8*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -47. Suppose -4*m = y - 18, j = -5*y + 3*y + 5*m + 49. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 7. Let q be 2 + s\/(-3 - -4). Let n be (140\/8)\/5*q. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j + 521*j - 93*j + 236*j to the form p*j + a and give p.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541 - 268. Let c = 281 - l. Suppose 0 = 5*n - 61 + 1. Calculate the least common multiple of c and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:41 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 303570661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -2*w**3\/3 + 31*w**2\/2 + 28*w. Calculate the remainder when u(0) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11583*p - 11561*p = 286 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12475, -5, -3400 in decreasing order.\nAnswer: -5, -3400, -12475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 33*w + 24*w - 10*w - 6*w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**7\/210 + 37*f**6\/15 + f**5\/15 + f**4\/24 + 836*f**3\/3 + 2*f**2 - 10*f - 22. Find the second derivative of w(z) wrt z.\nAnswer: 12*z**2 + 1776*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 1412, 3\/2, 3.\nAnswer: -4, -0.3, 3\/2, 3, 1412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 3*w + 3. Let y be d(-3). Let p be -4*(-6*1 + y). Let v = 259 - 163. What is the greatest common divisor of p and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-22800)\/500)\/19)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**3 + 79*y**3 - 54*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*m - 81*m - 253 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8974 + 35609\/4. Let z = w + 217\/3. What is the common denominator of z and (-14)\/(-24)*19\/(399\/318)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + g - 4813 = -1361, 3*x - g - 2582 = 0. Let t = x - 402. Suppose -t = -4*p - c, 3*c - 354 = -3*p - 0*c. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1447519416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 1175 = 1396 - 2401 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052858079 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.18\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 84792 (base 12) to base 7\nAnswer: 1323023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -73, -232, -537, -1036, -1777?\n\"Answer: -8*k**3 - k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1279385 divided by 255877.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 66.61382 nanograms?\nAnswer: 0.06661382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752957364.\nAnswer: 2, 3, 62746447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 2*o - 18. Let x be (-9)\/(-1) - (6 + (-7 - o)). Suppose -x*n = -2*n - 2*q - 150, 53 = n - 5*q. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -68*j**3 - 2*j**2 + j + 2. Calculate k(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddmdmmdydmdd. What is prob of picking 1 y and 3 d?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -4*m + 4. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -p + 52 + 18, -4*p - 115 = 4*l - 27 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(sqrt(133) + (((sqrt(133) - sqrt(133)*2) + sqrt(133))*-6 - sqrt(133)))\/(-2*sqrt(448)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ae6 (base 16) to base 6.\nAnswer: -432342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99695232 or 99695235?\nAnswer: 99695232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19812 + -19810. Let f = -0.11 - -0.1. Let j = f - 0.05. What is the second smallest value in 3, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 7*l + 2*g - 789182, -32 = -4*g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.814 - -825.314. Let g = 822 - t. Let z = -3 - -4. What is the closest to z in -0.5, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**2 - 4*j - 2. What is the units digit of d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1119744\/24336 - (10 - -36).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1902540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 - p**2\/2 + p + 1. Let b = -13 - -13. What is m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmvmvvemvemdpeqmed.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 138, 204, 270, 336, 402?\n\"Answer: 66*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -463540.92 to the nearest one hundred.\nAnswer: -463500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 42*l**2 + l - 1409. What is the tens digit of b(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2039.8030283 + -2039.8. Round m to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 7:54 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -65931.\nAnswer: 329655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3 - 40*r**2 - 85*r - 50 = 0. Calculate r.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011001 (base 2) in base 16?\nAnswer: 1d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let g(k) = 1. Let h(p) = -6*p - 14. Let m(w) = -8*g(w) - h(w). Let f(o) = -6*o - 5. Let d(q) = 6*f(q) + 5*m(q). What is i(d(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/125 and 8\/145.\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 3*d + 3. Suppose 0 = -k + 5*k - 8. Suppose 10*q - 288 = 4*q. Let m = q - 51. Let t(r) = -r**3 + 2*r + 2. What is k*w(f) + m*t(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 + 2*x - 2*x)*(-1 - 2 + 0)*(4*x - 3*x - 4*x).\nAnswer: -45*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 4*x + 6 = 0, -5*v - x + 12 = 0. Let m(o) = o**2 - 3*o + 3. Let a be m(3). Suppose -118 = v*b - a*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10165 and 320465.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 1.3. Let h = -97 + 106.8. Let o = 9.4 - h. What is the nearest to w in o, -2\/15, -2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 30. Let c = p - 2. What is the units digit of (-9)\/15 + (-129)\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 4100.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-26)\/3 + 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -43, -5350 in ascending order.\nAnswer: -5350, -43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:26 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185013)\/3033*12\/(-122).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 12, 458, -4, -1 in decreasing order.\nAnswer: 458, 12, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/13 - 246\/(-78). Suppose r + x*r = 24. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 716, 640, 564, 488?\n\"Answer: -76*p + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -22, -46, -5, -266 in increasing order.\nAnswer: -266, -46, -22, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14343*i**3 + 8603*i**2 - 3 wrt i?\nAnswer: -86058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/84*7\/2. Let u be 351\/81 - (-1)\/w*2. Suppose 0 = -u*b + 71 - 7. Which is smaller: 12 or b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 698620 and 520?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (156\/(-195))\/((-2)\/5). Suppose b - u*k = 3*b, -2*b + 3*k + 15 = 0. Let m be (1\/(1\/(-15)))\/(-1). Solve 3*q = 4*w - m, 0 = -q - 4*w - b - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/4 + 7*d**3\/3 + 5*d**2\/2 + 9*d - 3. What is the units digit of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -198544 + 85369*m**2 + 22144 - 85373*m**2 + 1680*m = 0.\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -49. Let h = 21 - d. Sort 3, h, 2\/3, -4.\nAnswer: h, -4, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let o(p) = -9*p + 3. Let z(f) = -6*j(f) - o(f). What is the tens digit of z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 5*x**3\/6 - x. Let h(k) = -13*k. Let u(j) = -4*j. Suppose 21*m + 160 + 134 = 0. Let d(r) = m*u(r) + 4*h(r). What is d(y(p))?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 36049197*z + 5. Let x be w(4). Suppose x + 11803213 = -3*o. Let k be (-1)\/5 - o\/10. Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 201*v - 27029. What is z(130)?\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 455\/6. Let w(l) be the third derivative of 0 + 1\/60*l**6 + 0*l - q*l**3 + 0*l**5 - 3*l**2 + 0*l**4. What is the first derivative of w(m) wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 8 = -9*m. Suppose -5*p + g + 39 = -p, m = 4*g. Solve -3*t - 2*t - p = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10516934 and 2576.\nAnswer: 588948304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.7. Let w = 68120 - 17166157\/252. Let q = 3\/28 - w. What is the nearest to 0 in h, q, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3*5\/175. Let l(s) be the third derivative of 0*s**4 + 0 - 2*s**2 + x*s**7 + 0*s**6 + 0*s**5 + 0*s + 1\/6*s**3. Differentiate l(d) wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 4*b + 8, 0 = 78*j - 73*j - 2*b + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -220343.7.\nAnswer: 4406874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 13*s - 1771*s**3.\nAnswer: -1771*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 7*y**2 + 2*y + 13*y**4 - 5*y - 7*y**2 + y + 4*y**3 to the form g*y + j*y**4 + u*y**3 + h*y**2 + x and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b**2 - 9. Let k(h) = -2 + 5*h**2 - 9 + 7. Let u(w) = -9*k(w) + 4*o(w). Let s(t) = -2*t. Give s(u(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t**2 - 225*t - 108. Let z be w(-22). Let y be -1*(2 + -3)*4. Suppose 5*m = 2*p - 16, y*m = 2*p + 3 - 15. Put p, z, 5 in ascending order.\nAnswer: p, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000236612335 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*h + h + 5*h)*(-2 - 3 + 0)*(3 + 0 - 2) as x*h + m and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/3*(-3)\/(-2). Let l(x) = 10*x - 138. Let d be l(13). Let p be m\/d + 15\/4. Solve 13 = p*f + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v - 15. Let k be (16\/(-10))\/(2\/v). Let i = -45 + 63. Solve -3*h + i = -3*b, 2*b = -3*h - 2*b + k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(1 + 34) - (-38)\/10. Solve 0*k + 2*k - y = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 8, 18, 36, 62, 96, 138?\n\"Answer: 4*f**2 - 10*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 886 and 11319.424188.\nAnswer: 12205.424188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -24 + 4 - (16 - (1 + 0))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -d + 4*d. Suppose d*j + 0*j - 3*i + 5 = 0, 2*i - 14 = -2*j. Suppose -15 = -j*x - 3. Solve 3*s + 2*w = 2*s, -3*w = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 < 3262\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + ((-5*3*sqrt(147) - sqrt(147)) + (sqrt(147) - (-3 + sqrt(147))*4))**2.\nAnswer: -3192*sqrt(3) + 53211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 365 = 5*a, -3*z - 20 = 4*a - 232. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49026.\nAnswer: 2, 3, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 6*u - 4*u + (-1 - 2 + 2)*(-1 + u + 1) - 2*u + 2*u - u + 0*u + 0*u - u + (1 + 1 + 0)*(-2 + 2 + 2*u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 314*a - 3222. Determine o(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d. Let o(j) = -388769*j**2. Calculate s(o(a)).\nAnswer: -1943845*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m**3 - 33*m**2 - 78*m + 108. Let i(n) = 2*n**3 + n. Let g(k) = -6*i(k) - t(k). Factor g(b).\nAnswer: 3*(b - 1)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*j - 14, 4*j - 2*c = 5*j + 2. Let w be (-184)\/18 + j\/(-18). Is 14 a factor of (-4)\/w*(-6 - -41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c = -52*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 582956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158654, 158501, 158348?\nAnswer: 158195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*f - 206*f = -101*f - 89 - 175 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 (base 7) in base 8?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/113071885 or 1?\nAnswer: 7\/113071885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1365, 1374, 1385, 1398, 1413, 1430?\n\"Answer: p**2 + 6*p + 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*(-2 - 8) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25116473 (base 8) to base 11.\nAnswer: 314827a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3091*h + 58726. What is x(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13. Let w(h) = 2*h - 26. What is 5*t(g) - 3*w(g)?\nAnswer: -6*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-34))**27)**(1\/60))**(1\/18) assuming i is positive.\nAnswer: i**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 9*d = 36. Suppose 3*r - p = 956, -d*r - 3*p + 1243 = 2*p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444188 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*j**4*k + 8*j**3*k - 11*j**2*k + 2*j**2 - 23*k wrt j?\nAnswer: 2472*j*k + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 - 352. Calculate the least common multiple of 4300 and c.\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*n**2 + 6*n**2 - 56*n**2 in the form q*n + t + v*n**2 and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y - 9. Let s = -7 - y. Suppose 4*l + 2*p - 130 = 0, s*l + 3*p = -0*p + 63. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 2*i - 5*i)*(0 + i**2 + 0) + (-i**2 + 5*i**2 - i**2)*(-2*i + 4*i - 3*i) in the form w + j*i**2 + x*i + a*i**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-18))\/((-44)\/(-132))*5.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 v when four letters picked without replacement from {w: 4, v: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -1, 9, 5.\nAnswer: -110, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -98*s - 17. Let f(h) = h**2 - 4*h - 12. Let u be f(5). Is o(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 e when four letters picked without replacement from {s: 5, f: 4, u: 2, e: 4}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*m, 0*d + 3*m - 4 = 5*d. Let o = 18 + d. What is the smallest common multiple of o and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*k + 15 + 6*k**2 - 17 + 32 + 345*k + 64 in the form r*k + v*k**2 + w and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111131 (base 4) in base 10?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47585 and 2264125?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 23 + 25. What is the third derivative of -2*n**2 + n**2 + h*n**4 - 51*n**4 wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9 - k - 2*k - 32 + 14 + k. Let w(n) = -3*n - 17. Calculate 7*v(d) - 4*w(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -8 - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-1 - sqrt(80))*3 + (sqrt(80)*-2*6 - sqrt(80)) + 1 + -1 + sqrt(80) + -4 + 3 + 3)**2.\nAnswer: -288*sqrt(5) + 25924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524988 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1575733 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(480)*-1 + sqrt(480))\/sqrt(12) + sqrt(80)\/sqrt(8))\/(-2*(2*sqrt(20) + sqrt(5) + sqrt(5))) + -2)**2.\nAnswer: 5*sqrt(2)\/6 + 1801\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 2*q**3 + 2*q**3)*(9 - 4 - 4) + 2*q**3 - 2*q**3 + 32*q**3.\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 9:07 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnw when three letters picked without replacement from uhxunxxuvwxu?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133.2 - -90. Let m = 2.8 - o. Let j = m + -45.99848. Round j to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/4, -0.1, -7, -147.\nAnswer: -147, -7, -1\/4, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 545222348 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let c(x) = -2*x + 2. Determine -4*c(g) - 5*y(g).\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371071417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181 + 173 + 5 - 101*f**3 to the form k*f + w*f**2 + x*f**3 + p and give x.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1) + -3 + 24 + 9 + -5 + 6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 283 = -277 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4719*t**2 - 4673*t**2 + 10036*t**2)*(-5*t**3 + 2*t**3 - 1 + 4*t**3).\nAnswer: 644*t**5 - 644*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 19 = -9. Let r(b) = 4*b**3 - 2*b**2 + 2*b + 2. Let w(o) = -4*o**3 + 3*o**2 - 3*o - 3. Give z*w(m) + 3*r(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a - 2. Let f be g(2). Let v = f - 23. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 860 - 159. Suppose -6*w + 1895 = s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 + 2 = 4*n, -3*n = 3*g - 12. Solve w + n - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*s + 4*t + 9, 3*s - 18 = 3*t. Let z = s - 1. What is j in 22*j**4 - 18*j**4 + 24*j**4 - 49*j**5 - j**3 - z*j**3 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79237, 316956, 713155, 1267834?\nAnswer: 1980993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*a**4 + 2*a**3 - 50*a?\nAnswer: -372*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11978 is divided by 82.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075075846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17583524291 + 26.\nAnswer: 17583524317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9257 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, w: 3, y: 3, u: 2}. What is prob of sequence owyu?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/6)\/(11\/(231\/14)). Put w, 0, 2, -5 in ascending order.\nAnswer: -5, 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 2. Let y(l) = -3*l - 3. Let q(x) = -x - 1. Let w(d) = -10*q(d) + 4*y(d). Let i be 3 + (-8)\/2 + 4 + -1. Give i*w(b) + 3*v(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2160, -8728, -19676, -35004?\nAnswer: -54712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3.3, -56.\nAnswer: -56, 3.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:30 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132480 divided by 345.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 - 57 = 4*c, -3*c + 39 = 2*b. Let w = 25 - b. Let r be (-17)\/(-55) - (-2)\/(-5). Sort 2\/5, r, w in ascending order.\nAnswer: r, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuxixiiipiui. What is prob of sequence uu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8085*k + 4*s = 8084*k - 90, -3*k + k - 4*s - 246 = 7*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 810 = -8*d. Solve d*x - 49*x = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 60, 64, 68?\n\"Answer: 4*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17150, 17108, 17062, 17012, 16958, 16900, 16838?\nAnswer: 16772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 4, -2 in ascending order.\nAnswer: -127, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -3206.4.\nAnswer: -3206.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12483 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 44413625.\nAnswer: -44413617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53.89 and -38.1.\nAnswer: 15.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 7*m**4 - 2*m**4 + 6*m + (-2 + 2 + 3*m**3)*(m - 2 + 2) to the form z*m**2 + j*m**4 + y + s*m + t*m**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*c**2 - 23299*c - 25404.\nAnswer: -(c + 2117)*(11*c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 5*n**4\/4 - 10*n**3\/3 - 75*n**2\/2 + n - 2221. Factor h(j).\nAnswer: 5*(j - 3)*(3*j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 (base 7) in base 13?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2 - 2*r + r + 2 + 4. Let g be n(6). Suppose -1 = g*w - 5. Solve 8 = -w*k + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238076 is divided by 1238018.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {e: 3, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 9110 = -2740. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (0 - 3)) + 1. Let g(q) = -55*q**3 + 2*q + 1. Is 18 a factor of g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*z**2 + 3*z**3 - 4*z**3 - 4 - 2*z + 129*z**2 to the form s*z**2 + f*z + x + m*z**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(42\/3*140\/(-3430)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0 - 0. Suppose 3*r + 5*k + l*k - 499 = 0, -4*r - 5*k + 667 = 0. Does 42 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108.48 kilometers in nanometers?\nAnswer: 7108480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3023393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*sqrt(68))**2 - sqrt(68)).\nAnswer: -2*sqrt(17) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(144\/(-1728)*8\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24552308 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**3 - 13*q**3 + 11*q**3 - 22*q**3 - 13*q**3.\nAnswer: -77*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.327565l to millilitres.\nAnswer: 327.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17296279 and 91168?\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1971)\/18)\/((1*2)\/((-792)\/(-594)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1328*l + 1565*l - 942*l)*(1 - 4 + 4).\nAnswer: 1951*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, 168, 266, 364?\n\"Answer: 98*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108132 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-78))\/(1854\/(-16068)). Let h = 830\/1989 - -6\/221. Factor h*p**3 - i*p**4 + 14\/9*p + 16\/9*p**2 + 4\/9 - 2\/9*p**5.\nAnswer: -2*(p - 2)*(p + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 = -52*v - 238 + 5 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + -3.7. Let l = i + 4.9. Let v be (-2 - -6)\/(-4 - -26). Which is the closest to l? (a) 3 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 3. Let p(f) = -1. Let c(d) = g(d) - 6*p(d). Determine c(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/48 - 7*t**3\/8 - 11*t**2\/4 + 2*t + 19. Factor u(m).\nAnswer: (m - 22)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 6. Suppose 0 = 3*q - 0 - u. Calculate the lowest common multiple of 6 and (12\/(-1))\/((-2)\/q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11148 - -11172. Calculate the highest common factor of d and 7032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**3 + 6*m**2 - 4*m + 12. Suppose -11 = -5*z + w, z - 7 = -2*w + 4. Let o be ((-5)\/z)\/((-4)\/12). Is k(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2301101022?\nAnswer: 2301101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:54 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -5*s**2\/2 - 2*s - 39. Let p(u) be the first derivative of u**3\/3 - 212. What is p(j(z))?\nAnswer: 25*z**2 + 20*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {k: 3, i: 4, z: 6, f: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 22*z - 191 + 94 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -56. Let l = 25 + o. What is the second biggest value in -0.5, l, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 0. Suppose 5*u - 3*z = -57 + 257, -4*u - 2*z + 160 = g. Let v = -25 + u. Calculate the remainder when 54 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79193971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97, -186, -275, -364, -453, -542?\n\"Answer: -89*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -79. Suppose -y*p - 140 = -4*n, -5*p + 57 + 48 = 2*n. What is the highest common divisor of n and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.2 or -97?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let h(j) be the second derivative of -3*j**3 + j**2 - j + 5. Give h(a(y)).\nAnswer: 36*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 1. Let c be 390\/27 + (-12)\/27. Let n(g) = -g**3 + 15*g**2 - 12*g - 31. Let u be n(c). What is y(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let t be 2 + (5 - (8 - 2)). Are a and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 473 = 65*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g + 79*g**2 + 0*g - 29*g + 337*g**2 - 10*g.\nAnswer: 416*g**2 - 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*t + 3 + 38*t - 34*t - 7*t - 3*t**2 - 18*t to a*t**2 + d*t + u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351087907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - -2.8. Let t = 8.3 + -7.8. Which is the nearest to -2? (a) f (b) 4\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 31 = -3*t - 4, -30 = -2*o + 4*t. Let g be 2 + -1 + (1 - -1). Suppose 0 = g*v - 4*v + 33. Calculate the greatest common divisor of v and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3715875 by 9.\nAnswer: -412875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 3. Suppose -v + 3 = -j. Let i be (-4818 - v)\/((-1)\/(-4)). Round i to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 160, 150, 126, 82, 12, -90, -230?\n\"Answer: -g**3 - g**2 + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9436442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2688 and -73\/1408.\nAnswer: 29568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 4*t + 7*t)*(-t**2 - 3*t**2 + 3*t**2) as m*t**3 + z*t + f*t**2 + r and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 1 - 9. Let o(b) = 250*b + 3023. Let q be o(-12). Solve -d - 2*z + q = f*d, -z = -d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 81. Let z = 74 - j. List the prime factors of z.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6259541 to three decimal places.\nAnswer: 2.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 2*g**4 - g**4 - 6*g**2 - 1 + 180*g - 181*g + 0*g**3 - 2*g**4 in the form l*g + b*g**4 + u*g**3 + w*g**2 + c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*(-18)\/(-108)*3*4\/(-360)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g - 3*g - 51*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 46\/(-14)) + (-16)\/56. Suppose j*z = 12 - 2. Find q, given that -z*q**2 + 5*q**4 + 10*q**2 + 15*q**3 + 7*q**2 + 5*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5336\/77 - 466\/7. Calculate the common denominator of 17\/3 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7270 - 1270. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*y - 942 + 232, q + 4*y + 230 = 0. Let x = -85 - q. Suppose 3*n - 300 = 2*f, 4*n - x = 5*f + 240. Does 40 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-21))\/(102\/595)*(-8)\/4?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*n + v = -569*n, 2*v + 10 = -n. Let h(c) = -16*c + 88. Let o(i) = 1. Determine n*h(u) + 176*o(u).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {o: 7, i: 3, c: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = x + 4*x + 15, 20 = -5*x. Suppose -6 = -2*r - 2*i, -2*r - i + 2 = -b. Which is bigger: r or -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -41*l**7\/21 - l**3\/6 - 15*l**2\/2 + 8*l - 1. What is the second derivative of o(x) wrt x?\nAnswer: -1640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 6*z. Let g(i) = -79*i + 38*i + 42*i - 4. Let c be g(8). Solve z = -2*w + 4*w - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 4*f**3\/3 - 200*f**2 + 10000*f + 733. Factor g(j).\nAnswer: 4*(j - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/3 - q. Let r(b) be the first derivative of b**2 + 34. Give x(r(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 11*o - 19. Let n be p(7). Solve n*l + 1 = 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*s - 11, 5*o + 2*s + 1 = 2. Which is bigger: o or -10\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**7)\/(c*((c**(-3\/5)\/c)\/c)\/c))\/(c**(-1\/3))**31)**(-37))**(3\/11) assuming c is positive.\nAnswer: c**(-3848\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52175 (base 8) to base 7\nAnswer: 120026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 12*l + 198 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(4752) - sqrt(4752)*2) + sqrt(4752)) - sqrt(4752))\/(-2*sqrt(11)*-1 - (-1*sqrt(99) - sqrt(99))).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 124*w**2 + 5*w - 1. Let g be f(2). Let -505*p**2 + g*p**2 - 5*p**3 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 25. Suppose 9*q = 10*q + 2*u - 11, -2 = 2*u. Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16975 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2033102 - 3?\nAnswer: 2033044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aofofp. Give prob of sequence apo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c**3 + 4*c - 4*c + 340*c**3.\nAnswer: 292*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6921, 18126, 33591, 53322, 77325, 105606, 138171?\n\"Answer: p**3 + 2124*p**2 + 4826*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -21*k. Let n(t) = 546*t. Let r be 16\/5 - (42\/10 - 5). What is r*n(m) + 105*c(m)?\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-6)*t*t*t**(-2\/5)*t**2\/(t**(2\/7)\/t*t))**(-7\/10) assuming t is positive.\nAnswer: t**(-198\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 5, -5, 1, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583789375 to the power of 1\/3, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((59885\/348)\/295)\/(7\/88)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -160*s**2 + s + 1. Let g(u) = -5*u. Give g(v(x)).\nAnswer: 800*x**2 - 5*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 8 (c) 895 (d) -3 (e) -0.05 (f) -1\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/((-609)\/4060)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/24 - 256\/3. Let q = s - -142. What is the smallest common multiple of q and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = f - 12 - 2, 2*d - 4*f = -12. Let u be d\/(-7) + (-126)\/(-98). Let s = u + 19. Solve 0 = 7*n - 2*n - s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(60)\/(sqrt(60)\/sqrt(5)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87023*v**3 - 103705*v wrt v?\nAnswer: 522138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139035885*p**2*t + 268894814*p*t wrt p?\nAnswer: -278071770*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7761 - -7768. Let d(f) = 2*f**2 - f + 1. Let j be d(2). Calculate the highest common factor of l and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/15)\/(((((g*g**(-2\/19)\/g)\/g*g)\/g)\/g*g)\/g*g) assuming g is positive.\nAnswer: g**(353\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(5670\/(-280))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkl when three letters picked without replacement from {d: 5, m: 1, k: 3, l: 1, i: 2}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2172, 2282, 2342, 2256, 1928?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -229. Suppose d = -28*i + 6*i + 23518. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -25. Is 2\/4*(h + 234) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*r**4*u + 540*r**3*u**2 + 6*u**2 - 14718 with respect to r.\nAnswer: 336*r**3*u + 1620*r**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 - (-89 + (-1 - -21) + -39).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 1. Let l be m(-2). Let f be (l\/4)\/(1\/(-4)). Let i(h) = -62*h - 1546. Let y be i(-25). Solve 2*w = 6*w - 5*b - 9, f*w - y*b - 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*b = 919*b + 544. What is the lowest common multiple of b and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368480 (base 10) in base 7?\nAnswer: 3063200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11220179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7735 and 13843865?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u - 98*u = -210. Let z = -0.1 + 0.4. What is the third biggest value in u, -1\/2, -5, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {k: 1, x: 1, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:13 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -61000 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4295 = 173148. Is 14\/(-140)*-1*10*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4738333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 22*k**2 - 16*k. Let p(y) = 7*y**2 - 5*y. Suppose 5*r - 19 = 6. Let x(w) = r*o(w) - 16*p(w). Let l(g) = -2*g**2. Determine l(x(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 2:52 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 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 4*g**6 - 14402*g**5 - 208591*g**2 wrt g.\nAnswer: 480*g**3 - 864120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181326 + 181326 - 393*p - 1293*p.\nAnswer: -1686*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10440 + 204?\nAnswer: 11044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(704) - ((sqrt(704) - (sqrt(704) + sqrt(704)*-4)) + sqrt(704))))**2 + sqrt(704) + (sqrt(704) + -1 + 0)**2 + -2.\nAnswer: -8*sqrt(11) + 180927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -5, 2, -63 in descending order.\nAnswer: 12, 2, -4, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447841329.8 - 1045.\nAnswer: 447840284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -785, 1, -3 in ascending order.\nAnswer: -785, -5, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3174*b**2 + 3046*b - 9. Calculate f(-1).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223347 + 0?\nAnswer: 223347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/363)\/(1\/(-3)))\/(96186\/2530 + -38).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u + 0*u**2 - 11\/3*u**3 + 4 - 1\/4*u**4. Find the third derivative of x(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*j*t*y**2 + 211*c*y**2 + 112*j*t*y**2 - j + 3*t*y**2 wrt j.\nAnswer: c*t*y**2 + 112*t*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/(-7) - 10\/(-35). Let k = q - -9. Suppose k*v = v + 7. What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:14 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172974319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 30*z - 2128 = 0. Suppose -z = -14*r + 6*r. Calculate the remainder when r is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/(-110))\/(((-30)\/8)\/3). Sort -11, 0.3, 0.5, l, 10 in decreasing order.\nAnswer: 10, 0.5, 0.3, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 2 - 7 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -5\/7844, 4, -1\/29, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(4\/(-6779028)). Let c = i - 389838. What is c rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19133946?\nAnswer: 2, 3, 13, 81769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 12:32 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -384, -850, -1502, -2340?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.019587977 to three decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:55 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -2 + 3 + -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 5760.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658752 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -0*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 274.716 - -125943\nAnswer: 126217.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 624425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -11) + -6 + 13 - 5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 1*sqrt(44))**2 + (((sqrt(110) - (sqrt(110)*2 - sqrt(110) - sqrt(110) - sqrt(110)))\/sqrt(10) + 4)*5)**2.\nAnswer: 408*sqrt(11) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -60*d + 1. Let n(o) = -59*o + 1. Calculate -6*n(f) + 5*t(f).\nAnswer: 54*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120120111 (base 3) in base 12?\nAnswer: 44171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.941 + 0.8859. Let u = 0.0951 + t. What is the closest to 0.4 in u, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 184? (a) 1\/22 (b) 1 (c) 1\/4 (d) -6\/7 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/112 and -37\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18381320, -36762628, -55143946, -73525280, -91906636, -110288020?\nAnswer: -128669438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/279 and -113\/54.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 49403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 8:08 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.058 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5765 + 0.3765. Which is smaller: -4\/993 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8*n = -40, -4*n = -g - n - 30939 + 30924 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2. Let u(w) be the second derivative of -w**4\/12 + 16*w**2 - 2*w - 3455. Calculate d(u(n)).\nAnswer: 5*n**4 - 320*n**2 + 5120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/7167 or 0?\nAnswer: -25\/7167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 12) to base 5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 72 + 5*m**2 - 3*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Let x = 3 + y. Solve 1\/2 + 0*z**x + 0*z + 1\/2*z**4 - z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16\/69 (b) -2\/31 (c) 2 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 9*o - 6. Let b be t(6). Let c be 0 - (-3)\/b - 1. Sort 0.03, -1\/4, c in increasing order.\nAnswer: c, -1\/4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 43*p = 0. Solve -2*i + 6 - 4 = p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.11 - -1.01. Let p be (88\/18)\/((-2)\/15). Let c = p + 37. What is the nearest to y in c, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 14000000 = 0. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z**2 + 2. Let w be 2\/5 - 294\/35. Let b = w + 7. Let x(t) = t. Let d(u) = -u**2 - 3*u. Let q(l) = b*d(l) - 3*x(l). Calculate q(o(n)).\nAnswer: 400*n**4 + 80*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -5. Let u(a) = -18*a + 29. Let h be u(2). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42543293 divided by 106093?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 16*q = -376. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**8\/5040 - w**6\/360 + w**5\/60 + 4*w**2. Let d(u) be the third derivative of j(u). Differentiate d(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, -2, -9, -18, -29, -42?\n\"Answer: -g**2 - 2*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611208?\nAnswer: 2, 3, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 873562049*t**2 - 3291515*t - 111.\nAnswer: 1747124098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 50 in descending order.\nAnswer: 50, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66927923\/7 <= 9561133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 694834 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 679 - 665. Calculate the remainder when 319 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68234 divided by -626\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -546483, -1092972, -1639457, -2185938, -2732415?\n\"Answer: 2*u**2 - 546495*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547764605 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from {c: 3, a: 10, v: 2}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 102001110002 (base 3) to base 16\nAnswer: 351e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/(-3) - 1350\/2025?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1416*p**2 - 1422*p - 2836.\nAnswer: 2*(p - 2)*(p + 1)*(p + 709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + f - 70 = 0, -6*o + 70 = -o + 5*f. Let w(h) = -h**3 + 15*h**2 - 15*h + 16. Let j be w(o). Is 5 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608615306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -37 + -1 + 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 16 = -4*w. Suppose 168 = 2*x - 4*r, -x = -5*x + w*r + 324. Let g = x + -78. Solve 3*q - 4*j - 11 = g, -2*q + 1 + 18 = -5*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -81. Let o be 1*(-5 + 4 + v). What is the first derivative of -16 + 32 + 5*r**3 + 12 + 5*r**o wrt r?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 18.08226.\nAnswer: -36.16452","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 4230.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -309 - 68*o**3 - 82*o**3 + 153*o**3 as j*o**2 + q + f*o + h*o**3 and give q.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/13)\/t**0*(t**(1\/2))**(45\/2)*t*t**(-5)*t\/t**(-1)*(t**(1\/8)\/t)\/(t\/((t*t*t*t*t\/t**(-3)*t)\/t*t)) assuming t is positive.\nAnswer: t**(1719\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8353, 16690, 25015, 33328, 41629, 49918, 58195?\n\"Answer: -6*i**2 + 8355*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -366 + 377. Let p(t) = -t**2 + 14*t - 16. Calculate p(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (315\/(-39) - -8)*2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/10320 and -61\/182965.\nAnswer: 8782320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1316*q**3 - 4*q**2 + 104*q - 203. What are the prime factors of g(2)?\nAnswer: 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98253 + 5?\nAnswer: -9824a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - 9*v + v**2 - 12*v + 6*v to the form u + j*v**2 + z*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15628294 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 + 3224*j**2 + 1374*j + 4343. Determine t(461).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1254 and 7182.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 18*f**2 + 1374 + 84*f**2 - 1376.\nAnswer: 78*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6645 and -102.2.\nAnswer: 679119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 - (-9 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*x = -2*z - 261*x + 18, 0 = 4*x + 4. Let m(a) = -6*a**3 - 4*a - 9. Let n(y) = -11*y**3 - 7*y - 19. Give z*m(g) - 4*n(g).\nAnswer: 2*g**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 5*r. Give m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o + 54. Give y(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169749 - -276470. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + 5*i**2)*(-45*i**2 + 373*i + 1 - 68*i + 43*i**2).\nAnswer: -4*i**4 + 610*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02897 to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13758 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -3*l**2\/2 - 5*l + 28. Give s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-6)\/(-3))\/(1*-1). Suppose -4*d = 4, -2*a + 4*d + 0*d + 302 = l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8773969.\nAnswer: 8773969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000907266391 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967359631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.1 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 1, n: 1, u: 3, b: 1}. Give prob of picking 1 g, 1 n, and 2 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4153 + 4152.81. Which is the second biggest value? (a) -0.03 (b) -4 (c) h (d) 2\/3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(114) + sqrt(114)*2*1 - -2*sqrt(114)*2)\/((sqrt(6) - sqrt(6)*1 - sqrt(6))*2 + (sqrt(48)\/sqrt(2) - sqrt(6))))**2.\nAnswer: -56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -3 + (-9 - 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1742119 - -2977596. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 279.0000425 - 279. Round b to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Let f(n) = -3*n**2 + 4*n - 2. Determine f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4154, -4157, -4162, -4169, -4178, -4189?\nAnswer: -4202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6\/5 (b) -2\/21 (c) -1\/4 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 - h + 11. Suppose 5 = -32*n + 27*n, 5*n + 2 = -o. What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15504797.73 rounded to the nearest one hundred?\nAnswer: -15504800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27727 is divided by 8635?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -10895.\nAnswer: -10898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - 28. Let z be (2 - 0) + x + 2. Let w = 54 + z. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 13*x - 1215. Calculate n(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4179086400 to the nearest one million.\nAnswer: -4179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6202 and 1508850469?\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18876887 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5175, -5172, -5169, -5166, -5163, -5160?\n\"Answer: 3*i - 5178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/19, 184, -6, -1\/6, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 6, a: 10}. Give prob of picking 1 a and 2 x.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25b (base 12) to base 16\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**2 - 366*y + 4195. Give l(11).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 24. Let l be (-8 + 6)*s\/2. Let k be (4 - (0 + 3))*l. Which is the second biggest value? (a) 2 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/7 - 5336664*l\/7 + 3559997831112\/7 = 0.\nAnswer: 1334166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:20 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 926052*r**2 + 9260670*r + 23151800 = 0. Calculate r.\nAnswer: -5, 463036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -5. Suppose 5*t - 23 + x = 0. Factor -1\/2*a**5 + 0*a**3 + 1\/2*a**4 + 0*a**t + 0 + 0*a.\nAnswer: -a**4*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 1 (c) -1\/9 (d) 926 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f**2 - 2*f. Let a be 3*(3 + -3 + -1). Let y be w(a). Let s be (4\/y)\/((-15)\/45). Put -5, 6, s in decreasing order.\nAnswer: 6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13100.28 millimeters?\nAnswer: 13100280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*j + 565 - 149. Which is the closest to 3? (a) 0 (b) 1\/13 (c) j (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/4*(-6)\/(-4). Let p(b) = 5*b. What is the remainder when 15\/5 - 1*-39 is divided by p(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bb8 (base 12) to base 3.\nAnswer: 102211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 81*b. Let g be (-1)\/(18\/(-4)) + 304\/(-72). Let t(d) = -23*d. Let k(x) = 3*x. Let w(q) = 6*k(q) + t(q). Determine g*v(z) - 63*w(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 - (-1 + sqrt(567)))**2 - sqrt(70)\/((sqrt(40)*-1)\/sqrt(4) - sqrt(10)).\nAnswer: -11*sqrt(7)\/2 + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 196 = -5*f - 409, 3*b + f + 353 = 0. Let s = b - -251. Let k be 15 + ((-12)\/4 - -3). Calculate the greatest common divisor of k and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 + 5 - 4*y**3 - 7*y**2 + y**2 - 2*y - 3*y. Is a(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 1201854 - 1201854. Let c(z) = -21*z + 5. Let t(d) = -210*d + 49. Let m(k) = 49*c(k) - 5*t(k). Determine m(v(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*z + 3*j - 22, 88 = 4*z - 3*j. What is the remainder when 63 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*h - 2. Suppose 14 = h*m - 10. Let 2*c + 6*c**4 + 10*c**3 - 8*c**4 - m*c**2 - 2*c**4 = 0. What is c?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277257 + -12?\nAnswer: -277271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 39. Suppose 2*s = s - 9. Let o = 11 + s. Calculate the smallest common multiple of o and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 1. Suppose -4*p + 4*r + 8 = 0, -5*r - 3 = -p - 17. Let x(q) = v*q + 4 - q - p*q. Calculate x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*q**2*w**2 + 58*q**2*w + 15951913*q**2 + 296*w**2 wrt w.\nAnswer: -30*q**2*w + 58*q**2 + 592*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 d when three letters picked without replacement from grddwrvgtdddwdvrrgv?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191241807*w**4 - 7455*w**2 - 168*w + 23.\nAnswer: -4589803368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -5 - n**2 + 1 + 0. Let o(a) = 2*a. What is o(d(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 - 2*r + 2. Let z be i(3). Let b = z - -16. Suppose -11 + 71 = 5*p - 3*v, 0 = -p + 4*v + b. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 120*n**2 + 7*n + 7. Let t(z) = -17*z**2 - z - 1. Let a(g) = -21*t(g) - 3*v(g). Let i(w) = 137*w. Give a(i(o)).\nAnswer: -56307*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - a + 2. Let b be g(-6). Let c = 71 - b. Suppose -2452 = -68*i + 13058 + 1014. Calculate the highest common factor of c and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 32. Suppose 5*f = 5, -3*f = -v + 2 - 1. Is (-327)\/(-12) - x\/v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 4*k + 8. Determine s(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1086735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00688532 - -32?\nAnswer: 31.99311468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*-2*sqrt(735))\/((sqrt(99)\/sqrt(3)*-2)\/sqrt(11)))**2.\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*q + 253*q = 22399. What are the prime factors of q?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2*c = -3*i - 2, 5*i = -2*c + 6. Let r be (i + -5)*(3 + -1). Let x = 1 - r. Which is smaller: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 58. Let a = -8 + 4. What is the smallest value in w, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1730, 6922, 15568, 27662, 43198, 62170?\n\"Answer: -r**3 + 1733*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26882*r + 4*r**2 + 0*r**2 - 26925*r to y*r**2 + z + f*r and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 878.7 + -831. Let d = 1.02 + 40.98. Let z = d - x. Round z to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.6965437 rounded to one decimal place?\nAnswer: 340.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*a - 1891 = -43*a - 5347. Let b = -0.1 + 0.2. What is the nearest to a in b, 5\/3, 1\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3488.89 - 3489. Which is the nearest to 2? (a) 1 (b) -5 (c) p (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2200, 0 in descending order.\nAnswer: 0, -8, -2200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 1\/7, -37, 4\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x - 12. Does 8 divide (-3)\/((-4)\/64*x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + -1.6. Let b be 60\/(-9)*6\/(-5). Let r(i) = -i**3 + 9*i**2 - 9*i + 12. Let t be r(b). What is the smallest value in y, t, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.69 - 0.31. What is the nearest to 0 in x, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*r - 516*r - 509*r - 507*r + 2042*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(624)*-2 + sqrt(624)) + sqrt(624))\/sqrt(12))\/(-2*sqrt(256)*2).\nAnswer: 5*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-22))\/(-140*(-129)\/108360)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000352616 to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 2257, 2366, 2485?\nAnswer: 2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let s(y) be the second derivative of -1\/6*y**3 - 3*y**2 - 3*y - 1\/6*y**4 + 0. Let k(r) = 6*i(r) - s(r). Give k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7730\/3421 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 20. Solve 4*d - 5*v = -11, a*d = v - 2*v + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/4 + 8*o**3 - 23*o**2\/2 + 2*o + 1045. Give n(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -499*q**2 - 26. Let o(i) = -8*i. Calculate o(z(r)).\nAnswer: 3992*r**2 + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 217\/3. Let v be 78\/10 + (-8)\/(-40). Let x be (v\/(-14))\/(-4 - -2). Which is the closest to x? (a) 1 (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519\/2*(1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13002238 - -12989309.039. Let a = 12874 + c. Let x = a + 55. Round x to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 98*f = -95*f + 13, -3*f = 14*n + 29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 13, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-1006.\nAnswer: -13078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3329 + 3328.99375. Round m to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o + 1. Let h(b) = 108*b**3 + 6*b**2 - 30*b + 11. Let u(i) = 36*i**3 + 2*i**2 - 11*i + 4. Let s(v) = 3*h(v) - 8*u(v). Determine -2*a(n) + s(n).\nAnswer: 36*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((290\/30)\/(-1))\/(4\/(-24)). Which is the biggest value? (a) -2 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 199, 312, 427?\n\"Answer: r**2 + 108*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/8 + 1*(-26)\/6. Let m = -0.1 - -0.1. Which is the third biggest value? (a) 5 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-8 + (9 - 1) + -4 - -10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Suppose -55 + 20 = -5*p. Let i = p + l. Let h(y) = -y**3 + 5*y**2 - 3*y + 6. Determine h(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s = -0*s - 10*s. Let q(g) = g**2 + 2*g + 87. Calculate q(s).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b + 69. Let i = 29 + b. Let a(n) = 3*n - 10. Let q be a(i). What is the greatest common divisor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, q: 2, i: 4}. What is prob of picking 1 q and 3 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -7*x**4\/12 + 9456*x. Let j(c) = -358*c**2. Give b(j(q)).\nAnswer: -897148*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1.1 (c) -5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -62. Let w be s\/(357\/(-117) + 3)*-2. Suppose 39 + w = 3*i. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*d + 158 = 1566, -d = 4*s - 2806. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7220 divided by -380?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293204, 293131, 293058, 292985?\nAnswer: 292912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60243\/1045 - -1105\/19. Let s = 17278\/18585 + 7\/531. Find the common denominator of s and h.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(99)*1 + sqrt(99)*-1*-2)\/(4*sqrt(324)))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t**2 + 3*t + 1. Let b be o(-2). Let v = -134 - b. Let k = -31 - v. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -526, -525, -508, -469?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:05 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395 + -394. What is the second biggest value in 0.26, s, -2\/13?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5498880956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 394 = 2*c - 398, -4*c + 14 = 5*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130249.\nAnswer: 7, 23, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 - 3*d + 3*d + 2*d**2)*(0 + 0 - 2*d) to y*d**4 + v*d**2 + o*d**3 + x*d + r and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 1632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.083, -0.28, 127, -3?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50912153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + v**2 + 4*v**2)*(3*v**2 - 2*v**2 - 2*v**2 - 30).\nAnswer: -8*v**4 - 240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 10*o - 22. Let w be m(2). Let q = 2 - 1. Solve -4*p - 2*s = 2, 3*s = w*p - 12 + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*u - 68 = 0, 0*a = 4*a + 4*u + 80. Let i(m) = -10*m**2 - 12*m. Let x(h) = 3*h**2 + 4*h. Give a*x(l) - 5*i(l).\nAnswer: 2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 319. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/224 and 44\/15.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119647.\nAnswer: 11, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 23, 127, 323, 635?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11071*g - 329089 - 359150 - 53518 for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167009 (base 10) in base 15?\nAnswer: 3473e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 + 4*l + 3. Let w(b) = -b**3 + b. Let r(u) = h(u) + 5*w(u). Let d(y) be the second derivative of r(y). Let q(s) = -s. Determine q(d(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 - -33440?\nAnswer: 33312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12912701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 3*i**2 + 12*i - 6. Let m be g(3). Suppose 0 = 3*t - 12 - 0. Suppose t*u = 5 + m. Sort 5, -5, u in increasing order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let j be t(0). Suppose -q - 2*q + 42 = j. Suppose -q + 0 = -2*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*r - 617, 3*s - 2*r = 518 + 101. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 109. Let m = 197 - l. Calculate the highest common divisor of 62 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 148?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 55016592.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 31, 0, 2, -9, 5, -4 in increasing order.\nAnswer: -19, -9, -4, 0, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/18735 and 97\/30.\nAnswer: 37470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*u. Let q be ((-4)\/u)\/((-8)\/12). Suppose 4 = x + q. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 6*u - 151 = 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59973995, 59973996, 59973997?\n\"Answer: q + 59973994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50232\/560)\/(-299) + (-81)\/(-370).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 113.5578ml?\nAnswer: 0.1135578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kwwwwkwwwwwkkwkwwwww.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*b + 1, 5*b = 3*a + 9 - 20. Suppose -4*c + 1 = -7. Find the second derivative of 9*x**5 + 9*x - 2*x**2 + 14*x + c*x**a wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 501*n**2 - 335*n - 200. Let j be l(115). Round j to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02692 to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -16) + -20 + -16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 5. Let x(v) = 1. Suppose 2*u - 77 = -17. Suppose 5 = -3*z - 3*k - 4, 2*k - u = 4*z. Calculate z*x(c) - o(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 1. Let x = q - -5. Let b(a) = -a**2 - a + 2. Let c be b(-2). Solve 3*z = c, -4*z = x*h - 2*z + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 23, -2\/9, -1\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 4*w + w. Let c(u) = -4*u. Calculate d(c(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527071, -1054174, -1581277, -2108380, -2635483?\nAnswer: -3162586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3 = q, 331*j = 332*j + 2*q - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peppppeppeececcceece. What is prob of picking 1 e and 1 c?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6790771 and 2166.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 577, -11, 100, -2 in decreasing order.\nAnswer: 577, 100, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -1*(-192)\/16*10\/(-24). Solve 8\/7*o**2 - 1\/7*o**3 - 5\/7*o - h = 0 for o.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u + 12 = 0. Let k = -87 + 91. Suppose -6 = k*l - 22. Sort l, u, 2 in increasing order.\nAnswer: 2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4615017, 9230026, 13845035, 18460044, 23075053, 27690062?\n\"Answer: 4615009*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Let k(y) = 8*y - 7. Let z(i) = 3*k(i) + 21*p(i). Let g(j) = -32*j + 21*j + 14*j. Give z(g(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/56071 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:46 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*-0.1\nAnswer: 0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517 = 346*i + 441 + 1464 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 488021*l**2 + 113*l - 113. Is g(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245145015 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113546239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 28467*h - 28474*h + 29, 3*h = 3*c + 33 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 6*o + 82. Suppose 0 = 5*l - 10, 4 = -2*t - 3*l - 0. Let i be m(t). Solve -i + 12 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-nine halves of a day?\nAnswer: 948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/12 - (-90)\/378. Which is greater: v or -17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -6\/1045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 20711, 58\/5 in increasing order.\nAnswer: 58\/5, 13, 20711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 145*p**2 + 2*p + 2. Suppose -5*n + 24 = -9*n. Let k be n\/(-27) + 88\/(-72). Is c(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.561 + -5.\nAnswer: -3.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-5\/7)*d)*d*d**14)\/(d\/(d*d**(3\/13)*d)*d**5) assuming d is positive.\nAnswer: d**(866\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 579, 1927, 4537, 8829, 15223, 24139, 35997?\nAnswer: 51217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/651, 0.2, 0, -3\/7.\nAnswer: -3\/7, -2\/651, 0, 0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + u)*(-197*u - 51*u + 32*u) + (2*u + 0*u - 3*u)*(-3 + u + 3) + (3 - 2*u**2 - 3)*(4 - 14 + 19).\nAnswer: 413*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-3))\/((-2)\/15). Suppose 5*s = -4*v + r, -2*s + 45 = 2*s + 3*v. Solve -o + s = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-880)\/(-4)*((-55)\/(-20))\/(-11)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83450595 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.22 and -15362.\nAnswer: 18741.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccctcttccctcccccccc. Give prob of picking 1 t and 3 c.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/(2\/10). Let r(w) = -2*w - 3. Let t(b) = -b**3 - b**2 + 5. Let v be t(0). Let g(f) = 9*f + 6 + 2*f - 13 - 15*f. Calculate v*r(o) + x*g(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5 + 3*c + 2 + 0*c - 2*c**2. Let h(p) = -p**2 + p - 1. Determine 6*h(z) - 2*s(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**2 + 7 - 9*l**2 - 8 + 32*l + 12. Let i be d(33). Which is bigger: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -42. Suppose 4*q = -2*x + j, x = -2*q - 2*q + 4. Round q to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -42. Suppose -3*x + v*b + 9 = 0, x - 4*b - b = -5. Let p be (-1 + 15\/6)\/(6 - x). Put 1, -4, 1\/2, p in ascending order.\nAnswer: -4, 1\/2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 46 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 5001?\nAnswer: 2\/5001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 306, 620, 934?\n\"Answer: 314*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*s + 1649 + 2248 + 564 = 549 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2234550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.4 - -36. Let k = 7.6 - q. Let g be (-7)\/4 - (0 + -1). Which is the smallest value? (a) 5 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 3 - (-84 + 91 + -1 + -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i*i**(-4\/7))**13*(((((i**(-2\/5)\/i)\/i)\/i)\/i)\/i*i)**3*(i**(-2\/7))**(-12) assuming i is positive.\nAnswer: i**(-518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 198, 184, 150, 90?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) + (-2 - (-637)\/2). Suppose 11*c + v = 1132. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18171 and 245835.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - -9049) + -69 + 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 40*i**2 + 24*i - 24. Let r(l) = -8*l**2 - 5*l + 5. Let n be -1 - 176\/6 - 20\/30. Let d be (2 - -1) + (n - -4). Give d*r(m) - 5*x(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.79417 - -76.75. Let w = m + 0.043. Round w to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(1100) + -4) + 2)*-4)**2.\nAnswer: 70400*sqrt(11) + 1767744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.7161138 rounded to one decimal place?\nAnswer: 72.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 11 - 11 + 2*l**3 + (0*l**3 - 2*l**3 + l**3)*(0*l**2 + 0*l**2 - l**2).\nAnswer: 3*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 3*t**2 + 7*t - 13. Let j be 39\/((-8424)\/96) - 22*(-2)\/18. Calculate h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454101?\nAnswer: 11, 67, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31766010 to the power of 1\/2, to the nearest integer?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = 0. Suppose 0 = 4*r - 2*a - 7 - 11, -r + 5*a - 9 = v. What is the lowest common multiple of r and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 300571.\nAnswer: -3\/300571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 159877?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2. Let w(y) = 1372 - 14*y**2 - 1372 - 17*y**2. Determine k(w(f)).\nAnswer: -4805*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.462 - 0.96. Let t = a + 0.028. Let v = t - 0.03. Put v, 0, -1 in increasing order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417080.\nAnswer: 2, 5, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f - 1\/3*f**2 + 0 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20*t**2 - 13*t + 16. Let w be x(-6). Calculate the highest common factor of w and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 84*v + 1192. Give n(66).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7459132 to the nearest integer?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/8 and ((-3)\/21)\/((-156)\/(-75) + -2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 23 = -l + 69, 3*i + 138 = 3*l. Calculate the highest common factor of 1909 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4389508031 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -14. Let n = k - 4. Suppose 5*z = 3*m - 29 + 7, n = -4*m - 5*z - 29. Which is greater: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/(-2) - 301)*2\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 3 + (-30 - -13) + -38\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30166?\nAnswer: 2, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 983973*o*w - 554*w - 873 wrt o.\nAnswer: 983973*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g - 0*g. Suppose -g*c + 6 = -98. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 12*s. Let y(n) = -n**2 - 11*n. Let t(j) = 2*i(j) + 3*y(j). What is the second derivative of t(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2 - 62. Let w be 3\/(-12)*(-16)\/j. Sort -2\/13, -1, w.\nAnswer: -1, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytkhh. Give prob of sequence hk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 = 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 28 = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.968053624 to 4 dps.\nAnswer: -0.9681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1042*n**3. Let c be h(1). Is (-5)\/(-30)*c*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 - 4242\/(-147) - 18. Which is the second biggest value? (a) 13 (b) g (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 27. Let p be n(-11). Let k(f) = 1. Let x(a) = -3*a**3 + 15. What is p*k(i) - x(i)?\nAnswer: 3*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (0 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 2:36 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 13469 = 60*u - 18314 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72039, 144064, 216075, 288066, 360031, 431964?\n\"Answer: -k**3 - k**2 + 72035*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/m**3)\/m)**(-44)*(m*m**(-4))**(-5\/7) assuming m is positive.\nAnswer: m**(323\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, 0.09 in ascending order.\nAnswer: -25, -1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/(((-2)\/3)\/(7\/(-49)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 4. Give j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43171)\/5631)\/(((-3)\/18)\/(1\/10)*-1).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 113370, 226744, 340130, 453534, 566962?\n\"Answer: d**3 + 113367*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 948\/(-66))*(-1078)\/(-28)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1616.5 + 1621.5. Which is the closest to -791? (a) w (b) -0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f21ef (base 16) to base 9.\nAnswer: -1771348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 12.6. Let l = v - -14.2. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1234168494 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 341675321 at most 341675323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2368 - 1119. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27886 (b) 1 (c) -2 (d) -0.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*a - 19 = -a, -22 = -2*l - 4*a. Suppose -l*s + 4*f = -26, -3*s - 3*f - 8 = -20. Factor 0*b**3 + 0*b**3 + 6*b**3 + 15*b - 3*b**3 - 12*b**2 - s.\nAnswer: 3*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-nine quarters of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1688 = -11*c + 19*c. Let w be (-4)\/(-1) + 2840\/8. Let m = w - c. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16328.791 + -2.\nAnswer: 16326.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1256 or -1215?\nAnswer: -1256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243558 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6616607, 6616608, 6616611, 6616616, 6616623, 6616632, 6616643?\nAnswer: 6616656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4507, 9019, 13529, 18037?\nAnswer: 22543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -37, -60, -83, -106, -129?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -42, -36, -30, -24?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Suppose -2*o + 15 = 5*u, u + 195*o = 193*o + 3. Let w(g) = 2*g**2 - 10. Calculate u*w(n) - 30*m(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmr when three letters picked without replacement from {b: 2, r: 1, m: 4, z: 5, h: 4}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5340, 5334, 5324, 5310?\nAnswer: 5292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 72 = -15*g. Factor 21 + 99*a + 93*a**2 - 81*a**2 - g*a.\nAnswer: 3*(a + 7)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*y - 13. Let v be ((-6)\/45)\/(8\/y). Which is the nearest to 0? (a) -2 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - c - c + (3 + 2 - 3)*(0*c - c - c) - 3026*c - 805*c - 455*c.\nAnswer: -4289*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -23) + -15 - (-7 + 1 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3.08.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1960 greater than -1957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -111, -35?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1182*k**2 + 16*k - 16. Let n be -9*(1 - 4\/(-12)). Let z be a(n). Round z to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 78?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/3 - 2444*q**4\/3 - 332112*q**3 - 135832180*q**2\/3 - 134838286*q\/3 = 0. Calculate q.\nAnswer: -407, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose -3*z + 65 = c, 17 = z + c - 8. Suppose -y - j*y = -z. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 0*l + 7*l**2 + 2*l**4 - 9*l**2 - 13*l**3 - l + 4*l**3 in the form n + f*l + k*l**3 + g*l**2 + s*l**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9059, -2\/21, -2\/3 in decreasing order.\nAnswer: 0.9059, -2\/21, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from sssssmmssmsssssmsm.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h + 2. Let c(b) = -b + 1. Let k(v) = 6*c(v) - w(v). Suppose 0 = -10*g + 3*g. Calculate k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52920100 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7357365 divided by -4.\nAnswer: -7357365\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 19 = p - 5*x, -2*p = 2*x - 2. Suppose 7*u - 268 - 362 = 0. Let i = -90 + u. Solve p*d + i*d = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*v - 9*v - 24 = 0, 24 = -4*b - 3*v. List the prime factors of 3452\/b*(-93)\/62.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a + 7548?\nAnswer: 74a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 184016939 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4588474 times 5?\nAnswer: -22942370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2.58, 1.6, 3, -0.567?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/3)\/(s\/s**14)*s**11*s**(5\/2)*s assuming s is positive.\nAnswer: s**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -171?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33802 by 1769.\nAnswer: -33802\/1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1235999*b**2*k*o + 4*b**2*k - b**2*o - 4*b**2 + 3*b*k + 26*b*o - 5*b - o + 4 wrt k?\nAnswer: 1235999*b**2*o + 4*b**2 + 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/(j*j**(3\/16)*j*j)*j**(-1\/27)\/(j\/(j*(j*j\/j**12)\/j)))**(-48) assuming j is positive.\nAnswer: j**(6289\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 times -0.3?\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 27.2. Let k = 3.05 - 1.88. Let o = -0.17 + k. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0 - (-85 + 87)) + -53 + (-11 - 1).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 26*z + 32 = 0. Let q(j) = -10*j. Give q(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s - 8. Let i be 6\/(-9) - s\/6. Determine f so that i*f + 0 - 1\/4*f**4 + 1\/4*f**5 - 1\/4*f**3 + 1\/4*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115?\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 9 = l, -16*z + 13*z = 4*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 11, a: 2, g: 3, c: 2}. Give prob of sequence gll.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) -1\/2 (c) -1\/5 (d) 2800 (e) 0.5 (f) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17734 and 766209.21.\nAnswer: 766209.03266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 0. Let y = -55.913 + -0.087. Let l = -55 - y. Sort l, -1\/3, q in increasing order.\nAnswer: q, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3, -p - 2 = -z - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, d: 1, c: 2, s: 2}. Give prob of sequence sm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 3*p**2\/2 - 3*p - 1. Let o(x) = 7*x - 7. Let q = 1 + -6. Let m(s) = q*v(s) + 2*o(s). Find the first derivative of m(z) wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3 + 3*q - q - q. What is the units digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4 + y**2 - 2*y**2 + 2*y**2 + 5 + 7*y. Let v be x(-6). Let u be 2\/5 + 46\/10. Solve 4*w - u*i - 23 = 0, -v*w = -0*i - i - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90801407 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/7 - -3 - (-4)\/7. Let m be (2 + -2)\/(2 - (h + 1)). Solve m = k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85392 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-38)\/2)\/(-1). Suppose -4 = -4*o - 2*r, 3*o - 3*r = l + 4. Suppose -16 = -o*h - 4. What is the smallest common multiple of 9 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243046943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + (0 + 0 - (192 + -203)) + -27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129083 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8816 + 17 = -7*b. Suppose 7*c - b = -207. What is the greatest common divisor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3641324 times 11?\nAnswer: 40054564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:59 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - 159*p - 38. Let d be l(23). Solve -18*v + 130 = d*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -0.3, 4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151993634 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 2*q - 2. Let p(o) = 10*o**2 + 7*o - 7. Let h(m) = -7*k(m) + 2*p(m). Let b(u) = -152 + 152 + 5*u. Determine b(h(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 1 + 29*f**3 + 11*f**3 + 9*f.\nAnswer: 40*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7 - 3*n + 0*n + 2 + 2*n. Let i be x(-6). Let w be ((4 - 6) + i)\/(-1). Solve 0 = -4*p + c + w, -2*p + 17 = 5*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*z - 2*t, -26415*t + 6 = -4*z - 26413*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*o + 2137 = 0, 0 = 2*n - 5*o - 2099 - 2187. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 2*o**2 + 3*o - 2. Let p be d(3). Calculate the remainder when 4\/((-2)\/4*-1) is divided by (-5)\/p*(-12)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 154608 and -143.4828849.\nAnswer: 154464.5171151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4357684 or -4357691?\nAnswer: -4357691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnbpnnbhhnhb. What is prob of sequence hhhb?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 - 3*m**2\/2 - 3*m. Let v(l) = -l**3 + 6*l**2 + 8*l - 7. Let k be v(7). Calculate w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (1 - -8)\/3. Let h be j\/((-10)\/58)*1. Calculate the common denominator of -3 - (-3 - h\/9) and 26\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 106\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1891447 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4371 - 2043 + 395*g - 393*g.\nAnswer: 2*g - 6414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 4*s + 3. Let t = 2271 + -2273. Let h(z) = 9*z**2 + 9*z - 7. Let i = -11 - -6. What is i*v(w) + t*h(w)?\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49\/39 + 12\/13. What is the second biggest value in k, 1\/9, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -2\/11, -6871, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32377237 a multiple of 4601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -8\/13 (c) -2 (d) 2243\/10 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6597943 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 6 + 45 = 3*g, -4*g + 5*q = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:13 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 41*t**2 + 19*t + 46. Let o be i(21). Calculate the greatest common divisor of o and 412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019674 rounded to seven decimal places?\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 9*w - 20 = 8*w. Solve 17*c + w = 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*(-18)\/(-27). Is 0 + h + 12*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g. Let x(r) be the third derivative of r**7\/420 - r**4\/2 + 89*r**2. Let h(k) be the second derivative of x(k). What is o(h(f))?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:24 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 601 or 600?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1143 - -337. Let t = s - 1277.6. Round t to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h + 77. Give r(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 56. Let v be l\/(-6) - 7\/10. Let n(i) = i**3 - 7*i**2 + 7*i - 8. Let y be n(6). Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 497.\nAnswer: 99.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 19, 6, -21, -68, -141, -246, -389?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 6. Let i(y) = 3*y - 7. Let q(l) = -5*i(l) + 4*r(l). Let p(w) = 2*w**2 + 5*w. What is the remainder when q(-8) is divided by p(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5 - 3. Suppose 83 = -a*g + 323. Does 8 divide (3\/(-6))\/((-2)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/3 - 9*b**2\/2 - 47*b - 72. What are the prime factors of d(-10)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 36, 87, 182, 333, 552, 851, 1242?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*a**2 + 1095*a**2 - 566*a**2 + a**3.\nAnswer: a**3 + 89*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-2)*p)**(-3\/5)\/((p*p**(1\/3)*p*p\/p**(-1\/3))\/(p*p**6*p\/((p\/(p\/p**(1\/3)))\/p))) assuming p is positive.\nAnswer: p**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 136 = 38 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429224 is divided by 193?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.013 + -0.013. Let j = 110 - m. Let t = -69.4 + j. What is t rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2483\/(-195) - ((-2)\/(-9) + (-101)\/9)?\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 173795965*r - 258147593.\nAnswer: 173795965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -12. Let b = -7 + j. Suppose -x - 4*i + 0*i + 29 = 0, 175 = 5*x + 5*i. Sort x, b, -1 in increasing order.\nAnswer: b, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 366 = 138. Let g = 492 + p. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -39. Let l = z - 8. Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 + 17*m**2 + 16*m + 16. What are the prime factors of j(-7)?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -7. Let p = -6584 + 6584. Sort g, -5, p in decreasing order.\nAnswer: g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*m - 17*n - 67 = -379*m, -3*m - 14*n = 70 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r. Suppose r = -2*a + 57 - 11. Suppose 3*o = -15*c + 16*c + 41, -4*o - 2*c + 48 = 0. Calculate the remainder when a is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*p = -38, 2 + 3 = -5*v + 5*p. Let u be v\/20 - 26\/(-195). Let y = -404 - -405. What is the third biggest value in 0, 1\/5, u, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 3 - 5 - -10) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, 9, -1 in decreasing order.\nAnswer: 9, 2, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*a + 45, -3*r - 2*a = -a - 7. Suppose -r*p - 3*f + 7 + 46 = 0, 0 = -4*p + 5*f + 61. Suppose -i = -0*i - p. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33a2519 (base 11) to base 7.\nAnswer: -101360514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/5 (c) -45 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2\/13, 5, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 150 = -10*j. Let f be (4 + 1)*j\/(-25). Suppose -2 = 2*p - f. Calculate the greatest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -5155450?\nAnswer: -5155452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2. Let q(v) = -187*v**2. What is n(q(b))?\nAnswer: -139876*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 900680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 4*q - 28*q - 5*q.\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 10 + f - 25*f**3 + 20 wrt f.\nAnswer: -75*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 28*b**2 + 3*b**4 + 6*b + 30*b**2 - 43 - 11*b to w*b**4 + d*b**2 + l + n*b**3 + s*b and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmb. What is prob of picking 1 m and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4212 - 2958. Calculate the lowest common multiple of 4598 and v.\nAnswer: 13794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 14*a. Let v be y(-5). Suppose -2*k - 1 + 7 = 0. Let o be (-2)\/(-3) + (-2)\/(-6). Sort v, o, k.\nAnswer: o, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f + 1. Let u(h) = 4*h + 24. Let c be u(-5). Suppose -c = -462*t + 460*t. Give n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*(-1)\/2)\/((-1)\/2). What is the common denominator of 55\/8 and (j\/14)\/((-2)\/(-12))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*725\/(-7308) - 6\/8. Sort j, 2\/6499, -4 in decreasing order.\nAnswer: j, 2\/6499, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10*i = 8*i, 2 = 2*y - i. Put y, -5, 0, 3 in decreasing order.\nAnswer: 3, y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 6 = -9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 smaller than 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2. Suppose 4*n + 5*u = -4, 5 = -4*n + 2*u + 29. Let c = 0 + 2. Let z(s) = c*s - 4 + n. Give b(z(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13671 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376676527.\nAnswer: 376676527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4355, -8943, -13533, -18125, -22719?\nAnswer: -27315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 8. Let s be (-7)\/(147\/6) - (j + 1). Put 0.5, s, -1\/3, 4 in descending order.\nAnswer: 4, 0.5, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbexexxeee. What is prob of picking 1 e and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n - 101. Let d be y(10). Let v(z) = 13*z**3 - 2*z**2. Let u(a) = a**2. Give d*v(o) - 2*u(o).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y + 12. Suppose 0 = 2*q - 83 + 87. Let j be n(q). Is -8 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 17*c - 83, 3*c = 460*f - 457*f + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (21 - 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 2. Let c be t(1). Let v = 0 - c. Factor 15*x**3 + 10*x**2 - 2 - v*x**2 - 4*x**2 + 14*x**2 + 3*x + 4*x**4.\nAnswer: (x + 1)**2*(x + 2)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102048616 and 716?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a factor of 114576207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -41 + 37 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 8*u + 232 = 34*d, -d = u - 1 - 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -22\nAnswer: -64\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let r(j) = 2*j - 4. Let v(b) = 2*b - 3. Let l(d) = -d**3 - 5*d**2 + d + 2. Let h be l(-5). Let w(k) = h*r(k) + 4*v(k). Determine w(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 6 = d - 3*z, -4*d - 2*z + 24 = 0. Suppose 3*k - 5*f = -81, d*f + 172 = -5*k + 2*f. Let t(j) = 31*j. Let i be t(-1). Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -21*g**2 - 26*g + 5. Let i(b) = -11*b**2 - 13*b + 3. Let o(s) = 5*i(s) - 3*t(s). What is the second derivative of o(l) wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 11. Let p be v(5). Suppose -4*x + 0*s - 2*s = -14, 0 = -s - p. Solve x*t + 4 = 4*d, -d + 3*t + 1 - 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14776 and 7388?\nAnswer: 14776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100376138101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1659104 at least as big as -1659092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/176*20*8\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.756761um?\nAnswer: 0.0008756761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26912\/31 + 868. Let h(m) = -m**3 + 14*m**2 + m - 12. Let n be h(14). Suppose -9*u = 2 - n. Is c at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 104, 184, 302, 464, 676, 944, 1274?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 21. Let p = -29 + 36. Let n be j(p). Let m = n + 47. Solve m*x + 2 = 3*a, 12 = 5*x - x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 6)*(12\/(-6))\/16*-132972?\nAnswer: 2, 3, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + p**2 - 1)*(185 - 185 - 28*p).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.80455 micrometers in nanometers?\nAnswer: 86804.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*w, 5*w - x = -5*x. Let q = -9 - w. Let b be q\/(-6) + (-2)\/(-4). Solve b*s = d, -4*d + 0*s = -2*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -75, -163, -251, -339, -427, -515?\n\"Answer: -88*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622670.\nAnswer: 2, 3, 5, 7, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -87*z + 1299. What is a(16)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -333*c**3 + c**2 + 2. Let k be r(-2). Suppose -a = -4*h + 2*a + 3539, -3*a + k = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*x**2 - 56*x + 1.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/(-5) - 153\/(-15) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -25607\nAnswer: 11\/25607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41738092 and 15177488?\nAnswer: 166952368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w + 4. Let o(q) = 5 + 4 - 4 - 8*q. Suppose -5*x = 6*g - 2*g - 51, -3*g - 9 = -3*x. Give x*v(s) - 6*o(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1211121121?\nAnswer: 1211121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfxbbbbfmxxmkkxbxk. Give prob of picking 1 m and 2 x.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**3 + 2*o**2. Let k(x) = -x**3 - x**2 + 3 - 3. Suppose 0 = y + w - 24 + 29, -11 = -5*y + w. Determine y*f(j) + 2*k(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1011 = 3*x, -24 + 4 = -4*x. Let a = i + 251. Solve -4 - 2 = -a*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2 - 8 - 4*f + 8 + f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*k - 2*k**2 - 32*k)*(-3*k + 2*k - k) + (2*k**2 - k**2 - 4*k**2)*(3*k + 3*k + 4*k) to the form n*k + b*k**2 + w*k**3 + u and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 58259?\nAnswer: 58269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:18 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + 2*o**3 - 6*o**3 + (-7*o + 22 - 22)*(-o**2 - 8*o**2 + 3*o**2) - o**3 - 5*o**3 + 4*o**3 to d*o**3 + u + q*o**2 + z*o and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1020751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0 + 0)*(0 + 0 + 2) + (1 - 1 - 2*p**2)*(-1 + 5 - 1) + 1 - 1 + 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1955934?\nAnswer: -1955934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1605*w**6 + 1602*w**6 + 0*w**4 + 10*w**4 - 70*w**2 wrt w.\nAnswer: -360*w**3 + 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5f6 (base 16) to base 14.\nAnswer: -7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/(-48))\/((-3160)\/(-6083) + (-9)\/21 + 0)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1917106 + 0?\nAnswer: -1917106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = 80. Let s be (-2)\/(d\/12 - 2). Sort -3, -1, s in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - -10.23. Let f = 9.5 - w. Which is the closest to -2? (a) -2 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4200) + sqrt(4200) + sqrt(42))\/(5*sqrt(96)))**2.\nAnswer: 3087\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/z**(2\/13))\/z)\/z**(1\/5))\/((z\/(z\/(z*z\/z**(-3\/8)))*z)\/z*z**(1\/7)) assuming z is positive.\nAnswer: z**(-3173\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) 1 (c) 1\/4 (d) -2 (e) -52892\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192340.\nAnswer: 2, 3, 5, 61, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100.1 - 100.02. Which is the second smallest value? (a) 34 (b) 2\/7 (c) -0.2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -16. Let f = 17 - l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let r(p) = -9*p + 2. What is -r(k) + 6*s(k)?\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 156490 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -24*z + 15655. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.4. Let b = 0 - 0.1. Sort b, -1\/6, d in ascending order.\nAnswer: -1\/6, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2619*y + 2601*y = -4644. Are y and 252 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -3*j + 4*p, 5*j = -4*p + 18. Suppose 5*k + j*r = 4, -2*k - 5*r = -4*k + 19. Solve -9 = k*z - 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87968033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -27*h + 1. Suppose 7*a + 43 + 27 = 0. Let l be (-4)\/(-3) - (62\/6 + a). Determine s(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7, t: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 1. Let y(k) = 7*k + 6. Let i(l) = 4*w(l) + y(l). Let a be (9\/5)\/((-3)\/(-10)). Give i(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 2*sqrt(19)*5 + sqrt(19))*5)**2*-1 - (sqrt(228) - (-3*-1*sqrt(228) + sqrt(228)))\/(1*sqrt(60)\/sqrt(5) + sqrt(12)).\nAnswer: -68400 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2674*j**4 + 2*j**3 + 20*j**2 - 9*j. Let d(a) = -a**4 + a**3 + 2*a**2 - 2*a. Let k(p) = 2*d(p) - g(p). What is the third derivative of k(u) wrt u?\nAnswer: 64128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1243.999999522 + -1244. What is b rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*l**2 - 21*l**3 - 1 - 8*l**3 + 31*l**3 - 166*l**2 in the form x*l**3 + b*l**2 + u*l + r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:58 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27812.64 times 9?\nAnswer: -250313.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and -1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 80. What is the remainder when 4\/10 - 23\/(-5) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 18*u**4 - 21*u**4 - 4 - u**3 + 2*u**2 + 4 as v*u**4 + j*u**3 + x + g*u + y*u**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 17286?\nAnswer: -5\/17286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.5 and 95205.2685?\nAnswer: 95203.7685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782727 is divided by 35577.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + w - 2*w - 4, -r - 22 = -5*w. Let h(u) = 0*u + r*u - 5*u. Let n(a) = -5 + 5 + 2*a. Calculate h(n(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 723 + 296 + 8*k**2 - 5*k**3 + 2*k**3 - 21*k**2 - 66 with respect to k.\nAnswer: -9*k**2 - 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + -140. Let f be -1 + 1 + (-249)\/(-180). Let b = f - 5\/4. What is the nearest to l in b, 5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 34*v**3 - 7*v**3 - 24*v**3 + 44*v to the form o*v + w*v**3 + a*v**2 + u and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2771, 643, 1, -2 in increasing order.\nAnswer: -2, 1, 643, 2771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11220300321 (base 4) to base 14\nAnswer: 2a6733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 399?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 4. Suppose 8*o - 7*o - d = 0, 0 = 2*d + 2. Let h(a) = 2 - 4 + 1. Determine o*z(g) - 4*h(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2, -12655 in increasing order.\nAnswer: -12655, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4251*v**2 + v**3 - 4247*v**2 + 8498*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406 - -609. What are the prime factors of v?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 58*a - 61*a - 3*a**2 - 2 + 4*a**2. Let z(c) = c**3 + 4*c**2 - 13*c - 9. Suppose 4*r = -3*p - 0*r + 31, -10 = -p - r. Calculate p*l(o) - 2*z(o).\nAnswer: -2*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(63))\/sqrt(10) + -5.\nAnswer: -5 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/19, 1.2, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((4 - 4) + -1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3045\/196)\/(-29))\/(730\/1533)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4925710 and 67785.\nAnswer: 14777130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.9 + 43. Let n = -3 + y. Let r = 6 + -8. Which is the third smallest value? (a) n (b) r (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*h + 9*h + 135 = 0, 0 = -h. Suppose 3*a - b = -0*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 - (-4 + 1 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -9 - (-11 + 27) - 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 + 16088*k\/13 + 192768\/13.\nAnswer: 2*(k + 12)*(k + 8032)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1 + 10*g**2 + 15*g**2 - 26*g**2. Let d(n) = -4*n**2 - 2*n + 2. Calculate -3*a(s) + d(s).\nAnswer: -s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4194 - -4230. What is the smallest common multiple of (-552)\/(-28) - (-4)\/14 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240038 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1229 - -13521\/11. Let g = 402\/5 - 81. What is the closest to g in 4, a, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 8*y**2 - 9*y + 1. Let f be z(9). Let i be (-68)\/10 + f\/(-5). Let u = i - -74. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300503978 smaller than 300503980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2175272*m**2 - 2736538*m?\nAnswer: -4350544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 296, 590, 884?\n\"Answer: 294*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/30 - 19*v**4\/24 + v**3\/2 - 7*v**2. What is the tens digit of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2123+0.24\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 362*m**2 - 232*m + 282. What is n(-120)?\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97298\/53 - -1836. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 9. Suppose 2*l = -0*j + t*j + 17, -4*l + 4*j = -28. What is the remainder when 10 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than 38239909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11978*w**3 + 3*w - 9. Suppose 7*q = -10 - 46. Let r be c(q). Let h = r - -3822769. Round h to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n + 2. Let u(k) = 3*k**2 + 2*k - 5. Let d(y) = 5*t(y) + 2*u(y). Calculate the least common multiple of d(3) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 1\/7 (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v**2. Let k(j) = -10*j. Give d(k(q)).\nAnswer: 1000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -130*f + 129*f. Let w = 2.7 + 9.3. Let g = 12 - w. Which is the second biggest value? (a) f (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11250.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1\/9 (b) 5 (c) -5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*s - 2*s - 187, -b + 3*s = 187. Let v be (-40)\/(-22) - 34\/b. Let w be (1\/v)\/((-5)\/1810). What is w rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9c4a7 (base 14) to base 15\nAnswer: -7771d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/((-1)\/15). Let s = 9 - u. Let d be 2\/(-1) + (-8 - -10). Sort 5, d, s in descending order.\nAnswer: 5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or -23921\/117?\nAnswer: -23921\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102111 - -43?\nAnswer: 102154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 437844213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1576270108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 494 divided by -494\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98721\/16 + -6175. Let s be (-1)\/5 - (-40944)\/(-80). Calculate the common denominator of 2*300\/s*4 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r + 3*r + 0*r to u + q*r and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -858, -3145, -6934, -12231, -19042, -27373?\nAnswer: -37230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 - 6*s - 3. Let t = -7 - -3. Determine v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**3 + 186148*u**2 + 845833 with respect to u.\nAnswer: 9*u**2 + 372296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46, 92, 170, 280, 422, 596, 802?\n\"Answer: 16*b**2 - 2*b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-1\/8)*b)\/b*b*b*b**(-4))**(-5) assuming b is positive.\nAnswer: b**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 - 80. Let l = -69 + r. Solve -t + 5*t - 36 = 4*m, -l*m - 8 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/9, 0.13, -0.35, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 157, -2 in descending order.\nAnswer: 157, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 4 - 1 + 4 + 14 + 46*b**2.\nAnswer: 46*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58261, 58258, 58255, 58252, 58249?\nAnswer: 58246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 29*u + 4801. What is y(-165)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -59*l**3 + 53*l**2 - 2*l. Let q(o) = 20*o**3 - 18*o**2 + o. Let f be (-30)\/(-45) + 274\/3. Let j = f - 100. Let c(y) = j*q(y) - 3*t(y). Factor c(k).\nAnswer: k*(k - 1)*(17*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 4, s: 1, h: 1, c: 6}. What is prob of picking 1 s and 3 c?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-38400)\/(-9) + 4)*6. Let i = -8177 - -2553. Let z = i + x. What is z rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 4 = 0. Suppose 0 = 5*t + 6 - 46. Suppose -t = -3*j - j. Solve 0 = -j*b - 3 + f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*k + 8*w + 70, 3*k + 2 = 4*w + 1 + 3 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = -1. Suppose -1693 = -b*u - 3*v, 0*v = -u - 4*v + 325. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144176.\nAnswer: 2, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -3\/5, 1, 1\/9, 5, -1\/279?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + 3.08. Let q = -16.34 - -16. Let j = 0.84 + q. Which is the nearest to 1\/5? (a) y (b) 2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-12\/7)*r*r))\/r**(-9))\/(r**12*(r\/((r\/r**0)\/r))\/r*r) assuming r is positive.\nAnswer: r**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/5078 - 25307\/421474. Calculate the common denominator of p and 9\/10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -40. Calculate the lowest common multiple of g and 11.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 2\/3 (b) 0.68 (c) -375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 111 - 1. Let q(v) = 19*v**2 + k*v**3 + 25*v**2 - v - 43*v**2. What is the units digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 25. Determine l(-13).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.3 - -31. Let s = 14 + -13. Let r = -3 + 2.5. What is the nearest to -2 in r, i, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191575957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1325.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-1)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428 - -432. Let t be (2304\/16)\/(r + -2). Calculate the highest common divisor of 468 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*-15*(-4)\/5. Suppose -5*f = -7 - 3. Suppose -2*p = 2*h - 4, 3*p + f*h - 5 = 3. Solve -s*k + p = -2*j - 0, 0 = 3*j + 2*k + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18640)\/1398*18\/8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 - ((-5 - -3) + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -8667, 4, 6, 0.\nAnswer: -8667, -3, -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 563 + -523. Calculate the highest common divisor of d and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 214132, 428282, 642432, 856582, 1070732?\n\"Answer: 214150*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:37 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204204 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2289690 and 8398.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -2*s - 16, 4*u + 12 = -4*s. Let p = -1 - u. Let m be p - (2 + -4) - -8. What is the highest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48202, -2, -9, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 11*q + 645. What is the remainder when 174 is divided by t(-31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3045)\/5800*(-40)\/6.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 870*u**3 + 555*u**2.\nAnswer: 5220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 66 = -3*v + 14*d - 132, 4*d = 3*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -421806 (base 10) in base 5?\nAnswer: -101444211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/14)\/(4\/28). Let x = q + -17. 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 the tens digit of 7106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*t - 2*x, x = -5*t + 2*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2741, 0.1, 1.03, 5, -3 in descending order.\nAnswer: 2741, 5, 1.03, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.524 + 5.924. What is the closest to 6 in t, -0.4, -3\/2, -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/37 and 35\/888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/21 + -26\/105. What is the nearest to -1 in -1\/2, 0, c, -21\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*i**2 - 1608*i**2 + 292*i**2 + 65*i**2.\nAnswer: -2560*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y - s - 43, 4*s - 44 = -2*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 0*b + 0*b)*(7*b + 2*b - 8*b)*(b - 3 + 3)*(1 - 1 + 2) in the form l + k*b + o*b**3 + v*b**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 394 - -1514. Let a = -1907.99227 + c. Round a to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 54*c**2 + 291*c + 12637. What is p(-53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 907263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4951 + d68?\nAnswer: 57b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*m = -267 - 265, 527 = 4*s - 3*m. Let d(q) = -71*q - 271. Calculate the remainder when s is divided by d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*i = -9, -3*t - 8032*i + 8028*i + 1 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 + 2 = 0. Suppose d + 5*j = -11, -4*d = 3*j + 2 - 9. Let r be (d - 2)\/(2\/4). Put y, r, -2 in ascending order.\nAnswer: -2, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 658*p - 2254. Calculate w(3).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 g when three letters picked without replacement from ggbggrgzjbbgggaagz?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1354 + -479?\nAnswer: ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 7*h**2 + 9*h - 3. Let z be a(8). Suppose 4*o - 4*m = 3*o + 29, -z*m = -20. Suppose 26*s = 31*s - o. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + m - 6*m. Let t(w) = 1280*w + 520. Let k(l) = -5*l - 2. Let p(s) = -520*k(s) - 2*t(s). What is p(f(h))?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 11*t - 577. Give q(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33540378.\nAnswer: 2, 3, 41, 136343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*x = 5, 2*j + 4*x = 3 - 1. Suppose -3*i + 8*i = -j*y - 25, -5 = -5*i. Let k(o) = o + 3. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1296 and 2187?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, -7, 2, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*(3 - (-16)\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 1 + (-37 - 19) - 122\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**(-42)\/(q\/q**(-1)*q)**(-2\/21) assuming q is positive.\nAnswer: q**(-566\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let p be q(5). Is (p - 5)\/(2\/(-422)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 186 - 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 10*s = 4*v + 31, 0 = -s + 4*v + 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7208956393 + -7\nAnswer: -7208956400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*u = -0*a + 30, -2*a + 4*u + 854 - 818 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -3*c**5\/20 + c**4 - 13*c**2. What is the second derivative of f(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}