diff --git "a/data/dm_maths/full_data_1/11185_11255.jsonl" "b/data/dm_maths/full_data_1/11185_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11185_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 2*j**2*q**3 + 3*j**2*q - 16*j*q**3*y + 767*j*q**3 - 5*j*q**2*y - j*q*y - 3250*q**2 wrt q?\nAnswer: 12*j**2 - 96*j*y + 4602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 80 = 13*u. Suppose 3*f + 4*c - 18 = -2*f, 2*c = -3*f + u. Solve -f*s = s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 7, -25\/6 in decreasing order.\nAnswer: 7, 1\/5, -25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246335 - 246335. Let m be -1*1*(-1 - 2). Solve 4*d - 1 - m = x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 2 i when four letters picked without replacement from {v: 2, q: 3, f: 5, i: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 3*o**2)*(1 - 2 + 2 + 6 - 2 - 2 + (-3 - 2 + 3)*(-3 + 4 + 0) - 1 - 3 + 3 + 3 - 7 + 3 + 14 - 2 + 11 - 2 - 1 + 0).\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*f + 32*f = 1720. Let l = -14 + 71. Suppose -i - l = -2*i. What is the remainder when i is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6715)\/(-204) + 3\/36?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*b**3 + 0*b - 50*b**3 + 14*b + 2148*b**3 - 9*b.\nAnswer: 2567*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*(-3)\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 7, 623, -10, 4, 0.\nAnswer: -46, -10, 0, 4, 7, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - (-32142392684)\/96427178268. Let s = 1321381801866589\/92730803101060 + v. Let k = s - -1\/2885. Find the common denominator of k and -35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 - (-13 + (-2 - -3 - -4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - z + 8. Let p be (-6)\/(-2 + (-1)\/(-2)). Suppose 5*i + 27 = 3*u, 2*u - 14 = 2*i + p*u. What is the tens digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w - 1. Let k(j) = 11*j + 3. Let p(u) = -4*k(u) - 9*r(u). Let a be (8\/6)\/(36\/4590). Let x be 34\/a - 1\/5. Calculate p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1067014, -1067018, -1067024, -1067032, -1067042, -1067054?\n\"Answer: -x**2 - x - 1067012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*c - 2*l, -c - c + 31 = 3*l. What is the tens digit of c - (-1 + 3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -36a1?\nAnswer: -369a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - d - 2*d, 2*r = 4*d + 14. Suppose 45 = 5*i - 8*i. What is the units digit of (r\/(-2))\/(i\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 30*y**2 + 12*y**2 - 32 - 11*y**2 + 16 to g*y + h + l*y**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 2*n - 2*n)*(-1 + 1 + n) + 8*n - 213*n**2 - 2*n + 207*n**2 - 2*n**2 + 7 + 1 + 4 to q*n**2 + a*n + s and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.7276 kilograms to micrograms.\nAnswer: 332727600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 17. Suppose -5*k + 2*m - 6*m + 455 = 0, -5*k + 500 = -5*m. What is the remainder when k is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*10\/(-3)*18\/(-75). Let q = -6 + 10. Suppose 0 = -3*f + 2*f + q. Solve -3*d + f*b = -b + p, 5*b - 16 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1050344514 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + n**4 + (-1 - n + 1)*(-5442 - 973*n**3 + 5442) in the form o + x*n**3 + s*n + k*n**4 + u*n**2 and give k.\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12900473.\nAnswer: 43, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-905)\/(-20)*2*2. Let o = -152 + n. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 82653418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -4 (c) 2519 (d) 316 (e) -2\/9 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (97 - -5) + 3*1 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Suppose 8 = -n*z + 28. Solve w + p = -3, -3*w - 18 = -z*w + 4*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 1, s: 2}. What is prob of sequence stzs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95384?\nAnswer: 2, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:43 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 324, 494, 694, 924, 1184?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 283, 318, -5, 0.3, 2\/17, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.083 or -0.391?\nAnswer: -0.391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.46139 centuries to decades.\nAnswer: 94.6139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*c + 1740, -4*c + 0*c = 2*m + 696. Let l be m\/1*(-8)\/16. Suppose -z - 2*z = -l. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 59\/15 + -4 + 28\/42. Let l be ((-3)\/(-4))\/((-3)\/48). Put -0.1, l, r in increasing order.\nAnswer: l, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = -5, 3*r - 2*l = 0. Let h = r + -3. Let m(q) = 2*q - 120*q**2 - 3*q + 125*q**2 + q**3 - 6. Calculate m(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 9*u - 14. Suppose b = 2*f - 5*f + 36, 2*f + 64 = 2*b. Suppose 28*k = b*k - 55. Determine o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 12. Sort -1, g, 1 in descending order.\nAnswer: 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 divided by -1?\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 15*y + 14 - 25 + 15*y + 22.\nAnswer: 4*y**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3*(-2)\/(-1). Suppose -o*x = -1240 + 354. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4 - 11148*y**3 - 1906658*y**2 - 67047708*y + 1218309001 = 0.\nAnswer: -91, 13, 11317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3652473105.\nAnswer: 3, 5, 43, 521, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/10 + 3 + 2. Let r(n) be the first derivative of 5*n**2\/2 - 2. Let t be r(-1). Which is the third biggest value? (a) t (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -559\/74 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1624 - -3485. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*t - 24 - 0, 5*m + 2*t - 18 = 0. Let k(i) be the second derivative of 0*i**3 + 1\/80*i**5 + 0 + 0*i**2 + m*i + 1\/24*i**4. Factor k(d).\nAnswer: d**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18022843.6 + -3705.7?\nAnswer: 18019137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 113*v**2 + 4859*v + 27. Determine t(-43).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 1, -11 in decreasing order.\nAnswer: 1, -5, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 40. Suppose 3*l - 760 = -643. Which is greater: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.7, -0.5 in ascending order.\nAnswer: -0.7, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/27, -3\/11, 0, -4, 2\/13 in increasing order.\nAnswer: -4, -3\/11, 0, 1\/27, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -257, -1, -67 in increasing order.\nAnswer: -257, -67, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/18261 - -6089\/36522. Let i = -0.58 + 0.08. What is the nearest to 1 in 3\/4, i, 4, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 51010.\nAnswer: 51009.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 70*k**2 - 786*k - 2365. Give d(55).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -196 in descending order.\nAnswer: 5, 0, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 18. Let u be x(6). Let c(d) be the third derivative of -d**6\/120 - 11*d**5\/60 - d**4\/24 - 7*d**3\/6 + 2*d**2. Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 101 + 37 + -146.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.686642l?\nAnswer: 2686.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - (-148)\/84)*(-15)\/(-170) and 9\/70?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043 + 6\/(-2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20307 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 17*f**5\/5 + f**4\/12 - 4*f**3\/3 - 5231*f**2 - 5401*f. What is the derivative of a(o) wrt o?\nAnswer: 204*o**2 + 2*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1. Let s(b) be the second derivative of b**3\/6 - 3*b**2 + 17*b - 2. What is s(t) + 6*v(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24134\/265 + 396\/53. Let d = l - -83. Which is the biggest value? (a) 4 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2407.\nAnswer: -2\/2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 4:55 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.075, -5, 2, -69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 + 834*y - 14. Let d(t) = -6*t. Determine d(o(c)).\nAnswer: -66*c**2 - 5004*c + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5 = 5*b, -6598632*b + 130*l + 902 = -6598633*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11289*a + 698674 + 385070 = 0 for a.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*m + m = -12, -6 = p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 31*g + 50. What is c(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, q: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 3832 = -506. Suppose -3*j + 1239 = -g - a, -5*g = -2*j + 1156. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3854 * -0.2\nAnswer: -770.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43378 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10884.126 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*m - 1350 = -4490 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/7 and (-8 - 252\/(-30))*113\/28?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24118*y**2 - 128548936*y\/5 + 4264\/5 = 0 for y.\nAnswer: -1066, 2\/60295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*-1*36\/(-42). Is (-15)\/v*(-16)\/5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 700*u + 13377. Give d(19).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - s**3 + 1 - 3 + 0*s**2 + 3 to the form i*s + x + n*s**2 + v*s**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5096 is divided by 999.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5668 + -2495. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -35*b**3\/6 + 7*b**2\/2 + 2*b + 113. Let x(f) = 17*f - 3. Calculate 2*m(y) + 5*x(y).\nAnswer: 15*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 2*u**2 - 1. Let y be t(-1). Let w be 3 - ((-312)\/2)\/2. Suppose y*x - w - 21 = 0. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19444, -71683, -158756, -280669, -437428, -629039, -855508, -1116841?\nAnswer: -1413044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10101100001110111?\nAnswer: -10101100001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*o - 5*f - 408, 2*f = -3*o + 586. Let u = -120 + o. Let t be 48\/64 - 626\/(-8). Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 20 + 24 - 44 + 16*m. Let h(c) = 3*c + 14. Let g be h(-5). Give n(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-2\/61)*q**7\/q**(1\/11))\/((((q*q**(-6\/7)*q*q*q)\/q)\/q**(-1\/3))\/(q**1*q)**12) assuming q is positive.\nAnswer: q**(6568\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21974 is divided by 5469?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -2)\/(-27) + ((-249844)\/(-36) - -28). Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**4 + 0*a**3 + 0*a**3)*(-2 + 1 + 0)*(-6 - 20 + 10) in the form t*a**4 + v*a**3 + c + z*a**2 + p*a and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2525 + -2524. What is the biggest value in -5, r, -1\/8, 2\/53?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-52)\/(-4))\/(1 - 0\/(-17)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -744, -2902, -6560, -11772, -18592, -27074?\nAnswer: -37272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 129c (base 14) to base 5\nAnswer: 101044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 - 7*z**2 - 5*z + 24. Let r(l) = -l**3 - l**2 + l. Let c(q) = -g(q) - 4*r(q). What is the units digit of c(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/57))**(2\/3)\/(f\/f**(12\/11))**(-1) assuming f is positive.\nAnswer: f**(-127\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - j. Suppose 56 = -4*z + 48. Let p be t(z). Solve -2*i = p - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9. Let r be (-3 + 4)*(0 - h). Let l be (16 + -9)*r\/(1 - 2). Let v(z) = -z**2 + 7*z - 3. Calculate v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 28. Let f = w + -7. Suppose 4*i - f = -2. Which is the nearest to 0.1? (a) -4 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) 2 (d) -2 (e) 551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 55 = -19. Let p = -35 - q. Is p less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 5. Suppose -c - 45 = 2*c. Let u be (c\/6)\/(4\/(-8)). Give j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/67, -1, 7, -147\/5, -13.\nAnswer: -147\/5, -13, -1, 1\/67, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*v**2 + 1721*v**2 - 845*v**2 - 8 - 7.\nAnswer: 40*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7801\/4 + -1950. Let v be (-5)\/(-4)*1\/(-5). What is the nearest to j in 0.2, 1, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 2*b**6\/3 + 16*b**2 + 26*b. What is the derivative of s(u) wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -7. Suppose 2*q + 2*k = 7693 - 7665, 0 = 3*q + 5*k - 40. Calculate the least common multiple of q and ((-4)\/f)\/((-2)\/(-18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 210\/6) + (0 - -2). Let w = 32 + b. Let p be 2\/(-7) + 37\/7. Solve p*o - w = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/14)\/((-4)\/28). Let q(u) = u**3 + 7*u**2 + 6. Let h be q(f). What is the highest common factor of 56 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(36) + sqrt(108)\/(sqrt(3)*2))\/sqrt(9))\/(-6*sqrt(8) + (-2*sqrt(12))\/sqrt(6)).\nAnswer: -1 - 3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3770 divided by 377\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004033864 to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(637) + 2 - (-5*sqrt(637) + -4) - (sqrt(637) + 4 + -5 - (-3 + sqrt(637)*-1)).\nAnswer: 1 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52660 - 37768. Calculate the highest common divisor of 816 and a.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83805?\nAnswer: 3, 5, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(1584\/363)*(-4)\/(-22)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 77 - 7*p + 28*p - 28*p + 28*p. Give c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -14. Calculate the least common multiple of 2\/5 - (-16)\/10 and (-30)\/(3 + (-45)\/w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297158 and 8?\nAnswer: 1188632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (17 - 6) + -45?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -194 (c) -438 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7*b + 5. Let j be v(-6). Let u = j - 0. List the prime factors of 0 + u\/(2\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 2*y - 310*y**2.\nAnswer: -310*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7150, -14268, -21396, -28540, -35706?\n\"Answer: -x**3 + x**2 - 7114*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 4*g + 23 + 3 = -10*k, 6*k - 2*g = 10 - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05808 - -0.55808. Which is the smallest value? (a) p (b) 1\/1165 (c) -5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.065, 2, -3\/2, 1, -0.1 in decreasing order.\nAnswer: 2, 1, 0.065, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 + 700*v**4 + 7304*v**3 + 17672*v**2 + 16252*v + 5180 = 0. What is v?\nAnswer: -7, -1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/4 at least as big as -4669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 54*x + 11649. What is a(-218)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + 0*a**4 - 4*a**4)*(446 - 2656 - 10 - 4746).\nAnswer: 6966*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 7\/5 (c) 5275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 41*a - 27. Let x be c(11). Suppose 408 = 4*s + 5*y, 3*s - 5*y - x = -118. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -0.1. Let j = 101 + -149. Let x = j + 193\/4. Which is the biggest value? (a) z (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 438 + 617 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(36750\/70)*(-290)\/(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3063*c + 133 = 3062*c + 3*x, 5*c + 2*x = -36 + 119 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 48.39, -7, -0.17, -2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 - 110 + 897)*(-1 - h**4 + 1) as y*h + j*h**2 + l*h**3 + z + i*h**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 38*h = 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.5, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 - 103*i**2 - 208*i - 6079. What is u(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3)*2\/8*2. What is the units digit of r*(0 + -1) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 - 195.37. Let z = 0.23 - l. Is z less than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3\/4, -0.0118, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 808*i**2 - 166*i + 1. What is the thousands digit of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*k + 3, s + 29 = 3*k. Let x = -16 - s. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 152, -5, -428.\nAnswer: -428, -5, 19, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-65 + 65 + 9*j)*(-3 + 5 - 3) + (-1 + j + 1)*(-1 - 3 + 7))*(31*j - 25*j + j**4 - 24*j**2 - 5*j).\nAnswer: -6*j**5 + 144*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 16) in base 7?\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 11. Let m be q\/(15\/2)*-15. Solve x + m = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 16. Suppose 3*o - n - 4 = 0, 2*o - 2*n + 10 = v*o. Suppose 3*x - 21 = -o*w + 5*w, -w + 8 = 2*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19564223 to the nearest integer?\nAnswer: 4423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*q - 2*q - 2 = 0, -5*q = -5*w + 50. Suppose r = -r + w. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -18. Suppose -k*i + 4*s = -122, 0*i = -i - s + 43. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*w = 567, 2*z + 612 = -2*z + 4*w. Let b = z - -228. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160551 + 10104?\nAnswer: -150444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 12*q - 8. Suppose 1140 = 62*s - 57*s. Suppose 3*l = -207 + s. What is h(l)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txt. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - -1?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = -0, -73 = 3*s - 2*g. Let u be (10\/12)\/(s\/(-324)). Solve 0 = -4*t - u + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + -3 + 11)*0. Let n(q) be the second derivative of 1\/5*q**6 + 0*q**3 - 3\/2*q**2 + 12*q + 0 + t*q**4 + 0*q**5. Differentiate n(j) with respect to j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9509689cm?\nAnswer: 0.009509689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x - 63*x - b + 3 = 0, 0 = -4*b - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2829216 and 4212?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3 + 1 - 3*m - 4*m. Let z be -4 + 18 + (30 - 39). Let x(j) = j - 1. Determine z*x(y) + t(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7484011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4778183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 11, x: 1}. What is prob of picking 2 f?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 150 in ascending order.\nAnswer: 3, 4, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 60. Calculate j(55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -0.16, 5 in decreasing order.\nAnswer: 5, -0.12, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.1182688 and -3?\nAnswer: -84.3548064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -9, -200, 1 in descending order.\nAnswer: 11, 1, -9, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 5, s: 2, n: 1, e: 5, b: 2}. Give prob of sequence zbb.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42875*c**4\/2 + 474075*c**3\/2 + 1156785*c**2 + 1617682*c + 730020.\nAnswer: -(c - 15)*(35*c + 46)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/36 - ((-1365)\/228)\/13.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybyyyalbbybbyby. Give prob of sequence aby.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311 - -525. Let k be b\/14 + 6\/(-21). Suppose 13*y = 18*y - k. Solve -5*j + 16 = y*p, -4*p - 2 = -p - 4*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 30*h = -27*h + 13, 4*j = -4*h - 4. Suppose 5*l = q - 10, 3*l + 2 = j*q - q. Suppose -4*i + n - 64 = -3*n, 8 = -3*i - 5*n. Are q and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 8121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 4, 3*s - 4*j - 11 = 0. Let x = s - 2. Let b be 49\/28 + 3\/(-3096)*1790. Is x greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 6)*(2*s - 2*s - s**2) - 2*s**2 + 3*s**2 - 2*s**2)*(-1 + 1 + 2).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -100110011011 (base 2) to base 16\nAnswer: -99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -384.7 + 384.6. Which is the nearest to y? (a) 0.3 (b) 35 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l**3 - 826*l**2 + 898*l - 660. Calculate z(74).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16254 divided by -1161?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27458 = -14*g + 9082. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10001011001001100000011000?\nAnswer: -10001011001001100000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2323 in -9, -1, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/4 + -2. Suppose -5*u = -5*a + 25, -2*a + 4*u - 4 = -4*a. What is the closest to -1\/4 in -2\/17, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*n**4 - 4*j**2*n**3 + j**2 + 2*n**5 + 6*n**2 wrt n.\nAnswer: 24*j**2*n - 24*j**2 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.8 and 0.058.\nAnswer: -3.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 + 2*p - 1. Let b(n) = -1071*n**2 + 36*n - 1059. Let g(x) = -b(x) + 18*i(x). What is the derivative of g(h) wrt h?\nAnswer: 2322*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 13.3. Suppose 0 = -5*s - 4 - 21. What is the closest to -0.04 in s, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 11*o - 136. Let q be r(19). Let v = q + -281. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/7 + 44*o\/7 - 46\/7 = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - w - 42689 - 37658 = 0, -2*w = -14. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6304*u**5 + 20699*u.\nAnswer: -126080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 118. Suppose 4*k + 0*j - 64 = 5*j, b*j - 8 = 0. Is k != 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:39 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let w = -33 - -57. Let s be (w\/10 + -3)*-5. Let c(f) = 5*f**2 - 3*f**2 - s*f**2. What is c(x(y))?\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.02, -2\/3, -13, -29, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10 and -13\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 583.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213974469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23797979*p**5 - 134906230*p**2 wrt p?\nAnswer: -1427878740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + 28 + -4 + -65.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n. Let f be v(1). Let j = 61259 - 61258.6. Which is the third smallest value? (a) j (b) 4 (c) 3\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 3*x - 8*x**3 - 116 + 61 as n + u*x**2 + l*x**3 + o*x and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247 - 240.03. Let c = 7 - n. Let j = c + 0.47. Put -1, 2\/13, j in descending order.\nAnswer: j, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*t + 5*p, -5*t + 2*p - 2 + 46 = 0. What is the highest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -312*b*r**3*w**3 - 2*b*r*w**3 + 4*b*r*w**2 + b*w**2 - 9*r**3*w**2 wrt w.\nAnswer: -1872*b*r**3 - 12*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7)*(17 - 10). Let v(m) be the third derivative of g*m**2 - 1\/240*m**5 + 0*m + 0 + 1\/24*m**3 + 0*m**4. Suppose v(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p, 2*l + 3*p = 478. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 8. Let q = 3.1 + b. Let v = q - -0.9. What is the third biggest value in 0, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 175 + 365. Suppose f = 6*y - 2*y. Suppose 0 = j - y - 13. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/7650 and -37\/28?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {h: 2, m: 1, f: 1, e: 2, c: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 297*p - 26 = 293*p, 2*p - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -8, 1766 in descending order.\nAnswer: 1766, -8, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.1 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 109590 = -3663*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h**4 + 2*h**3 - 2*h**3 + (75 - 75 + 2*h)*(-2*h**3 + 3*h**3 - 3*h**3).\nAnswer: -3*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*u**2 + 52*u**2 - 22*u**2 + 3*u to v*u**2 + n + l*u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.8991l to millilitres.\nAnswer: 870899.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 17 = g, -2*g - 77*z + 30 = -82*z for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 10\/85 - (90\/170)\/(1\/(-149)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*5*sqrt(11) + sqrt(539) + -1 - ((sqrt(539) - (sqrt(539) - 3*(-3 + sqrt(539))))**2 + sqrt(539))*-6).\nAnswer: -8836*sqrt(11) + 118364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 8. Let u be -6*(-4 + 14\/4). Let s be g(u). What is the second derivative of -181*k - 17*k**5 + 194*k + s*k**5 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (2 - (0 - 1)). Let z = 3 + t. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7053*g**2 - 10*g + 2457*g**2 + 4594*g**2.\nAnswer: -2*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, x: 5}. Give prob of picking 2 l.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + 11063\/333. Calculate the smallest common multiple of (t + 4 + -2)*(-138)\/(-161) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3. Let u(i) = -i. Suppose 5*c = c + 4. Suppose 0 = -3260*j + 3213*j - 47. What is c*u(a) + j*l(a)?\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49 + -0.01. Which is the biggest value? (a) -1 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -4*d - 25*b + 27*b, -5*d - 2*b = -156. Solve d*z - 8 = -8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n. Let d = 22 - 25. Let g(t) = 3*t + 305 - 305. Let u(b) = d*g(b) - 4*h(b). Let p(s) = -4*s. Give p(u(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70558 by 51.\nAnswer: -70558\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 187, 266, 325, 358, 359, 322, 241?\n\"Answer: -y**3 - y**2 + 103*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0.05857\nAnswer: 4.05857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41768689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.7 - 542.3. Let y = n + 685. Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4364440 and -9\/280?\nAnswer: 30551080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + o - 6*o - o + 1 as z*o + j and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 72\/13 (c) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Suppose 2939*q - 2927*q = 0. What is the nearest to q in -2, 6\/5, m?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -80*r**3 + 3*r**2 + 3*r - 1. Let w(s) = -159*s**3 + 5*s**2 + 5*s - 2. What is -5*g(p) + 3*w(p)?\nAnswer: -77*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 13*n = -31, -4*r + 19 = -6*r - 5*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 - 34. Suppose l + 4*s - w = -0*l, -2*s = -2*l + 582. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(405)*-6 - -2*(sqrt(405) - -1*sqrt(405)))\/(-5*(sqrt(90) - (sqrt(90) - sqrt(90)*-2 - sqrt(90)) - sqrt(90))\/sqrt(10)*1) + 0)**2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010122 - -11000?\nAnswer: -10222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 9*j - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5703245 is divided by 1901062?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9626.\nAnswer: 2, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1202 - 4?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311 is divided by 663.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from rjmjrjjwwr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = l - 5*k, -l + 0*k + 4 = 2*k. Suppose 8*x + 24 = l*x. Find w such that -4\/5*w**3 - 4\/5 - 4\/5*w**x + 2\/5*w**5 + 8\/5*w**2 + 2\/5*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 1\/2 + (-5)\/2. Let v be -4 + 7 - (g + -2)\/(-2). Suppose -4*x + 181 = v*o, -6*o - 123 = -2*x - o. Calculate the remainder when x is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m - 174*m - 289*m + 23*m - 36*m as h*m + k and give h.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {t: 1, u: 3, s: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59697, -59706, -59715, -59724, -59733?\n\"Answer: -9*z - 59688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 139*h**2 + h - 4. Let n be v(2). Calculate the remainder when n\/18 + (-26)\/(-117) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 139995.\nAnswer: 139995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 2 v when four letters picked without replacement from fvhhvhhhhfhwhwhvffhf.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 1\/3, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*k + 329. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 5*c - 5. Let a(q) = -4*q**2 + 7*q + 7. Let n(f) = 5*a(f) + 7*s(f). Let z = 26 + 8. Let m(r) = -33 + 4*r + 67 - z. Determine n(m(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 520, 793, 1066?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-2)\/(-3)*12\/(-4). Suppose -4*w - g + 50479996 = 0, -w + 2*g + 12620008 = -t*g. Round w to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.9 + -16. Let u = -1 - z. What is the second smallest value in u, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48609.77 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - b10078?\nAnswer: -b10071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*j + 17 = 0, -4*d + 61 = 4*j + 53 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15187 or 15181?\nAnswer: 15181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-34 - (36 - -2)) - 15\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b. Let l(o) = -12*o. Let c(j) be the second derivative of 3*j**5\/5 - j**4\/6 + j**3\/3 - j**2 - 2*j + 24. Let t be c(1). Give t*v(g) + 3*l(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 45*l - 1748. Let z(y) = -5*y + 184. Let n(f) = 2*b(f) + 19*z(f). Let h(c) = -323*c - 1. Give n(h(m)).\nAnswer: 1615*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3929495456?\nAnswer: 2, 122796733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3, -3*b - 2*o = 2*o - 35. Let k(a) = b + 9*a - 13. Let y(t) = 5*t + 3*t - 18*t + 6*t. Give k(y(c)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 143, 215, 287?\n\"Answer: 72*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/41521 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -190000 divided by 11875\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/3)\/((-6)\/216). Is 164\/3*v\/24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 times 422\nAnswer: 29118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.9581 to one dp.\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iryka. What is prob of sequence aiky?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = 64. Let j be 7\/(-4) + 16\/u. Is j + 2 - 2\/(-4)*582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lklh when four letters picked without replacement from bktkzhl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14aa0 + -1814?\nAnswer: -166b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 14883 = -7*p. Suppose -p*y + 9072 = -444*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1590\/510 - (-1 - -4). Which is the nearest to v? (a) -2 (b) -1\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191428*0.065\nAnswer: -12442.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -13. Solve -6*g + 3*g + 4*u = y, -5*g - 12 = 4*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1736 and 602326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/157)*m*m*m**(-33)*(m\/(m**(-28)\/m))\/m*m**(2\/9) assuming m is positive.\nAnswer: m**(-2494\/1413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -1, -3\/4, -0.4, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:45 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (20\/5)\/(7\/((-42)\/4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -994 - -994. Solve 2*u - 2*n - 12 = h, -2*u + 5*n = 2*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 11.916. Let w = g - -0.0840625. Round w to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-6 - 0))*(-8)\/6. Let o(h) = -1. Let w(r) = 7*r - 4. Let q(x) = -4*o(x) + w(x). Let p(n) = 21*n. Calculate j*p(i) - 11*q(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1362053569*k**4 - 1072435277*k**2?\nAnswer: 32689285656*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c (base 13) to base 10.\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.3 (c) -4 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*a = -7, -4*a + 2 = 3*d + 11. Let c be (d*-1)\/((-2)\/54). Calculate the greatest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:47 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(242)*2)**2 - (-3 + sqrt(242)*-3 - sqrt(242)).\nAnswer: 44*sqrt(2) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(99) + 5 + sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99) + ((sqrt(99) + -2)*-3 - sqrt(99))**2)*-3.\nAnswer: -4881 + 387*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 45*f + 11 = -12*f - 25*f, 44 = -4*j + 17*f for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(2 - 2 + l)*(1 + 10 + 0 + (-5 + 2 + 1)*(2 + 3 - 4)) in the form p + a*l and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 - 39255*n - 50747040 = 0.\nAnswer: -6219, -1632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 777270 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -2.9. Let z = 2.5 + o. Let v = 1 + -0.6. What is the second biggest value in 2, z, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 19*y - 4. Let g be x(-20). Solve 4*c = 4*w + g, 0 = 2*w + 2*w + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.31 + -874376.\nAnswer: -874396.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 8 = n, 0 = 3*n + 2*h - 6 + 14 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1)*(-2 - (2 + -4)). Suppose u = 4*d - 14 + 6. Let s(a) = -a**2 - 2*a**2 + 4 - a**d. Let q(n) = -4*n**2 + 3. Give 4*q(f) - 3*s(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6593500*x**2. Let b(y) = 5*y**2. Calculate b(a(q)).\nAnswer: 217371211250000*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1885864)\/52240 + (-2 + 1 - -37).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**4 - 15*m**3 - 99*m**2 - 21*m - 48. Let j(h) = 2*h**4 + 3*h**3 + 20*h**2 + 4*h + 10. Let f(r) = -5*a(r) - 24*j(r). Factor f(d).\nAnswer: -3*d*(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((14 - (21 + -5)) + 0 + 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -2*t, 4*t - 3*w + 4 = -15. Let q be t\/(-1 + -1)*10. Suppose 0 = -2*y - 4*v + 238, q*y - 643 = 3*v - v. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128742.5 meters in nanometers?\nAnswer: 128742500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.3306928689 - 229.64\nAnswer: -231.9706928689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 + w + 1. Let y be 1*(-2 - -1*1). Let i(g) = 7*g**2 - 5*g**2 + 3*g - 7*g + 3 - g**3 - 5. Give y*i(z) - 2*f(z).\nAnswer: 3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.5 in 5, -1\/2, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-1)\/(-6))\/(-4*(-12)\/(-144)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13750\/(-11))\/(2*1\/(-51712)). What is i rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 248610?\nAnswer: -6961080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 487*g**2 - 41202*g = 0 for g.\nAnswer: -378, -109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 55\/(-10)*(36\/33)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:39 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - m = 2758 + 1464, -4*m - 16 = 0. Is 74 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(7) + -1 + 1)*-5)**2 + 4)*-5*3.\nAnswer: -15810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 33*u = -6. Let x(f) be the second derivative of 0 - 1\/12*f**4 + 0*f**u + 0*f**3 - f. Solve x(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000654957454 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-242) + (-178)\/(-22). Suppose 5*u + 5*t = 90, 6*t - 4*t - x = 0. Solve -2*i = 4 - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -4, -525, -2, 46?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -14*d + 18. Suppose -3*y - 2*t - 5634 = 0, 4823 = -d*y - 3*t - 808. Round y to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**3\/5 - 96*p**2\/5 - 54*p + 972\/5.\nAnswer: -6*(p - 2)*(p + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 7:19 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -1 - (-9 + 17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdndvdznzzn. What is prob of picking 2 n and 2 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 + 3*a**4\/4 + 5*a**3\/3 + 4*a**2 - 315*a. Suppose 13 = 11*k + 90. Determine o(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55 - 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 733\/4 > 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -7 + -19 + 58\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793085 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)\/v**10 assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**4*u)\/u**(-8))**(-1\/39) assuming u is positive.\nAnswer: u**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -716.23 + 700. Let b = 16 + i. Let p = b + 0.2299983. What is p rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**4 + j. Let n be (1 - 4)*2\/(-3). Let k(b) = 2*b**4 - 2*b**2 + b + 1. Let a(g) = n*k(g) - 2*f(g). Determine i, given that a(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 - -211. Let z = m + 185. Solve 3*f = 3*b - 9, -z*b + 4*f = 3*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 780 * -0.0197\nAnswer: -15.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((-8)\/(6160\/(-22)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 bigger than -20984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - p**2 - p**2)*(0 + 5 - 3)*(-19*p + 42*p - 20*p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 4, p: 2, i: 1, e: 1, w: 1}. What is prob of sequence wv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. What is the units digit of r(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 23*y**2 - y. What is the tens digit of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 122 - 15*y - 126 - 88.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21518*r + 8413542. Calculate o(-391).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770621.\nAnswer: 3, 590207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 - 3141890*x\/11 - 571252.\nAnswer: -2*(x + 2)*(x + 1570943)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3784)\/(-30) + (-12)\/90. Suppose -3*i - 15*h + 16*h = -y, -3*i + 4*h = -135. Calculate the remainder when 327 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 71509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0745723 rounded to three dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 13*j - 36. Determine s(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2 - 7 - 4*r + r**2 + 9*r + 0. What is the units digit of d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 2*x - 6. Let p(c) = 3*c. Let z be 3 - 4 - (3 - (-1 + 1)). Let q(m) = z*n(m) - 12*p(m). What is o in q(o) = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose -42 = -t*r - 0*r - 3*j, j = r - 21. Suppose r*l = 16*l + 330. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + d**2 - d**2 + ((0 - 2 + 0)*(2*d**3 + 0*d**2 + 0*d**2) - 3*d**3 - 5*d**3 + 2*d**3)*(-2*d + 3*d + d).\nAnswer: -22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 12 + (-3)\/(6\/(-8)). Solve k*m = 47*m - 28*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(320) + sqrt(320)*-5 - (sqrt(320) - ((sqrt(320) + -3 - sqrt(320)) + 4)))*5*-1 + -1)**2.\nAnswer: -12400*sqrt(5) + 200961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 184*c + 17 = 179*c, -1 = v + 4*c. Solve 34 - 24 = 2*y - v*u, u = -3*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-31)\/(-186))\/((-4)\/(-120)). Let d(s) be the third derivative of 0*s**4 + 35*s**2 - 4*s**3 + 0 - 1\/60*s**m + 0*s. Let f(y) = -y**2. Give d(f(t)).\nAnswer: -t**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376951243.\nAnswer: 376951243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 113. Suppose 3*o - q*c - 214 = 312, o - 5*c = 168. What are the prime factors of o?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847296 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/4) - 3. Let p = -5 - o. Suppose 3\/4*v**4 + v**5 - 3\/4*v**p + 1\/4*v + 0 - 5\/4*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 5, 18 in increasing order.\nAnswer: -16, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/9 - 78104*i\/9 - 762529352\/9 = 0.\nAnswer: -19526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4642.413 centuries?\nAnswer: 464241.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 + 1056*j = 0.\nAnswer: 0, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 times 19.541?\nAnswer: 18388.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2816 and 3840?\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 8}. Give prob of picking 3 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/4, -3.3, 29, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -h - 4*y, -1605*y + 4 = h - 1603*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 - -642. Suppose -5*m - w = -4*n, -4*n + 332 = 2*m + 2*m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14272*q**3 - q**2 + 14*q + 1569 wrt q.\nAnswer: 85632*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + 0?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 10*y**2 - 11*y + 109. Give i(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1249860 divided by 222\nAnswer: 5630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*x**2 + 126*f**2*x + 561*f**2 - 18*f*x - 2*f - 2*x - 14 with respect to x.\nAnswer: 2*f**2*x + 126*f**2 - 18*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 + 8010*c**3 - 15825*c**2 - 280000*c = 0. What is c?\nAnswer: -5, 0, 7, 1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 1 + 0 + z**3 + 2 to h + v*z + l*z**3 + c*z**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103032 + 3?\nAnswer: 1103101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23562 and 1496?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = 2*u. Let r be -6 - 1\/(u + -1). Let k(d) = d**2 + 4*d + 6. What are the prime factors of k(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944*r**3 + 728 + 64*r**4 - 7705*r**5 + 2408*r**2 + 15464*r**5 - 2260*r - 7755*r**5 = 0.\nAnswer: -26, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - r - r + 0. Let d(u) = 251. Let m(i) = 314. Let c(b) = 5*d(b) - 4*m(b). Determine -2*c(q) - 2*p(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1205 - -1209.13. Round b to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -8) + -15 + (-32 - -47).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - 17. Let d be 6\/9*120\/16. Suppose -4*i = -f - 2*f + 3, -5 = -4*f + d*i. Sort -2, f, c in decreasing order.\nAnswer: c, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z - 1 + 0)*(-8*z - 65 + 65)*((0 - 5 + 3)*(2 - 2 - 1) - 15 + 5 + 113).\nAnswer: 840*z**2 + 1680*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-24))\/(((-416)\/(-48))\/13)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 1, a: 1, n: 5, g: 4}. What is prob of picking 1 y and 1 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 8:27 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355736 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65591)\/(-5029) - (-2)\/(-47). Solve -t*n = 29*n + 168 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*h - 3*k, 5*h + 2*k - 4 = 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*x = -218*x + 144. Let w = -285 - -477. What is the greatest common divisor of w and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*m - 4 = 0, 9*z - 16875*m - 21 = -16872*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92931 divided by -6.\nAnswer: 30977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 5*y**4\/12 + y**3\/6 + y**2\/2 + y + 4. Let d = -13 - -10. Let o(n) = -n**2 - n. Give d*o(m) - b(m).\nAnswer: -2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7668.6733 to the nearest integer.\nAnswer: -7669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j. Let u(x) = -1631*x**2 - 1581*x**2 + 13*x + 3145*x**2. Determine u(c(l)).\nAnswer: -2412*l**2 - 78*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2411 - 2002. Calculate the lowest common multiple of 4 and d.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96192 and 288.\nAnswer: 96192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027879889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(180\/(-15)))\/((-1)\/(-10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:54 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 25. Let f(a) = 3*a + 5*a - l*a. Let g(z) be the second derivative of -5*z**3\/6 - 3*z. Give g(f(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676 + 652 - 2033 = -470*w + 763 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*z**2 + 5*z**2 + 17*z**2)*(-2*z**2 + 3*z - 3*z) + (-z**2 - z**2 - 2*z**2)*(-2*z**2 + 2*z**2 + z**2) as j*z**2 + q + f*z + r*z**3 + l*z**4 and give l.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 not equal to 433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 6\/(24\/100). Let c = 87 - o. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 2149 - 1091. Calculate the highest common factor of 144 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55847 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.37 - -36.3965. Let w = -0.0265 + k. Sort w, -0.1, -0.7 in ascending order.\nAnswer: w, -0.7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*x. What is the remainder when (3 - -2) + (0 - x) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 50 = -4*t + 106, -3*g = -9. 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 i = 985 + -985.0000822. What is i rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 divided by 1?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4269 + 4268.5. Which is the second smallest value? (a) -394 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 17. Let y be -2*(o\/(-6) - 1). Solve -2*b - 3 = -y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2639)\/(-22620)*10\/(-42)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*x + 361 - 333 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:14 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/2)\/(26\/(-65)). Suppose 3*n - 632 = -n. Suppose -g*f = 38 - n. What is the highest common divisor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 790567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/15)\/m*m\/(m**(2\/45)\/m))**35 assuming m is positive.\nAnswer: m**(322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232317 (base 10) in base 11?\nAnswer: -771949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Suppose 20 + 5 = z*w + 4*a, -w + 3*a = 14. Let y(l) = -681*l + 1. Let f be y(w). Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 760, -20, 4 in descending order.\nAnswer: 760, 4, 2, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23078527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-6*p**3 - 14*p + 9*p + 3*p).\nAnswer: 6*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29005 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1\/14*u**7 + 0*u**5 + 0*u**6 + 3*u + 0*u**2 + 1\/2*u**4 + 0 + 0*u**3. Find the third derivative of q(p) wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-3))*a**4)\/(((a**9\/a)\/a)\/(a*((((a*a\/(a\/a**4)*a)\/a)\/a)\/a*a)\/a)))\/((a*a\/(a\/a**(-3)))\/(a\/a**(-5\/2)))**(-8) assuming a is positive.\nAnswer: a**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175151?\nAnswer: 17, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 773652*i**4 - 640331*i wrt i?\nAnswer: 9283824*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 6*o - o**2 + 15*o - 1 + (33*o - 12*o - 33*o)*(8*o - 15 + 15) + (0 - 3 + 2)*(0*o**2 + o**2 - 3*o**2).\nAnswer: -95*o**2 + 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -2 + sqrt(19) - (sqrt(304) + -1)**2 - (-1 + 1 + sqrt(2736))**2.\nAnswer: -3043 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 - 1.6. Let o = -9 - w. Let a = -53 + 53.1. What is the second smallest value in a, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:13 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -3*c, 11*b - 65 = 8*b + 4*c. Solve 4*y = 4*w - 28, -b = -4*w - w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 - 123 + 29 + (-3 + 2 + 0)*(5 + 2 - 1))*(-3*z**4 - 3 + 3) as n*z**2 + g*z + t*z**4 + l + j*z**3 and give t.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2935512 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281671.36880778 - 281671.4. Let m = c + 0.0312. Round m to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*b - 6 = 101*b. Let n be 39\/39 - (8\/(-1))\/b. Suppose -n*a + j = -1214, 1230 = -0*a + 5*a - 5*j. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179309032 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/14 + (-8)\/28. Let h be (-8)\/(-12) + 2\/f. Let j(t) = -t + 1. Determine j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 22*w**2 - 138*w - 12. What is the remainder when q(-11) is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - (-9)\/6)*-1)\/(1\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:31 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 39*s + 3. Let w(g) = -3*g**2 - 79*g - 5. Determine 5*p(t) + 3*w(t).\nAnswer: t**2 - 42*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 40, 61, 82, 103?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2 - 4*q. Let u be m(3). Let x(l) = -2*l + 13. Let d be x(u). Solve -3 = j - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4\/7 (c) 2\/33 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2\/5, 17028, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202118099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1204 - 68 = 0. Calculate the smallest common multiple of 24 and 9\/((-135)\/g) - (-4)\/(-10).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52708478 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-4) - 5\/(-20). Let j = 2 - f. What are the prime factors of 228\/9 - (-2)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/135*(-6 + 2025\/342).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 90421510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -155. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and (-98)\/10*((-218)\/(-104) - 2)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 3*t - 5*r - 22, -3*t + r = -r + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434065 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 33*s**3 - 5*s**3 - 20*s**4 - 28*s + 54*s**2 - 7*s**2 - 3*s**2 - 24 = 0?\nAnswer: -1, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3991\/4 + 992. Find the common denominator of -57\/86 and i.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178930 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 325893 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4 = n, 13*n = 2*s + 9*n - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwfr when four letters picked without replacement from {w: 2, r: 2, b: 1, f: 1, x: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.368721 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1980 - -1986. Solve 0 = -2*y - 3*a + 7 + q, 3*y = -5*a + 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*p + 458, -3*z = p + z + 123. Let h be p\/(-15) + (-6)\/9. What is the greatest common divisor of 49 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-1311)\/92)*((-304)\/95)\/(-16).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.13 and 2543.\nAnswer: -43561.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22548763 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994.457 days to nanoseconds.\nAnswer: 85921084800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, 17, 43, -1\/22?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 538 + 62. Suppose -440 = -2*k - 3*z + 8, -r = -k - 5*z. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d - 6. Let p = 6508 + -6511. Let r(u) = -8*u - 7. Determine p*r(q) + 4*n(q).\nAnswer: -8*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0 + 3 - 12 - 39*j. List the prime factors of b(-2).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -504914277*x**4 - 14*x**2 + 1806*x - 88.\nAnswer: -12117942648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 32 = -2*p, 15 - 5 = -2*f. Solve -5*g + 4*w = 10 + p, -2*g + 20 = 5*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -245, -244, -243?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 26938*w - 26944*w + 134701*w - 26944*w - 26938*w - 26940*w.\nAnswer: -3*w + 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 0, 5094, 2\/11, -56?\nAnswer: 5094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.98 to the nearest integer.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1001 + -999. Let o(j) be the first derivative of -a + 0*j + 0*j**2 - 1\/24*j**4 - 1\/9*j**3 + 1\/15*j**5 + 1\/36*j**6. Find i, given that o(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 3*y + 2. Let h be i(2). Suppose 3*j + 1 + 21 = 4*n, -38 = -h*n - 5*j. Suppose -2*t - n = -13. Let f(l) = 2*l - 1. What is f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8 + 5\/2. Let s be 4\/(-18)*(-3)\/x. Factor -1\/3*l**2 + s*l**4 + 0 - 1\/3*l + 1\/3*l**3.\nAnswer: l*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8415 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-2*2\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 105*w**3 - 195*w**2 - 95*w.\nAnswer: -5*w*(w + 1)**2*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -77*r + 335. Is q(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2018351, -2018349, -2018347, -2018345, -2018343, -2018341?\n\"Answer: 2*q - 2018353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1474060 (base 9) to base 15.\nAnswer: -111e09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 20 = -5*a. Suppose d = 2*s - a, d + 2*s = 3*s - 1. Solve 5*o = -1 - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1520 or -2\/29?\nAnswer: -1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/((-11)\/231).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1. Put m, 2, 1\/4 in descending order.\nAnswer: 2, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 4. Let d be o(2). Suppose -11*i + 6435 + 704 = d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.03\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m**2*w + 28*m*w + 2*m - 1535*w wrt m?\nAnswer: 10*m*w + 28*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 17 + 7 + 35*h**2 as z*h + o + p*h**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -11. Suppose 100 = -7*w + 5*w. Is l\/10 + (-2570)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1130581 decades?\nAnswer: 1.130581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a3abd (base 15) to base 12\nAnswer: -51782a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + -3 - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83560 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/30)\/((-4)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {j: 1, u: 4, s: 5, h: 2, y: 2, l: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 17719 = 19*j. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (45\/12)\/(6\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-21) - (4 - 60\/14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 3*p - 5. Let x(z) = z - 7*z + 2*z - 6 + 3*z**2. Suppose -4*q + 0*q = -12. Suppose 0 = 4*h + 45 - 29. Calculate h*n(s) + q*x(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7589049 and 819.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/(-22))\/(3\/(-78)). Let h(i) = -f*i - 2 + 2 + 9*i - 2. Let p(c) = -11*c - 5. What is 17*h(y) - 6*p(y)?\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -388*j**2. Let p(t) = 8*t + 2309*t**2 - 2315*t**2 - 8*t. What is k(p(i))?\nAnswer: -13968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = -25. Let n(s) = s**3 - 5*s**2 + 8*s - 10. Is n(x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1012638 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 742997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-20))\/4)\/((12\/6)\/2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-1)\/2)*-6. Let i = 5 + c. Suppose -9*v = v - 20. Calculate the highest common factor of v and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40186, -80477, -120782, -161107, -201458?\n\"Answer: -u**3 - u**2 - 40281*u + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 1064?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4467.339 - 4470. Let y = s + 1.292. Let u = y + -88.531. Round u to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o + 0 + 0*o**3 + 1\/8*o**4 - 1\/20*o**5 - 5*o**2. Let z(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247054 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*m**3*p - 11*m**3 - 6*m**2 - 3*m*p wrt m.\nAnswer: -60*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -421, -828, -1233, -1648, -2085, -2556, -3073, -3648?\n\"Answer: -2*v**3 + 13*v**2 - 432*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-48*z + 51*z + 56 + 102) as s*z + w and give w.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 17*k + 3*u - 556877 + 556838, 0 = k - u + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*n + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 4, q: 2, y: 1, z: 1}. Give prob of picking 1 y and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146038 is divided by 20855.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43147 - 12026. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 12*g + 5 + 9*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*d - 60, 5 = 2*a - 3*d - 2*d. What is the first derivative of 11*s + a*s - 31 + 11 - 3*s wrt s?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9639 + -9064. List the prime factors of i.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 - 21328.41938\nAnswer: -21441.41938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 26*l**2 + 12*l - 23. Let x be ((-10)\/4)\/(45\/(-36)). Suppose -11 = -x*v - 0*b + 5*b, -33 = -v - 3*b. Is y(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y + 806. Calculate p(-46).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -191, -302, -433, -590, -779, -1006?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0128 take away 45.4?\nAnswer: -43.3872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347.20179 rounded to 0 decimal places?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*j = 2890, -7*g + 3*j = -19190 - 1008. What are the prime factors of g?\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, 21, 154, 413, 840?\n\"Answer: 7*m**3 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -3*sqrt(114)*-2)\/((-1*sqrt(42))\/sqrt(7)))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2578810, 5157618, 7736426?\n\"Answer: 2578808*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 381365558600*y**2 + y + 381365558601*y**2 + y - 2*y.\nAnswer: y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 + 3*y**2 - 26*y**2 - 22*y**2 + 47*y**2 + 2*y.\nAnswer: 2*y**2 + 2*y - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, -1, 17, 143, 1, 4, 5 in descending order.\nAnswer: 143, 17, 5, 4, 1, -1, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*k + 10732 - 2928 = 53*k - 5716 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/12*19\/(570\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -4. Suppose 0 = j - 3*j + b. Suppose -10*o - 64 = -224. Calculate the smallest common multiple of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -6, -8, -10?\n\"Answer: -2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6330, 25218, 56662, 100662?\nAnswer: 157218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(12) + 3 + 0 + sqrt(243))*-6)**2.\nAnswer: -792*sqrt(3) + 13104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.426 and 2.85.\nAnswer: 4.0641","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-2 + 3 - -1). Solve 19*z - 23*z = -b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 675.615ug?\nAnswer: 0.675615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -728*l + 6541. Give n(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 3 - 23)*(3*q - 4*q + 13*q) to the form y*q + t and give y.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -72, -189, -356?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 6783520771?\nAnswer: -6783520767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 + -247. List the prime factors of (-42185)\/n - ((-2)\/(-8))\/(-1).\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0*t - t)*(-1 + 1 + t**2 + (0 - 2 + 1)*(-3 + 2*t**2 + 3) + 8*t**2 + 72*t**2 + 4*t**2).\nAnswer: -83*t**3 + 83*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykpiq. Give prob of picking 1 q, 2 y, and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -893 + 892. What is the second biggest value in 1\/4, c, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32679609 divided by 1?\nAnswer: -32679609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 5*p - 25, 456 = 4*b + 5*p + 481 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 78975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959076.\nAnswer: 2, 3, 26641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:51 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 - 3*m**2 - 13*m - 4. Let c(j) = -j**3 - j**2 - 6*j - 2. Give 2*a(v) - 5*c(v).\nAnswer: -v**3 - v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let y(j) = 18*j - 8. Let q(k) = 8*o(k) + y(k). Calculate the least common multiple of q(13) and 22.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -59*u**4 - u**3\/6 + 8*u**2. Is t(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 5*u + 2. Let m be r(-5). Suppose 25 - 75 = -m*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-7)\/(-4))\/((-5)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 26. Let w = 671 - u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s**2 + 0*s**2 - 3*s**2)*(-s**2 + 63*s**2 + 26 - 30) as g*s**3 + y*s**2 + l*s**4 + x + o*s and give l.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40163 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/46)\/(-1)*(-4)\/2.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 28 + -18 + (-2 - 5) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(16\/(-268)) + 3\/6. Suppose c - 44 = -g. Let n be 0 + ((-3)\/(-6))\/((-1)\/c). Sort 3, n, 0 in ascending order.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -6 (b) -4 (c) -30 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5625*s**2\/2 - 300*s - 8.\nAnswer: -(75*s + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1326939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399*h**2*w**3 - h**2*w**2 - 1247*h*w**2 - 3*w**4 + 2 wrt w?\nAnswer: -2394*h**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*100\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17605, 70315, 158165, 281155, 439285?\n\"Answer: 17570*l**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4)\/3)\/(8\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 4 = -5*y. Let z = 17 + y. Calculate the remainder when 25 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (104\/602)\/((-81)\/(-378)). Let n = r + -6\/43. Suppose o - 3*o - 2 = 0. Which is the nearest to n? (a) -2\/5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112)\/(sqrt(8)\/sqrt(4)))\/(sqrt(48)\/(sqrt(6) + sqrt(6) + sqrt(6)*1)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15364614 rounded to the nearest 10000?\nAnswer: -15360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 16*c + 22*c - 122 = 2*l, -2*c - 2 + 9 = -8*l - 5*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/2))**(-30)\/((b*b**(-6)*b*b*b*b)\/b**(-1\/7)))**(-5\/7))**(23\/3) assuming b is positive.\nAnswer: b**(-12305\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1270, 2, 3 in increasing order.\nAnswer: -1270, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065057.\nAnswer: 211, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.268, 1, -4 in decreasing order.\nAnswer: 1, 0.268, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 8\/7 (c) -1511\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 10, p: 4}. Give prob of sequence wwe.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8255, 8385, 8515, 8645, 8775?\n\"Answer: 130*k + 8125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-74 + 12 + 4)*(-1 + 3 - 1)*(j - 4*j + j) + (8 + 6 - 6)*(-2 + 2 + j)*(1 - 2 + 7))*(3*j - j + 0*j) to the form k + f*j**2 + z*j and give f.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 2 p when four letters picked without replacement from spjpyyyyyjypsydyy.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**3*m - 3*h*j*m**3 + 13*h*j - j*m + 635*m**3 + 2*m**2 wrt h.\nAnswer: -12*h**2*m - 3*j*m**3 + 13*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uustwuj. Give prob of sequence st.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + 102\/(-4). Let l be (-2)\/8 - x\/8. Let c(r) = -2*r - 2*r + l*r. Let v(p) = p**2. Give c(v(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 13*h**2 - 10*h + 305. What is l(-10)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/13 in 1, -0.5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769965 - 772487 - h + 2522.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 72065.\nAnswer: -11\/14413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -45 - (3 + -2 - 2). Let s = 59 + g. Suppose -s*z - 6 = -17*z. What is the remainder when 10 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 40. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12312 is divided by 111.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - -21d4688?\nAnswer: 21d46d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -21) + (79 - (-60 + 210)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21311 + 3841 = 4*m - 2*g, m - 5*g - 6315 = 0. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227472 is divided by 140.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-63 - -131) - 87\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - 5?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let i(r) = -930*r**2 - 40*r - 2. Let u(y) = -7441*y**2 - 340*y - 17. Let q(w) = 17*i(w) - 2*u(w). Determine q(j(l)).\nAnswer: -3712*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)**(-2\/11)*a*a**(-4\/3)\/a*a**(2\/9))**(-8\/7) assuming a is positive.\nAnswer: a**(1024\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7*z - 108. 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 309678834.\nAnswer: 2, 3, 17, 19, 159793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-3) - -4 - (-48)\/(-24) - -4337.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -81. Let p(c) = -c**3 - 8*c**2 + 3. Let i be p(-8). Let k be 1*4\/d*i. Which is smaller: k or 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/27945 and 83\/223193610.\nAnswer: 2008742490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -58 and -1\/75478 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -30*l**3 + 3*l**2 + 2*l - 4. Let t(x) = x**2 + x - 1. Determine 2*h(b) - 6*t(b).\nAnswer: -60*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 + -253. Suppose -j - 2*c = 4*j, 0 = 3*c + 15. Let y be (j - 10\/4) + (-63)\/12. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114205417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15745.\nAnswer: 5, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4716221 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*p**2 - 665\/3 - 20*p.\nAnswer: 5*(p - 19)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 = -4*b, 3*b - 4*f - 7 = 19. Let j be ((-846)\/10)\/((-7)\/(-35)). Let p = -418 - j. Solve b*u = p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t = 38 - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -405 - -6883\/17. Let y = -5 + 2. Suppose 0 = 5*g + 5*b + 10, -4*g - 265 = b - 251. What is the nearest to -2 in p, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16374723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21368 and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-80)*((-4)\/3)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 7. Let z be o(-4). Let c = z + 15. Calculate the remainder when (-712)\/(-16) + 3\/c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7*7)\/((-1209)\/(-67)). Let n = 81\/31 - i. Let b = n - 23\/156. What is the smallest value in -10, 0.2, b?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, 0.9, -628.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 57003775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 223.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*(120\/54 + -2). Let n(m) = 136 + 9*m**2 - 3*m**q - 137. What is n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13597957 is divided by 418.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.5 - 108. Let f = -19 + 9. Let v = f - -11. Which is the third biggest value? (a) 0.5 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42540 and 4045?\nAnswer: 34414860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/(-455))\/7*((-225)\/(-54))\/5?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 23*y**2 - 3*y - 36. Calculate h(-23).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 54. What is the remainder when q(6) is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282275, -564529, -846783, -1129037, -1411291, -1693545?\n\"Answer: -282254*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -8. Which is the closest to -1\/4? (a) 5 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -38 - 2*o - 12*o + 0*o. What is the tens digit of k(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -17598*n - 1759798. Give p(-100).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r + 2*r)*(-1 + 1 - 2*r**2) + (-3 - r + 3)*(-1 - 126*r**2 + 15497*r + 15502*r - 31000*r) in the form s*r**2 + c*r**3 + z*r + p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-2)\/11 - (-94)\/47?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.99519 + 0.03681. What is i rounded to 1 dp?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -31 (b) 1\/4 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 508*z + 62. Does 27 divide s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-880)*5\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -2 - (-5 + -2 - 2). Suppose -2*j + 2*u - 124 = 6*u, u = f*j + 255. Let y = j - -51. Let q(b) = b + 2. What is q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273183642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -7) + (-1 - 2)\/(-3). Let -q - q**2 + 13*q**4 + 4*q**3 - 2*q**3 + 6*q**5 + 7*q**3 - v*q**3 = 0. What is q?\nAnswer: -1, -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672 and 667764?\nAnswer: 37394784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 80.\nAnswer: -5, -1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2948, 5911, 8874?\n\"Answer: 2963*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23525 or -23523?\nAnswer: -23525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16*u**3 + 54*u**3 + 0*u**3)*(3 - 3 + u) + (0*u**2 - u**2 + 4*u**2)*(-3*u**2 + 2*u**2 + 4*u**2) - 2*u**4 + 3*u**3 - 3*u**3)*(2*u + 3*u - 3*u).\nAnswer: 154*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 660852040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 16837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 30212 = -5*o, 790*r - 785*r - 75460 = -5*o. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 8:29 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {v: 10, m: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91\/10 - 17\/2. Suppose 5*i = i - 4*r + 24, 0 = 2*i - 2*r - 20. Let f = -4 + i. What is the biggest value in -0.4, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -463*a - 976. What is k(-2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -23435.3729 to the nearest 10.\nAnswer: -23440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*i = 3*f - 63 + 13 - 132, 4*f - 104 = -4*i for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15759943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 22*l - 2. Suppose -3*s = -8*s - 3*b + 1, -3*s - b + 3 = 0. Let z be j(s). What is the units digit of 2\/(-7) - (-348)\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*u = 36 - 40, 0 = 4*p - 4*u + 16 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/248*64 + 178 + 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 11\/(55\/(-4))*25\/10. Solve 5*q + o - 25 = 0, r*q = -5*o + 9*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*s + 5175 - 1303 = 0. Put 4, s, -7 in ascending order.\nAnswer: s, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 0. Suppose 37 + u = d. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 249156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*p**2 - p**2 - 5*p**2 - 5*p wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 677910 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/11)\/w*(w\/(w\/(w\/(w\/w**(3\/8)))))\/w*w*w)\/((w**(-1\/19)*w)\/(w*w**(-1\/3)*w)))**(-3) assuming w is positive.\nAnswer: w**(-11873\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyuuyyyyyyyyyyuyyy. Give prob of sequence yuuy.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.032 (b) -2\/21 (c) 4\/5 (d) 105\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2. Let k be x(1). Suppose 2*a = -o - 7, 3*a + o + k = 1. Let t be -2 - a - -2 - 5. Sort -2, -5, t in increasing order.\nAnswer: -5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 164*b - 9184. What is n(56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 82*d - 408. Let p(l) = -l**2 + 222. Let y be p(0). What is the smallest common multiple of k(5) and y\/30 + (-2)\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169169 is divided by 5457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -17*n - 666. Suppose 0 = n*i - 78*i + 36. Solve -5*x + 16 = -i*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/9 in 0.4, 4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58783573?\nAnswer: 58783573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 2*l**3\/9 - 17*l**2\/3 - 76*l\/3 - 70. Factor m(z).\nAnswer: 2*(z - 19)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -33. Suppose -5*i - 4*q + 50 = 0, a*i - 27 = 4*i - 3*q. Let l(w) = w**2 - 7*w + 7. Give l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(2 + (-26)\/16). Suppose -3*t - 46 = -43. Let p be t + 35 + (0 - (2 - 0)). What is the greatest common divisor of y and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/401, 0.08, -5, 3\/2, 10, -22 in decreasing order.\nAnswer: 10, 3\/2, 0.08, 1\/401, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.281666 to two dps.\nAnswer: 295.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93086.4 months in centuries?\nAnswer: 77.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/(22701\/621 - 42).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(55)\/sqrt(5)).\nAnswer: -10 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1076 and -49\/45.\nAnswer: 48420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2788935565?\nAnswer: 5, 13, 42906701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/9562869 and -87\/10?\nAnswer: 95628690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 209709.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51326 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 26*n**2 - 38*n**2 - 2*n + 14*n + 4*n**3 + 0*n**3.\nAnswer: 4*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 12*b**2 + 14*b - 11. Let i(p) = 2*p - 13. Let r = 55 - 42. Let z be i(r). What is the units digit of f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191063 - 110065. List the prime factors of s.\nAnswer: 2, 40499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2)*(4 + -5)*297. Suppose 0 = -2*d + s + l, 6*d + s = d + 746. Let x(m) = m**2 - 2*m + 3. Calculate the remainder when d is divided by x(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -110 in descending order.\nAnswer: 7, 5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 67*y + 2361. Determine s(22).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from heppkkt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12795 = -134*h + 131*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -272328772*h + 355754848 with respect to h.\nAnswer: -272328772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13468.86 minutes in days?\nAnswer: 9.353375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 + -127. Suppose -5*r - w*q = -18*q - 18, 3*r = -2*q + 2. Solve -4*c = -2*b + b - 16, 0 = -r*c + 2*b + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5701*p**3 + 2824*p**3 + 2870*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 3. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 3*t**2 - t**2)*(-2*t + 2 - 3 + t).\nAnswer: 3*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**6\/540 + x**5\/270 + x**4\/54 - x**2\/2 + 7*x. Let y(j) be the first derivative of i(j). Let y(n) = 0. Calculate n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 619800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v - 1. Let a(p) = p**2 + 8*p - 5. Let i be a(-8). Does 13 divide t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - (-13 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 10*i**2 - 8*i + 4. Let v be ((-28)\/(-5))\/(((-12)\/85)\/6). Let w = -247 - v. Determine o(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6809.241ug?\nAnswer: 0.000006809241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-1))\/(126\/(-147)*(-21)\/(-12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4*4\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -270352?\nAnswer: -270365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -317, -301, -275, -239, -193, -137?\n\"Answer: 5*v**2 + v - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 3\/7 (c) 6\/331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-157)\/(-92) + (-20)\/80. Let m = -1\/23 - q. What is the closest to -0.1 in m, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173840 and 6678.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41044250 (base 7) in base 6?\nAnswer: -201210522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 - 34149*m - 68295\/2.\nAnswer: -3*(m + 1)*(m + 22765)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 71363 = -21*m - 5*b, -285427 = -4*m - 5*b. Suppose -l = 5*l - m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4\/7 (b) -2\/7 (c) -0.01 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2832 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 36. Let o = 25 + x. What is the second biggest value in 5, o, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) -5238 (c) -1\/7 (d) -2 (e) 1 (f) -7\/36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*i**3 - 594*i**3 + 1213*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 239536441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45609 is divided by 3039?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8608.4 + -8608. What is the second smallest value in l, -2\/15, -61?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - 28\/5. Let r = f - -10. Suppose -r*k + 326 = -58. What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -141?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4157898 and -3.44576.\nAnswer: -4157901.44576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13560734 (base 8) to base 16.\nAnswer: 2ee1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82287468 to the power of 1\/2, to the nearest integer?\nAnswer: 9071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1247789, 5, -0.5 in descending order.\nAnswer: 1247789, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let j(k) = 3 + 2 + 5*k - 5. Let c(i) = 4*h(i) - j(i). Let w(f) = 7*f**2. Calculate w(c(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 13 - 2*s + 2*s**2 - 7*s - 2*s**4 - 12 as o*s**2 + n*s**3 + t*s + d*s**4 + h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 13. Is 4 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(156) - 5*sqrt(156)*2)\/sqrt(12) + (sqrt(117)*3 - sqrt(117)) + sqrt(13) + (sqrt(130)*-2)\/sqrt(10).\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 3*p**2)*(-7*p**3 + 0*p**3 + 2*p**3).\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0 - 5 + 3 + u. Let a be k(3). Let h be ((-94)\/(-408) - (-17)\/(-68))*(-18)\/(-8). Is a at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from ovssosvoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160543226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - ((sqrt(896) + 2*sqrt(896) - sqrt(896) - sqrt(896)) + sqrt(56)))\/(sqrt(200)*-1).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/99)\/((-1)\/1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f - 5*l = -2230, -3*l = 0. List the prime factors of f.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 12 = -3*c. Let d = c - -9. Suppose 2*z - 2*g + g = 13, d*g + 19 = 2*z. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1 + 1)\/(1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -60, 3, 1, -1\/7, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3544*b*g**2 - 2*b*g + 1629*g wrt g.\nAnswer: 7088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 4. Let a(c) = c - 3. Let i(r) = 7*a(r) - 3*f(r). Give i(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 109*k**2 - k + 119*k**2.\nAnswer: 10*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j + 3363. Let o(t) = -4*t + 1686. Determine -6*m(h) + 11*o(h).\nAnswer: -2*h - 1632","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267979.\nAnswer: 89, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12\/5, -490, -3?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1257 - 101821\/2514. Let s = -191\/28 + -3\/7. Calculate the common denominator of s and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 792 = f. Let w = 89 - f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by -8.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*u + 1 - 66*u - 1.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -r + 5*r + 12, 6 = -2*l - r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 712950 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*5\/(-26))\/((2\/10)\/((-78)\/130))?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11842 + 11848. Let a be ((-4)\/12)\/((-1)\/12). Let x be (-924)\/(-8) + (-6)\/a. Calculate the greatest common divisor of x and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26723830 and 117334.\nAnswer: 774991070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*h - 4*c - 1679 + 1059, -4*h + 5*c = 57 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s - 7 = -4*d, 0 = -s - 4*d + 9. Let q = s - 1. Suppose -2*u = -u - 15. Solve 0 = 4*a - 5*x - 11 - q, -3*a - 3*x = -u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17*y - 6. Let r(t) = -1. Let g(w) = b(w) - 5*r(w). Is g(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/24 + 4*m**3\/3 + 20*m**2. Let l = 5 - 11. Determine c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1472 and (-6 + (-2488)\/(-414))\/(32\/194).\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - 8102*v + 2.\nAnswer: -8102*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 3*u - 101, 4*g + 205 = -5*u. Let b = g + 54. Let x be b - (2\/(-6))\/((-1)\/(-15)). Sort 1, x, -5 in increasing order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o**2 - 7*o**2 + 12*o**2 + 284 - 23*o**2 - 284 + o**2 - 2 + 2 + (1 - 2*o - 1)*(0 + 0 - 2*o) - o**2 - 3*o + 3*o - 3*o - 3*o**2 + 3*o.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/14 (b) 8 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.6 + 6.4. Let p = 20.7072 + 2.2548. Let n = v - p. What is n rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40371.\nAnswer: 3, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let j be m(-2). Let x(s) = s**2 + 2*s. Let c(b) = 129*b**2 + b. Let l(h) = c(h) - x(h). Is l(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803226?\nAnswer: 2, 1401613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -530 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 3\/9. Suppose g = -h + 16 - 2. Let p(m) = -m**2 + 13*m + 4. Calculate the remainder when p(9) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Let w(t) = 4*t - 14*t - g - t**2 + 18. Let j be w(-11). Solve -j*z - 16 + 5 = 2*u, -3*z + 9 = -4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuh. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 69*t**2 + 1. Is l(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95765359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 41 = 5*t, 2*t = -2*p + 5*t + 19. Let v = 22 - 49. Let i = -13 - v. Calculate the highest common factor of p and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -22*u**2 + 5*u + 5. Let c = -1600 + 1446. Let d(a) = -682*a**2 + 154*a + 154. What is c*y(x) + 5*d(x)?\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 5 - 43*q**2 + 187*q - 180*q + 18 - 2*q**4 - 12 in the form z + d*q**3 + v*q + g*q**2 + c*q**4 and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**(-17)\/((q**12*q)\/(q\/q**(-10))) assuming q is positive.\nAnswer: q**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -7*t**4\/24 + t**3\/3 + 29*t**2. Let u(q) = 7*q - 2. Calculate 5*r(d) + 6*u(d).\nAnswer: 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 34 = -6*s + 3*s, 3*m - s - 12 = 0. Suppose -m*i = 3*g + 1, -4*i = -3*g - 8 - 2. Which is smaller: 1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 872283826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -35379830 equal to -35379830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**4 - 14328298*c**3 + 253026401*c?\nAnswer: -168*c**2 - 85969788*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*a**2*d**2 + 6*a**2*d*v**2*z + a**2*d*z + a*d - 34*d**2*v**2*z - 3*d**2*v**2 + 2*d*v*z - 2*v*z wrt a.\nAnswer: 38*d**2 + 12*d*v**2*z + 2*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184157?\nAnswer: 184157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 355?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:53 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18655)\/(-780))\/287)\/((16\/(-14))\/((-6)\/35)).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 + -304. Let j(n) = -n**2 - 10*n + 1. What is j(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47812, -95622, -143432, -191242, -239052?\nAnswer: -286862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/5040 + r**6\/720 - r**5\/10 - 4*r**2. Let t(c) be the third derivative of p(c). Determine t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**2 - 104 + 104)*(0 - 5 + 4 - k) as d*k**3 + z + l*k + a*k**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, o: 2, u: 3, a: 3, c: 1}. Give prob of picking 2 a and 1 w.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and -32.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 11*q + 2. Let i be j(6). Let p(w) = w**3 - 7*w**2 + 9*w + 1. Let z be p(i). Round z to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -3019, -10225, -24271, -47437, -82003, -130249?\nAnswer: -194455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64930*x**4 + 4498*x**2?\nAnswer: 1558320*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2118*u**3 - 2109*u**3 - 3*u - 2116*u**3 + 6345*u**3 - 10*u.\nAnswer: 2*u**3 - 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 640*c**2 + 60316*c + 118040.\nAnswer: -4*(c - 227)*(c + 2)*(c + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78506506?\nAnswer: 2, 13, 3019481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6) - (-88)\/66)*-499950. What is m rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 245, 844, 2015, 3950?\nAnswer: 6841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/39327645 and 97\/5618235.\nAnswer: 39327645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 71 = 9. Solve j = -t*b + 17, -3*b = j + 2*b - 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9) + sqrt(54)\/sqrt(6)))**2 + 1 + sqrt(171) + sqrt(19).\nAnswer: 23\/4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.1647l?\nAnswer: 87164.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 19602 = -h. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.41922 * -0.2.\nAnswer: 5.083844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 1. Let s be r(2). Suppose -2*q - 3*q = 25. Let z = q - s. Solve -5*j - 3*w + 17 = 0, z*j + j + 1 = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -48, -1, 1 in ascending order.\nAnswer: -48, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355058 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -16 + -2 - 8) + -2 + (-139 - -132)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m - 2*m)*(-m**4 + 1 - 1 - 2*m**2 - 3*m**4 + 2*m**2 + (-2*m**3 - m**3 + 2*m**3)*(-m + 2*m + 2*m)).\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)\/y**(-6)*(y**6\/y)\/y*y*y\/(y\/(y**5\/y)))**26 assuming y is positive.\nAnswer: y**(1274\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, 1\/9, -0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*l**2 + 4*l + 0*l - 4*l.\nAnswer: 204*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40546 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*y - 10 = -o, -o - 81852*y + 8 = -81850*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {u: 1, x: 2, b: 1, a: 4, k: 2, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20605 = -0*h + 5*g, 0 = -h - 4*g - 10335. Let m = h + 94315. Round m to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 83, 25 in increasing order.\nAnswer: -0.07, 25, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1104?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36819005219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51924 is divided by 5769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4506*x + 2235*x + 2236*x.\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 12*x**2 - 5*x**3 + 6*x**3 - 3 + 15*x**2 to k + n*x**3 + t*x**2 + v*x and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = w + 6, -5*w + 4231*j - 18 = 4234*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 11. Suppose -88 + n = 4*t. Let f = 22 + t. Solve 0 = 3*l - f - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 1, b: 1}. Give prob of sequence mb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = 79*g + 255 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 5*t**4\/4 + 5*t**3\/3 + 5*t**2\/2 + 468. Let x(p) = -2*p + 230*p**2 - 3*p**3 + 0*p - 232*p**2. Calculate -2*s(h) - 5*x(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 214*z + 457. Give i(52).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m + 740 = -35*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 - (-3)\/15. Let w = -0.3 - -0.8. Let f = 58 + -58.1. Put s, f, w in increasing order.\nAnswer: f, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11181 + -11180.9. Let v = 32 - 221\/7. Which is the closest to f? (a) 3 (b) v (c) -2\/13 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgp when three letters picked without replacement from ygpyytyktynggyyy.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, 0, 0.61, 179, 0.2 in descending order.\nAnswer: 179, 0.61, 0.2, 0, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 71?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59260, -59277, -59294?\nAnswer: -59311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-2\/83)\/f*f*f)*f*f**(-5\/4) assuming f is positive.\nAnswer: f**(-407\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141107 + 30756. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(112\/(-27755)))\/(3\/2202). Is a\/(-117) - (-4)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 19, 55, 109?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:21 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d - 4. Let g(q) = -29*q - 23. Suppose -5*p = 5*w - 25, 0*w - 5*w = -5*p + 35. Give p*g(v) - 34*n(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.7557775 to 1 decimal place.\nAnswer: -50.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -475 - 35?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10155 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 - 171.9999902. Round l to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 140*p**2 + 55*p + 55. Let s(l) = -10*l**2 - 4*l - 4. Calculate -4*r(m) - 55*s(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 - 12 = 0. Suppose -o = -3*g + 1. Let a = 49 + -27. What is the lowest common multiple of g and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 9. Let l(p) = -p**2 - 7*p + 1. Let z be l(-6). Suppose 4*s - a - 78 + z = 0, -2*a = -10. What is the remainder when s is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -41.696. Let n = -0.39 - j. Round n to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 - (-1 + 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10 = c, -3*i - c + 6*c + 2 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -66. Suppose 2*v + 40*v = 2268. Calculate the common denominator of f\/(-1)*(-9)\/v and -55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/10*(15\/2)\/(-3). Suppose -2894 = -3*d - k, 10*d - c*d - k - 3861 = 0. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let v = -119 + 121. Suppose 5*b - j + u*j - 22 = 0, 0 = v*b + j - 10. Which is greater: b or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/405 and -93\/2.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -3\/2, 5, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 212. What is x(27)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - 1.04. Let a = 238.8 - 270. Let i = -31 - a. What is the biggest value in 4, i, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 + -344. Let d = k - -113. Suppose d = -7*c - 6. Put 6, -3, c, -2 in decreasing order.\nAnswer: 6, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*x*y**5 - 241*x*y**4 + x*y**3 + 47*x*y**2 + 393*y**2 wrt y?\nAnswer: -960*x*y**2 - 5784*x*y + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 10*r**2 - 1. Let k be d(1). Suppose -3*t + 48 = 33. Suppose -5*f + 3*f + 4 = 0. Solve t*h + k = f*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 12\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 11594?\nAnswer: -11593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 15 = -z, -60 + 21 = 3*z + u - 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.486642 millennia?\nAnswer: 486.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (968285\/(-73780) - 1\/(-28)) + 13.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-48)\/(-20))\/1*15. Let x be 2\/3 - ((-462)\/d)\/7. Solve -2*u = -0 - x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3 + r - 3*r - 3. Let g be z(-4). Suppose f + 12 = -3*f. Put 0, f, g in descending order.\nAnswer: g, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*u - 2*u + 4992 = -6*u. What is the remainder when 1552 is divided by u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5144471541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678 + 1678 + 4894*n.\nAnswer: 4894*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.78 + -75.88. Sort o, 0, 2, 12, -4 in decreasing order.\nAnswer: 12, 2, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -2*(5 - 4)*-29. Let h = 84 + t. Is (-7)\/((-105)\/23148) + (-5)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9430 and 45920.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3, -6, 351, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/6 + r\/3 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13711280 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10.2. Which is bigger: r or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -66074, 1, -14\/3, 0.1?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 84*r**3 - 15*r**2 - 3. Let g(t) = -168*t**3 + 30*t**2 + 5. Let z(m) = 3*g(m) + 5*x(m). What is the third derivative of z(q) wrt q?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*d + 408*d + 276 - 547 - 796*d + 272.\nAnswer: 19*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -113959, 11, 2, 0 in descending order.\nAnswer: 11, 2, 0, -2, -5, -113959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 12*d - 72 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11698.\nAnswer: 2, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5688 and 9576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0633 minus 0.065?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = 2*y, -2*y - 10 = -5*x + 3*x. Let z(d) = -d**3 - 9*d**2 - 17*d + 8. Let s be z(y). Solve -s*f = f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5, 3*m - 5*k = -10*k + 11. Solve -j = 4*u - 6*j - 11, 0 = -u - m*j - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 31*f + 54 + 23 = -2*h - 4*h, 15 = 5*f - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = p, 6 = 2*p - 5*x - 28. Let l(v) = -v + 7. Let j be l(p). Let f = 5 - 4. Put -1, j, f in descending order.\nAnswer: f, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 12}. Give prob of picking 2 g.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**3 + a. Let u be r(-1). Let h be (-36)\/60*(-2 - (-12)\/(-4)). Solve w - u*w - y - 8 = 0, 0 = 2*w + h*y + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b - 6. Let r be v(3). Let h(q) = 20*q + 4 - 29*q - r*q - 32*q. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1520164 to the nearest 1000.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/(i\/(i*i**(2\/3)))))\/i*i*i)*i)**(22\/3))**19 assuming i is positive.\nAnswer: i**(2090\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 24*p = -221 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29708, 29717, 29714, 29693, 29648?\nAnswer: 29573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5873127 times 19\nAnswer: -111589413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11836 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 4, t: 1, r: 1}. Give prob of picking 1 p, 1 t, 1 r, and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 788537769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -343904\/1167 less than -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 + 10*m - 21. Let l(y) = 8*y**2 + 13*y - 19. Let z(c) = -4*l(c) + 3*n(c). What is z(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and -0.02625.\nAnswer: -0.06625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(12\/8))\/(-1). Let j be (-4)\/12*b*90. Suppose f + 4*f + j = 4*g, -3*g = -5*f - 50. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 390655891 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19712 or 19716?\nAnswer: 19712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 27.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3601 (base 7) to base 6\nAnswer: -10044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/4)*r)\/r)\/(r**(3\/2)*r)*r**(6\/5)*(r*r*r*(r\/r**(1\/7))\/r)\/r)\/(r**(2\/13)\/(((r*r**(-7))\/r)\/r*r))**(-12\/7) assuming r is positive.\nAnswer: r**(21969\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:05 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*p + 4*u, -23 + 4 = -5*p - u. Suppose 10*y + 25 - 115 = 0. Suppose y = 6*c + 3*c. Solve -2*j + c = p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4154 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, d: 5, g: 2, x: 4, u: 5}. Give prob of picking 1 x and 3 a.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 247351096 a multiple of 1303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19*180135\nAnswer: -3422565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 3)*(4*s - 3*s - 2*s) + (-2 + 0 + 0)*(2*s - 2 + 2) to the form l + v*s and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5048524 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u**3 + 3*u**2 - u. Let w be b(-3). Let d be (-1 - 0)*(-15)\/3. Suppose 0 = -2*j + d*j - w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 22. Let m(r) = -62*r - r + 65*r + 22. What is -5*f(h) - 4*m(h)?\nAnswer: 2*h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204106 (base 7) to base 11.\nAnswer: a479a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 16*r - 207. Let d(x) = 10*x**2 + 69*x - 924. Let b(l) = -2*d(l) + 9*k(l). Suppose -2*z = -7*z + 30. Let p(s) = -s + 1. Give z*p(u) + b(u).\nAnswer: -2*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, m: 6}. What is prob of sequence mmhm?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16381216 is divided by 9126.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20658 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + 3. Let v(b) = -1 + 3 + b + l. Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let 0*o**4 - o**3 - o**3 + i*o**5 + 0*o**4 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 196 = -4*t + 46, 0 = g + 3*t - 95. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40008987 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1358839125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11377354 or -11377275?\nAnswer: -11377275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*10\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = -4*l, 2*l = 2*x - 4*x + 10. Let i = 54 + -54.06. Let b = i + -2.94. What is the nearest to 2 in -4, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2661849 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46296858883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315001964*u**2 + 630003933*u**2 - 315001964*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 8 + 7 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/9 - 104*x**4\/9 - 550*x**3\/3 - 1012*x**2 - 1680*x = 0. Calculate x.\nAnswer: -28, -15, -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 6*x + 3. What are the prime factors of -1 + x - 0 - -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 30*p**2 - 76*p + 93. What is q(8)?\nAnswer: 1405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.843 - 0.023. Let g = -0.7 + m. Let c = -1.04 + g. What is c rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upsssssuspsssss. Give prob of sequence sp.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -55*y**5\/6 - 12761*y**4\/6 + 322343*y**3\/6 + 1955*y**2\/2 = 0.\nAnswer: -255, -1\/55, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -7563.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + a - 27 - 32 = 0, -4*x + 3*a = -243. Suppose 3*l = 6*l - x. Calculate the highest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.9820141 less than 0?\nAnswer: 195.9820141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1068 and 16?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose s = -3*n, -n = 3*p - 5*p + 4. Solve -5*x + 23 = p*a, 5*a + 0*x + 20 = 3*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-101)\/(-18) - 1\/9. Which is the second biggest value? (a) -2\/5 (b) -0.5 (c) 0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 106*d**3 - 1714*d**2 + 7958*d - 6348.\nAnswer: -2*(d - 23)**2*(d - 6)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 541764 and 2533?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 1, x: 1, d: 3, s: 1, z: 4}. What is prob of sequence xza?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*s - 2 = 0, -s = -3*b + 3*s - 2. Suppose -m = -3*m - b. Let z = 100\/399 - -2\/57. What is the third smallest value in m, -1\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384427413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17598590 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/5)\/(-5 + 4306\/860). Let z = v + 173. Suppose -4*x = -2*x. Solve x = -a - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36172 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5464 (base 7) to base 2\nAnswer: -11110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3589 and 273763.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4 + -6)*-1. Suppose -22 = -z - k. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 4\/(-4) - -2) + -4. Let v be i\/9 + (5 - 387\/81). What is the closest to v in -32, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/12 + 3\/12. Let o(x) be the second derivative of 0*x**2 + 0*x**3 + 0 - x - 5\/12*x**r. Calculate o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*f**2 + 522*f + 465.\nAnswer: 3*(f + 1)*(19*f + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 1. Let w(n) = -7*n + 3. Calculate -10*t(x) - 6*w(x).\nAnswer: 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 65, 74, 83?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137898727 and 84841?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -5 + 1 + -1. Let f(m) = -4*m. Let v be f(-1). Suppose -v*i = -4*n + 108, q = -3*i + 2*i + 1. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -7, -140?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1168258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - -265.4. Let z = -4 - -7. Suppose 398 - 146 = -36*m. What is the third biggest value in z, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45257179 and 18352?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-35) + (-272)\/5. Let n = -30 - d. Calculate the remainder when 73 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f + 2\/5*f**3 - 9\/20*f**4 + 0*f**5 + 1\/10*f**6 - 5 + 0*f**2. Factor p(a).\nAnswer: 3*a**2*(a - 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6805?\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 1388*r - 6925. Determine l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/103)\/i**(1\/7) assuming i is positive.\nAnswer: i**(-117\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-1)\/(-1))\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*5*-2. Let v = 0.019 + -0.489. Let a = 0.07 + v. Put f, a, -0.2 in increasing order.\nAnswer: f, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.5 - -9.4. Let d = 5 + -3. Put d, -0.4, z in increasing order.\nAnswer: -0.4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227.9999455 + 228. What is y rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y - 2 = 44*y. Is y bigger than 1\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/30 + 740\/75. Suppose -3*h = -3*x - h + f, 0 = 4*x - 3*h - 12. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/21 and 93\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140367 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + 99 - (1 - 6 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 1943 + 4*r**2 + 28*r + 2*r**2 - 1798 - 2*r**2. What is s(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 7*p**2 + 4*p + 6. Let x be s(6). List the prime factors of 2*3\/(-18)*x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6415230 (base 7) to base 16.\nAnswer: -bdc8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**4 - c + 344 + 2*c**3 - 344 as z + g*c**4 + o*c + d*c**2 + l*c**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 4*f**7\/105 + 4*f**5\/15 - 9*f**2. Find the third derivative of n(w) wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17854232 to the nearest 10000.\nAnswer: 17850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 38*z + 121. What is the smallest common multiple of 4 and n(-11)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-5)\/(-17)*123\/615?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/50 - 17*h**4\/60 - 46*h**3\/15 + 168*h**2. Factor a(r).\nAnswer: 2*(r + 2)*(3*r - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9704.744 millennia to centuries.\nAnswer: 97047.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + 9 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350320 (base 8) in base 9?\nAnswer: 201203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 >= -102\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0\/4 + (-2)\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:23 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let f(j) = 24*j. Let q(g) = -11*g. Suppose 5*d - 4*l - 27 = -0*l, -l = -d + 6. Let v(z) = d*f(z) + 5*q(z). Determine k(v(o)).\nAnswer: -578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1493203298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (2 - 0) + -2. Suppose -2 = 8*x - 10*x. Which is greater: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 + 55 - -107 - (8 - 2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(112\/(-63))\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/4)\/n*n*n*n*n)\/n*n*(n\/(n\/(n*n**(-1\/18))*n))\/n)\/(n**(-2\/15)*n*n**15) assuming n is positive.\nAnswer: n**(-2461\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 533364062 less than 533364063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2618 - 2617. Which is the closest to u? (a) -87 (b) 2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -12*x**3 + 1357*x - 2034*x - 1523*x + 544*x**2 - 9*x**3 + 2208 + 23*x**3 = 0. What is x?\nAnswer: -276, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 686675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 2*l**2 - l**2)*(l**2 - l**2 - l**2) + 55*l**2 + 54*l**2 - 112*l**2 - 56*l**4.\nAnswer: -57*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64782, -64813, -64846, -64881, -64918, -64957?\nAnswer: -64998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + -156. Find the common denominator of d\/(-56) + (-3)\/(-15) and (-2)\/((-64)\/(-226)) + 1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.86448 - -0.13552. Which is the closest to d? (a) 2\/15 (b) 1\/3 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**7\/105 + 2*x**6\/15 + 11*x**5\/15 + 2*x**4 + 3*x**3 - 9909*x**2. Find h, given that p(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-3)\/10*280\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31292 - 31124 = 14*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*t**2 + 216*t**2 + 217*t**2 - 9*t.\nAnswer: -t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 divided by -3?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 960*c**2 + 2355 - 150*c**3 + 412 - 961*c**2 + 801*c**3 wrt c.\nAnswer: 1953*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10540 + -11120?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a - 5. Let d(b) = 11*b - 11. Suppose 687*p + 3*t = 692*p - 17, 0 = 5*p + 5*t - 65. Let y be (5 - 3)\/(2\/(-3)). Determine p*u(k) + y*d(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - a - 9*a - 18 + 121 + 5*a. Let n(b) = 2*b**2. What is p(n(h))?\nAnswer: -4*h**2 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13148 is divided by 2179?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnnonqjnqqjnqqqnoqq. What is prob of picking 1 j and 2 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/3)*c\/(c*c\/(c*c*c**(-1\/5))))**(3\/19) assuming c is positive.\nAnswer: c**(47\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -2*b**3\/3 + b. Calculate the remainder when 23 is divided by i(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + 2*h + (-4 + 8 + 1)*(3*h - 5 + 5).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/8)\/(1\/(-2)) - -46362?\nAnswer: 3, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.534 and -301490.\nAnswer: 160995.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363203 and 7627?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w)**(1\/3)\/(w**(3\/5)\/w**(-2\/3)) assuming w is positive.\nAnswer: w**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 = m - 3*q, m - 2*q - 5 = 0. Suppose 90 = -6*u + 114. Sort -3, u, m in ascending order.\nAnswer: -3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, x: 3, o: 1, e: 4, l: 4, m: 2}. What is prob of picking 1 y and 1 o?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + 281. Calculate the greatest common factor of 54 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5362887 centimeters?\nAnswer: 0.005362887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 19*m - 92. Let b be l(-23). Solve b = 969*h - 960*h + 72 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n - 10. What is the lowest common multiple of 420 and j(-20)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 + 0*j**2 - j**2 + (4*j + 0*j - 2*j)*(3*j + 0*j - 5*j) + 0*j**2 + j**2 - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -474279.\nAnswer: 474268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6205890*v**4 - 35630071*v wrt v.\nAnswer: -74470680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7*(6 + (-39501)\/(-49))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 25. Solve h*y = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**4\/8 - 2*v**3 - 9*v**2\/4 + 17. Factor i(m).\nAnswer: -3*m*(m + 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -33 + 38. Suppose 4*l + 4 = 0, 3*k = l - 33 + 109. Solve 4*m - 3*n = 15, -3*m - m = q*n + k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-2*r + 3*r + 4*r) + (0*r - 3*r + 7*r)*(0 - 1 - 1) as m + p*r and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*s - 4. Let w be 2\/8 - s\/(-6). Suppose -4*r = 3*b + 15, -42 = -2*r + 5*b - 43. Put r, w, -5 in decreasing order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m*m**5\/m*m))**26*(m*m**(-5))\/(m*m*m\/(m**(-2\/37)\/m)))**(-45\/2) assuming m is positive.\nAnswer: m**(158220\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 + -20020210?\nAnswer: -20011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 9*p**3 - 8*p**3 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 270 = 21*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1398)\/(-9)*(-18)\/(-12). Let r = p + -58. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 3, k: 1, b: 2, j: 1}. What is prob of sequence pkp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11\/511, -3, -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x. Suppose 2*c - 2*j = 6, x*c + 4*c + j - 17 = 0. Sort 1, -6, c.\nAnswer: -6, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11231134?\nAnswer: 2, 491, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/605*11 + -29?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d + 2151 - 14*d**2 - 2158 - 13*d**2 + 2*d**2 + 5*d**2. Let y(l) = 10*l**2 + 6*l + 4. What is 4*s(z) + 7*y(z)?\nAnswer: -10*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -7. Let l(b) = -b - 2. Suppose -3*c = -0*c - m + 7, 3*m + 11 = c. Let s(a) = -a - 2. Let o(z) = c*s(z) + 5*l(z). Give o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**6 - 44*k**6 - 1538*k**4 + 1536*k**4 - 215*k**2 wrt k?\nAnswer: -6720*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 58 = 4*u - 18, 14 = -2*u + a. Sort -2, u, 2 in descending order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44 (b) 2\/15 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(6\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(3) + (sqrt(224) - (sqrt(224) + -1*sqrt(224))))\/((sqrt(10) + sqrt(10) + sqrt(10) + -2*(sqrt(50)\/sqrt(5) + sqrt(10)))\/sqrt(5)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 35 - 2*q**2 - 35 to p*q**2 + s*q + c and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5, -264 in decreasing order.\nAnswer: 5, -1, -3, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (3*sqrt(76)*-1 + sqrt(76) - sqrt(76)))\/sqrt(4))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*u**2 - 829*u + 89*u - 38*u**2 - 29*u**2 + 7.\nAnswer: -13*u**2 - 740*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let p be x(1). Let k(h) = 3*h**3 + 3*h**2 - 2*h + 5. Let c(z) = z**3 + z**2 - z + 2. Let v(o) = -5*c(o) + 2*k(o). What is v(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003410340 (base 5) to base 4.\nAnswer: 13223200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 0*x**2 - 10*x**2 + (-3 + x + 3)*(-x + 3*x - 4*x).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 4. Let h be m(-5). Suppose k - 4*o - h = -3*k, -16 = -4*k + 3*o. Let b(w) = 2*w**2 - 3*w + 6. Is b(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1548744 divided by 376\nAnswer: 4119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 0*b**4 + 1 + b**4 + 4*b)*(-4 + 3 + 4) to the form z*b**2 + x*b + v*b**3 + a + t*b**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -2, -1, 0, -7 in descending order.\nAnswer: 0, -1, -2, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1794 or 1789?\nAnswer: 1794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 71, 0.17, -2504, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 9\/2*c**2 + 0*c**4 + 0*c**3 - 3\/10*c**5 - 2*c + 0. What is the derivative of o(x) wrt x?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 4, l: 3, s: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m**2)*(-4*m**2 + 4*m**2 - 4*m**3) + m**5 + 0*m**5 + 0*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44534 + 4206 = 3*n - 13*n. Is n != -4874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2720 = -103*j - 2926. Let d(t) = -t**2 - 4*t + 1. Let h be (-8)\/(-6)*(2 + -5). Let y be d(h). Sort y, -4, j in ascending order.\nAnswer: -4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**5\/20 + 3*l**4\/8 - l**2\/2 - 37*l - 50. Let p(z) be the second derivative of x(z). Factor p(m).\nAnswer: 3*m*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 1, l: 1, j: 6, d: 3, i: 4, g: 4}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+33128874785858\nAnswer: 33128874785857.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79526927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-11)\/((-12040)\/(-400) + -29)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x + 1. What is o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00554716 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 21. Suppose 34 + 42 = q*s. Factor 1\/6 + 3*a + 27\/2*a**s.\nAnswer: (9*a + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 - -261. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:57 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (58 + -62 - (-3 - -10))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 35*a - 34*a - 8338 = 0, 2*g = -5*a + 3326. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*c**3*t**3 + 126*c**3 - 106*c**2*t**3 - 4*c**2 - 1 with respect to t.\nAnswer: -93*c**3*t**2 - 318*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3438299 and 2.8.\nAnswer: -9627237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -11 - (-36 - 10 - 8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*u - 6 = 0, b = 2*u - 8880 + 8859 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.39 and 96?\nAnswer: -37.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/560 - z**7\/70 - z**6\/24 - z**5\/20 + z**3\/2 + 3*z**2. Let b(q) be the first derivative of t(q). Factor b(k).\nAnswer: -3*k*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.92 + -31. Let k = s - -19. Let a = k + -0.1. Round a to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551920032 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1516426um?\nAnswer: 151.6426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)*l**(2\/11)*l)**20 assuming l is positive.\nAnswer: l**(5900\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216345 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4590048 millennia?\nAnswer: 459.0048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let i(m) = -6*m**2 + m. Let x = 22 + -21. Let p(l) = x*i(l) - 2*c(l). Let n(f) = 2*f. Calculate p(n(y)).\nAnswer: -24*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + -2 + sqrt(2736)*-4.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6292)*-22*-11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 8 = -30*l - 3*w, 2*w - 10 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21969\/4 - 5493. Suppose -4*c + 5*g = -5*c - 17, g = 3*c - 13. Suppose -33 = 2*t - 7*t - 2*o, -5*t = c*o - 37. What is the nearest to a in t, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/78 and -8\/400335?\nAnswer: 800670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13464 + -0.05464. Put -5, -6, 0.6, 0.5, i in descending order.\nAnswer: 0.6, 0.5, i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.46 + 3.46. Put -5, 1\/9, j in ascending order.\nAnswer: -5, j, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:33 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t + 4*x + 1 = 49*t, 5*x = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:30 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30923 - -278309\/9. Find a such that 26\/9 - m*a**2 - 8\/3*a = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-20 - -18 - 31).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -741 - -746. Calculate the remainder when 74 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 58*m = 23*m - 154 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31072680?\nAnswer: 2, 3, 5, 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4532887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113222519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 7615217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r + 2*r**2 + 4*r**2 + r wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/41)\/((r\/(r*((r*r**(-23)*r)\/r)\/r))\/r)*(r\/r**(-34)*r)\/r**6 assuming r is positive.\nAnswer: r**(330\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6, 2\/87, 16, -2, 0.029 in ascending order.\nAnswer: -6, -2, -0.3, 2\/87, 0.029, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - o - 68, -6*l + 3*l - o + 51 = 0. Suppose -l = -4*y + 7. Let b be (10\/4 - 1)*12\/6. Calculate the highest common factor of y and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 95*v + 1304. Determine t(-42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39076279*y**5 - 327139*y**2 + 98*y.\nAnswer: 2344576740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22687, 45438, 68189, 90940, 113691?\n\"Answer: 22751*z - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 667808.5 and -16?\nAnswer: 667824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p*p**(3\/7)\/p)\/p))\/p**(2\/53)*((p\/p**(1\/5))\/p)**(-7))**(-35) assuming p is positive.\nAnswer: p**(-1732\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/81 and -35\/603.\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5206 and 1918.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2469 = -4*h - u, -u - 3*u - 3060 = -5*h. Is h\/(-84)*150\/(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:17 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let x = -5 - z. Let d = x - -39. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-10)*u)\/((u*u**(-8))\/u*u)*u\/u**(-23)*u**(-29) assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 46910 - 46504 = 0 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = -12*u. What is the remainder when 18 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22116*p**2 - 5790*p**2 + 4630*p**2.\nAnswer: -23276*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 0, -6 - 11 = 3*y - 5*n. Let u = -1 - y. Let x(s) = -4 - u*s + 4. Let r(p) = p**2. Determine r(x(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/(4\/(-144)). Sort 4, 1, 2, w in decreasing order.\nAnswer: w, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/((-6)\/(-24)). Let c(k) = 12*k**2 - 3*k + 1. Is c(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 72*c + 14. Let r(d) = -73*d - 13. Let k(y) = -6*h(y) - 7*r(y). What are the prime factors of k(1)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3 (c) -5299 (d) -119 (e) 212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + -4*sqrt(17)*-5.\nAnswer: 8 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -47. Suppose 0 = 3*w - 38 + 5. Suppose w = u - 4*y - k*y, 3*y = -2*u. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8640516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -c7e (base 15) to base 8\nAnswer: -5403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 8*f + 5. Let d be g(8). Suppose d*h + 2 = h - 5*i, -i = -5*h + 12. Calculate the common denominator of 81\/2 and (-141)\/(-15) + h\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26995005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 - 1. Let d be w(-5). Let h = -413\/2938 + -3\/226. Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 176*c + 2505. Calculate the remainder when 2062 is divided by k(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-6)*6\/(-10). Suppose 5*f = 3*g + 12, 0 = -3*f + k*g - g + 8. Suppose 4*w + 5*j - 711 = f, 5*w + 0*j - 891 = -4*j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 6:11 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12)*-6*(-2)\/1. Suppose -m + 4*m - 243 = -o*x, 3*x = m - 73. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.922 - 0.058. Let k = x - 0.02. What is the biggest value in k, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*r + 9 = 38, -8 = 5*t - 4*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akt when three letters picked without replacement from {a: 2, k: 1, e: 1, p: 2, t: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -1321*l**6\/6 + 2*l**3\/3 + 80*l + 976. Find the third derivative of h(g) wrt g.\nAnswer: -79260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 61\/12134 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s**2 - 6. Suppose o - 4*u = -13, o + 4*u - 8 = u. Suppose 0 = 3*z + p + 4 - 3, -4*p + 10 = -2*z. Let r be (-9)\/o - (2 - z). What is y(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let j = -2 - -4. Let f be o(j). Suppose -70 = -5*m - 5*t, -2*m = -f*m + 3*t + 18. Calculate the greatest common factor of 48 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2, -1\/6, 1, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:16 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 2*f + f)*(7 - 5 - 1)*(-f + 0*f - f) in the form q*f**2 + m*f + z and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 10, 41, 94, 175, 290, 445, 646?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102253.1? (a) 0 (b) -6\/131 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f = 3*w - 40*f - 5, 0 = -4*f + 16 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -90.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z - 44. Let v be b(-5). Let q = 0 + -1. Let f = v + q. Solve -f = -2*a + 5, 4*t - 20 = -4*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-26)\/14560*-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ad3 (base 14) to base 16.\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 4*r - 5*r - 27.\nAnswer: -r - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + ((-4572)\/3)\/4. Is r\/12*2*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4079, -6 in ascending order.\nAnswer: -23, -6, 4079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (134\/6030)\/((-1)\/(-6))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*j**6 + 8*j**2 - 54 - 6*j**2 + 28*j**6 wrt j.\nAnswer: 5160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 310 = -6*h - 2*v, -2*h - 123 = v. Let n = h - -67. Find the third derivative of 102*m - 51*m - 51*m - n*m**5 + 7*m**2 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*y - 12*y**2 + 42*y)*(2*y**2 + 3*y**2 - 2*y**2).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6063149 times 1?\nAnswer: 6063149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96505884 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 9*g**2 - 18*g + 13. Let h(i) = -i**3 + 5*i**2 - 9*i + 6. Let l(w) = -7*h(w) + 3*x(w). Let c = 5 - -2. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from bob?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/140 - (3\/7)\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d - d + 3*d)*(-19*d + 18 + 14*d + 7*d + (0 - 7 + 3)*(-5*d + 0*d + 3*d)) to the form n*d + j + a*d**2 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -17. Suppose 3 = 3*i - d. Solve -2*w = -i + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -5\/12*d**4 + 53\/6*d**3 - 50*d + 0 + 0*d**2. Find the second derivative of h(m) wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - 1 - (662 - 721)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346881 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n - 34. Let p be s(-7). Suppose 3*d = 2*c + 104, -2*d + 0*c + p = 4*c. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11746 - -3675. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/3)\/(2\/(-3)). Let j(c) be the first derivative of -1\/12*c**i + 1\/3*c - 1\/9*c**3 + 1\/6*c**2 - 1. Let j(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164547?\nAnswer: 353, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -596.8 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 289229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 157827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11995350 divided by -2?\nAnswer: -5997675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:37 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 + 6*u**2 + 4 - u + u**3 + u**3. Let t be d(6). Let h = t - -12. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.81 - -26.4. Let t = 2.41 + y. Which is the nearest to t? (a) -5 (b) 4\/7 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 769.77 + -737.8. Let n = -32 + u. Is 2\/7 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 + 5*p**4\/12 + p**3 + 2*p**2 - 8*p. Let i be 1\/(-1)*(-7 - -2). Is 16 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15. Let m(a) = -47*a + 3. What is the tens digit of m(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(49)\/(sqrt(7)*1)*4 + 2 + -4.\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*y - 192505218 = -269631208 - 254959758. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*m - 364*m + 728*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = t + 2*t, 0 = -4*t - d + 21. Let u be 38435936\/12 + 5 - (-2)\/t. What is u rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243))**2 + (sqrt(6)\/sqrt(2))**2 + 3.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -84c2 (base 14) in base 3?\nAnswer: -1011102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 3*t - 4. Let v be (2 - 1)\/(3\/(-18)). Let b = v - -2. Give p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 26. Let q be u(-5). Let s be ((-66)\/4)\/((-6)\/(-8)). Do s and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 1, q: 1, y: 2, z: 2, a: 5}. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74463 - -671546\/9. Let h = -56 - -209. Let v = h - i. Is v at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347580 divided by 18\nAnswer: 19310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 5:34 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -784253 * 11.3\nAnswer: -8862058.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(162))**2 - (1 + (4 + sqrt(200) - sqrt(200)))**2.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 11*o**2 - 3*o - 7. Give v(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - k - 6 = 0, 3*k = 2*s - s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 15, 4*l + 2*u = -0*l + 154. Let s = l + -26. Let b = s + 5. Calculate the remainder when 47 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 + -123. Put c, 4, 1 in increasing order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137115?\nAnswer: 3, 5, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7, 0.5, 0.03, 202?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:50 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 965 divided by -31?\nAnswer: -965\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/164, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = s - 2053358, 9*s + s = j - 513401. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9391 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 199639 and 148753?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024524111119 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = -11*c + 315 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148737 - -148738. Let i = 1.2 + 5.8. What is the biggest value in i, l, 0.1, 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -18\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 13\/3, -1, -23\/5, 1\/3, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 - 845*c**4 - 4*c**3 - c**3 + 847*c**4 - 2 - 1 to the form b*c**3 + r + m*c**4 + v*c**2 + u*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 + 85*z - 4065. What is the units digit of v(62)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -7 (c) -5 (d) 0.0466 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 4 - 7 - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**6\/3780 - z**5\/180 + z**4\/42 + z**3 - 51. Let n(v) be the third derivative of w(v). Factor n(r).\nAnswer: 2*(r - 6)*(r - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152645 is divided by 151302?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/56*54\/(-378))\/(-1*1).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -191027966*w + 194888965 wrt w.\nAnswer: -191027966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -1\/106209?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:37 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - 126 + f**2 + 1353*f**3 + 457*f**3 - f + 685*f**3 to the form k*f**2 + t + z*f + c*f**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*d**3\/13 + 1902*d**2\/13 - 56*d\/13.\nAnswer: 2*d*(d + 28)*(34*d - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 152\/33? (a) 2\/23 (b) -0.4 (c) 4 (d) -2\/9 (e) 0.12 (f) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11.8. Let g = 4.2 - r. Which is the second biggest value? (a) 1 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llclcclcclll. Give prob of picking 4 c.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168776.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 q, and 1 f when four letters picked without replacement from {r: 7, q: 12, f: 1}.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84280*a*g**3*w**2 + 2*a*g**3*w - 115*a*g**3 - 2*a*g*w - 59*a*w wrt w?\nAnswer: 168560*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1276 divided by 4\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/51)*u\/u**8*u**(2\/17)\/u**2)**(-15\/8) assuming u is positive.\nAnswer: u**(2255\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 8*t**2 - 133*t - 101. List the prime factors of x(-9).\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71114380 less than 39.07?\nAnswer: 71114419.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 5*t - 8. Let v(s) = -s**2 + s + 1. Give -5*v(l) - y(l).\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 3 = 38 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqqvvvwwvvvvvv. Give prob of sequence wv.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 45. Let l be -2 - (-68 + -4) - j. Let d be 27\/(-6)*l\/(-15). What is the highest common factor of 231 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:10 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 458*r**2 - 463*r**2 - 343*r - 1 - 26*r + 36*r**5 wrt r.\nAnswer: 720*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let g be p(-1). Solve 3*y - y**2 - y - g*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 + 11*u**2 + 13*u + 99. What is the hundreds digit of g(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 175 (c) -12\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 43*w + 138. Let h be l(17). Put h, -81, -2 in descending order.\nAnswer: h, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 2.1674. Let q = -0.027 + v. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:27 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 435761183?\nAnswer: 435761183.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3055*j**3 - 2*j**2 - 11*j + 18. Let v(f) = f**3 - 8*f**2 + 16*f - 18. Let n be v(6). Let k be p(n). What is k rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h + 0 - 5\/6*h**4 + h**2 - 1\/12*h**5 + 0*h**3. What is the second derivative of n(o) wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**2 + 122*y**4 + 0 + 139*y - 2334*y**4 - 5 + 5 wrt y.\nAnswer: -53088*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + g - 1. Let u(n) = -n**3 + 23*n**2 + 32*n + 32. Let l(r) = -2*j(r) - u(r). What is the remainder when l(19) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40553147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f**3 + 15*f - 3. Let v(o) = 4 - 4*o**3 + 14*o**3 - 229*o + 215*o. Let s(n) = -3*v(n) - 4*z(n). What is the second derivative of s(c) wrt c?\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*c + 3 = -2*d, 4*d = 5*c. Suppose -6*z + 4 = -d*z. Solve z*m = 2*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3161539061.\nAnswer: 31, 3469, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -12?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121243 + -53?\nAnswer: -121326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -20 + ((-5 - 13) + -4 - -30)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + 1 - -10 - 2) + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 45 = -30. Let b be (-6)\/n*1*(-70)\/(-7). Let k be (b\/18)\/(6\/54). Solve -2*s = -4*x + 12, -k*s + 4*s + 3*x = 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148617248184 plus -1896?\nAnswer: -148617250080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 129*i**2 + 70140*i + 347100 = 0 for i.\nAnswer: -130, -5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31923395*p**2 - 60 - 31923395*p**2 + 2*p**3.\nAnswer: 2*p**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3508 take away 2015137909.5?\nAnswer: -2015137909.8508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -17. Let v = -7 + r. Suppose -o + v*o - 21 = i, -2*o + 3*i + 13 = 0. Sort o, 1, -2 in decreasing order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*l + 43*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68 + 2*1\/(-2). Suppose p + 0*x = x + 25, -t = -3*p + x. 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: What is the next term in -530291, -1060581, -1590869, -2121155, -2651439, -3181721?\nAnswer: -3712001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388\/81 or -6?\nAnswer: -388\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223201012 (base 4) in base 15?\nAnswer: dd259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 58 - 43. Let l(q) = 34*q + 27. What is the units digit of l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p*p\/(p*p*(p**2\/p)\/p*p*p*p)*p)\/p)\/p)**(-2\/13)*p*p**(-2\/3)\/p*p**(-9))**26 assuming p is positive.\nAnswer: p**(-730\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 + 5*d**2 - 45 - 104 + 38 to g*d**2 + j + r*d and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3560 + 32.\nAnswer: 3592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -0.152625.\nAnswer: 2.847375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/(10\/50). Let k be 126\/28 + t\/(-4). Suppose 0*o - o + 510 = -k*g, 5*o = 3*g + 2638. Round o to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 16*t - 22. Suppose -t*g + 7*g = -8. What are the prime factors of (-4)\/8*(g - 26)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 409 - -269400153143\nAnswer: 269400153552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 4*l = 33*c + 13, 0 = 4*l + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 0*t**2 + 2*t**2 + 0*t**2 - 3*t**2 - 8*t**2 + (2 - 2 - 2)*(8*t**2 + 5*t - 5*t).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -276*(3178\/84 + -38)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/28)\/(2\/16*(-24)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - u - 2*u + 2*u - 38.\nAnswer: -2*u - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + c - 2 = 28, -4*s - 40 = 2*c. Let r = 12 - -8. Let f = r + s. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1572*a + 1513*a = -7080. Solve i = -19*i + a for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 870510*s**3 + 37413747585*s**2 - 41404538946420*s + 11311452637928820.\nAnswer: 5*(s - 543)**2*(s + 87594)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 7 = 5*w - 24, -4 = -2*w + 2*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1674736834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -1\/30 (c) 0.0514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 434\/9. Which is the third smallest value? (a) 3 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**26)**(-3\/32) assuming c is positive.\nAnswer: c**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14080 divide 848122880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 613, 909, 1197?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r**3 + 43*r**2 - 345*r + 1030. Calculate a(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*r + 26960, 3*r + 0*r = 0. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 184472192 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/6)\/11*-2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11472900 by -17175.\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5\/4 - 651*u**4\/2 + 189795*u**3\/4 - 2688669*u**2 + 61067520*u - 421070400 = 0?\nAnswer: 12, 40, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -977*c = -1008*c + 62. Put -10, -2, c, 1 in decreasing order.\nAnswer: c, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j - 6 = 0. Let q(g) = -g**3 - 2*g**2 + 1. Let w be q(-2). Suppose w + 2 = h. Are j and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 15. Suppose 0 = 3*b + 4*a + 14, -4*a + 30 = -3*b - 16. What is the lowest common multiple of p(b) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 - 2.2. Let m = -1 - w. Which is the third biggest value? (a) m (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776574 (base 8) to base 5.\nAnswer: 31332000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 22 = 3*q + 4, 3*v + 18 = 0. Which is the closest to -38\/7? (a) 4 (b) q (c) -0.5 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -7*d**2\/2 - 18*d + 1. Let r be 1\/(-6) + ((-909)\/54 - -9). Is w(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 32. Suppose -2*j = 3*t + 33, -7 = 2*t + 3. Let f = j + c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2. Suppose 0 = 5*u + 10, 0 = 4*h - 3*u - u - 8. Let d(q) be the second derivative of 0*q**3 + h + 0*q**2 + 13\/12*q**4 + 5*q. Calculate d(g(n)).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 677 or 136?\nAnswer: 677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(m*m**3)*(m**3\/m)**(4\/5) assuming m is positive.\nAnswer: m**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, 178, 651, 1308, 2143?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k + 3. Give n(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -19\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 23*c + 26. Let w be (-23 - -21)\/(3\/((-18)\/4)). Let j(u) = -u**2 - 8*u - 9. Let h(s) = w*o(s) + 8*j(s). Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 20. Let r(q) = 1. Let u(j) = -r(j) + t(j). What is u(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a + 1 - 4*a - 2*a**4 - 7*a**2 + 20*a**3 + 11*a + 7*a**2 to the form o*a**3 + h*a**4 + q*a + s*a**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + (0 - 5) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 + -46) - -3.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 22 + (-45424)\/2720?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/11)*m)**(-15) assuming m is positive.\nAnswer: m**(-150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = 5*g, 4*k - 7*k = 4*g + 7. Let d = -7 + 7. Put -1, d, k in decreasing order.\nAnswer: d, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-8)\/j))**(-50)\/((j\/j**(2\/5))\/(j**(-3)\/j)) assuming j is positive.\nAnswer: j**(-2523\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose -10 = g*k - 16. What is the lowest common multiple of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 9. Which is bigger: w or 20\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11634795\/6262 - -1858. Let l be (-6)\/(-15) + (-886163)\/(-563580). Let w = l - z. Find the common denominator of 59\/40 and w.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -91*s**2\/2 + 697. Let t(m) = 17*m. Give t(j(z)).\nAnswer: -1547*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 3. Let z be 3 - (25 - (i + 0)). Let q be (5\/z)\/((-3)\/5). What is the nearest to q in -4, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 294*y**2 - 283*y + 1648. Determine c(-146).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u**2 - 50*u + 935. Let d(v) = v**2 - 4*v + 78. Let a(k) = 3*b(k) - 35*d(k). What is t in a(t) = 0?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 2. Let a be (-66)\/33 + 3\/(3\/(-4)). Let j(t) = 14*t + 6. Determine a*j(x) + 17*k(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -0*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*1*(-24)\/(-80)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/4 - (-1 - 0). Let s(q) = 0*q**p + 5*q - 3*q - 1 - q**2. Let v = -27 - -29. Calculate s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3827 = 3*j + 2*m - 3*m, -4*j + 5105 = m. Is j - (-2 + 3)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1697.79 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268344 a multiple of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 - 151. Let 28*i**5 - 134*i**4 - 137*i**2 - 10 + 2 + 64*i + g*i**3 - 45*i**2 + 148*i**3 = 0. What is i?\nAnswer: 2\/7, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o - 344. Let p be l(34). Let n be 2\/(-5) - (-4 + 123\/p). Let j = -2 + 3. Which is the nearest to j? (a) 0.9 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 283*j**2\/2 - 209*j\/2 - 35.\nAnswer: -(j - 70)*(j - 1)*(4*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8649 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 3*l + 2. Let b be p(-3). Suppose b*f + 8 = 4*f. Suppose 6 = f*n - 2*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(0*y + y**2 + 0*y) + (-2*y + 0*y + 0*y)*(y - 4*y + y) + 6 - 6 - 6*y**2 as d + u*y + m*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1458222, -1458180, -1458138, -1458096?\nAnswer: -1458054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534182 is divided by 382.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*h**2 + 73839\/5*h + 478242\/5 + 3\/5*h**3.\nAnswer: 3*(h - 163)**2*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3280513957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 37*f + 56. Let l be (-9)\/(-72)*284 - (-2)\/(-4). What is the least common multiple of 21 and d(l)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2 - 3) - 3. Which is smaller: f or -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9073 and 602.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.0132842.\nAnswer: -0.00531368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.94 + 2.14. Let t = -3 + -2. Suppose 2*j + 4*z + 8 + 6 = 0, -z + 1 = 2*j. Which is the third biggest value? (a) j (b) m (c) t (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -20 - 32. Let b be 1\/(-2)*(-32)\/(-2). Let k = y + b. Solve 3*i = 2*i + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*3\/(-42))\/(25\/(-35))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66498\/29215 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 5*g**2 - 6*g - 9. Is 58 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*z + 180, -z - 3*p + 55 = 7. Let n = 90 + z. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 11, -1 in decreasing order.\nAnswer: 11, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, -10, -5 in ascending order.\nAnswer: -10, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*i**3 - 3*i**2*n - 483*i - 37*n - 202 wrt i.\nAnswer: -126*i**2 - 6*i*n - 483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s, 2*s + 1 = -4*i + 3. Suppose 40 = i*m - 0*j - 2*j, -m + 20 = 4*j. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3809 times -1.6?\nAnswer: 0.60944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 - 2. Let g(a) = 3*a**3 - 5*a**2 + 5. Let j = 4 - 9. Suppose 3*t + 0 = -6. Let m(d) = j*h(d) + t*g(d). Suppose m(s) = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k. Let d(q) = -q**2 - 6*q - 6. Let r be d(-4). Let f(c) = -3*c + r*c - 2*c**2 + c. Give f(z(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6656260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:45 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1999.645 - 33333.857.\nAnswer: -35333.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -2803.\nAnswer: -11212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(sqrt(275) + 2).\nAnswer: 24 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n. Suppose n = 2*o - 94 - 38. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2178 divided by -9\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2323317675*i**2 + 2323317676*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((77\/(-27))\/(-11)*60\/70). What is the fourth smallest value in 0.04, 2, 1.8, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183808.6 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 989, 1985, 2983, 3983?\n\"Answer: f**2 + 993*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 1035584*h\/7 + 1035582\/7.\nAnswer: 2*(h + 1)*(h + 517791)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.696 rounded to two decimal places?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -120403737, -481614959, -1083633663, -1926459849, -3010093517, -4334534667, -5899783299?\n\"Answer: -120403741*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -2*k**4\/3 - 5*k**3\/6 + 3*k**2. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u - 115. Let d be r(15). Suppose -114*j + d*j = -2912. List the prime factors of j.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + (4 - 110\/25). Suppose -l + 4*l = 15. Solve o = 4*j - 13 + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 0.06. Let q = f - 0.45. What is the nearest to 0.1 in 0.1, 0.5, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585427109.\nAnswer: 149, 1471, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 1.9. Which is smaller: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2073267 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-3 + 5 + (sqrt(567) - (sqrt(567)*1)**2*4))*-2.\nAnswer: 36*sqrt(7) + 4526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let x = -168 - -165. What is the fourth biggest value in 4, 2\/3, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.888 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*v + 32378*v**2 - 33494*v**2 - 370 - 2*v**4 - 376*v**3 - 1018*v.\nAnswer: -2*(v + 1)**3*(v + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 10936 = 2*o + 2*g, 4*o - 4*g - 10932 = 0. Factor -o*u - 1010*u + 2916 + 1080*u**2 - 112*u**3 - 888*u + 745*u + 4*u**4.\nAnswer: 4*(u - 9)**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c3d8 + -7?\nAnswer: -c401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 3, -6503144?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2*32\/60. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/8 + 8*i**2 - 34. Let c(a) = 16*a - 1. What is 2*c(t) - 11*g(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5820 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 356782 divided by 458\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f. Let w(x) = x**2 + 10*x + 9. Let r be w(-9). Solve 3*k = r, d = 2*k + 2 - f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2, 0*r + 76 = 4*s + 2*r. Let m = s + 3. Suppose 0 = y - 24 - m. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 1023.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 118 - 217. Suppose 7*d - 2 = w. Sort -34, 1, d in ascending order.\nAnswer: -34, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -6 - -5 - (3 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6)*12\/(-9). Let m = 6 - 6. Which is the third smallest value? (a) 2 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.016 or -6\/2971?\nAnswer: -6\/2971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 92.19499402.\nAnswer: 92.29499402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-493)\/765 + -3*(-2)\/30.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - sqrt(720)*-3)*4)\/(-1*sqrt(100) - sqrt(64)\/sqrt(4)))**2.\nAnswer: 46080\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*j + 114, -909*d = -912*d + 8*j - 158 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 23 = -32. Let p be (-5)\/10 - (-1)\/((-2)\/7). Let k = p - s. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 8*p + 5. Let q(l) = l - 3. Let b(z) = -2*q(z) + v(z). What is b(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5259?\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010453 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-3 + 1 + sqrt(175) - sqrt(175))*3 + -5)*2)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -682231, -2728891, -6139997, -10915555, -17055571?\n\"Answer: -a**3 - 682217*a**2 - 2*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/20*12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2 + sqrt(80))*3)**2*-1 - (-5*(sqrt(320) + sqrt(320) + 2)*1)**2) + -1)*-5.\nAnswer: 8720*sqrt(5) + 164285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28 and (-2 - -13)\/(31812\/(-264)).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5658\/8856 + 16\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -352 - -716. Suppose -14*v + j = -7*v. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 232421242?\nAnswer: -232421241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 37*h + 0*h**5 + 0*h**2 + 0 - 9\/28*h**8 + 17\/6*h**4 + 0*h**3 + 0*h**7 + 0*h**6. What is the third derivative of f(s) wrt s?\nAnswer: -2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 250000*g**2 - 1. Let d(w) = -w + 4. Let z be d(3). Let h be u(z). What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 9, 2*b + 51 = -3*b - 2*p. Let s(t) = -22*t + 13. Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -143*g + 11195. Give o(78).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (2 + 0 + 0)*(0 - 1 + 2) - 2 - 2 + 2 + 2 - 2 - 1)*(-3*i + 0*i + 2*i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e (base 15) in base 16?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*o**3 - i*o**2 + 11*i + 4011*o**3 - 23*o**2 wrt o?\nAnswer: 6*i + 24066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/3 + 5*s**2\/2 - 5*s + 5. Let r be x(3). Solve 4*t - 3 = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/1)\/(-18*6*7\/(-252))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1506, 1489, 1468, 1449, 1438, 1441?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 + 1*2. Let f(n) = -41*n**3 - n**2 + n. Let d be f(1). Let i = 61 + d. Solve h = -t*h - i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139732839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/19 + -28\/57. Let k be ((-36)\/8 - -3)\/(-1*6). What is the closest to k in x, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let q = 167\/3 + -55. What is the closest to 1\/4 in 0.1, q, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*572.24.\nAnswer: 2861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 54. Let q = 35 - o. Suppose q = 3*l - 0*l. Solve l = x - 5*a - 17, -5*x = 4*a - 1 + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - 15*a**2 - 899*a**2 to v*a**2 + i*a + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1584))*3 - ((4 + sqrt(1584))*-3 - sqrt(1584))**2.\nAnswer: -25497 - 1116*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -984151\/194 + 5073. Find the common denominator of 13\/90 and d.\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/50 and -61\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9198107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-21)\/12) - -7*77\/133.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236*g**2*r**2 - 4*g**2*r*x - 2*g*r**2*x + g*r*x + 228*r**2*x - 2*r*x - 52018*r wrt r?\nAnswer: 472*g**2 - 4*g*x + 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from kkykkykkkkkkkkkkkkyk.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173 + 45 + (-1 - -51).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/80194 and -143\/1443492.\nAnswer: 1443492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/8 + 13*x**3\/8 + 479*x**2\/8 - 2613*x\/8 - 1539\/4 = 0?\nAnswer: -19, -1, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36 (b) -3 (c) 5 (d) -0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 - 28 - 9*k - 27 - 6*k**2 - 103 - 70 wrt k.\nAnswer: -12*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 20267.\nAnswer: 190\/20267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -10. Let a = q + -9. Which is smaller: a or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 7}. What is prob of sequence nn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453 - 451. Suppose 6*o = j + o - 69, -292 = -3*j - f*o. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-27) - (-2 + -5*(-24)\/15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, j: 4, v: 4}. What is prob of sequence ll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -82*u**2 + 4*u + 2. Let j(o) = 246*o**2 - 14*o - 7. Give -7*b(n) - 2*j(n).\nAnswer: 82*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -n. Let i(w) = 370001*w**3 - 1. Let j be i(n). Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 + -528. Let g = s + 502. Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.7 (c) -11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01638757 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(136\/24 + -1). Which is the biggest value? (a) -4\/7 (b) i (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7978*x + 1265. Does 11 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12295, -10668, -7961, -4174, 693, 6640?\nAnswer: 13667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 2, f: 2, x: 1, o: 8, d: 1}. What is prob of sequence oox?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -60 - -56 - (1 + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 36. What is the tens digit of 1*(y - -7) + 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.002\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (887 - 1406 - 579)*(4 - 4 + l)*(-2 - 2*l**3 + 2).\nAnswer: 2196*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 18 + 18. Let c(r) = r**2 + 4*r**2 - 4*r**2. What is c(m(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3\/3 - 97. Let q(r) = r + 1. Determine h(q(u)).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1\/105*g**6 - 2\/49*g**7 - 2 + 1\/14*g**5 + 0*g**3 + 1\/21*g**4 + 0*g**2 - 17*g. Determine o so that t(o) = 0.\nAnswer: -2\/3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305\/917 + -2\/2751. Suppose -2*s + 158 = 4*o - 8*o, 2*s = -2*o - 70. Is z at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1946 and 5560?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -20, -1, 50, 145, 296, 515?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*v = -38, -4*v = 2*f - 177 + 149 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 10*a - 16. What is the hundreds digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 16*r**2 - 34*r - 33. Let b be j(18). Suppose 4*z - 3*s - b = -4*s, -5*z = -4*s - 9. Solve 4*g - z = 5*c, 2*c + 3*g = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.33 + 2.03. Let f = h - -9.300078. Round f to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*s + 18, -3*k = s - 0*s - 2. Let c = 50 + -48. Let f(v) = 3 - 17*v + 20*v - 4*v**c + k + 3*v**2. Calculate f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 2788636253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 566?\nAnswer: 5\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*((sqrt(104)\/((4*sqrt(22))\/sqrt(11)))\/(((sqrt(968) - 5*sqrt(968)) + sqrt(8))\/sqrt(2)))**2.\nAnswer: 39\/14792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 201. Let z = g - 52. What is the first derivative of 7*f**2 - 7*f**2 + z*f**2 + 12*f**2 + 16 wrt f?\nAnswer: 52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 = i, 4*i + 2 = -x + 20. Let l be (-24)\/(-64) + 2\/22 + (-1215)\/(-792). Solve v = 5*a - 12, -2*v + x = -l*a + 2*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984831988 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -343*t + 191 wrt t?\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*2 + -2. Let v = 188 + -209. Let c = -11 - v. What is the nearest to c in -0.2, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/14 - -13\/70. Let v be 3*3\/((-189)\/(-14)). Which is the third biggest value? (a) -0.3 (b) u (c) v (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*k + 2, -3*w - 6 = -8*k + 6*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by (16\/32)\/((-1)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 + 11*c = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470045966?\nAnswer: 2, 13, 47, 211, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 2499654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 8*c - 9*c - 13*c - 2.\nAnswer: -23*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 102. Solve 0 = -k + 2*m + 9, 2*m - 4*m - r = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 5:32 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 12. Let a be q(-17). Suppose 0 = 3*o - 12, -12 = 5*r - o - 3. Let c(t) = -16*t. Let b be c(r). Solve -b = -l + 4*s, a*l + 40 = 3*s - 7*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 34*n + 2*p = -36*n, 3*n + 17*p = 2*p + 90 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**3 + 11*l**2 + 4*l - 1. Let v(o) = o**3 + o**2 - 1. Let a(s) = -n(s) + 6*v(s). Give a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.5686646 - -3.9.\nAnswer: 23.4686646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:01 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - i + 7*i + 3*i)*(-2*i - 10*i + 5*i).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*m + 48*m - 25. Let v = 4.86 + -5. Let c = v + 0.24. What is the smallest value in -4\/3, 2\/3, c, m?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m + 66. Let r(l) = 15*l + 99. Determine -5*r(q) + 8*z(q).\nAnswer: 5*q + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 17 - 5*n - n**3 - 16 + 18*n**2 + 10. Let i be b(18). Let f = i - -93. Calculate the remainder when 207 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54, -67, -70, -57, -22, 41, 138?\n\"Answer: q**3 - q**2 - 17*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x + 177 = 2*x. Suppose 4*o - 6*m + m - 45 = 0, 0 = -2*o - 2*m. Suppose 0*k = -x*k + 5*p + 206, -o*k = -4*p - 365. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178705? (a) 2\/205 (b) 2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let x(f) be the third derivative of -f**5\/60 + 4*f**2. What is g(x(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 416\/65 - 2\/5. Let i(u) = u. Let w be i(k). Let x(z) = -2*z + 10. Determine x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 30\/79 (c) -2 (d) -1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 48, 85, 148, 243, 376, 553, 780?\n\"Answer: t**3 + 4*t**2 - 2*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x = -2*c + 74*x - 6, -2*c - 2*x + 4 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94170632*r**2 + r - 6367425 wrt r.\nAnswer: -188341264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333 + -174. Suppose 4*w - h = 25. Let b = w - -3. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(208) + -1 + sqrt(208)) + (sqrt(26) - sqrt(78)\/sqrt(27))\/sqrt(2).\nAnswer: -2 + 50*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 81. Let u be (0\/1)\/(2\/2). Which is the closest to 1\/4? (a) u (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 60. Suppose 0 = -0*b + 3*b - t. What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 2\/51, -4, 1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {n: 1, a: 5, x: 2, y: 2, t: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -43. Suppose d*t + 23 = 5*q, -t - 16 = -5*t. Suppose 175 = 12*x - q*x. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/44280 and 121\/13120.\nAnswer: 354240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 6 = 8. Suppose 0*y - 92 = 3*o - h*y, -y - 52 = 2*o. What is the units digit of ((-227)\/7 - 1)\/(6\/o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1280) - sqrt(1280))\/((2*sqrt(1000) - sqrt(1000)) + sqrt(1000) + sqrt(10)).\nAnswer: 8*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3138 * 1.26\nAnswer: -3953.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-1 - -3))\/(-1). Put g, 3, -5 in ascending order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - -22. Let z be 6\/(-8) + 39\/u. Let h be -1 + 12*(1 + z). Solve -5*j - 9 = h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Let i(t) = 2*t + h - 3*t - 2. What are the prime factors of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6069 and 10617.\nAnswer: 21478191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 192, -5, -4 in increasing order.\nAnswer: -161, -5, -4, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -4. Is 11 a factor of (-203)\/(-5) + 6\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (3 + -4 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*h + 15, -4*y = -h + 4*h + 8. Let x(a) = -h + a + 6 + 3 + 4. Let j(g) = g. Let o be j(-5). Give x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 659\/88 (b) 0.4 (c) -1\/3 (d) -0.1 (e) 4\/3 (f) 3\/5 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 - 78*n**3 + 634*n**2 + 2478*n + 1764 = 0.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 0. What is the tens digit of (126\/g)\/((-48)\/64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34005.57s in nanoseconds?\nAnswer: 34005570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 80. Let q be v(-18). Does 3 divide (2\/(-8) - (-6)\/q)*-134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6669 and -97\/72.\nAnswer: 53352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 16*c - 18*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 + 1*-5. Let k(m) = 2*m - 8. Let u(j) = j - 3. Let f = 389 + -381. Calculate f*u(s) + z*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5*r - 8. Let m(n) = n + 7. Let v be m(-7). Let w = v + 7. Does 14 divide g(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 926084, 1852280, 2778476, 3704672, 4630868, 5557064?\nAnswer: 6483260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:03 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzaiykyzzyvzzyiy. What is prob of sequence iz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((6 - (-2 + 4)) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 5*h = -20, 3*h - 15 = 0. Suppose c*x - n = 100, 0 = -x + 3*x + 2*n - 52. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 28540*q**2 + 203518692*q + 1629976608.\nAnswer: (q - 14274)**2*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 208.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 20, 4, -30, -88, -176, -300?\n\"Answer: -x**3 + 3*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 3*z - 21 + 26. Calculate x(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085467, -2085461, -2085455, -2085449?\nAnswer: -2085443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 206777034 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4*2\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1519134*j. Let t(q) = -2*q. Calculate t(p(m)).\nAnswer: 3038268*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*q**2 - 453*q**2 + 230*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9308 = -4*u + 10688. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 - 29*v**3\/3 + 16*v - 81. Let z be k(29). Solve p = -4, 3*q - 5*p - 1 = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -32621.\nAnswer: -3262.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*d + 24 - 27, d = -2*o + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807035?\nAnswer: 5, 161407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 323184?\nAnswer: 323184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12204013 - -12?\nAnswer: -12204001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 59*o**2. Suppose 7*g + 10134 = 10*g + 5*n, 5*g = 2*n + 16890. Let j(u) = 3378 + u**2 - g. Give j(z(w)).\nAnswer: 3481*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1080 (base 10) to base 3\nAnswer: -1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 20. Which is the second biggest value? (a) 0.1 (b) -1 (c) 1\/2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3515612 - -15?\nAnswer: 3515630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2601\/2 + -3952\/3. Find the common denominator of u and 61\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -129. Let o = 499.1 - 499. Which is the closest to g? (a) 17 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12533242 is divided by 72?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -2926\nAnswer: -1170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 14. Suppose -3*r - o = -83. What is the highest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -46. Suppose 10 = 2*s - o. Suppose -4*u + 33 - s = 0. Solve -x - 3 = -u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252416 * 0.27\nAnswer: 68152.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 8331*g**4\/4 - 231*g**2\/2 + 16*g + 13589. What is the second derivative of b(v) wrt v?\nAnswer: 49986*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6. Let w(t) = 2*t + 1. Let x be w(d). Solve x*o - 3*f = -9, 0*o + 2*f = -2*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k - 3*n, 3*k + 4 = -n + 10. Solve -k*c = -13 + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -221. Calculate the common denominator of -9\/80 and (-7)\/3 - -2 - (-38)\/n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1218 and 12334889.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398416 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 118708*p + 4 - 1 - 118706*p. Suppose -3*g + 2*j + 3 = 0, -2*g - g = 3*j - 3. Give b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -1654.2?\nAnswer: 1649.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 1\/4, -1, -4\/1529, -3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 62 = -17*j. Suppose -n = -j*i - 1192, n - 3592 = -2*n - 2*i. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s - 10. Let c be l(-6). Let j = -41 + c. Suppose -j*i - i + 4*g - 10412 = 0, -i - 2609 = -3*g. Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8*r = 0. Let n = 11 - 11. Let b = r + n. Solve b*x - 5*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2. Let m be 5\/((2*-1)\/(-2)). Suppose m*n + 0*z - 51 = 3*z, 4 = -2*z. Let q(f) = n*f - 9*f + 2*f**2. What is i(q(h))?\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (2 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 2*s - 2. What is d(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19684729 is divided by 762?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2962*w**2 - 47*w - 47. What is the thousands digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 31. Suppose -v*k + 48 = -3*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 18*q - 216 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - 2*g**2 - 2*g - 1. Let n be i(-1). Let b(m) = -m - 2. Let r be b(n). Suppose 0*c + 204 = r*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - s**2)*(2 + 0 - 4)*(9*s - 7*s - 4*s) to the form o*s**2 + q*s**3 + z + f*s and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - 61*f - 2. Let w be i(-10). Let a be 2742\/78 + w\/(-52) + -4. Solve 0 = 10*o + a - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = -5*u. Suppose -c - 2*x - 1 = 11, 0 = -u*x. Let p be (4\/c)\/((-2)\/24). What is the nearest to -2\/7 in 3, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:00 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*m + 4*m + 2, -5*m - 5*a + 20 = 0. Let x(f) be the third derivative of 1\/12*f**4 + 0 - 7*f**2 + 0*f + 0*f**3 - 1\/60*f**5. What is x(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((141\/(-658))\/(6\/14))\/(13\/(-6))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 4*d + 3. Let o be s(-4). What is the third derivative of 0*j**o - 2*j**3 + 2*j**3 + 2*j**4 - 3*j**2 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 - (11 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 49*f - 105. Let u be w(-22). Solve 7*c - 9*c = x - u, -c = -5*x + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x - 12. Let u(p) = -7*p - 13. Determine -4*g(k) + 5*u(k).\nAnswer: -3*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 301140, 1204546, 2710222, 4818168?\n\"Answer: 301135*j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -1139, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.082 - 22771.\nAnswer: -22771.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*l - 4*u - 70, -38*l = -41*l + 3*u + 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p**2 - p)*(-11*p - 11535*p**2 + 23190*p**2 - 11520*p**2).\nAnswer: -270*p**4 + 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-1)\/(2\/(-2)). Suppose -3*z - 36 = -4*n, 4*z - a*z = n - 9. Let j = 36 + n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/3, -5, 0, 5, -2\/11, 4571.4, -1?\nAnswer: 4571.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2796 and -83\/6990?\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -0*j + 4*j. Suppose -3*i = 3*r - 6*r - 9, 3*r + i = j. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, a: 1, p: 1, t: 1, b: 3, c: 3}. Give prob of sequence bc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*12\/144*(-66)\/55?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 77 - 168 = 0. Suppose -9*j + 4*j = -2*q - z, -4*j = -12. Let u = 19 + q. Solve -2*d = 2*d + p - 6, u*d + 2 = 2*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 200*m**3 + 4*m**2 - 28*m + 121. What is the units digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.431371 and -0.148.\nAnswer: -10.579371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507211 is divided by 21429?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:25 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/887 (b) -1\/5 (c) 1\/3 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 n when four letters picked without replacement from {c: 2, n: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*k = 4. Let p be k\/14*(-8 - 6). What is the first derivative of 4 - p*h**4 + 0 + 3*h**4 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1893, -1891, -1889?\nAnswer: -1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 92*s + 506. Give y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -271 - -273. Differentiate -101 - k**a + 456*k**3 + 470*k**3 - 970*k**3 wrt k.\nAnswer: -132*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 427561 + 31639 = 0. What is s rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 2. Let y(f) = 13*f + 10. Let b(s) = 9*s + 7. Let h(t) = -7*b(t) + 5*y(t). Let k = -87 - -76. Let m = -2 - k. Determine m*h(p) + 4*o(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9712 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 28, 3 in decreasing order.\nAnswer: 28, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19606412211 - 1.\nAnswer: -19606412212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18790644 is divided by 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z + 1298*z**2 - 645*z**2 - 645*z**2)*(-3 + 1 + 4).\nAnswer: 16*z**2 + 58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjjssssssssssssssss. What is prob of picking 4 s?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 9. Let t(i) = -i**2 - 35*i - 27. Let d(q) = 6*k(q) + 2*t(q). Suppose d(p) = 0. What is p?\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 5*l**2 + 3*l - 10. Does 18 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 1:01 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 971?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*m = 118*m + 5, -h + 4*m = -122. What is the lowest common multiple of h and 16?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14080*n - 18946 = 16473*n + 26521 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4)\/(f*(f**4*f)\/f))\/((f*f*f**2*f)\/f*f)**(-1\/21) assuming f is positive.\nAnswer: f**(-463\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1773*o**5 + 2*o**3 + 148*o - 3?\nAnswer: 35460*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -1\/10*c**5 + 0*c**3 + 0 - 1\/120*c**6 + 0*c + c**2 + 0*c**4. Find the third derivative of z(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z - 68 - z - 11*z to the form u*z + s and give s.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 38150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-35) - (-3132)\/126. Solve 6*i + 13 = l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-4*sqrt(224))\/(1*sqrt(968) + (sqrt(8) - sqrt(24)\/sqrt(3)*6)))**2*4 + 5.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/20 + (-106)\/(-10). What is the highest common factor of t and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -6) + -4 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6022 - -9317. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392580 and 68600?\nAnswer: 13925800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 224 = 4*c, -4*c + 6*l + 188 = l. Calculate the remainder when c is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123158 to 5 decimal places.\nAnswer: 0.01232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.3 (c) -0.5 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-106)\/(-18) + (-12 - 763\/(-63)). Suppose m + 0*k - 3*k - 15 = 0, -10 = -2*m + k. Sort m, 4, -8, a in increasing order.\nAnswer: -8, a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 31*b + 72. Determine f(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -11. Let h = u - -142. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4\/12 + z**3 - 2*z**2 + 3*z. Let r be d(4). Solve 4*x + 16 = -r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006624955 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 23*i - 100 = 0, 2*f + 30*i - 25*i = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -521263249501?\nAnswer: 521263249500.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 792.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 + 4*s - 3 - 4*s**3 + 12*s**3 - 6*s**3 to j + b*s**3 + m*s + c*s**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196949 is divided by 706?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*d + 38225, 55*d + 76480 = 2*o + 54*d. List the prime factors of o.\nAnswer: 167, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(304) + 1 - (4*(2*sqrt(304) + sqrt(304)) + sqrt(304) + sqrt(304))*-2)**2.\nAnswer: -1160*sqrt(19) + 255689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17007 (base 9) to base 6.\nAnswer: 130011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/10)*s**13 assuming s is positive.\nAnswer: s**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 2772*a + 791051. Determine i(-402).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f + 4*f + 3*f)*(-23 - 18 + 8) + 4*f - 3*f - 2*f + (-7 + 2 + 3)*(-3*f + 0*f + 2*f) to the form k + y*f and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -0.4, 4, -1.6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 49*i = -51*i + 86, -4*a = -i - 177. Solve 23*w + 21*w = -a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 8*k + 5*k - 71126, 0 = -5*p - 5*k + 71150. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55553.75 centimeters to millimeters.\nAnswer: 555537.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*g + 726, -2*g - 3 = -9. Suppose -q = -6*u + 3*u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 + 2. Let t = -1.6 + -121.4. Let l = t - -123. Put l, -2\/11, b in descending order.\nAnswer: b, l, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 3. Let j(b) = -81*b**2 + 14674*b + 272*b**2 - 14674*b. Give o(j(h)).\nAnswer: -955*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 234194157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + 6 + 1 + 5 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18204 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - ((-6)\/(-8))\/(4\/16). Suppose -w*q - 5*s = -29, 3*q + 16 = 4*s - 1. Sort 0, q, -3, -1.\nAnswer: -3, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108984 and 4332.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2864*t + 207*t - 76075 - 63605 = 253*t for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 943535701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10636*u**2 + 10674*u + 29. Determine v(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 22. What is the first derivative of -r*f**2 - 12 + 0*f**2 + 0*f**2 wrt f?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d**2. Suppose 10*a - 15*a + 870 = 0. Let v(m) = -m + m + 175*m**2 - a*m**2. Calculate v(k(y)).\nAnswer: 121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(605))**2 + -1 + 5 + (-2*sqrt(605))**2 + sqrt(605) + sqrt(605) + sqrt(605))*1*3.\nAnswer: 495*sqrt(5) + 72660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128, -262, -410, -578, -772?\n\"Answer: -h**3 - h**2 - 124*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*(-29498)\/(-1204)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 357594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15\/92 + 2\/23. Let c = v - 3\/4. Sort c, 1\/7, 7 in increasing order.\nAnswer: c, 1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*i**2\/10 - 353*i\/10 - 42\/5.\nAnswer: (i - 21)*(17*i + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263 - 342?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -69. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 79616. Let d = h - 6568229\/165. Let n = -11\/15 + d. What is the nearest to -0.1 in n, -5, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2448, 2446, 2444, 2442, 2440, 2438?\n\"Answer: -2*f + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s. Let h(d) = 2*d + d - d - 3*d. Let q(g) = 9*h(g) - z(g). Let j(f) = -3*f. Give 3*j(x) + 2*q(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + (1 - -1 - 4). Suppose -5*r + b = -56. Let w = -36 + 127. What is the highest common factor of w and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 16*v = -0*v - 190400. Calculate the lowest common multiple of 8 and v.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 112*v**3 - 22*v**3 - 34*v**3 - 42*v**3.\nAnswer: 14*v**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b**2 + 0)*(0*b**3 + 2*b**3 - 4*b**3) + 12 - 2 - 158*b**5 - b**4 - 7.\nAnswer: -156*b**5 - b**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8080.038 nanograms?\nAnswer: 0.008080038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 33*g**2 + 9*g**2 + 17*g**2.\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130530.09 minutes in hours?\nAnswer: 2175.5015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443228265 a multiple of 4166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p + 2*p + (5 - 2 - 2)*(5*p + p - 3*p))*(-3*p - 3*p + 2*p)*(-8 - 21 - 3) + 1 - 2*p**2 - p**2 + 0*p**2.\nAnswer: 637*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1519198\/117 - -12985. Calculate the common denominator of 22\/9 and g.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224 + 223.887. Round k to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 3:36 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 2, m: 3, d: 7}. What is prob of sequence md?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/((f*f**2*f*f)\/f)*(f*f**4*f)\/(f**(4\/9)\/f))**(-2\/119) assuming f is positive.\nAnswer: f**(-2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1722063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i - 150. Let y(f) = 2*f**2 + 5*f - 152. Give -3*r(m) + 2*y(m).\nAnswer: m**2 - 2*m + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13317?\nAnswer: 3, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + 2*d**2)*(-10 + 0*d - 3*d + 4).\nAnswer: -6*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 28449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(255)\/sqrt(5)*-5)\/(-2*sqrt(27)) + 4 + sqrt(68) + 1 + 0)**2.\nAnswer: 80*sqrt(17)\/3 + 1313\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 101018.\nAnswer: 1\/101018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 6:14 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200243342220 - 4?\nAnswer: -200243342224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/((-6)\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 6:21 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) + 291\/(-15). Let u = 9 + x. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320110 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68608 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**2 - 2*t + 2. Let w be g(2). Solve -4*i = -w*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 0 + (-7 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 3\/4, 0.4, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -40, 556, -3.\nAnswer: -40, -3, 18, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -6. Let f(w) = w**3 - 7*w**2 + 7*w + 2. Let o be f(p). Is (o + -7)\/(1\/3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from bggbbfbbnbgffo?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -40805 + 40805 + 1106*s as i*s + q and give i.\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9237323?\nAnswer: 307, 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 4*d + 20*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*f + f - 535 = 0, -1545 = -3*n - 3*f. Let v = -499 + n. Calculate the least common multiple of v and 186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 - 14 = 0. Suppose -1254*p + 1214*p = -2006 - 634. What is the least common multiple of p and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 69. What is the closest to a in -4, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123169*-255\nAnswer: -31408095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 - 5*g**2 - 2. Let w be (4 - 1)*(-8)\/(-12). Let m(a) = 9*a**3 - 3*a**3 + 2 + 6*a**w + 1. Let x be 2 + -7 + (2 - 1). Give x*m(u) - 5*v(u).\nAnswer: u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 344. Let m(y) = -4*y + 342. Calculate -3*m(l) - 2*n(l).\nAnswer: 4*l - 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/6)\/12)\/(30\/9).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -44.0000008. Round q to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 603382.1 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -6 - (-8 + 14 - 13)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 - 6*l - 3. Let f(g) = -g**3 - 5*g**2 - 7*g - 3. Let a(u) = 3*f(u) - 4*x(u). Let n be (-6)\/21 - 26\/7. What is a(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/8*2*1. Let v(o) = 14*o**2 - 14*o + 8. Let c(g) = -15 + 18 + 1983*g**2 - 986*g**2 - 5*g - 992*g**2. Give m*v(l) + 8*c(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -42. Let p be (-452)\/10 - 8\/w. Let c = -32 - p. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 182?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + 2)*(46 + -45). Suppose -5*t = -15, 0 = -5*p - m*t + 14*t + 586. What is the smallest common multiple of p and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, 2863235 in descending order.\nAnswer: 2863235, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:22 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262*f**5 + 2*f**4 + 27*f**3*z**2 - 14500370*f**2 - 4*z**2 wrt f.\nAnswer: -15720*f**2 + 48*f + 162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1 + h - 3*h + 3. Let w(o) = -4*o - 8. Let z be w(-3). What is a(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1233*b**3 - 2*b**2 + b**4 - 1242*b**3 + 2474*b**3 + 2*b + 3 - 2*b**4 to the form i + s*b**3 + z*b + g*b**4 + a*b**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.9. Let z = -0.32 + 0.02. Let o = -2 + -3. What is the closest to n in o, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + k + 0*k)*(-4 - 11 + 10)*(-4 - 5 - 2) + 2*k - 5*k + 2*k)*(-9*k - 2*k + 0*k).\nAnswer: 1826*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 25, 4*c + 3*v + 26 = -19. Let t be (72\/c + 5)*5. Let d(s) = 294*s**2 + 4*s - 4. What are the prime factors of d(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1786876136 and 1786876136 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -16 in ascending order.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d + 3. Let w(u) = 8*u - 8. Let o(l) = -2*w(l) - z(l). What is o(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let a(q) = -3*q + 4. Determine -5*a(k) - 20*j(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 + -2.1. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2912 - -2933. Solve 4*p = -3*x - l, -2*x - 26 = 4*p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417504?\nAnswer: 2, 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4521*j**5 + 12*j**3 + 4077438*j**2 + 5 wrt j.\nAnswer: -271260*j**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(3\/(-26)). Suppose f = 3*t + u, -2*t - 5 = -t - 2*u. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 171 + 45. Calculate the smallest common multiple of t and 28.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9587\/43 - 223. What is the biggest value in 4, p, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -5*i - 59, 3*r + 3*i = -2*i - 39 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose h = 5*c - 2*j - 4, -2 = 5*c - 5*j + 3. What is the first derivative of 1 - 2 + 0 + 3*g**c - 6*g**2 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - g = -19, 0 = -3*o - 2*o + 2*g + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.700176 - -1.7. What is y rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -167*g**2 + 264. Let w(x) = -x. Calculate u(w(q)).\nAnswer: 334*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*h = 27, -32 = -5*r - 2*h - 115. Let k be (-3 - -3)*5\/r. Let n = -13 - -8. Which is the second biggest value? (a) k (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -724, -1034, -916, -370, 604?\n\"Answer: 214*u**2 - 952*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d + 6. Let o be b(7). Suppose 2*w + 2*z = -4 + 6, 2*z = -2. Put w, o, -5, -4 in descending order.\nAnswer: w, -4, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*v**3 - 3*a**2*v + 470*a**2 - 79*a*v**3 + 103*v wrt a.\nAnswer: -6*v**3 - 6*v + 940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29 - (12\/3 + -4). What is the second derivative of 4*t - h*t + 17*t**4 + 6*t**4 wrt t?\nAnswer: 276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*t = -826*t - 4647 + 15627 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) - (0 + sqrt(19) + -3)) - (-4 + (sqrt(475) - -1*sqrt(475)))**2) + 2.\nAnswer: -1929 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -13, 0 = u + 3*m + 13. Suppose 3 - 11 = -u*t. Factor -2\/9 - 4\/9*p**3 + 2\/9*p + 2\/9*p**5 - 2\/9*p**t + 4\/9*p**2.\nAnswer: 2*(p - 1)**3*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1386526l to millilitres.\nAnswer: 138.6526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1126 - -7572. Let v = -8698.00006163 + j. Round v to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 668*y**2 + 4947*y + 127. Determine j(-215).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -2, 1, 4 in decreasing order.\nAnswer: 4, 2, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*1125\/(-175) + -11.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3160708 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32867500 by -5.\nAnswer: -6573500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, 2 in increasing order.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11724 + -11723.999971263. Round n to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkkavkkaaz. Give prob of picking 1 z and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/5))**(4\/5)\/((w*w**(-2\/45))\/(w*w*w\/w**(-17\/3)*w*w)))**(-2\/9) assuming w is positive.\nAnswer: w**(-3938\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697384274?\nAnswer: 2, 13, 103745549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**26\/(z**4\/(z\/(z**5*z))) assuming z is positive.\nAnswer: z**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 1080*i**3 - 12292*i**2 - 20232*i.\nAnswer: 4*i*(i - 281)*(i + 2)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 599*c**3*r**3 - 4*c**3*r**2 + 4*c**2*r**2 + 2*c**2*r + 35*r**3 wrt c?\nAnswer: 3594*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6) + 5 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 - 4*n**5 + 4*n**5 + 20*n - 20*n - 6*n**5 + (-n**2 + 0*n**2 + 0*n**2)*(-2*n**3 - n**3 + n**3) + 2*n**5 + 2*n**3 - 2*n**3.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-213)\/(5208\/(-248)*(-1)\/14*2))\/1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 4*w**2 - 9*w + 2. Let l(j) = 3*j**3 + 13*j**2 - 26*j + 5. Let i(a) = 8*h(a) - 3*l(a). Let t be ((-24)\/(-15))\/(4\/(-20)). Does 12 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:30 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6433 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0569 * -48.55\nAnswer: -2.762495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -104. What is the third derivative of 2*n**2 - 4*n**2 - 7*n**2 - s*n**3 wrt n?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 16*v**2 - 30*v - 2. Let h be b(-14). Suppose 205 = -h*t + 31*t. Calculate the greatest common factor of t and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 o, and 1 s when four letters picked without replacement from {b: 3, s: 1, o: 1, a: 8, n: 6}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.86 - 0.14. Let g = 1573123918.00000113 - 1573123902. Let f = g + n. What is f rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0. Suppose -4*i + 2*q = -4 + 6, 0 = -i - 4*q + 13. Which is the nearest to 1? (a) 0.5 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302757945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (76 + (-22 - 12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1135428347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 6*w**3 - 4*w**3 + (1 - 1 + 2*w**2)*(-w + 2*w + w) + w**3 - 2*w**3 + 3*w**3 - 4*w**3 + 0*w**3 + 2*w**3 - 279*w**3 - 1466*w**2 + 1466*w**2.\nAnswer: -274*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:58 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2 - (sqrt(539) + 1*sqrt(539) + sqrt(11))) + -2.\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233232047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9 and -47\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*-1 - sqrt(2268))\/(sqrt(44)\/(sqrt(99)\/sqrt(9))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*z, 3*d + 10 = -z - z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/12*(-18)\/(-42). Let u(c) be the first derivative of c**4 + 0*c - g*c**2 + 0*c**3 - 2. What is the second derivative of u(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -50\/87, -2 in descending order.\nAnswer: 3, 2, -50\/87, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, z: 4}. Give prob of picking 1 z and 1 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/6649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - c - 9392 = 0, -2*d + 3*c + 4706 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*x - 842*x - 94 = -8*b, -5*b + 2*x - 20 = 3*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -10 - 2, 3*i + 98 = 5*q. Suppose -3*w + 114 = -4*p, 2*p + 72 = 5*w + q. Is (p\/12)\/((2\/(-12))\/1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 10. Let d = r - -7. Solve 5*j + d*m = 0, 0 = -2*j + 3*j + 5*m - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*f**2 + 136*f - 269921 wrt f.\nAnswer: 128*f + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**2 - 156*s + 376.\nAnswer: -4*(s - 2)*(4*s + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22260 divided by -96.\nAnswer: 1855\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 96 = a. Suppose a + 14 = 4*z + 3*p, p - 34 = -4*z. Let y = 8 + 13. Calculate the remainder when y is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1 - (-352)\/(-354)). Let p = w + -118. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o + 165*o**3 + 253*o**3 - 417*o**3.\nAnswer: o**3 - 31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 182497 equal to 2737441\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + (-847)\/28)\/((-2)\/8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*h + 3529*h + 21184 - 609894 = -1828*h for h.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 - 83. Suppose -3*g + 3*v + 309 = 8*v, v - y = -g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 - -170. Which is the closest to -4? (a) 12 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**2 + 216*o + 2916 = 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 17. Let g be o(-8). Let c be 128 + -1*(-2 - 3). Suppose 0 = -c*f + 135*f. Solve f*n + g = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 5*w**3 - 2*w**3 + (0*w + 3*w - w)*(-w + w**2 + w) - 4*w**2 + 4*w**2 - 18*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.249 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o**2. Let p(v) = -20*v**2 - 14. Suppose 3*x = 5 + 1. Let m(d) = 3*d**x - 15 + 20 + 4*d**2. Let k(j) = 14*m(j) + 5*p(j). Determine k(i(g)).\nAnswer: -392*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 80577.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Let v(m) = 0*m**2 - 37*m**2 + 5*m**2 - 11*m**2. What is s(v(a))?\nAnswer: -3698*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108882143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l + 288. Let m be r(-12). Solve m*h - 1\/4*h**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(0*c + 0*c + c) + (2362 - 4723 + 2364 + 114*c)*(4 - 2*c - 4).\nAnswer: -227*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**0\/h))\/(h\/h**(1\/5)))\/(h**(-1\/4))**18 assuming h is positive.\nAnswer: h**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/6*((-1)\/((-6)\/(-7)))\/(425\/(-850))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 5*n + 3. Let m be l(5). Solve 3*o**2 - 2*o**2 - 2*o**2 + o**m = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/21 (b) -0.5 (c) 1\/4 (d) 2 (e) -1\/6 (f) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 s when three letters picked without replacement from ssgsggsssgsgs.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3857 - -8609. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 41 = 132 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 2*b + 16*b**2 + 0 + 1\/6*b**3. List the prime factors of v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*a**3*m*x**2 + 556*a**3*x**2 - 18*a**2*m*x + 435*a**2*x**2 - 2*a*x**2 wrt a?\nAnswer: -132*m*x**2 + 3336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501530.\nAnswer: 2, 5, 50153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b - 12. Let r be v(5). Let w(x) = -4*x**3 + 3*x**2 - 4*x - 5. Let g(n) = -11*n**3 + 8*n**2 - 11*n - 14. What is r*w(k) - 3*g(k)?\nAnswer: k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((2112\/(-36))\/16).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {n: 1, h: 5, p: 14}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 1 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(14\/62) - 3\/7. Suppose -5*t + g*w + 278 + 505 = 0, -2*w = t - 165. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - a**2 + 0*a**2)*(a - a + 2*a) - 4*a**3 + 0*a**3 + 3*a**3 + (-9*a - 11*a + 8*a)*(5*a**2 - 4*a**2 + a**2).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10000111111?\nAnswer: 10000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*q*r**4 + 26*q*r**2 + 2130*q*r - 7*r wrt r.\nAnswer: -1752*q*r**2 + 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from snyyysnssyssy?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 108.19*0.5942\nAnswer: 64.286498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026557 rounded to six dps?\nAnswer: -0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631a (base 12) in base 9?\nAnswer: 152554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 3. Let o be s(-4). Let m be (1 - o) + 1 + 1. Differentiate -v**4 + 2 + 0 - 2*v**m wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 65, 118, 205, 332, 505, 730, 1013?\n\"Answer: o**3 + 8*o**2 - 6*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 280, 1040, 2282, 4006, 6212?\n\"Answer: 241*b**2 + 37*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 14*w + 1. Let y be c(14). Let h be (-2 - y) + -8 + 14. Solve h*f - 4 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*m - 30, 4*w - 5*m - 40 = -13. Let c = w + -3. Solve -3*z + c = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 1 + -9 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -384704, -385095, -385486?\n\"Answer: -391*p - 384313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-4 - (-8 - -3) - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*m**2 + m - m - 138*m**2 in the form j*m + i*m**2 + s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35\/3? (a) -1\/4 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 3*w - 4. Let x(k) = -k**2 - k - 1. Let n = 4 + 2. Let g = n + -3. Let f(r) = g*x(r) - 3*y(r). Find s such that f(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*p - p**2 + 0 + 0*p**2 + 365*p - 9*p**3 + 5 as r*p**3 + a*p**2 + i*p + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43777933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1*308\/21. Let y = k - -49. Solve 4*t = 0, 5*t = -2*j + y*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.578 - 2.378. Put t, -1, -5, -12 in descending order.\nAnswer: t, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14816 + 177643\/12. Let p = -77831\/10 - -7771. Calculate the common denominator of p and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 228*u - 0*u - 95004. Solve 48*m = u - 70 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/927758 and -123\/20.\nAnswer: 9277580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 336 + 31 = 0. Suppose 2*c + 3*l + 10 - g = 0, 3*l = -5*c + 105. Let h(v) = -3*v**2 + 11*v. What is the lowest common multiple of h(3) and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 11*y**2 - 10*y - 9. Give b(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8128 and 2179828.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let l be j(-4). Let h be (-6)\/3 + 2 + l. Suppose -5*c + h = -5*p + 14, -3*c + p + 2 = 0. Solve 1 = -w + c*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 2*x**3 + 40*x**3 - 6*x**3 + 46 + 29*x**3.\nAnswer: 62*x**3 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w - 350 = 0. Calculate the remainder when ((-18)\/(-15))\/(4\/w) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-21 + 29 - ((3 - 3) + 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.114? (a) 0 (b) 0.2 (c) -1\/4 (d) 25.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -150. Let n = 8.1 - o. Let z = 82 - n. Round z to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34651020 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*(w*(w*w\/(w*w**(1\/5))*w)\/w)\/w)\/(w**(1\/5)*w\/(w\/(w*w**(1\/4)\/w))) assuming w is positive.\nAnswer: w**(101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 take away -27578342?\nAnswer: 27578316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3462633 (base 7) in base 15?\nAnswer: -890e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:39 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 1, -4, 0.9, 0.5, 2741?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.86 (b) 2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 541.2172ns?\nAnswer: 0.5412172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4 = -4*f - 20, 6*m - 6*f - 13 - 3 = 26 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 2\/((-4)\/(-16)*-2). Let o(c) = 399*c**2 + 2*c + 3. Let n be o(-2). Suppose u*m - n = 305. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*r - 39887 = 360*r - 118844 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 11 + 2*o**2 + 0 as z + k*o**2 + g*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (498\/(-108) - -6)*(-4 - -5) and 83\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y - 5*d - 58 = 0, 2*d = -4*y + 86. What are the prime factors of (-12)\/y - 1614\/(-7)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643140491 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*f**3 + 4)*(-1 + 0 + 0) + 2*f - f**3 - 2*f + (f**2 + 0*f**2 + f**2)*(3 - 3 + 2*f) - 5*f**3 + 3*f**3 - 4*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1, -2*a = 2*a + 2*p - 3448834. Let m = a - 5392209. What is m rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2060*g**3 + 62032*g**2 - 470460*g + 52200.\nAnswer: -4*(g - 15)**2*(515*g - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1430\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3968 and 14467886?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22149 - 177471\/8. Is y not equal to -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.05033 years to centuries.\nAnswer: 0.0105033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18 and -57\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 4:10 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -17096221\nAnswer: 4\/17096221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 3*c - 6*c)*(12897 + 6403 + 2376 - 4705 + 2*c**2) in the form v*c**2 + k*c**3 + p + r*c and give r.\nAnswer: -50913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/(-34)*4\/(-5))\/((216\/(-222))\/18).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 59 = -2*r. Let c = r + 33. Solve 0 = -o - c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3024243m?\nAnswer: 30.24243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-11)*(-9)\/(-36)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -62\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25665659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 18*q - 31. What is g(-21)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in 8, -4, -5, 6\/13, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 68, 82, 100, 122, 148?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = s - 5, -3*s + 4*x + 155 = 83 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/8321 + 8301\/33284. Let o = -0.01 + 0.01. What is the nearest to 1 in 0.4, o, -4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 25\/6*u**4 + 3*u + 0*u**3 + 0*u**2 + 13 - 16\/5*u**5. What is the third derivative of j(w) wrt w?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srsgsgssrrrs. What is prob of sequence ggsg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/388 and 75\/8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 3*k**2 + k - 1. Let t be a(3). Is 2 - (-213 - t) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37a6 (base 12) to base 15\nAnswer: 1d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let k = 479\/2695 + 1\/245. Put k, 2\/5, s in increasing order.\nAnswer: s, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*n**3 + 13*n**3 - 24*n**3 + 186*n**2 - 288*n - 8*n + 200 - 92*n**2.\nAnswer: 2*(n - 2)*(n - 1)*(n + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = 0, 3*d + 765 = -5*t - 2262. Let j = 878 + t. Suppose -j = 136*k - 140*k. What is the remainder when k is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 4*o**2 + o + 7. Let p = 22 - 17. What is y(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136459 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/2)\/(-6)*(-6)\/45?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 5. Suppose -4*o - 2*c - 4 = 0, -2*o - 3*c + 0*c - 10 = 0. Let l(v) = 1. Calculate o*w(p) + 6*l(p).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - r**3 - 5376 + 5450 - 18*r.\nAnswer: -r**3 - 6*r + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/35)\/(4\/((-20)\/(-3)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 24 = 3*b. What is the common denominator of ((-12)\/(-40))\/(b\/91) and 101\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202797078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 45 + 88 + a**3 - 39. Let d be k(2). Differentiate -8 - d*r**3 + r**3 + 8*r**3 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25262, 25832, 26378, 26894, 27374, 27812?\n\"Answer: -t**3 - 6*t**2 + 595*t + 24674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 6. Let j be n(-8). Suppose 0 = -j*f - 0*f - 2, 7 = 4*l - 3*f. Let b = 221\/5 - 44. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227622*g**4 - 104*g**2 - 8*g + 3?\nAnswer: 5462928*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -3. Let i = 1112\/985 - -14\/197. Which is the smallest value? (a) -4 (b) i (c) 0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/2, 898, 0.3 in descending order.\nAnswer: 898, 0.3, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.472446413 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8372 - 672 = -f. Is 35 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436 * 0.13\nAnswer: 56.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71.6 - -75. Let z = -3.9 + l. What is the second smallest value in 3, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 914185065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*i + 141, i - 9*i - 3*c = -5*i - 75 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -109758 and 9.\nAnswer: -109749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 - 38470?\nAnswer: -38326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*s - 4*a, -2207*a = -4*s - 2208*a + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, -1, 0.2, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/6)\/((-3375)\/(-1800)))\/((-6)\/(-297)*-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccccpcc. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 - 2 = 0. What is the remainder when 22 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 4. Suppose -a = -s*a. Suppose -2*o = -3*q - 7, 3*q - 5*q - 12 = -5*o. Solve -m - o*m + 15 = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 - 16*a**2\/7 - 2*a\/7 + 16\/7.\nAnswer: 2*(a - 8)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33667\/3 - -27*(-24)\/(-972)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2 - 8 - 7 - 2*v. Let t be u(-11). Find the common denominator of -21 and -121*(-1)\/(-10) - t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120856 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a + 1142 - 10*a - 1202)*(109*a + a**3 - 109*a - 16).\nAnswer: a**4 - 60*a**3 - 16*a + 960","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (1 - (-7 - 8 - (9 + -17)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, y: 2}. What is prob of sequence yxyx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287 - 289. Let z be t + (-20)\/(-5) + 2. Suppose -2*m = 2*m - 36. Solve -13 + m = z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3 - 194874*h**2 - 100029*h wrt h?\nAnswer: 12*h - 389748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -3 - 5\/(-1). Suppose 0*t = b*t - 10. Factor 3*m**2 - 2*m + t*m + 9*m + 6.\nAnswer: 3*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 89602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.487 - -0.587. What is the nearest to 2 in 4, 0.012, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163.4 - -188. Let b = -21 + q. Round b to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z. Let u be q(1). Let t = u + -11. Is t\/(-3)*60\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.6634302 to zero dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*s + 52 = -143, -4*s = -3*i + 177. Suppose -5*y = -4*f - i, 3*y - f = 69 - 27. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -930.5 and -17.3.\nAnswer: -947.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3612 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 3, a: 4, l: 2}. Give prob of sequence ap.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 + 1021 = 12*v. Calculate the lowest common multiple of v and 96.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*-1*(4*(1 + (-2*sqrt(112) - sqrt(112))) - (sqrt(112) + 1 + 1 + 6*sqrt(112)*1 + sqrt(112))))**2.\nAnswer: -200000*sqrt(7) + 28002500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/12 + 5 + (-3055)\/260)*10\/(-2255).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-183)\/(-30)*3350\/(-2680).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (-1 + (sqrt(1539) - (sqrt(1539)*-2 + sqrt(1539))) + 4)*3 + -4)**2.\nAnswer: 540*sqrt(19) + 55429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 144*c - 660480 = 0. Is c a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45492 and 108.\nAnswer: 409428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:54 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*v + 4*n, 0 = -2*v - 0*v + 3*n + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 42*g - 5. Let z be w(-4). Let o = -244 - -529. Let c = o + z. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 8686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*m + 57*m + 0 - 4 + 17 - 5 to the form o + p*m and give p.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1504 + -14535?\nAnswer: -13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/3 - 1165948*t**2\/3 - 9716706*t + 32647944 = 0. Calculate t.\nAnswer: -28, 3, 582999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1009 - 119*m**2 + 507 + m**2 + 510 + m to the form t*m + v*m**2 + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -21016208?\nAnswer: 21016211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, 5, 49, 89, 113, 109?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llal when four letters picked without replacement from {a: 1, l: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.0744436312 + 0.4.\nAnswer: -85.6744436312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 40, 50, 52, 40, 8, -50?\n\"Answer: -r**3 + 5*r**2 + 4*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 + 2*d - 2. Suppose -1257*r = -1249*r - 32. Let i be (-3)\/(-1)*(-5)\/3. Let n(v) = -6*v**2 + 2*v - 3. Determine i*w(j) + r*n(j).\nAnswer: j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let y be v(-6). Let s be 460\/100 + y\/(-10). Suppose s*h = q - 29 + 2, 2*q = -5*h - 11. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4460*d + 4206 + 124034 = 1254*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 1 - p**4 - 377*p**2 - 396*p**2 + 25*p**3 + 766*p**2 to the form o*p**4 + v*p**3 + a*p**2 + i + r*p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120, 489, 1126, 2043, 3252, 4765?\n\"Answer: 2*z**3 + 122*z**2 - 11*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:55 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -12. Let h = 26 + -11. Calculate the greatest common divisor of c and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172860, 345713, 518556, 691389, 864212, 1037025?\nAnswer: 1209828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -x + 19, -f + 33 - 4 = 2*x. What is the lowest common multiple of x and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -60. Let n = h + -104. Let b = n + 31.136. What is b rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 12*o**2 - 3*o - 18. Let l be w(-12). Let a = -15 + l. Suppose -5*r = -114 + 39. What is the greatest common divisor of r and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 7515\/4117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 48*u + 41. Calculate c(15).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(171) + sqrt(171) + -2*sqrt(171))*5*-1 - (5 + sqrt(171)*-1 + -3)) + -2 + 5)*2)**2.\nAnswer: 24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 889 - -171. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377364103 to the power of 1\/3, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 25 = -7*u. What is the closest to 2 in -2\/7, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 - -250. Which is the closest to 0? (a) x (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*c. List the prime factors of 18 + c\/(-6)*-4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 107700240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179006 + 1.91.\nAnswer: 179007.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*sqrt(102) + sqrt(102))\/sqrt(6) + sqrt(17))**2 - (sqrt(170)\/(sqrt(20)\/sqrt(2)) - (sqrt(612) + -1 + sqrt(612))).\nAnswer: -1276 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*p**2 - 2*a**3*p + 138*a**2*p + 9*a*p - 12*p**2 wrt a?\nAnswer: -12*a*p**2 - 12*a*p + 276*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 6*o + 12. Suppose -2*u + 20 = -o*t - 6*u, 2 = -4*t + 5*u. Which is the closest to -0.2? (a) t (b) -2\/17 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Put -1, i, 0 in descending order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*o**2 - 40*o**2 - 11*o**2 + 4*o**2 - 1 + 1 + (-2*o**2 - 2*o**2 + 2*o**2)*(3 + 0 - 6).\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or -114?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/54 - t**5\/5 - 3*t**4\/4 - t**3 - 48. Factor q(m).\nAnswer: -m**2*(m + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3594886 and 111886.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 9*j**2 - 14*j + 6. Let b be c(7). Suppose 2*q = 4*q - b*q. Solve -2*t - t + 3*d - 3 = q, 5*t - 2*d - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 324 = -w - 2*x, 4*x - 8 = 0. What is the highest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - m - 68, 0 = 2*m + 8. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 a when four letters picked without replacement from {p: 2, m: 6, i: 5, a: 3, l: 1}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 12, -14*l - 4*c = -13*l - 143. Suppose -d = -4*m - 24 - 50, 0 = -2*m - 3*d - 30. Let n = m + l. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 29*k**2 + 15*k + 4. Let o(c) = 44*c**2 + 23*c + 6. Let f(a) = 8*d(a) - 5*o(a). Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(6\/18*(-18)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u**2 + 4*u + 4. Let s be h(5). Let v = s + 12. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (((-2)\/(-3))\/(14\/(-21)))\/((-21)\/6552) and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i - 13. Let t(r) = 2*r + 4. Give -14*t(j) - 4*w(j).\nAnswer: 4*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5429964265212\nAnswer: -5429964265209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162920 divided by 2.\nAnswer: -81460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i**2 + i**2 + 6*i**2)*(-2*i - i + 2*i) + i**3 - 2*i**3 + 3*i**3)*(3*i**2 - 2*i**2 + 0*i**2 + (0*i + 3*i**2 + 0*i)*(1 + 1 - 1)).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 88*z + 571. Let g be h(81). Solve 2*t - g*l + 2 = 0, 0 = t + l - 4*l + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + 1 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 33.\nAnswer: 32\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94\/135 - -4\/135. Which is the nearest to -5? (a) 0.4 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*h*h**(3\/2)*h)\/h)**(-5\/11))**(-3\/2) assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 11 - 0) + 6 - (17 - 6 - 28)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -t, -5*p + 2*t = 5*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17082 at most as big as 17086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4126 (b) 2\/3 (c) -0.1 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 103233020?\nAnswer: -103233021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-63) - 41\/(-63). What is the third smallest value in 1\/6, 0.05, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -127, -280, -495?\n\"Answer: -31*g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4147467g?\nAnswer: 414.7467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*j + 70, -4*j + j - 3*v = -12. Let x = -7 + j. What is the second derivative of 4*f**2 + f + 6*f - 8*f - 2*f**x wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 81 = -15*r. Let k be (-4)\/18 - (-870)\/r. Suppose f - 2*b - k = 0, 3*f - 116 = 2*b - b. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20364*-303\nAnswer: -6170292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14942017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20339 or -2\/5?\nAnswer: -20339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-16)\/(-4))\/(-24)). Let c = 2 + 12. Let a = c + j. Solve -a = 3*p - p - 3*u, 2*u = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4*2\/14)\/((-11)\/77). Suppose -w - w = c*z - 234, z = -2. What is the second derivative of -27*g + 121*g**2 - 4*g**5 - w*g**2 wrt g?\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25705*z**4 - 14150*z**2 - 2 wrt z?\nAnswer: 616920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1230, 4633, 10214, 17973, 27910, 40025, 54318?\nAnswer: 70789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 + 3*x**2)*(0*x - 5*x + 0*x) - x**2 - x**3 + 3*x**2 + 0*x**2 + (-3*x**3 + 3*x**3 + x**3)*(-345 + 826 - 397).\nAnswer: 78*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3454.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -14*i**6\/15 + 25*i**4\/6 - 37*i + 49. Let h(s) be the first derivative of x(s). Find the third derivative of h(d) wrt d.\nAnswer: -672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4*((-114)\/(-36) - (-1)\/3) and 86.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 4*s + 2*s)*(2 - 7 + 0 + s).\nAnswer: 4*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.2 + 8. Let h = f - 2.05. Let n = 4.25 + h. Sort 0, -2\/5, n, 0.5 in decreasing order.\nAnswer: n, 0.5, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*n + 3*f - 1 = 199*n, -3*n - 4*f = 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 7*v**2 + v + 4. Suppose 30 = -5*u - 5. Let s be g(u). Let z = 0.4 - 0.3. Which is the closest to z? (a) -1\/3 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 561 + -554. Calculate the highest common factor of 1169 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 10, -14, 0.02, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69571 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1435 divided by 7?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*z - 29*z - 23*z + 14 + 77*z - 6 as p + n*z and give n.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 10. Let x(o) = -5. Give -5*l(j) - 10*x(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -407690542*w**3 + 203010208*w wrt w?\nAnswer: -2446143252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:38 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4 and 13\/3660.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157662794*s**4 + 129*s + 335366?\nAnswer: -1891953528*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*j + 459*j + 2 + 1051*j + 558*j.\nAnswer: 2447*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d + 5. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/(l*l\/(l*l\/(l*(l*(l*l\/(l**(-3)*l))\/l)\/l)*l)) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11 - 69*g**2 + 121*g**2 - 10 + 451*g**2.\nAnswer: 503*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44960 and 1128981568?\nAnswer: 8992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.246 - 0.11396298246\nAnswer: -0.35996298246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 + 20*u - 22. Let f(x) = 9*x + x - 9 + 3*x**2 - 2. Let w(n) = -7*f(n) + 4*s(n). What is the units digit of w(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.86, 1\/3, 1?\nAnswer: -2.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6 + (-4)\/(-24). Let v be 5*(1 + l) + 1. Suppose -g + v - 2 = 0. Solve -c + 11 = -g*t, 3*t + 2*c + 10 = -12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9)*(2 + 1). Let v = 5 + -5. Suppose 2 = h*p, 5*c + v*p = p + 14. Solve t - 9 = -4*l + c, 24 = 4*t + 4*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71624206 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*b + 184 = 0, 3*t + 3*b + 2*b - 128 = 0. What is the derivative of t*z**2 - 2*z**3 + 194*z - 115 - 94*z - 100*z wrt z?\nAnswer: -6*z**2 + 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/1066 - (-154)\/(-156)) + 402\/612?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 15) to base 3.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6440*p**2 + 4708*p**2 - 2079*p**2.\nAnswer: 9069*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*h + 3*h - 4*g, -5*h + g = -13. Let y be 1*10\/h - 1. Suppose -y*l + 7 = -1. What is the highest common divisor of 10 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(128) + -1 + sqrt(128).\nAnswer: -1 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5113125378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26713553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814312 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u - 23. Let h be k(4). Solve -8*x + 5 = -h*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*k - 91*k + 24 = -4*b, -5*k = -b + 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1995909 and 103\/5304?\nAnswer: 3528767112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3003*z. Let u(t) = -32*t**2. Determine a(u(f)).\nAnswer: 96096*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 4*u, 3*m - u = 160. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4\/5, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + 1. Let j be f(-1). Let c be (-4)\/6*j\/(-10). Let x = 2101\/2 - 1050. What is the fourth biggest value in 2\/7, 0.01, x, c?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 6014?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 40*n - 440, -55 = 12*c - 7*c - 10*n + 5*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a6 (base 11) to base 7.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 51.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/30 + r**4\/16 - r**3\/12 + 2*r**2. Factor z(y).\nAnswer: (y + 1)*(4*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Solve -l*a + 3*f + 10 = 0, 3*f - 8 = -2*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let r(b) be the first derivative of 1\/2*b**2 - 12 + 0*b. What is o(r(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100112 + -22?\nAnswer: 1100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012102101 + 12?\nAnswer: -21012102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-220)*(-100)\/(-15) - (3710\/161)\/5?\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -36. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799473889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 2. Let j be c(0). Suppose y + j*y = 6. Solve y = -3*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u - 4 + 67*u - 46*u in the form b*u + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3985)\/900 + (-4)\/(-10) + 0 and -57\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 15*p**2 - 169*p + 2542. Let a be k(15). Is a != 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*d + 32. Let n be (2\/(-3))\/(2\/d). Let s(t) be the first derivative of t**4\/4 + 4*t**3\/3 - 3*t**2\/2 - t + 717. Determine s(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0241 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 12*y + 6. Let f be c(-6). Let n be f\/(120\/70) - 6\/(-4). Let k(p) = 2*p + 3. Let a be k(-2). Put -5, n, a, 6 in decreasing order.\nAnswer: 6, n, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382758 = -350*v - 340408 for v.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -92, -198, -370, -632, -1008?\n\"Answer: -4*h**3 + 3*h**2 - 45*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a - 44 = 0. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 2)*(-11 + 11 - 2*l) - l + 1 - 1.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 84 = -2*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 0. What is the first derivative of 2*m - 3*m - i - 1 + 1 wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19761 = 4*o - 5*a, 3*o + 4*a - 14760 = a. Calculate the greatest common divisor of 689 and o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Let q(r) be the third derivative of -r**4\/4 + r**3\/6 + 12*r**2. Give -q(g) - u(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 44. Let l(c) = -c**2 + 1. Let h be l(-1). Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602282 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let q(x) = -6*x - 3. Let j(p) = -28 - 46 + 11*p + 79. Let m be 2 - (0\/1 + 5). Let g(s) = m*j(s) - 5*q(s). Give l(g(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 9*w**2 - 2*w + 15. Let u be i(9). Let s be 2*3\/(-18)*u. Let k = 8 + -5. Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*c + j - 5, 4*c = 2*j - 22. Let d = -945\/8 - -118. Sort 1\/5, -0.1, c, d.\nAnswer: c, d, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111010100101110 (base 2) in base 9?\nAnswer: 155038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -439488.915 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*1\/(-2)*2. Let c = -4 + x. Suppose 3*o = 6*o - y - 1, 5*y = -o - 5. Solve o = -u + c*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1331, 1313, 1293, 1271, 1247?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35804939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**2 + 2*l + 1. Let m be y(5). Let h = m + 601. Suppose 0 = -2*q + 5*s + 228, -3*q = -2*s - 3*s - h. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**4 + 15*d**3 + 72*d**2 - 64*d - 204. Let l(q) = 50*q**4 - 105*q**3 - 505*q**2 + 450*q + 1430. Let u(w) = 2*l(w) + 15*r(w). Factor u(m).\nAnswer: -5*(m - 5)*(m - 2)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5669\/101 = 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1838291163 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/20 - 2*y**4\/3 + y**3\/6 - 15*y**2\/2 + 1186*y. Give h(-7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (238\/188 + (-99)\/66)*1. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2416894 or 2416860?\nAnswer: 2416860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -22*c**3 - 2*c - 1. What is the units digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b**2\/3 - 1083*b - 6458\/3 = 0.\nAnswer: -3229\/10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and 6206159597577.\nAnswer: 6206159597576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -5*y, 3*i - 44395*y = -44391*y + 74 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.012\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43214224 - -1?\nAnswer: 43214230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-466)\/2097*15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 14*y**2 + 22*y - 39. What is q(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-10) + (-89)\/(-2). Suppose -4*v + 7*v = o. Let z = v + -8. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*p - 2*q, 0*q - 3*q - 9 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o - 20*o + 175*o**2 + 47*o**2 + 10*o**3 - 6*o**3 - 38*o**2 + 3 in the form x*o**2 + g*o**3 + u*o + k and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 + 25 - 25 - 150*c**2.\nAnswer: -169*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 15111*f**5 + 122307*f**4 + 313500*f**3 + 269580*f**2 + 21264*f - 1152 = 0.\nAnswer: -4, -2, -3\/23, 8\/219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahahr. Give prob of sequence hhah.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 10:42 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -941\/7 - -135. Let y = 24 - 20. Let k = 32\/9 - y. What is the second biggest value in k, j, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/9251 and 71\/2472954.\nAnswer: 2079754314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.107 smaller than -8.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22431 + 0.223. Round i to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733222 to the power of 1\/2, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 1 + 1)*(68*r + 114 - 135*r + 68*r).\nAnswer: r**2 + 114*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/7 - (-300)\/(-21). Let y = c + 1067\/84. What is the common denominator of 1 + -5 + 50\/120 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*y = -65, -5*c = -2*c - 2*y - 37. Let p(m) = -m - 7 + 0 - m + m**3 + c*m. Let k(d) = d**3 + 6*d - 6. What is -7*k(v) + 6*p(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3*(-2)\/(-6). Let p = -8 - -4. Suppose -n + 7 = -b - 4*b, -n - 9 = 3*b. Sort v, b, p in descending order.\nAnswer: v, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/3)\/k)\/k)\/(k**6\/k)*(k\/k**(1\/5))\/k*k\/(k**(-11)\/k) assuming k is positive.\nAnswer: k**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.092865 (b) -0.06 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3414*n + 1406*n + 1038*n + 1031*n.\nAnswer: 61*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -20*w**2. Let v(b) = 77*b**2 + 9*b + 9. Let s(g) = -19*g**2 - 2*g - 2. Let f(m) = 9*s(m) + 2*v(m). Determine l(f(h)).\nAnswer: -5780*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184721.9cm in micrometers?\nAnswer: 1847219000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b**2 + 3 - 1\/3*b**3 + 1\/5*b**5 + 0*b**4 + 0*b. Find the third derivative of o(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63\/5 + 66\/5. Let z = 110.101 - 110. Let y = z - -0.099. What is the closest to 3 in -3, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-42)*42\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*l - 846 - 48, 2*q - 5*l = 339. What are the prime factors of q?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6415486240 divided by 4?\nAnswer: 1603871560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 1421 = 3*k - o, 0 = -2*o + 4. Let c = k + 879. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181655935 to the nearest integer?\nAnswer: 13478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -10*a + 11. Solve -3 = 2*n + t, -a = -n + 2*n + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202022102110 + -1?\nAnswer: -2202022102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/120 + 7*h**5\/60 - h**4\/12 - 5*h**3\/6 - 18*h**2 + 17*h. Let j(l) be the first derivative of n(l). Determine j(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47278, -94558, -141840, -189124, -236410, -283698?\n\"Answer: -y**2 - 47277*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*sqrt(98) + (-4*sqrt(98) + -1 - sqrt(98)) + ((-4 + sqrt(98))*-6 - (sqrt(98) - (sqrt(98) + sqrt(98)*1 + 3))))**2.\nAnswer: -2100*sqrt(2) + 4153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*v**2 - 2052 + 2052 to the form u*v + t*v**2 + m and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/315 + h**5\/30 + h**4\/3 - 6*h**2. Let m(s) be the second derivative of b(s). What is the derivative of m(r) wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 8 + (2 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, -982624 in decreasing order.\nAnswer: 3, 2, -1, -982624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 149. Suppose 13 = 3*g - 2*y, 30*y - 31*y + 10 = q*g. Solve -g*p = 3*k, 2*p + 6 = -3*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -193, -281, -369?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -2*x + 9. Calculate the least common multiple of 18 and (x\/10)\/((-14)\/140).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 87. Suppose 3*q + u*q = 2888. What is q rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22009340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 15. Let c be f(-7). Suppose c*s = 135 - 3. What is the remainder when s is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t**2 + t - t)*(73*t + 39*t - 56*t + 198*t + 270*t) to b*t**2 + h*t**3 + q + o*t and give h.\nAnswer: 2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/30)\/(3\/24*4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -210*g - 20. Let m(s) = 52*s + 5. Let j(b) = -6*k(b) - 25*m(b). Suppose 5*z = 5*o + 45, -4*o - z = -0 + 11. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 3*m**2 + 4*m + 4. Let k be a(3). Let i be k + 4\/8*-8. Let y(c) = c**3 - 13*c**2 + 13*c + 14. What is the units digit of y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = j + j + 20, x + 4*j = 0. Suppose 0*h + 2*h - x = 0. Suppose -u + 1 - 2 = 2*n, h*u + 4 = 0. Solve 5*b - 4*g = g + 5, n = 2*b - g - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 7*n = -37, 4*f + 8 - 9 = 5*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 145590\/(-2110) + (-398)\/(-6)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v + y - 2*y, -2*y = -5*v + 10. Let q be -3 + 1 + (v - -22). Calculate the greatest common factor of 77 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-64))\/(50\/60)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0313 and -0.07?\nAnswer: -0.002191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (-94 - -90).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*l - 112*l + 31*l)*(-2*l**3 + 6*l**3 - 2*l**3 + (0*l + 3*l - 2*l)*(-2 + l**2 + 2) + 3*l**3 + 2*l**3 - 4*l**3).\nAnswer: -588*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -65.4622.\nAnswer: -1112.8574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 472 - 313. What is the remainder when v is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 - 1 + 1)*(-3*p + 3*p + 3*p)*(-3 - 1 + 2) - 36*p**3 - 6*p**3 + 15*p**3 to the form y + a*p**2 + u*p + m*p**3 and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + 2 + (sqrt(175)*-3 - sqrt(175))))**2.\nAnswer: -2160*sqrt(7) + 25524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36970 - -68975. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1. Let s(l) = 37*l**2 + 3. Give -3*h(x) - s(x).\nAnswer: -37*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89000 divided by 8900.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5610 + -0.49\nAnswer: -5610.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110111111110001101 (base 2) in base 11?\nAnswer: 475175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -94*h**2 + 244*h + 15. Let q(l) = -2*l**2 - l - 3. Let p(c) = 5*q(c) + s(c). Find the second derivative of p(n) wrt n.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 80395.67cm?\nAnswer: 803956.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 90767015 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7 + c**2 - 31 + c - 11 + 3*c. Is r(-13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3400100323 (base 5) to base 3\nAnswer: -111222020022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 76*k - 480.\nAnswer: -2*(k - 30)*(k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 17. Let b = 35001 - 35001.4. What is the third smallest value in s, 1, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 984. Calculate r(80).\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109071477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8913 + 7893 = -20*p. Calculate the lowest common multiple of p and 56.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + b - 15. Let f = -17 - -12. Put f, -2, b in descending order.\nAnswer: b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 58*x + 6. Let v be c(7). Suppose -3*b - 10 = 2*b, 5*g + 4*b = v. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22145)\/44290)\/(((-1)\/10)\/((-134)\/5))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 534846 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.004 and 79.705.\nAnswer: 79.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 440 - w**2 + 6*w**2 - 217 + 2*w**2 - 320 in the form x + r*w**2 + m*w and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + 2) - (22 - 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2*l**3 - 205*i**2*l**2 - 2*i**2*l - 14*i**2 + 889064*i*l**3 + 2*i*l**2 + i + l**3 wrt l.\nAnswer: 12*i**2 + 5334384*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1813 or 1809?\nAnswer: 1813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -139. Let w(i) = -45*i - 16. What is the units digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 - 4*g - 4. Let b(p) = -5*p**3 + 3*p + 3. Let c(k) = 2*k**2 - 2*k - 1. Let m be c(2). Let h(v) = -v + 9. Let w be h(5). Give m*r(i) + w*b(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -14*k + 72 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6391*n**4 + 8095*n**3 + 51388*n**2 + n - 150.\nAnswer: -153384*n + 48570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26160 and 2616.\nAnswer: 26160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -10*a**5\/11 - 294*a**4\/11 - 56*a**3 + 960*a**2\/11 + 2624*a\/11 + 864\/11 = 0.\nAnswer: -27, -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-663)\/(-442))\/(-1*(-3)\/24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -162. What is the greatest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215036 (base 7) in base 6?\nAnswer: 450445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 0 + 0*g + 7.\nAnswer: -g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, m: 1, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.612 - 0.112. Let o = p + -49. What is the third biggest value in -3, o, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (20 - -13) + (0 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -4\/17 (b) 1\/10 (c) 6 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 372 = -4*b, -5*b = t - 0*b - 195. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 2*i - 5. Give h(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998243225?\nAnswer: 3, 5, 11, 807371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 7*q - 5*k, 159*k - 158*k = 3*q - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r**2 - 31*r**2 - 5 + 116*r**2 - 23*r**2 - 630*r - 33*r**2 as x*r + w*r**2 + o and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 15*s = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 3*t**5\/20 - 7*t**4\/4 + 3*t**3 + 3*t - 44. Factor j(c).\nAnswer: 3*c*(c - 6)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100 + 2330?\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -2\/11, 0.248, -3, 2\/401 in decreasing order.\nAnswer: 0.248, 2\/401, -0.04, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, o: 5, i: 1}. What is prob of picking 1 h and 1 o?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -639874*m. Let i(d) = -2*d**2. Determine h(i(w)).\nAnswer: 1279748*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10121100112001 (base 3) to base 2\nAnswer: 111010011110100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -2*g - z, 5*g + 3*z = 24. Differentiate 2*c**2 + 4*c**2 + g - 2*c**2 with respect to c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*l + 26, -4*l + 0*l = 2*j + 24. Suppose p + 2*p = 0. Let d = 2 - p. Sort 4, j, d.\nAnswer: j, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/59? (a) 2\/3 (b) -2\/3465 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 352\/29?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3617*z - 119. Let k(p) = -2*p - 1. Let q(g) = a(g) + 3*k(g). Let i be q(-4). What is i rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -3, -0.5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3 + 9. Let x be 2040\/14 + t\/21. Let m = x + -89. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - v = 653, 0 = 3*y - v - 545 - 434. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 41021?\nAnswer: 41021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.34 - -0.14. Let n = p + 6.2. Let q = 5283\/34 + -311\/2. What is the nearest to 0.1 in n, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*2*-1 - ((sqrt(1539) - sqrt(1539)*1) + 5))*-4)**2 + -3 + (sqrt(1539) + 0)*-1*-6.\nAnswer: 2934*sqrt(19) + 98893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 + 28. Let k = -211 + o. Which is the third smallest value? (a) 6\/7 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ooozuzojzzooooouo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ea3d60 (base 15) in base 16?\nAnswer: aa2530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85361 = -7997*r + 66582 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 78724, 0 in increasing order.\nAnswer: 0, 3, 78724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 13*k + 15. Solve 6*f - f + 35 = k*u, 2*u = -2*f + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66461 (base 8) to base 2\nAnswer: 110110100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/232*4)\/((-69)\/(-2))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 - 7*u + 6. Let g be l(-8). Suppose 14*t + 6 = 17*t. Let r be (t - -1)*(g - -3). Solve 0 = -2*w + 2*o - 10, -r*o + 8 = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6386*u + 255. Let y be l(8). Suppose 2*o + 3*r - y = 0, o = -3*r + 7*r + 25655. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 193*m + 1560. Let i be q(0). Calculate the greatest common factor of i and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 458979791 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 7*s**2 - 3*s - 6. Let c = -8 + 1. What are the prime factors of k(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4517 less than -58706\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/66 and -115\/22728.\nAnswer: 250008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/189 and 29\/168.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - f - 2*f - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let j(x) = -8*x**2 - 1 + 1 + 0. What is j(o(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-16*41\/4592)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 1:03 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35120, 281056, 948584, 2248496, 4391584?\n\"Answer: 35132*y**3 + 4*y**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 134452388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -709030 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 31727945 and 31727943 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 29 = 2*m - 46, 4*g - 60 = m. Calculate the greatest common divisor of g and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**2 - 3*k**3 - 6 - 2*k**2 + 4*k**3 + 2*k**2. Let m be g(11). What is the common denominator of -97\/2 and m\/8*339\/(-27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8207, -7010, -3745, 2626, 13141, 28838, 50755?\nAnswer: 79930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13445*a + 13446*a - 26807*a.\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*a + 28*a. Solve 3 = -4*t - a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16699\/75 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.3 (c) -12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405045 (base 7) to base 4.\nAnswer: 100311300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 10 = -5*s. Let j(c) = 26221 + 3*c + 26226 - 52449 + c**2. Calculate j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 12, -1.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/13 - 10606*n**3\/13 - 222114*n**2\/13 - 1426690*n\/13 - 2905100\/13 = 0.\nAnswer: -5282, -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 39, 31, -36, 5 in ascending order.\nAnswer: -36, 3, 5, 31, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -0.2919 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*n**2 + 57*n**2 + 112*n**2 - n**2 - 10*n**2 to the form a*n**2 + x + s*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 = 6. Let t = -2 + 4. Suppose -t*b + 23 = 3. Solve o + 2*k = 7*k + 18, o = q*k + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a factor of 80610010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*3\/(-18))\/(2\/(-30)). Suppose -165 = -l*i - 3*d - 2*d, 2*d = -5*i + 159. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, -3.2 in decreasing order.\nAnswer: 4, 1, -3.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/20 + 2*f**3\/15 + f**2\/10 + 6. Factor x(r).\nAnswer: r*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-20)*-5 + -1. Is 160 + (o\/(-6) - -3) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*h - 4 - 1 + 5 to q*h + j and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 356*r + 15840. Let u(a) = a**2 - 356*a - 15839. Let d(q) = -3*p(q) - 2*u(q). Find o, given that d(o) = 0.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39219.\nAnswer: 3, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14.7. What is the nearest to -0.1 in -3, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1)*20\/(-240). What is the closest to c in 5, -2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3136)\/84*(-27*3\/(-63))\/(9\/(-6)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -657 - -867. Let p = r - 209.999916. Round p to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19617\/31894 + 3\/431. What is the common denominator of v and 23\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 29. Calculate v(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 1, d: 8}. What is prob of picking 2 d and 1 e?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-3\/8)*n)*n*n*n**(2\/5)*n)**(11\/8)*((n\/(n\/n**2))**(-40))**39 assuming n is positive.\nAnswer: n**(-997509\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -q - q, 4*b + 3*q - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -405.727 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + 101001221?\nAnswer: 101002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14550718 (base 9) in base 5?\nAnswer: -3323043432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35\/2 in -441, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*14\/245)\/((250\/(-195))\/5)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*k = -w, -w - 2*k + 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2. Let q(v) be the second derivative of v**4\/12 - 3*v**2\/2 + 236*v - 2. Determine q(l(w)).\nAnswer: 9*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1605 = -2*j + 5163. Let g be (-4)\/(-14) - j\/(-14). What is the greatest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 = -67. Is 10\/o + 63\/5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + q - 5*q + 0*q. Let j(p) = 8*p. Let s(z) = -4*z. Let a(y) = 2*j(y) + 5*s(y). What is d(a(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 879, 841, 773, 669, 523?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -33*m + 140 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 29*k + 1129. Calculate the remainder when 311 is divided by h(-38).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*w = -3, 5 = -5*d + 3*w + 20. Let v(s) = 4*s**2 - 4*s + 3. Determine v(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 + 54 = 0. Let o = 12 - k. Does 11 divide (-11)\/(9\/o - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 60381*h + 3139811. What is i(-52)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1984926776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -31*b - 144 - 90 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 - 212*a. Let y be q(-41). Suppose -8 = -295*j + y*j. Let d = -49 - -248\/5. What is the biggest value in -4\/5, d, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 7, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from itit.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 5*g - g + (3 + 1 - 3)*(-3*g + 2*g + 3*g) + 4*g + 3*g - 5*g + 2*g + 8 + 13 - 10.\nAnswer: 5*g + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*l + 302*l + 55 = -p, 3*l = 2*p - 26 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199223711?\nAnswer: 199223711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -50.9. What is the nearest to f in 2, -0.4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-155*d + 140*d - 380*d)*(d**3 + 8*d**3 + 2*d**3) to the form i*d**3 + m*d**2 + p + o*d + g*d**4 and give g.\nAnswer: -4345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/33)\/(2\/15*-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 7. Let a be t(7). Suppose -u - 2*u + 21 = a. Solve 8 = -5*p - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2495 - 2173. Calculate the smallest common multiple of 28 and o.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*f**2 - 2*f**3 + 476*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3\/2, -8, 2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + -56. Let o = g - -505. Suppose -320 = -3*f - 5*q + o, f + q = 214. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612*s - 596*s - 1072 = 0. Calculate the greatest common factor of 335 and s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -2*z, -6*z = 2*b + 10*b - 3*z - 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11220 and 6?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 3, -1, 5, -155 in increasing order.\nAnswer: -155, -99, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3022292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16*32\/112?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9\/8 (b) -137 (c) 0.9 (d) 0.2 (e) -5\/4 (f) 0 (g) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 792*y**2 + 3*y + 13. Let n(o) = 2*o**2 + o + 3. Calculate -b(j) + 5*n(j).\nAnswer: 2*j**3 + 802*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 15 = 0. Let z(s) = -5*s**2 - 14*s + 1. Let i(f) = 3*f**2 + 9*f - 1. Let b(o) = -8*i(o) - 5*z(o). Give b(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m + 3. Let h be ((-42)\/(-12) - 1)*(3 + -1). Sort h, -2, m.\nAnswer: -2, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o**2 + 70641*o + 70653.\nAnswer: -3*(o + 1)*(4*o - 23551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41000 (base 9) to base 16.\nAnswer: 695d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*u - u - 12, 0 = w - 5*u - 20. Suppose g - 4*g - 9 = w. What is the units digit of (g\/(-9))\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**26)**(5\/8) assuming z is positive.\nAnswer: z**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 7960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4, -3*k - i + 21 - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(65)*-2)\/(sqrt(1260)\/sqrt(7) + (sqrt(5) - 2*sqrt(5)*-3) + sqrt(5)) + 1.\nAnswer: 1 + 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2, 0*p + 3*p - 5*a + 8 = 0. Let g be p\/4 + (-22)\/8. Let s(t) = -3*t**2 + 5*t**2 - 3*t - 3*t**2. What is s(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/14))\/(w*w**(-36))*(w\/(w*w*w*w\/((w\/w**(-20)*w)\/w)))\/(w**(1\/17)\/w) assuming w is positive.\nAnswer: w**(13059\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68531177 to the power of 1\/2, to the nearest integer?\nAnswer: 8278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6622 is divided by 662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2333 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16584?\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*g - 81*g - 12 + 42*g - 2*g - 1 + 1 + (0 + 0 - g)*(1 - 3 + 3).\nAnswer: -g - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 8*s**2 + 12*s - 3. Give r(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1884715*-4.8.\nAnswer: -9046632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146145.8 + -3.\nAnswer: -146148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 90272?\nAnswer: 90272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80079432 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 1744.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -40959154.\nAnswer: -40959153.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 6) to base 12\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 19. Let q be u\/30 - (-26)\/30. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*a - 73 - 13, -5*x + 92 = 2*a. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2348391*d*p**5 + 58*d*p - 38*d + 8*p**5 + 74*p + 1 wrt p.\nAnswer: -46967820*d*p**3 + 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73458 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 - -54. Let i = -67 - p. Suppose -2*z - i*c = -8*c - 3, -2*c = 4*z - 14. Solve 3*b - 2*g = 3, g + z = -5*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -248 + 7?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.93 times 321\nAnswer: -940.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*n + 4*i - 1, -9 = 3*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -10?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**3 - 5*v**2 - 11. Let r(b) = b**3 + 13*b**2 + 20*b - 17. Let t be r(-11). What are the prime factors of q(t)?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*(-190)\/342*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*2*sqrt(1331)*1 - ((sqrt(1331) + 0 + -3 - sqrt(1331) - sqrt(1331)) + 0)) + -4)**2.\nAnswer: 6006*sqrt(11) + 587140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/7 + 12786*s**2\/7 + 13636260*s\/7 + 27221400\/7 = 0. What is s?\nAnswer: -2130, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3479228947 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:48 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-35) - 18\/7. Let o(f) = -7*f + 2. Let h(x) = 5*x + 0 - 8*x + 0 + 1. Calculate y*o(d) + 5*h(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011100001011010 (base 2) to base 9.\nAnswer: -181565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + o = -14 + 9, 2*o = 2*m - 10. Suppose 0*h - 2\/9*h**4 + 4\/9*h**3 - 2\/9*h**2 + m = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16309*l - 41 = -o + 16308*l, -2*l + 64 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121)\/((sqrt(66) - (sqrt(66) - (sqrt(66) - sqrt(66)*1)) - sqrt(66))\/sqrt(6)) + 1 + (sqrt(99) - 1*sqrt(99)))*-1)**2.\nAnswer: -8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o - 5. Let g(l) = 101*l + 6. Let i(b) = 2948*b + 176. Let k(u) = 88*g(u) - 3*i(u). Let j(a) = 4*a. Determine o*k(y) - 32*j(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000 + -10101010?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + (-1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 8\/3 (b) 0.4 (c) -3\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -111.\nAnswer: 77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -24*l**3 + 18*l + 18. Let p(w) = -7*w**3 + 5*w + 5. Let v = -2305 + 2300. What is v*u(t) + 18*p(t)?\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133, 132, 131, 130, 129?\n\"Answer: -q + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/10)\/(4\/402). What is the second derivative of n*v**2 - 201*v**2 - v + 6*v**4 wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4826*v**3 - v**2 + 3*v + 121?\nAnswer: -28956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4 + 18 - 14 + 12*r**2. Let j(z) = -7*z**2. Determine q(j(x)).\nAnswer: 588*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*(-117)\/54)\/(3\/42). Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 89013328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 9:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 14. Let k be d(6). Let q(w) = w**3 - 11*w**2 + 9*w + 10. Let v be q(10). Let n = k - v. What is the remainder when 45 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 462, 1855, 4180, 7437, 11626, 16747?\n\"Answer: 466*x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11823912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s + 2*o + 8 = 0, 3*o = 4*s - 23. Let v(m) be the second derivative of 1\/6*m**3 - m**s + 0 - m. Differentiate v(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 15*f**2 + 9*f - 40. List the prime factors of x(5).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9 = 6. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8. Which is smaller: j or 2\/137?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65b2 (base 14) to base 3.\nAnswer: -220010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232207 by 4.\nAnswer: 232207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/((s\/(s*s**(-5)))\/s*s))**12\/(s**(2\/9)\/s**0*s**(-3\/4)*s*s*s**1) assuming s is positive.\nAnswer: s**(-4841\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*q + 618. Let g = q - 277. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + z**2 - 8*z**4 + 4*z**3 - 4*z**4 + 2 to the form q*z**4 + l*z**2 + y*z**3 + k + d*z and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 20828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(5))\/(6*sqrt(6)*-2).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3 - 2*y + 10*y**2 + 1 - 2*y. Suppose -113236*d + 113239*d = 9. List the prime factors of r(d).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 175?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 2220?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44124768 and 170.\nAnswer: 3750605280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/2, 5, 2\/9, 2\/19, 2\/7, 14 in increasing order.\nAnswer: -11\/2, 2\/19, 2\/9, 2\/7, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) -786\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127613 is divided by 76.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -575894 divided by 110?\nAnswer: -26177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20191276?\nAnswer: 2, 7, 721117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*s + 8, -4784*s + 4784*s - 32*w = -32 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754 is divided by 334\/3 - (-852)\/(-639)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3069*d**2 - d**4 + 1535*d**2 + 1505*d**2 + 2 + 4*d to the form x*d + t*d**3 + y*d**2 + v*d**4 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**2*j*r**2 - b**2*j*r + b**2*r*w - 2*b**2*r + 207*b*r**2*w - 2050*b*r*w - 111*j*r**2 - 4*j*w wrt r.\nAnswer: -12*b**2*j + 414*b*w - 222*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 2*p**2 - 10*p - 21. Let m(k) = 3*k**3 - 5*k**2 - 27*k - 63. Give -8*g(z) + 3*m(z).\nAnswer: z**3 + z**2 - z - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**9\/4320 - d**8\/840 - d**7\/1260 - d**4\/3 - 22*d. Let n(r) be the third derivative of s(r). Solve n(l) = 0 for l.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 + 9 = 0. Put 2, i, -9 in decreasing order.\nAnswer: i, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.05. Let n = m - -0.05. What is the nearest to n in -0.5, 3\/5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 + 2*w - 4*w + w**2 + 8*w**2. Is 10 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 5. Let f be c(-8). Suppose 7*w - f = 11. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0583 and 5?\nAnswer: 5.0583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 8:05 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 16*t + 16*t + 2*t**3)*(1 + 5 - 4) + 0*t**3 + 2*t**3 + 0*t**3.\nAnswer: 6*t**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 39 - 23)*(-12*c - 5*c + 7*c) to the form z + n*c and give n.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 656*h - 1962. Let j be m(3). Solve 3*o + 2*d + 19 = j*o, d = -3*o + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -37. Sort t, 0, 3\/5.\nAnswer: 0, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2446931.1s?\nAnswer: 40782.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/17255, 35, -1, 1?\nAnswer: -2\/17255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3129*o**3*y + o**3 + 34*o**2*y**2 - 4*o*y**2 + 1530*o*y + 4*o + 12*y**2 wrt o?\nAnswer: 18774*o*y + 6*o + 68*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkh when three letters picked without replacement from khnhnhnhkknnchkk?\nAnswer: 25\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231103844 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784, -1568, -2352, -3136?\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**(-1\/61)*x*x\/(x**5\/x)*x*x**(-1\/16)*x*x assuming x is positive.\nAnswer: x**(4559\/4880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 411422 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/9 - (0 - -2 - 1). Suppose -h*f + 4*c = -10, -4*f = -2*f + 5*c - 4. Is 14 a factor of 106\/f*(0 + (-1 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.77013 or -0.87?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:07 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 14*c + 8. Suppose -223*k = -218*k + 65. Give p(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (42 + -53 - 41)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(272)*-1 + sqrt(272))**2 - 5*sqrt(34)\/sqrt(2)) + 1.\nAnswer: -5*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.03, 4\/3, 0.4 in increasing order.\nAnswer: 0.03, 0.4, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-16)*16\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12262 and 83.77?\nAnswer: 12178.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-1\/18)\/(q\/(q\/q**(-3\/13))*q\/(q*q\/(q*q*q**(-4\/9)\/q*q*q*q))))**(-8) assuming q is positive.\nAnswer: q**(2176\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 38*y**3 - 5*y**2 + 5*y + 51. Let x(l) = -19*l**3 + 3*l**2 - 3*l - 26. Let q(c) = 3*o(c) + 5*x(c). Differentiate q(s) wrt s.\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 79*d**2. Let l(z) = 13*z - 6. Let r(o) = 2*o - 1. Let c(a) = l(a) - 6*r(a). Determine c(h(y)).\nAnswer: 79*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022 (base 3) to base 15.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b + 0*b**3 + 0 - 5\/24*b**4 + 8*b**2 - 1\/30*b**5. Find the second derivative of y(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5068359.\nAnswer: 3, 29, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u - 11*u - 9*u. Let z be q(-2). Suppose -3*n = -z*n - 2. Which is bigger: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, d: 1, c: 1, e: 4}. Give prob of picking 1 e and 2 k.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 23.9. Let y = j + 5.9. Sort 0.01, 4, y in decreasing order.\nAnswer: y, 4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.135 and 1.845.\nAnswer: 0.249075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 11 - (55 + -135)) + -10 - 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, -5, 0 in decreasing order.\nAnswer: 249, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) -324 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -649.57 rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000000111000100111000 (base 2) to base 16.\nAnswer: 607138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -200, -406, -620, -842, -1072, -1310, -1556?\n\"Answer: -4*g**2 - 194*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-54)*(((-4)\/18)\/1)\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(sqrt(140) + (sqrt(140) + sqrt(140)*1 - sqrt(140))))\/(sqrt(7) + sqrt(1008) + -1*sqrt(1008) + sqrt(1008)))*-5 + 4.\nAnswer: -1 + 80*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, j: 11}. Give prob of picking 1 l and 1 j.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216789*z + 108449*z = -108503*z + 10106 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2c - -2991?\nAnswer: 1c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/15 (b) -7 (c) -13 (d) -106 (e) 3 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. Which is the biggest value? (a) -1\/2 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 43 = 4*z, 4*z + 2*m = -z - 6*m - 66 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*g**3*i - 752722106*g**3 + 382832*i**3 with respect to i.\nAnswer: -10*g**3 + 1148496*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*k**2 - 27523367239 + 27523367239.\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -224, -219, -214, -209?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -5512.\nAnswer: 6063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllrwwl. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrrhhrrrrrrrrrr. Give prob of sequence rhh.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -82146 < 4\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 1299 = -13*x. Let l(w) = -x*w + 432*w + 0 - 7. Give l(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let t(b) = -b**2 - 6*b - 9. Let d be t(-3). Is d <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -79675815213600\nAnswer: 79675815213600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 462\/(-66) - (5 - 2) - (-16 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -34*n - 78 + 112 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*m = 157*m - 3604 - 456 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*s - 235*s + 2*g - 31 = 0, s + 10*g - 66 = 15*g for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(75) - 6*(sqrt(75) + 0)))**2.\nAnswer: 1687500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312\/9 - (-1 + (-5)\/(-3)) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) -2903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, p: 2}. Give prob of sequence puu.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k + 9. Let m(p) = -27*p**2 - 189*p + 10. Let s be m(-7). Let l(r) be the first derivative of -3\/2*r**2 + 4*r - s. What is -4*f(c) + 9*l(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 24. Let g = -490 + 487. Let j(x) = 248 - 493 + 250 + 2*x. Determine g*q(s) + 14*j(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/416 and 37\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1586.992 - -1621. Round m to zero dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2\/19, 3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - (sqrt(209) - -4*(sqrt(209) + sqrt(209)*1))))\/(sqrt(1584)*-2) - (1 + sqrt(19) + 5 + -6*(-2 + sqrt(19)))*2.\nAnswer: -36 + 77*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4614426 (base 11) in base 9?\nAnswer: -16164100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 627.4 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(3 + 1 - 6)*(2*j + 0*j - j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 348960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-2)\/(-2) - (-7 - -5). Is 3209 + h + -3 + 14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 120 = -4*o, -f = 4*o + f - 120. Let y = 7 + o. Let i = 2408 - 2264. What is the remainder when i is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-2)*1*(12\/2)\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -523435825152 less than 0.2?\nAnswer: 523435825152.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 - 117*d\/4 - 324.\nAnswer: 3*(d - 48)*(d + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -151, -494, -1159, -2254, -3887, -6166?\n\"Answer: -18*q**3 + q**2 - 6*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9ad + -1?\nAnswer: -9ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhuhfffffhhvhuhhhf. Give prob of sequence hhff.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = 262*z + 505. Let d(b) = -b**2 - b + 1. Let j(o) be the second derivative of -o**5\/4 - o**4\/4 - o**3\/3 + 3*o**2\/2 + o. Give z*d(t) + j(t).\nAnswer: -5*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054429951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = 41. Let w = -14 - c. What are the prime factors of 222\/3 + (-3 - w)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Solve g = q - 7 + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 21*w**2 + 20*w - 85. Calculate the remainder when 515 is divided by a(-12).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2 - 1123*v - 28287. What is k(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 199, 221, 263, 331?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.528 and -0.2.\nAnswer: 0.5056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.06, 0.2, -14 in descending order.\nAnswer: 0.2, -0.06, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2051 - -11819. Is q a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d + 7. Suppose -5*y + 17 = h, -10 = -4*y - 2*h - 0*h. Let t(s) = 3*s + 6. Give y*t(k) - 3*j(k).\nAnswer: 3*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16, -130, -243, -4 in increasing order.\nAnswer: -243, -130, -4, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -24*k**2 - k - 2. Determine s(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**4\/12 - 2*j**3\/3 - 2*j**2. What is o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 79, 114, 183, 298, 471?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 7575 = z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58747 at most -58748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -522 - -706. Suppose 41*i - 431 = s. Calculate the smallest common multiple of i and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80437813 less than -9?\nAnswer: -80437822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122311041 (base 5) in base 13?\nAnswer: 6ac9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3892575 less than -2?\nAnswer: -3892577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 110324?\nAnswer: -110332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26178249 divided by -8726083.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 30 = 41*f. Find the common denominator of ((-4)\/f)\/((-1201)\/(-237) + -5) and 149\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41b + -1c?\nAnswer: 3ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4188538?\nAnswer: 2, 263, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/45? (a) -4 (b) 3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/336 and -113\/749016?\nAnswer: 10486224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2862905.69 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**3\/7 + 142*r**2\/7 - 278*r\/7 + 138\/7 = 0.\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120797889 by -1.\nAnswer: -120797889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 - 177. Let n = -54 - -258\/5. Which is greater: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 46800968.421.\nAnswer: 46800976.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -10 (c) -4 (d) -4\/29 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11456, -11454, -11452, -11450, -11448?\n\"Answer: 2*s - 11458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.44 + 4.24. What is the second smallest value in -6, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/11 - 84*f\/11 = 0. Calculate f.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 206 - (-34 + 180) - (-8 - 1)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 5974136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -304*s + 367*s - 106848. Calculate the greatest common divisor of s and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/3*((-780)\/(-2115))\/(-52)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200211?\nAnswer: 3, 11, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/((-60)\/(-2))*(-10)\/(-4)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p - 3. Let j be n(-2). Let b = 6 + -3. Let g be b\/(-6) - j\/(-2). Solve 4*f - a = g, 0*f = -5*f + 3*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:38 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*v, -4*b + 3 + 3 = 2*v. Suppose 4*c - b*n = c + 774, 1298 = 5*c - 4*n. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))\/g**0 assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -96. Let n = b + -30. What is the units digit of (n - -53) + -1 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4\/7 (b) -1 (c) 14 (d) -5\/13 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 2*w + 56 = 0. Which is the closest to 0.2? (a) w (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let h(b) = 7*b. Give -6*d(v) + h(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 105 = -93 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.356 - -0.044. Let j = -225 - -209. Let x = j + o. Which is the third smallest value? (a) x (b) 3\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(45) + -3 + sqrt(45) + 4))**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*w - 33 = p, -w = 3. Let k be 2\/p - (-473)\/99. Suppose 12*x = k*x + 28. Put 3, 2, x in decreasing order.\nAnswer: x, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 - 20 = -s, o = 0. Solve 0 = t + 3 + 1, 0 = -3*a + 5*t + s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z. Suppose 3*t - 8 - 1 = z, -12 = -3*g - t. Let i be ((-9)\/(-6))\/(g\/208). What is i rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) -0.03 (c) -37.5 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2497687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4533?\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 16. Let n(w) = -w + 6. Let t be n(d). What is the highest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 12 - (0 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -53, 0, -4, -5, -30, -1 in decreasing order.\nAnswer: 0, -1, -4, -5, -25, -30, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -171. Let s(p) be the third derivative of 1\/40*p**6 + 0*p + 0 + n*p**5 + p**2 + 1\/6*p**4 + 0*p**3. What is the second derivative of s(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102433523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 3, i: 4, p: 2}. Give prob of picking 1 n and 1 p.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-78)*2*1*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 + r**2 - 2*r + 10. Let t(n) = -14*n**3 + 2*n**2 - 5*n + 29. Let f(i) = -11*g(i) + 4*t(i). What is the units digit of f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54511, -54596, -54681, -54766, -54851?\n\"Answer: -85*j - 54426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 4246*f + 25467\/2.\nAnswer: (f + 3)*(f + 8489)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 284 or 185?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6.3. Let y = a + 0. Let k = 0.7 + y. Is -0.1 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/372587 or 4\/3?\nAnswer: -3\/372587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6805 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - 2224?\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:15 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.7 - -18. Let p = -6 - z. Let m = -7 - -9. What is the second smallest value in m, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 927584 divided by 1312\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -59*s + 180. Let g be a(3). Solve 5*d - 2*u = -2, -g = 4*d - 2*u - u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 74*t**2 - 638*t + 714.\nAnswer: -2*(t - 1)*(t + 17)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183088881?\nAnswer: 3, 20343209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-8) - 25\/(-8). Suppose 0 = 2*g + 4*x - 6, -g - p*x = g - 7. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 1.10171. Round u to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122 - 0?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97 and -0.76335?\nAnswer: -74.04495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1545141 (base 7) to base 3.\nAnswer: -101211021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epnpt. What is prob of sequence epn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1765715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6628*j**2 + 99492914*j + 90066.\nAnswer: 2*(j + 15011)*(3314*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:56 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*b + 4*b - 29, 5*b - 4*u = 37. Solve -6*k = -b*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-9) - -16) + 30. Solve 33*c = -s - 57 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/11 - 1248*h**4\/11 + 4648*h**3\/11 + 194080*h**2\/11 - 384000*h\/11 - 7936000\/11 = 0.\nAnswer: -8, 10, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:16 PM?\nAnswer: 334","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 o when four letters picked without replacement from {v: 7, w: 2, o: 3, u: 4, t: 1}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)*2 - -4. Suppose -3*b + 43 - 2 = -q, p*b + 1 = -5*q. Suppose -b = -5*m + 8. What is the highest common divisor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077516 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20370 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2702534, -2702537, -2702540?\n\"Answer: -3*n - 2702531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.5614 rounded to zero decimal places?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evel when four letters picked without replacement from vivtlviieeevivvil.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6945 + 6942. Let a(d) = 12*d + 19. What is a(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9247567 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 - 24\/14. Let y = v + 4. Suppose -b - y*b + 9 = 0. Solve -5 = 5*z - 9*s + 4*s, -2*z - 6 = -b*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12493470 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**15\/p**(-8\/3))\/(p**15*p**(1\/10)))**(1\/4) assuming p is positive.\nAnswer: p**(77\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*f = 4, 3*y + 4*f - 7*f = 0. Suppose y*n - 3*r = 13 - 5, 4*r = 5*n - 13. Let b be (3\/(-30))\/(297\/(-1350)). Which is smaller: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55521957 and 192349.\nAnswer: 8363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256506 is divided by 504.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (0 + -1) - -33399986. Suppose -w + 3*w - i = -3*j, 5*w - 83500004 = j. What is w rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -29. Which is the nearest to i? (a) 4 (b) 6 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 5648, 4, 3, -4, 2 in descending order.\nAnswer: 5648, 106, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*a + 4*i + 249, -3*a + 198 = 3*i. Let c = 150 - a. Round c to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*h + 36375 = -2094*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:20 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 - -1.07. Let o = n + 0.1. Let h = o + -0.9. Sort 9, h, -0.5 in decreasing order.\nAnswer: 9, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492466176 to the nearest integer?\nAnswer: 22192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817399.8 days to seconds.\nAnswer: 70623342720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003662479 to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/238)\/((2\/4*(-160 - -164))\/(-7)).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29057174280 - 0.046.\nAnswer: 29057174279.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let t(n) = 2*n - 13. Let u be (-210)\/90 - 4\/6. Let m(g) = -g + 4. Let x(d) = u*m(d) - t(d). Calculate z(x(r)).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30512 is divided by 62.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 98*b**2 - 3*b - 2. What is w(-1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 4*p - 99, -107 = -d + 2*p. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**6\/15 - q**4\/4 + 5*q**2 + 11*q. Let t(o) be the first derivative of g(o). What is the second derivative of t(z) wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:35 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45041 - -26579. Let v = u - -56332. Suppose -8*j + v = 6*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 3*p**2 - 9*p - 15 + 17. What is the lowest common multiple of x(6) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 divided by 211?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(10\/((-480)\/(-36))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -3 + (sqrt(5) - 2*sqrt(5)) + 0)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 3*q + 5. Let d be (0 + -3)*(-2)\/2. Let t(c) = -c + 2. Let m be t(-7). Let g(o) = 11 + 0 - 7*o - m*o**2 + 0. What is d*g(s) - 7*z(s)?\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210122002002 (base 3) in base 10?\nAnswer: -1488674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292740 divided by -2460.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 2*z - 4*z + 8*z)*(-2*z + 3*z - 4*z) in the form r*z**2 + f*z + q and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1445)\/170*96\/(-136).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 30*w**2 + 47*w - 75. What are the prime factors of i(-23)?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 5*c)*(-3*c**3 + 2*c**3 - 12*c**3) + 2*c - 2*c - 2*c**4 + (-3 + 3 + 2)*(-2*c**4 - c**4 + 2*c**4) - 4*c**4 + 4*c**4 - c**4.\nAnswer: 34*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + 5 + 73 + 32 + -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 2 t when four letters picked without replacement from {i: 1, c: 5, t: 4, a: 5, w: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvvvylvyvvl. What is prob of picking 1 v and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (-6 - 0 - -3). Suppose -j = j - r. Solve -h = -2*s, 0 + 16 = j*s + 2*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let g(t) = -9*t**2 + 4*t + 62. Let k(s) = -4*s**2 + 2*s + 29. Let z(y) = 6*g(y) - 13*k(y). Give -2*u(q) + z(q).\nAnswer: -2*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 22387*w - 7663*w + 9692*w to the form t*w + b and give t.\nAnswer: -20358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (140\/21)\/(-5)*(-21)\/2 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56398 and 209618?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*k**2 - k**3 + 3*k + k**4 + 2 - k + 44*k**2 as s + q*k**3 + x*k**2 + n*k**4 + g*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333, -343, -375, -441, -553, -723, -963, -1285?\n\"Answer: -2*c**3 + c**2 + c - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:36 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 32456628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2200) + sqrt(2200) + sqrt(2200) - sqrt(2200) - (sqrt(22) - sqrt(110)\/(sqrt(5)*2)))\/(-4*(sqrt(2) + (sqrt(18)*1 + sqrt(18))\/sqrt(9))).\nAnswer: -59*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2192\/(-7809)*-4*30\/(-160).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/1419 and 1 + 3 + 2 - 2784\/504.\nAnswer: 9933","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147112 is divided by 551?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -40, -19, 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*a + 17 = 2*o, -2*a = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -55?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9907.1 times 0.06\nAnswer: 594.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 8*c + 10. Suppose -5*k + 21 = 4*x, -5*x + 0*k = 4*k - 24. Let n(h) = -h**2. Let m(y) = x*n(y) - i(y). Is m(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 22673 = -4*a - l, -2*a = 2*l - 11350. Suppose 0 = 84*c - 80*c - a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 12. Suppose -h + 2*r = -3, -4*h + 9*h - 33 = r. What is the remainder when h is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose w*o - 3*p = 12, -6*p + 2 = -o - 3*p. Suppose -2*m = -o*m + 10. Solve -5*i + 29 = -2*k + 3*k, -2*i + 3*k - m = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -2)*7*2\/(-6). Which is smaller: 11 or g?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/4? (a) 0.2 (b) 7\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010467 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: Let y(s) = s**3 - 15*s**2 + 43*s - 91. Determine y(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -0.3, -40, -1\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -7978983.2.\nAnswer: -7978983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1924*u**4 + u**3 - 2*u + 1 - 3*u**3 - 6 + 23*u**2 - 1925*u**4 in the form t + x*u**3 + a*u**4 + q*u + s*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1430)\/121 - 6\/33. Let o be 13\/(78\/c)*6\/(-15). Determine x so that o*x**3 - 36\/5*x**2 + 96\/5*x - 64\/5 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 5*h - 4. Let w be o(-5). Let v be ((-14)\/w - 3)*18. Let u(z) = 9*z + 86245*z**2 - 319 + 313 - 86246*z**2. What is u(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*t - 75 = -2*l, -t = -2*l + 35. Suppose -6*v + l = 3. Solve -i + v*x = 8, -2*i - 3*i - 3*x = -12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001100100 (base 2) to base 9\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 275, 263, 235, 185, 107, -5, -157, -355?\n\"Answer: -i**3 - 2*i**2 + i + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*(-4)\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb7a (base 15) to base 9.\nAnswer: -152487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0*v*v)**(-44)\/(v**(-2)*v\/(v*v\/v**(-2\/5))) assuming v is positive.\nAnswer: v**(-643\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)\/(2\/(-4)). Let t(k) = 2*k**2 - 6*k + 5. Let m(q) = -2*q - 1. Let l = 0 + 1. Let s(c) = c. Let z(b) = l*m(b) + 3*s(b). What is d*z(n) + t(n)?\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r + 97 + 131 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 7*d + 3. Suppose q = 4*a - 0*q - 10, 5*q - 13 = -a. Suppose 10 - a = -i. Let r(x) = -x**2 + 3*x + 1. Calculate i*r(u) + 3*p(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d - 18*d - 16*d + 4*d + 9 - 9 + (0 - 2*d + 0)*(1 - 2 + 0) + 3*d + 2*d - 2*d to the form a + l*d and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4 - (-38)\/10). Suppose -3*m - 15 = 4*y, -d*m - 7 - 2 = 4*y. Which is greater: -10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + -13?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-2 - sqrt(132))\/sqrt(12))**2 - sqrt(66)\/(sqrt(6) - sqrt(6)*2).\nAnswer: sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 3*v + 3. Suppose 0 = 4*k - 10 - 2. Suppose -3*r - 9 = -3*d, -5*r + d - 2*d - 9 = 0. Let x(a) = 2*a + 2. Give k*x(n) + r*j(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.137332 to 3 decimal places.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 54813469.5 to the nearest one hundred thousand.\nAnswer: 54800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: e079 (base 16) to base 15\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0 + 4*w + 1)*(0*w - 3*w + 4*w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22803700 - 8?\nAnswer: 228036c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1) + (-47)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*(-12)\/(-9). Let u be (-11030)\/300 + l\/4. Let b = -110\/3 - u. Are b and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -3*c**5\/80 + 127*c**4\/3 - 114469*c**3\/8 - 114921*c**2\/4 + 11542*c. Find m such that i(m) = 0.\nAnswer: -2\/3, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349089835 + -1087763911063\/3116. Let g = -1\/779 - w. Find the common denominator of 79\/8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -20 + 3666*d + 55 + 95. Let p(v) = 229*v + 8. Let b(h) = -4*f(h) + 65*p(h). Let g(u) = 10*u. Calculate 3*b(k) - 65*g(k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/7 + 41835*j\/7 + 83682\/7 = 0.\nAnswer: -2, 13947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92, -181, -268, -353?\n\"Answer: o**2 - 92*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76747 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*f*z + 170*f wrt z.\nAnswer: -49*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -788.6 + 789. Let p = 5.6 + -11.6. What is the closest to 0.1 in p, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbnbmmd. What is prob of sequence bbxd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/184422 and 67\/1659798.\nAnswer: 1659798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:44 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5441, -4 in decreasing order.\nAnswer: 1, -4, -5441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*p + 5 = -2, -11 = 5*w + 2*p. Let b = -11233\/180 - -518\/9. Find the common denominator of b and w + (-171)\/(-6) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 (base 5) in base 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7381 - -44159\/6. Find the common denominator of t and -73\/3616.\nAnswer: 10848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x, -n + 4 = -5*x - 10. What is the highest common factor of n and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535085736.\nAnswer: 2, 3, 113, 191, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 0.65. Let i = -0.3 + b. Let r = -22 + 21.4. Is r not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 12*i**2 + 8*i + 4. Is f(-8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 7*w**2\/2 + 13652. Let x(s) = 6*s**2 - 4*s. Let k(j) = -j**2 + j. Let p(u) = 4*k(u) + x(u). Give p(f(d)).\nAnswer: 98*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -5*l + s*b - 13 = b, 5*b = 2*l - 11. What is the tens digit of -1 - l - (-20 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2489033 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.6 and -7487.\nAnswer: 41927.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((6*-4*sqrt(108))**2 - sqrt(108)) + (sqrt(108) + 3 - sqrt(108)) + -5 + 3).\nAnswer: -24*sqrt(3) + 248848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let f(b) be the third derivative of b**6\/48 - b**5\/30 - 65*b**4\/24 - 77*b**2. Let d(p) be the second derivative of f(p). Determine d(g(i)).\nAnswer: 30*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 - p**2 + 104*p + 5. Let j(l) = -3*l**3 - l**2 - 2*l + 1. Give 3*j(c) - k(c).\nAnswer: -2*c**3 - 2*c**2 - 110*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -6?\nAnswer: 83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4737 - 4734. Let d(z) be the second derivative of -8\/21*z**o - 5\/42*z**4 - 1\/70*z**5 + 0 + 13*z - 4\/7*z**2. Determine r, given that d(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 3*l = 9, 4*l + 9 + 1 = -13*v - 0*l + 22 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b - 7. Suppose 3*y + 20 = -y. Calculate the remainder when t(y) is divided by (3 + -7 + 10)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j - 3. Let k(u) = -9*u + 2. Let l be 8 - (2 + 2) - -3. What is l*k(a) + 5*d(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 2*m + 8. Let g be (-14)\/(-6) + -2 + (-138)\/(-18). Calculate the remainder when r(g) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 48528?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1619 + 0*q - 54*q - 79022 + 1894.\nAnswer: -54*q - 78747","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 228.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -52, 149944 in decreasing order.\nAnswer: 149944, -0.3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*q**6 + 16*q**2 + 3.\nAnswer: -9960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 30. Let z be i(-9). Let d be ((-13)\/(-3) - -2)*(-5 - -8). Solve d = -5*p - w, -3*p + 2*w + 10 = -z*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 656 and 80?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 134886 (base 16) to base 9\nAnswer: 2335476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -4 (d) -73063\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0304 (b) -0.3 (c) 21 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 2 - 4*t**2 + 2*t**2 - 4*t**2 - t**3 + 2*t. Let o be k(-4). What are the prime factors of 4\/10 + 56\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -79, -0.3, 0.3 in decreasing order.\nAnswer: 0.3, -1\/8, -0.3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 33 = 27 + 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 10*b**2 + 8*b - 8. Let z be p(-9). Suppose 4*t + 3*q - 34 = q, 0 = -2*t + 3*q - 3. Let u = t - z. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202833 plus -0.58?\nAnswer: 4202832.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*l - 10 = 154*l, 4*l = -4*s + 24. Let m be 2\/3*(-1692)\/(-8). Let g be (-1)\/(-2) - m\/(-6). Put g, 5, s in decreasing order.\nAnswer: g, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 50*v + 245. Let l(q) be the first derivative of q**3\/3 + 3*q**2\/2 - 8*q + 4. Give l(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.27 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513*-2.67.\nAnswer: 1369.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 16. Let l be s(-5). Suppose -2*u + 1 = j, -2*j = 3*j - 5. Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - 5*o**2 - 14*o. Let x(d) = 5*d**3 + 11*d**2 + 30*d. Let c(y) = 7*m(y) + 4*x(y). Let s be c(11). Put s, -5, -7, 3 in ascending order.\nAnswer: -7, -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 121, 175, 213, 229, 217?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 - 616*d - 23716 = 0. Calculate d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**3 + s**2 + s. Determine w(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/12 - l**5\/60 + l**4\/4 + l**3\/3 + 50*l**2. What is the second derivative of r(b) wrt b?\nAnswer: -60*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 15*p = 12. Let k be ((-27)\/6)\/(1\/2). Let d = p - k. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from aaetbqqeqttattbt.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381428178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -28. Let n = 28 + k. Suppose n*f - 446 = 880. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3094 - -3133. Solve -4*z - 15 = -s for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2*c - 5*c - 19)*(-2*c + 4*c - 3*c).\nAnswer: 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2. Let z(a) = -22*a - 3. Let i(c) = c - 1. Let b(s) = -s**3 - 15*s**2 + 3*s + 41. Let v be b(-15). Let r(j) = v*i(j) + z(j). Determine r(k(o)).\nAnswer: -52*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:15 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 16*b**2 - 18*b + 21. What are the prime factors of t(13)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*k**2 + 3*k - 3*k + 301*k**2 + 181*k**2.\nAnswer: 407*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(2 + sqrt(5)*-1 + -1 + sqrt(125)).\nAnswer: 4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208891118*t**3 - 177043179*t**2 + 2*t wrt t.\nAnswer: 1253346708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 35*h**2 - h + 1. Is a(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 141. What is the least common multiple of 22 and z?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -672*(-402)\/(-192960)*-5*(-1 + -6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*w = -965 - 244 - 102. Sort w, 0, 2, -461, -3 in descending order.\nAnswer: w, 2, 0, -3, -461","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*r + 2 = 0, 2*o - 3*r + 8 = r. Let v = o - -49. Let g(s) = -19 - s - 22 + v. Let y(c) = 7*c. Calculate g(y(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.035 + -0.509. Let y = 0.4 + i. Let c = y - -0.07400073. Round c to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 2 - (-6718)\/1344. Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119560139 to the power of 1\/3, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/14, -5, -6434?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o\/(o*o**(1\/6)))\/o)\/o)\/o)\/o**(-18))\/((o\/o**(2\/9)*o)\/(o\/o**13)))**34 assuming o is positive.\nAnswer: o**(323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211 (base 6) to base 8.\nAnswer: -2537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116790*x**2 + 374*x + 80801848.\nAnswer: 233580*x + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 394326.5 micrograms?\nAnswer: 0.0003943265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*x = -0*x + 14, -d + x = -2. Let f = d + 2. Let k = -5 + f. Let j(a) = -a - 4. Calculate j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6356 = a, -2*p = a + a + 4236. Let y be (4 - 2) + p\/924. Let n = y + 1\/132. Is n bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159262 is divided by 79537?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8669, -69794, -235703, -558788, -1091441, -1886054, -2995019?\n\"Answer: -8732*d**3 - d + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -47, -38, -13, 34, 109, 218, 367?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45359257 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 3, 2\/9, 21183?\nAnswer: 21183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 21*t - 6. Let r be a(-8). Suppose r = -3*g - 244. Let p be g\/87 + 4\/3. Is -1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*u - 0*u - 18248, 5*a - 2*u = -22792. Let y be (a\/18)\/(5\/((-150)\/4)). Round y to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(60\/8))\/(-5). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.422579 millilitres to litres.\nAnswer: 0.007422579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10877 + 10891. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76781170604108 + 4.\nAnswer: 76781170604112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d. Let f(h) = h**2 + 21*h + 70. Let y be f(-4). Let g(u) be the second derivative of -u**3\/2 + 5*u**2\/2 - u. Let l be g(y). Give v(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o + 11*o**2 + 13 + 29*o + 8 - 12*o in the form x*o + s*o**2 + m and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 15. Let u(c) = -c**2 - 11*c - 5. Let t be u(-11). Let g be h(t). Let x(b) = -10 + g + 0*b**2 + 5*b**2. Let i(j) = j**2. Calculate i(x(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 - 224. Suppose 421 = 2*d - 2*m + m, -4*m = -u*d + 852. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - -3*sqrt(112)*-4 - -6*sqrt(112)*-4) + 0)*-1*-5.\nAnswer: -700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.492031 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 12. Let g be h(0). Let v be (-1)\/3 - (-4)\/g. Calculate the common denominator of -51\/7 and -7*(-3 - (2 - v)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31749)\/53390 - (-5)\/(100\/12). What is the smallest value in 4, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 51*j + 27. Let q be o(-25). Solve 4 = -3*l - 2, -2*n - 3*l = q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(51))\/sqrt(3).\nAnswer: -sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16981441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*i + 0*i = -6, -5*i = u - 15. Suppose u = 3*s - 2*s. Let -4\/5*p**4 + 0*p**3 + s + 2\/5*p**5 - 2\/5*p + 4\/5*p**2 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**3 - 495*h**2 - 6195*h - 20825 = 0.\nAnswer: -85, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 - 8*v**2\/11 - 2*v\/11 + 8\/11.\nAnswer: 2*(v - 4)*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -10. Suppose 0 = 11*a - 5*a - 48. Calculate the lowest common multiple of a and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.5*-0.2106\nAnswer: 11.6883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.402 + 164.402. Let q = -2.57049 + -161.32051. Let i = u + q. Round i to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-2)\/(16\/(-62)). Let k = q + 57. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 19, 43, 105, 217?\n\"Answer: 2*w**3 + w**2 - 19*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u + 3*b = -14, -3*b - 25 = -2*u. Suppose -5*x - 80 = -2*o - 3*o, 5*x - u = -2*o. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 5, 0.05, -10, -1 in increasing order.\nAnswer: -10, -1, -2\/11, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/39117 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -n + 13, -3*n - 2*n = 5*h - 35. Suppose -12 - 3 = -n*r. List the prime factors of 28\/r + 2\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1152424 and -49\/178879.\nAnswer: 130223912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11999055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 6?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9776 and 27807832.\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/22760 and 7\/50072?\nAnswer: 250360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 132084071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -507.9865 - -508. Let y = j - -0.3865. Suppose -4 = -3*t - t + 4*v, -2 = -2*t - 2*v. Which is the nearest to t? (a) 4 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = -5*n + 3*m, -5*n - 3*m = 32. Let d = n - -1. Is 7 a factor of ((-2)\/d)\/((-4)\/(-132))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3 - -1) + 40. Let t = 8 - u. Let k = 62 + t. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 21*i - 15. Let m be p(-20). What is the first derivative of -87*a**3 + 39 - 8 - m - 72 wrt a?\nAnswer: -261*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -243 and -244 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16257 - 13626 - 12095 = 64*p - 37434 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -216540.4822 rounded to the nearest one hundred?\nAnswer: -216500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3319 is divided by 2880.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/24, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 17*p**7\/630 - 91*p**5\/60 + 43*p**4\/6 + 28*p. Let a(g) be the third derivative of c(g). Differentiate a(z) wrt z.\nAnswer: 136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 13871 = 14991 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3172 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1152853 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1456 + 1450. Let h = 1.2 + -0.2. Let m = y - h. Which is the third biggest value? (a) m (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28045*h - 73628.\nAnswer: -28045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11367 + 12815. List the prime factors of l.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403136 divided by -120\nAnswer: -50392\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2801739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 3*b**4\/4 + 23*b**3\/5 + 3*b**2 - 24*b\/5 - 8. Factor o(s).\nAnswer: 3*(s + 1)*(s + 4)*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13669.8 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:58 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332491 and 3262.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.79 (b) 6375.7 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -932\/1555 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000859 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(189)*2*-1 + 2*sqrt(189)*2)\/(sqrt(33)\/(sqrt(11) - sqrt(99)) + 2*sqrt(12)))**2.\nAnswer: 151\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 37*o**2 + 71*o - 20. Determine s(-35).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Let n(k) = -k**3 - 9*k**2 - 3*k - 22. Let c be n(-9). Solve -5*x + 3*a - 24 = -h*a, -3*x = -c*a + 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 - -0.0245\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 75.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6*(-2 + 2). Suppose o = j + 6*s - 3*s, 5 = -5*s. Suppose i = -4*v - j + 1, 5*i - 14 = 4*v. Solve i = -5*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/(b**(-24)\/b))\/b*b*b*b*b**14 assuming b is positive.\nAnswer: b**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 26 - (18 - 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 - 5*s**2 + 8*s. Let k be i(2). Calculate the remainder when 31 is divided by (-122)\/(-6) - k\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9\/3 + 801 + -141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23815 is divided by 148?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (-22 + 18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.03 in -1, 2\/7, 475?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -5 - 12 + 20 + u - u**2. Suppose 8*q - 4*q + 15 = -n, -n = 2*q + 9. Give i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c - 68*c + 84 = 0. Calculate the highest common factor of c and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 5*v + 192, -2*l + 312 = -4*l + 5*l - 153*v + 144*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -55, -2, 63403 in descending order.\nAnswer: 63403, 1, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.1. Let d = -26213.9 - -26214. Let w = -10 - -5. Which is the closest to u? (a) w (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 259 + 49 = 0. Let h = g + -45. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/15)\/(2\/10). Let b = k - 9. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 - (-15)\/3. Suppose g - 4*i = 12 + 1, -2 = g + i. Suppose -s + w = g. Solve -8*r + 3*r = 2*n + 3, 0 = -2*n + s*r - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -713567353 less than or equal to -713567353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943*n - 3655*n + 1745*n.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 4039 = -142*z + 784 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 6, c: 3, r: 2}. What is prob of picking 1 l, 1 c, and 1 r?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/567*(-3)\/(-2). Let k = -74\/819 - l. Let x = 0.4 - -0.1. Which is the nearest to 2\/7? (a) x (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c + 5. Suppose l = -4*a - 32, -3*a - 4*l - 12 = 12. Let j = 4 + a. Is o(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -1 - -29) + -40 - 1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.6 + 29.6. Let m be (-4)\/(-6) - 4\/(-12). Suppose -y = -0*q - 2*q + 10, -3*y + q = 10. What is the third smallest value in m, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*y**4 - 47*y + 1.\nAnswer: -2388*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-22 - -14) - -6 - (4 - 97).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 745 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251\/6 - -1291\/30. Let h(l) be the first derivative of 8 + 2\/5*l**3 - 3\/10*l**2 - j*l + 3\/20*l**4. Factor h(c).\nAnswer: 3*(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 120 = 4*i. Let k(m) = -7*m + 7. Let t(g) = -41*g + 42. Let z(o) = i*t(o) + 34*k(o). Is z(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 - (-6)\/4*-2. What is the highest common divisor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 18 - 1549 = -2*p, 0 = 5*p + y - 3860. Suppose -18 = p*b - 782*b. Solve -b*h = -4*q - 20, 9*q + 25 = -2*h + 4*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 99128 = -4*g, 0 = 34*g - 30*g + 3*n - 99086. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y + 2 = 2*b, 5*y + 6 = 4*b. Suppose -10 = -b*j - j. Is 13 a factor of 25 + j + -3 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 - -11) + -1 + 2 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3603 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2, a: 7, y: 1, h: 7}. What is prob of sequence gp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15301 divided by -1.\nAnswer: -15301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 - 2*m**3 - 3*m**4 - 2*m**2 + 2*m**4 - 4*m - 11*m - 49 + 17*m as g + h*m**3 + i*m + j*m**4 + u*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.025, -2, -0.04, -17 in decreasing order.\nAnswer: -0.025, -0.04, -0.4, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 and -11\/205628.\nAnswer: 411256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -386075957 rounded to the nearest 100000?\nAnswer: -386100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w + 68 = 4*t, -2*w = 4*t - 70. Let p(s) = s**2 - 16*s - 30. Let f be p(t). Solve g - 8 = -2*b, -7 = -f*g + g + b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -30. Let n = b + 11. Sort -5, 16, n.\nAnswer: -5, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 86.23044 weeks?\nAnswer: 52152170112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 - 6\/12) + 377\/26?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 113666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 38 and 1\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q**3 + 2*q**3)*(2*q + 3*q - 6*q) + 3*q**4 - 2*q**4 + q**4 + 108*q**4 + 140 - 140.\nAnswer: 111*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)*l)**19\/(l**(5\/3)*l*l*l**(-8)*l))**(-21\/8) assuming l is positive.\nAnswer: l**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12606504*j**2. Let m(l) = 8*l. Determine i(m(z)).\nAnswer: 806816256*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) - 84\/(-10). Is 2\/z - (-67)\/4 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1 - (18 + -11)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 4*t)*(13 + 12 - 4).\nAnswer: -63*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -42254770.7?\nAnswer: -84509541.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -27805*k**2. Let j(r) = -r**2. Give j(m(d)).\nAnswer: -773118025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4347678 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44669 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from {t: 4, v: 3, w: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w - 1. Let c be f(8). Suppose -k + c = -105. Let a = 191 - k. What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -31*n**2 - 8*n + 14*n**2 + 19*n**2 + n. Let o(c) = -3*c**2. What is m(o(x))?\nAnswer: 18*x**4 + 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*u - 648 = -312*u - 297*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 10:23 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*u + 156, -72*u - 68 = -73*u + 2*n. Solve 0 = 8*l - 44 + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 2\/9, 0.5, -0.03, -2\/445?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + f + 1. Let r(s) = -s**3 + 4*s**2 + 3*s + 12. Let g be r(5). Let m be d(g). What is the units digit of m*(24\/(-20) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, -0.4, 3\/77?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 43 + 21*x)*(-4*x**2 + 1 - 1) in the form k + b*x**2 + d*x + u*x**3 and give u.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7429, -40675, -99743, -184639, -295369, -431939, -594355?\nAnswer: -782623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648103?\nAnswer: 739, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0 - 2. Let k = u + 0. Calculate the greatest common factor of k and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -5, -2, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 410*i**2 - 419*i**2 - 88 - 74 + 249*i = 0.\nAnswer: 2\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186162 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 30355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010100 - -10011011010?\nAnswer: -11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 371 - 266. Let k = f - 64. Calculate the highest common divisor of 164 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*6)\/(36\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2041223221?\nAnswer: 2041223213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1111101101000010001000 (base 2) to base 13\nAnswer: b1198a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let t be 1*6*(-1)\/(-3). Suppose t*a = -4*l, -4*l - a = -5*a - 24. Let v(s) = -l*s**2 + 0*s + 0*s. Give v(d(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-12)*(-405)\/(-2250).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000211075 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 94.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125.4969l to millilitres.\nAnswer: 125496.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o**2 - o. Let r(y) = -4 + 5*y + 0*y + 349*y**2 - 1 - 352*y**2. Let j(u) = u**2 - 2*u + 2. Let c(k) = -5*j(k) - 2*r(k). Determine n(c(g)).\nAnswer: 19*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 2*l + 3. Suppose -11 = 5*y + 4. What is h(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, -43, -20 in decreasing order.\nAnswer: 5, -20, -38, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 9*x**2 - 2*x + 2. What is a(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -822 + 830. Solve -d = 3*r + x, -5*d + r + 18 = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0*b + 0*b - b**2 + (2*b - b - 3*b)*(-2*b + 0*b + 0*b) + (-4*b**2 - 2*b**2 + 4*b**2)*(-385 + 684 + 485) as r*b**2 + n + g*b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuueceuu. Give prob of sequence ece.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062 a factor of 798544554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2239 - -2593. What is the least common multiple of 472 and o?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 < -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*g + 15, 4*g - 2*g = 2*t + 10. Solve g*h + u - 1 = -4, -3*u = -4*h - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 24*a**3 - a - 25*a**3 - 5 + 6*a**2 - 2*a. Let n be r(5). Suppose -w = -n*w + 72. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3280 = -28*p + 20*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14949 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35415 divided by 49\nAnswer: -35415\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 2. Let j be o(0). Let m(b) = 13*b - 7. Let g(y) = 14*y - 6. Let l(c) = 4*g(c) - 3*m(c). Is l(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2)*1 - 1. Let t be -9*1\/n + 2. Let r(p) = -p**3 - 8*p**2 - 10*p. Is r(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 28. Let m(l) = -6*l + 65. Let o be m(11). Let q(x) = -2*x + 12. Let v(w) = 1. Let r(u) = o*q(u) + 12*v(u). What is k(r(g))?\nAnswer: -8*g**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1779*(-20)\/(-45))\/((-2)\/3*1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/57 and -11\/321.\nAnswer: 6099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -63) + (0 + 15 + -26 - (-2 - -3))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20221 + -20215. Solve -2*q - o = z, 3*o + 14 + 0 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 78\/(-6) + (-7 - -8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994\/(-63) - 86\/387.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 14)\/((-1)\/3). Suppose -28*a + i*a - 216 = 0. Suppose 2*p - a = -2*u, 3*u - 7*u - 2*p = -218. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -64, -73, -82?\n\"Answer: -9*q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 510*w**2 - 13005*w.\nAnswer: -5*w*(w + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1\/716, 0.4, -0.5 in ascending order.\nAnswer: -5, -0.5, -1\/716, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1201 = -5*l - 321. Suppose -l = -3*m + 4. Calculate the greatest common factor of m and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054468 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: What is the nearest to 1\/2 in -1\/3, -1096, -21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - 1897\/630)\/((-1)\/(-41)) and 52\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - -0.51. Suppose -4*m + 5*p - 4 = 0, 26*p = 5*m + 22*p - 4. Suppose -2*v - 7 = m*l + 3, -4*l = 5*v - 5. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21631*q - 2766*q + 9851*q.\nAnswer: 28716*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 - 272\/(-8). Let j be (-5)\/t + 44\/14. Suppose -2*n + 0*a = -a - 47, n - 41 = -j*a. What is the smallest common multiple of 10 and n?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31665.7501 - -31668. Let g = i + 0.0899. Let x = g + 0.0502. What is x rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyy when three letters picked without replacement from kykyyyyyykyyyyyy.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35790, -143520, -323060, -574404, -897546, -1292480?\n\"Answer: p**3 - 35911*p**2 - 4*p + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x. Let w(s) = -2*s + 72. Give r(w(j)).\nAnswer: -20*j + 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000032358129 to seven dps.\nAnswer: 0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 155673932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = -12. Suppose u + 13 = q. What are the prime factors of (u\/(-2) + -3)*4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/((-21)\/6)*485\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/13 - 16*k\/13 + 30\/13 = 0 for k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-44)\/(-77) + 465*4\/(-168) - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11141)\/(-1) + (0 - 7).\nAnswer: 2, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 3. Determine v(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*d - 14. Let z = d + 0. Let s = z - 11. Solve 0*l = -4*l + 4, -s = o - 3*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*b*l*n**4 + 3*b*l*n**2 + 55*b*n**3 + 572*b*n**2 + 4*b*n - 3*l*n**4 wrt n.\nAnswer: 2352*b*l*n + 330*b - 72*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/27 and -55\/3291.\nAnswer: 29619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 7. Let b be q(-3). Let z = b - 4. List the prime factors of ((-60)\/1)\/(z\/6).\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) 4 (b) -0.009 (c) -169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -337 + 329 + 577609\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g + 2 + 5 + 2 + 2. Let b(p) be the second derivative of p**3\/6 + p**2 - p. Let w(s) = -11*b(s) + 2*l(s). Let y(f) = -4*f. Calculate w(y(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 14. Let q be 5 + 1 + -1 + 0. What are the prime factors of k(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 11. Let u be z(9). Let c = 7 + u. Suppose -c*q - 248 = -9*q. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 268 + 113 = 0. Suppose 2483 = -271*s + 547*s - 85*s. What is the remainder when d is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1154 + -1546?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 549*z + 2817. Let p be d(-6). Let v(j) = 171*j + 1. Let n be v(-2). Let x = n - p. Calculate the lowest common multiple of 18 and x.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-29 + 7) - (1 + 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(160)*-1)\/(sqrt(40)\/((sqrt(105)\/sqrt(7))\/sqrt(3))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 2*w - 1 = 2*l, 4*w + 14 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/6)\/(2\/(-3)). Let x be (-2 + 3)*(y + -1). Which is the third smallest value? (a) -1 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/14)\/((-3)\/168*-12). Let y be ((-96)\/60)\/k - 244\/(-10). Solve 3*c - 29 = 5*f, -f + 4*c = 2*f + y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - -104. Suppose 133 = -928*f + 935*f. Suppose f*w - 71*w = -2236. Calculate the remainder when i is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) - (602\/4760)\/(10 - (-147)\/(-15))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2408677216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 10. Let v(y) = -y**2 - y - 1. Let k be v(-5). Let h = k + 27. Calculate the least common multiple of h and q(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*j = 49, 2*j = 5*x + 43 - 153. Let h(m) = 12*m + 22. Let b be (-2)\/(((-15)\/(-10))\/(-3)). Calculate the remainder when h(b) is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*w - 0*w, 20 = 5*x. Suppose w + 99 = 3*g. Let k = 12 + g. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -4)*(-11 - (9 - (-14794)\/(-741))). Factor 4\/19*f + l*f**2 - 6\/19.\nAnswer: 2*(f - 1)*(f + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2. Let n(r) = 3*r**2. Let m(i) = -2*i**2. Let s(g) = 5*m(g) + 3*n(g). What is s(t(f))?\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 8*m)*(3*m + m - 5*m) + 4*m - 4*m - m**2 + (-2*m + 5*m - 2*m)*(0*m + m + m) + m**2 + 3*m**2 - 3*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 6246176*v**2 - 2438388432756*v - 24384508949160.\nAnswer: -4*(v - 780777)**2*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 6*t - 98. Let h be -1 + 18\/2 + -1. Let m be (-4)\/t*h\/3. Which is smaller: -10 or m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-178)\/(-14) - 4\/(-14). Suppose -a - 4*h + 4 = 0, 3*a + h = n - 1. Solve -2*s - 3*k = -4, -s = 2*s - a*k + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 234, 216, 180, 120, 30?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9126\/(-182) + 50 - 194\/14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let r(j) = -j**2 + 7*j + 1. Let l(v) = r(v) + 6*s(v). Let c(o) = -o**3 - 2*o**2 - 6. Let p(b) = c(b) + 2*l(b). List the prime factors of p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6506*u - 22206. Give q(-3).\nAnswer: -2688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1.5 (b) 1\/10 (c) -57\/10 (d) -1 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, 115, 291, 467, 643, 819?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051 is divided by 507?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 1480.\nAnswer: 1480.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(34)\/sqrt(2) - sqrt(17)*2*-6).\nAnswer: -3 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 548\/20 + 3\/5. Let z = q + -23. Suppose 2*i - 2*b = 7*i - 395, z = -b. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -211 (b) -506 (c) -4 (d) -1 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 79 = -6*f + 2*f, -2*f = -8. Differentiate -22 - l - 46 - 31 - 59 + 245*m with respect to m.\nAnswer: 245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 179409?\nAnswer: 179404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i\/(((i\/((i*i*((i**3*i)\/i)\/i)\/i))\/i)\/i))\/i)\/i))**22*(i\/(((i**(-22)\/i)\/i)\/i)*i)\/(i*i**(4\/11)))**(-34) assuming i is positive.\nAnswer: i**(15096\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2543465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11813*y + 611. What is the hundreds digit of x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35048234 is divided by 2081.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 16337?\nAnswer: 16343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-27))\/(8\/(-30516)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31696*w + 95084. What is d(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 11*l**3 + 4*l**2 + 5*l**2 - 48*l**3 - 10*l**2.\nAnswer: -59*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awae. What is prob of sequence ewa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 6*j - 42. Let s be y(6). Which is smaller: 196\/3 or s?\nAnswer: 196\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/18 and 13\/(-22) - (31 + -27)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - o**4 + 0*o**4)*(-20*o - 4*o + 10*o) + 4 - 2*o**5 - 4.\nAnswer: 26*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.203 times -0.98166?\nAnswer: 1.18093698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231308 is divided by 720.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:32 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/2507 + 102815\/35098. Find the common denominator of z and -53\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + (-523)\/(-3). Suppose -41*w + 11*w = -3660. Let a = u - w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30674670 divided by 10224890?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1273, -2518, -3771, -5032, -6301, -7578, -8863?\nAnswer: -10156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(148\/333*(-51)\/(-4))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - (-238)\/(-5). Let a be (1284\/2889)\/((-1)\/9). Sort 2, a, b in descending order.\nAnswer: 2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 c when four letters picked without replacement from qqbqhoqhcbqpqhb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4959, 4960, 4961?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003675 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6910885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90486 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2822914 and 1613886.\nAnswer: 5546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*k - 2 + (-3 + 1 + 0)*(9*k + 5*k - 5*k) - 67 - 92*k + 67 to the form t*k + l and give t.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 73. What is the smallest common multiple of b and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567\/238 - (-16)\/136.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 - 2*g**2 + 3*g - 1. Let h be r(1). Suppose -2458 = -3*d - 4*i, -h*d + i + 3*i + 4118 = 0. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -35, -48, -59, -68?\n\"Answer: d**2 - 18*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 - y**2 + y + 1. Let d be b(-1). Let a = d - -38\/5. Let u = -42513 - -42510. What is the closest to a in 0, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6765\/330 + -2 + -13 + 5?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/((-2)\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2. Let c(i) = -i**2 + i. Let p(b) = -5*b**2 + 4*b. Let s(h) = -4*c(h) + p(h). What is j(s(g))?\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let d = 4 + -12. Let p = 9 + d. Let x be ((3\/p)\/(-3))\/(-1). Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 15*w**2 + 4*w + 29. Let i(u) = 3*u**2 - 39*u + 10. Let r be i(6). Let d = r - -100. What is the hundreds digit of c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 3. Let g(y) = 4*y**3 + 10*y**2 + 10. What is 7*f(u) - 2*g(u)?\nAnswer: -u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.46467312 - -0.446259. Let m = -1.01841322 - y. Let w = -1 - m. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14425.3 and -36.9.\nAnswer: -532293.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*r - 16085 = 0, -2*x = -7*x + 4*r + 26870. Suppose -11*u + x + 361 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h**2 - 921 + 4*h**3 + 921)*(-5*h**2 + 2*h**2 + 5*h**2).\nAnswer: 8*h**5 - 54*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 7.3561?\nAnswer: -7.9561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 3447\nAnswer: -19\/3447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 1808 - 1486 = -91*v + 74*v for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 79 - 127 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7930?\nAnswer: 2, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 875250.4 millilitres in litres?\nAnswer: 875.2504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 579798*d - 28013810067.\nAnswer: -3*(d + 96633)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 14*q + 39. Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 3, t: 1, z: 1}. Give prob of sequence kk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*n = 35, 36*z - 34*z - 3*n - 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.8, -51\/2, -1\/2, 0.2 in increasing order.\nAnswer: -51\/2, -3\/4, -1\/2, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1488 + 120. Suppose -266 = -11*j - y. Let b = j + 130. What is the greatest common factor of b and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 22*t - 17*t = -125, 5*p - 139 = -2*t. Suppose -4*i - 20 = 0, i = 31*w - p*w - 17. Which is the third biggest value? (a) 2 (b) 66 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5690444 is divided by 245?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246 + 132. Let i = s + 130. Solve -r + 3*r = 2*y + 6, 4*r - 2*y - i = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6*t - 5*t + 9 in the form h*t + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3933.07 to the nearest 10.\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*l. Let t = 40 + -37. What is the lowest common multiple of l and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26040\/(-50))\/42 + 13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161956 and 121467.\nAnswer: 485868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 2044495577*g**2 + 3*g - 2044495581*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -471 - -613. Calculate the remainder when 158 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.109 + -8.209. Which is the closest to -1? (a) y (b) -2\/3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*h + 46. Suppose -4*y = -r - 94, 17*r + 107 = 5*y + 14*r. Is h < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6541 + -ca?\nAnswer: -663b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/522 and -4 - 219\/1392 - (35 + -39)?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z + 20 = -44*z + 5*n, z = 5*n - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544 and 2176?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 2*t)*(-3*t**2 - 4*t**2 - 10 + 13).\nAnswer: 7*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74013.28 millilitres in litres?\nAnswer: 74.01328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 523422896 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 - 16*y**2 + 57*y**2 + 26*y**2 - 6*y**2.\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 + 216. Suppose -5*l - z = -12. Let 45\/2*i**l + 25\/2*i**3 - 5 - 35\/2*i**4 - 25\/2*i = 0. Calculate i.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-25 - (-122 + 126))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s + 125948 = 15128. Let g = -785 - s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(1\/4)\/r)))**13)**(-1\/10) assuming r is positive.\nAnswer: r**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = 10. Suppose -3*k - 2*k = -v. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314133314 (base 6) to base 16\nAnswer: 54320e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1*(8 + -7). Let f(u) = 2*u + 5. Let o(g) = -g - 3. Determine j*f(p) + 5*o(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -348a69?\nAnswer: 348a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 - (-4 + -1 + 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677791 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 4*c**3 - 37999. Let p(z) be the first derivative of 7*z**2 + 1. Calculate p(a(o)).\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-20)\/(((i**(-1\/3)\/i)\/i)\/i)**(3\/19))\/(i**(-2\/5)\/(i\/((i*i**5\/i)\/i)))**(-6\/17) assuming i is positive.\nAnswer: i**(2332\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/8 (c) -0.2 (d) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n. Let z(i) = -i**3 - 2*i**2 + 9*i + 3. Let u(q) = -5*o(q) + z(q). Give u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, x: 1, q: 2}. What is prob of sequence qxw?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 22122222111?\nAnswer: 22122222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppwwkkkwwwp. What is prob of picking 2 p and 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1011110111110010100101 (base 2) to base 14\nAnswer: 5b020d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -365, -367, -369, -371?\n\"Answer: -2*b - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -26\/11, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4490 + 12123. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -157, -158?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451584 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1 + sqrt(117))*1 + -2*sqrt(117)*-5)\/(sqrt(81)\/(2*sqrt(900) - sqrt(900)))*6.\nAnswer: 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -115 (b) 0 (c) 1\/6 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/3, -0.2, 62\/107, 1\/3, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15670 divided by 1588?\nAnswer: -7835\/794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 95 = 5*x, -253667602*h - 95 = -253667603*h + 5*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*m**2 + 0*m - 4\/9*m**3 + 0.\nAnswer: -4*m**2*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y + 12. Let k(z) = 9*z + 11. Let x(v) = -4*k(v) + 3*p(v). What is the tens digit of x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/48)\/(161048\/3157 + -51) and -89\/540.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9204.3 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10203\/(-38))\/((-2)\/(-4)). Let z = -241 - n. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.058 and -558502.\nAnswer: 32393.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12413?\nAnswer: 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -2*c + 16, -5*f = 4*c - 37. Suppose c*g - 11 = 4*u, -2*g + 5*u + 6 = -6. Let m(n) = 5*n**2 + 2*n - 1. Give m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 28, 49, 84, 139, 220, 333?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.9+-389717\nAnswer: -389718.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/8 - 33*x**2\/8 + 30*x = 0.\nAnswer: -16, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**3\/2 - 22*s. Let d(l) = -2*l + 9*l - 9*l. Calculate c(d(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3964? (a) 1 (b) -2 (c) 4 (d) -10 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 24*f**2 + 3*f - 74. What is t(24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruzzszzzzrzufzt. Give prob of picking 1 s and 1 f.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8035902, 8035912, 8035922?\nAnswer: 8035932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**5*y**3 + 2127*f**5 + 1192*f**2*y**3 + 10*y**3 wrt f.\nAnswer: -480*f**2*y**3 + 127620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 7065?\nAnswer: 7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/40*2*12*(-13)\/26.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*a**3*n + 580*a**3 + 8*n wrt n.\nAnswer: -116*a**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 10*t**2 + 5*t + 10.\nAnswer: -5*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose k - v*k = -10. Solve -2*t = -h - 8, -5*h + 4*t = 9*t + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (112 + -125 - (-14 + -2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.5, -20, -0.4, -3\/4, -1\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1212 - 1155. Round r to the nearest integer.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - -3.5952. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2381325792 less than -3?\nAnswer: 2381325789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Suppose 3*q = -0*q + 6. Let d(x) be the first derivative of -x**3 - 2*x**2 - 3 + 2*x**q. What is f(d(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*d + 129*d + 152*d - 193 - 10*d with respect to d.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -88 (b) 2\/17 (c) -2.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 2 = 11*q - 2*u, -q + 19 = -5*u. Solve -k = 4*t + k + 4, q*t + 4 = 5*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.7091106 + 127.7091. Let h = 18.2 + -93.2. Let s = h + j. Round s to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*j**3 - 21 + 21 + 321*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14431, -6, 3 in increasing order.\nAnswer: -14431, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 + 0.5. Let g(v) = -v**2 - 19*v + 5. Let c be g(-19). What is the closest to -0.1 in c, o, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*n + 6, -4*h - 2*n + 4 = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251442 (base 11) to base 12.\nAnswer: -171a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870017742.\nAnswer: 2, 3, 11, 4394029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + 2*sqrt(132))*4 - 1*((sqrt(132) - (sqrt(132)*3 - sqrt(132)) - sqrt(132)) + sqrt(132)))\/((-1*sqrt(132)*2)\/(4*sqrt(11)*-2)).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 2 = 0. Suppose 5*f - 12 = h*f. Calculate the remainder when 6 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.06 + 0.06. Is o not equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by 50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2187845*h**3 + 3*h + 2189919.\nAnswer: 13127070*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -23. Let z = x - -12.5. Let o = -2 - -2.2. Put z, 4, o in ascending order.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -204.69 in 2, 1\/8, -3\/5, 8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3208 and 346865.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3534 and 372.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 5 (c) 4 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -23*z + 72. Let o be (-60)\/8*(-4)\/6. Suppose 0 = -o*g - z + 116. Calculate the remainder when 31 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 2. Let d be y(-2). Suppose 0 = -f + d*f - 42. Let k = 6 + f. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let r(y) = 48*y**2 + 8. Let p(d) = 16*d**2 + 3. Let v(t) = 16*p(t) - 6*r(t). Determine c(v(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**2 + 19*i**2 - 36*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*n**3 - 1 + n**2 + 4*n**3 - n**2 + (n + n + 0*n)*(1 - 1 + 2*n**2) in the form w*n + h + s*n**2 + k*n**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14536, -14654, -14774, -14896, -15020, -15146?\n\"Answer: -s**2 - 115*s - 14420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11249.\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1639*i - 10*i**2 + 10*i**2 + 1639*i - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:09 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (11 - (15 - 10)) + (1 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1954208.445 to the nearest 10000.\nAnswer: 1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oedadfmaaaaod. What is prob of sequence dfoo?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40124767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 9*i - 25187, 22*i = -4*g + 20*i + 50262. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 542846811 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -118, -4, 7, 4, -2\/7, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*v - 4*v - 6 - 18*v - 5*v wrt v?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 1 + 9. Let m(f) be the first derivative of -6*f**4 + f**3\/3 + f**2 + f - 1. Is 12 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 723 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 264, 397, 530, 663?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -1\/6*w**4 + 4*w + 3 + 0*w**3 + 0*w**2. Let o(h) = -11*h - 9*h + 7*h. What is t(o(y))?\nAnswer: -338*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:48 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67758 or 28?\nAnswer: 67758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 20. Suppose 0 = -101*g + 112*g - 44. What is the second derivative of -z - 14*q + 9*q**2 + g*q**2 + 16 wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -2 + -13 + 31 + -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 471, 491, 513, 537?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 421, 403, 367, 307, 217, 91, -77, -293?\n\"Answer: -i**3 - 3*i**2 - 2*i + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*g = u + 10, 4*u - 3*g = 1. Let l(z) = -40*z + 128. Find the common denominator of l(u) and -107\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-13)\/10)*(159\/36 - 4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 5*h**2 + 3*h - 11. Let r be z(5). Let p be 1361\/(-2)*-2 - 0. Suppose w = -g + p, w = -g - r*w + 1361. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by -66.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -5*s**8\/21 + 16*s**7\/21 + s**6\/8 - 13*s**5\/24 + 5*s**4\/24 + 39*s**2. Determine z, given that x(z) = 0.\nAnswer: -1\/2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.8 less than 1\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2 - j - 1. Let r be h(-1). Let m = 4 + r. Suppose 3*l + l = -4*d + 4, 2 = -d - m*l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535246 divided by -194.\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 133*x + 0 + 6 to the form i*x + b and give i.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 27 = -2*v, 2*d + 32 = -3*v + 5*v. Let j = -11 + 13. What are the prime factors of v\/12*j*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2441*u + 2417*u = -432 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - -4*(sqrt(1500) - sqrt(60)))\/(-2*sqrt(12)*2))**2.\nAnswer: 1445\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Let w(l) = -l**2 - 5*l + 6. Let x be w(-6). Suppose -2*i + x + 12 = 0. Let d(k) = k - 3. Let f(t) = -t + 4. Calculate i*d(y) + n*f(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**2 - 13*f - 47. Is r(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90\/34763 or -1?\nAnswer: 90\/34763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-7 - (0 - (3 - 1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (0 + sqrt(1216))**2 + (sqrt(2736)*4)**2.\nAnswer: sqrt(19) + 44992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 10*o\/3 - 4.\nAnswer: 2*(o - 6)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-12)*(-2 - (-13)\/104)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2\/4 + 5465*k\/4 - 505525 = 0.\nAnswer: -1385, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 1814*n**5\/5 + 79*n**3\/3 + 2039. Find the third derivative of l(o) wrt o.\nAnswer: 43536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 + 3*j + 1. Let z be v(-2). Let w = 7 - z. Suppose 4 = 2*p, 0 = -g - p + w*p - 4. Solve -g*n - n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 3*d**2 - 3*d + 1. Suppose -z - 3*z = -28. Let g(j) = -j**3 - 7*j**2 + 7*j - 2. Let y(t) = z*r(t) + 3*g(t). Differentiate y(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = 3*y, -3*y + 5*n + 21 = 50 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -126*x**2. Let b(k) = 1519*k**2. Determine j(b(a)).\nAnswer: -290727486*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/19, 1\/5, 2\/11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -931.\nAnswer: -15\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061893712 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z + 842131344 = -369658656. What is z rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6156 divided by -684?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 389447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2298314 and -0.01.\nAnswer: -22983.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*p**3 - 3\/2*p**4 + 3\/2*p - 9\/2*p**2 + 0.\nAnswer: -3*p*(p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(1331) + -1 - (sqrt(1331) - (-5 + (sqrt(1331) - (sqrt(1331)*2 + sqrt(1331))) + sqrt(1331)))) + 3 + (1 + sqrt(1331) + 4)*-6)**2.\nAnswer: 4928*sqrt(11) + 66243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*a + 2 + 2, -5*d + 20 = 0. Solve 5*k - 17 + 5 = a*n, -4*k + 12 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 - 2)\/3)\/(1\/(-2)). Let w be 4\/3 - (y + (-70)\/15). Solve w*h + 1 = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658.095 times 3?\nAnswer: -1974.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 669465 and 267786.\nAnswer: 1338930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/120 - 3*f**5\/20 + 5*f**4\/12 + f**3\/3 - 3*f**2 - 3. Let j be p(-10). Solve 4*w - 1 = -5*l - 3, 5*w = -4*l + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235416400 rounded to the nearest 1000000?\nAnswer: -235000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045042385 to five decimal places.\nAnswer: -0.04504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 1045798102?\nAnswer: -1045798108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 8*d - 7. Let c = -364 - -365. Let k be w(c). Solve 0 = 3*s + k*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.5 - 5. Let b be 26708\/(-308) + (-3)\/(21\/2). Let i = 433\/5 + b. What is the nearest to -2 in t, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-564))\/((-194)\/(-4365)). Which is the third smallest value? (a) 0.3 (b) z (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -140\/11? (a) -14 (b) -0.1 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 808*q - 11333. Determine k(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**5 - 28*b**5 - 19*b**5 + (-2*b**2 - 3*b**2 + 4*b**2)*(-6*b**3 + 5*b**3 - 3*b**3).\nAnswer: -27*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 196. Suppose a*j = 209*j - 10. Solve j*w = -16 + 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308 is divided by 1757.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -51980?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.813793 times 2?\nAnswer: 1213.627586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (-1468)\/(1\/(-154)*7)?\nAnswer: 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 13*a**2 + 7*a. Let h(n) = -n**3 - 7*n**2 + 4*n. Give 4*f(d) - 7*h(d).\nAnswer: -d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 7:57 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10*q + 25 = 0, l = -5*q. Suppose 18*v + 25501 = l*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 60*a = 55*a - 60, -2*s - 2*a - 1 + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 324014 + -3?\nAnswer: 324011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4766, 9552, 14338, 19124?\nAnswer: 23910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.102 + -0.002. Do 76 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2333 - 186?\nAnswer: 217a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.05, -1, 79.6, -1\/5 in decreasing order.\nAnswer: 79.6, -0.05, -1\/5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305806 and 8774?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*g**3 - 61*g**3 - 18*g**3 + 130*g**2 + 65*g**2 - 21*g**2 - 48*g + 15*g**4.\nAnswer: 3*g*(g - 8)*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.08 and -0.3?\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 1613.\nAnswer: -39\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.6, 4.2, 2\/23, 5, -19\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -243 - 133. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -3*h**3 - 13*h**2\/2 - 13*h - 3. Let u(w) = -2*w**2 - 3*w - 3. Let m = -20 + 26. Give m*n(l) - 26*u(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {a: 5, p: 1, j: 1, u: 2, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -182, -285, -404, -545, -714, -917?\n\"Answer: -g**3 + g**2 - 89*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9*m + 160 = 0. Calculate the lowest common multiple of m and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 7*u - 26*u)*(17 - 7 - 2)*(0 + 3 - 2) + (-6 + 1 - 1)*(1 + 2*u - 1) as g + y*u and give y.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:46 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 + 2*h + 1. Determine l(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iill when four letters picked without replacement from {i: 3, d: 9, l: 4}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 5*x**2 - 6*x + 3. Let a be b(-5). Let y be a\/28 + 2\/7. Is y at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25092 is divided by 100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*h + 2 = 0, -473*b - 1 = -472*b - 2*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379.96 - -380.1. Let k = 0 + -3. Is t bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 41*y - 2739 = 9*y - 714 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(12\/14) - (-2 + 2 - 3). Which is the closest to -0.6? (a) -0.1 (b) -0.2 (c) -3\/2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, r: 1, d: 5, b: 3}. What is prob of sequence rwbd?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68362422.023 from -0.371.\nAnswer: -68362422.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81005702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17718468 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6804)\/105*455\/546?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.3 (c) -0.15 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 129 and 3798925.\nAnswer: 3799054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-2\/9)*q**4*q**(-2)*q**(-4)*q**0\/q*q**2*q**(2\/3) assuming q is positive.\nAnswer: q**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471867 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -6*o**2 + 4*o + 78. Let s(a) = a - 1. Calculate -6*s(c) - u(c).\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3\/8, -8, 44\/5, -1\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 4*v - 5*p - 162, 0 = v - 3*p - 109. Which is greater: v or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n + 2*n**3 + 2*n**3 + 38*n - 80*n.\nAnswer: 4*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - 3) + 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9, -4.\nAnswer: -18, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 12) to base 16\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 39, 9, -45, -129?\n\"Answer: -s**3 - 3*s**2 + 4*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19606 rounded to 3 dps?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27319, 27316, 27311, 27304, 27295?\nAnswer: 27284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*d = -3313 + 85488. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 355 and 3427312?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 66794.57, -3, -1\/6, 0 in decreasing order.\nAnswer: 66794.57, 0, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 559618, 1119232, 1678846, 2238460?\n\"Answer: 559614*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 28665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) 0.31 (d) 2\/9 (e) -12815\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200021024 + 1342?\nAnswer: 200022421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12*m. Let g(o) = -2*o**2 - 40*o - 158. Let l(f) = -2*f**2 - 48*f - 153. Let n(i) = -6*g(i) + 5*l(i). Determine d(n(q)).\nAnswer: -24*q**2 - 2196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xllx when four letters picked without replacement from xxovxll.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60))\/sqrt(3).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 8*k + 3. Let w be q(7). Suppose 3*n + 105 = -2*n. Let y = w - n. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*y**2 + 45*y**2 + 2.\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, 1 w, and 1 e when four letters picked without replacement from {u: 1, w: 4, e: 3, p: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2534 (b) -4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 3 + 2277*c**4 - 2278*c**4 + 3 = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:13 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 23. Let n = 82 - 95. Let v be h(n). Let a(k) = k**2 - 15*k - 3. Let b be a(15). What is the smallest value in -5, -5\/3, b, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001279495 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 - 2*f**2 - 4*f + 13. What is x(3)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/774350 and 97\/3644?\nAnswer: 1548700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4575 divided by 136.\nAnswer: 4575\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -265, -412, -569, -736?\n\"Answer: -5*m**2 - 122*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + y - 5*y**2 + y**3 - 5*y**2. Determine r(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 55154368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, -31, -328 in descending order.\nAnswer: -31, -328, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 5*z - 8 = 0. Solve -b - 8 = -2*c, z*c = 4*b + 3 - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 2)*20\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2ca5?\nAnswer: -2ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 24*p**2 + 16*p - 76. Calculate the remainder when u(-23) is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 77088 - 177264 = 0. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30687 divided by 1.\nAnswer: -30687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119, 143, 193, 281, 419, 619, 893?\n\"Answer: 2*v**3 + v**2 + 7*v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 0*t**3 - 5*t**3 + (-2 - 2*t + 2)*(764*t**2 + 2803645 - 2803645).\nAnswer: -1530*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285403 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m. Let g(i) be the second derivative of i**2 + 3*i. Let l(x) = -x**2 - 7. Let n(j) = -7*g(j) - 2*l(j). Calculate n(w(u)).\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 14*f**2 - 15*f + 5. Let m be b(15). Let q(p) = 4*p**2 - 5*p - 10. Is q(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - 2*p)*(-2*p - 1 + 1 - 2*p + 5*p - 5*p - 4*p + 0*p + 5*p + 3*p + 2*p - 4*p + (1 - 3 + 0)*(-p - 1 + 1) - 3*p + 4*p + 0*p - 5*p + 5*p - 7*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 2\/13 (c) 2\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*p**3\/9 + 7208*p**2\/3 + 138230*p + 52900\/9.\nAnswer: 2*(p + 115)**2*(47*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - v - 1706 = v, -2*r - v + 1700 = 0. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21542311412 - 3?\nAnswer: 21542311406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 8. Let y(j) = j**2 - 9*j + 4. Let q be y(8). Let u be (-2)\/q*(-10 + -2). Let x = -4 - u. Let l(b) = -1. What is x*p(r) + 14*l(r)?\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87496*w**2 - 7*w - 7936?\nAnswer: 174992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*o + 42, -o - 18 = -2*o - 5*l. Let v be ((-4)\/(-70))\/(o\/(-80)). Suppose -2*p = -0*p. Is v not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14512 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*l - 832 + 456, 0 = l - 7*n - 120 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*o - 237 + 230, 8 = -2*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 21*n**2. Let q(u) = -2*u + 141 - 141. What is t(q(f))?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.863 + 6.863. Is b bigger than -3.498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 73055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-15))\/(12\/(-10)))\/(12544\/4704)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.3 - 25.4. Which is the nearest to f? (a) 4 (b) 3\/7 (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 73.8*-8\nAnswer: -590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = k + k. Suppose -2*h = -5*h + 45. Calculate the remainder when k is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-5 + 4 + sqrt(325) - sqrt(325) - sqrt(325) - -2*((sqrt(325) - (sqrt(325) - sqrt(325)*-6)) + sqrt(325)))**2 + 3.\nAnswer: -640*sqrt(13) + 83219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -7*j + 2*j + 65, 55 = 4*j + 3*g. Let d = -6 + j. Solve -4*n + x + 7 = -n, -d*n = -5*x + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32120.27ug?\nAnswer: 32120270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, c: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16050 divided by 3210.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 - -6.2984\nAnswer: 6.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12689 is divided by 88.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8803 less than or equal to 1.506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 6:02 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -783426.\nAnswer: -21152502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590.0025g to kilograms.\nAnswer: 0.5900025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 3*z - 1347 + 1327, -2*z + 60 = -10*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 141\/2. Suppose 5*m + 3 = 23. Which is the second smallest value? (a) m (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*b + 105*b + 5, -b = -3*o + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41692829 to the power of 1\/2, to the nearest integer?\nAnswer: 6457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -19, -21, -3, 41, 117, 231, 389?\n\"Answer: i**3 + i**2 - 26*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r. Let m(q) = q + 1. Let l(u) = -b(u) - 4*m(u). Suppose -24 = -4*w - 8. Let s be l(w). What is the third smallest value in 0.1, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3992)\/360 + (5\/(-120))\/((-84)\/(-224)) and 3\/(-6)*(-77)\/(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113*b - 222*b - 265*b)*(5 - 3 - 3) - 11 + 13 + 4*b - 3*b to the form v*b + t and give v.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*u**2 + 163*u - 73*u**2 - 99*u**2 - 112*u**2 - 46*u wrt u.\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877860 is divided by 51625?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/7 > 1862982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*u - p, 6 = 2*u - p - 9. Let h = u + -14. Let c = h + 7. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 23*x + 67. Let v be n(16). Let h = -43 - v. Factor -6 - 2\/9*s**3 - 2*s**h - 6*s.\nAnswer: -2*(s + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11510712901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 + 2*t + 2. Let y(q) = -703*q**3 - 2*q**2 + 3*q + 4. Calculate -2*d(l) + y(l).\nAnswer: -705*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p + 4. What is the remainder when 50 is divided by b(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-104)\/(-13) - (1 - -1). Suppose 5*t = -s*w + w + 15, -w - 2*t + 2 = 0. Calculate the remainder when 27 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6\/o)\/(o**(2\/5)*o))\/(o**(-3\/2)\/o**(1\/4)) assuming o is positive.\nAnswer: o**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2848 = -p, -p + 12 = 14. What is the greatest common divisor of g and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14048 + -3 + 0 + (18 - 12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106)*1*4)\/(2*sqrt(128)*1).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.881 + 2.76. Round p to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3481*t**2\/6 - 2242*t\/3 - 722\/3.\nAnswer: -(59*t + 38)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*f + 31 = 0, -5*v + 72 = -2*f - 0*f. Let l(k) = -14 - k + v. Let y(u) = u - 3*u - 2*u. What is y(l(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22911, -22906, -22897, -22884?\n\"Answer: 2*r**2 - r - 22912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 + 2*o - 18. Let r be t(3). Suppose y = -2*y + 1656. Suppose -4*w + y = 4*s + 132, -5*s + r = 0. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1004 divided by -4303.\nAnswer: 1004\/4303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*27\/(-24)*25\/((-1050)\/28)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -6725\/6, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from llulcccu?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -7 - (-6 - -9) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(500)*4))\/(sqrt(56)\/(-3*sqrt(8)) - -4*1*sqrt(7)).\nAnswer: 3*sqrt(3)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145403*n + 18021*n + 24236*n - 156402*n.\nAnswer: -259548*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 3, d: 3, z: 3}. Give prob of picking 3 z and 1 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113ac (base 15) in base 12?\nAnswer: 333230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.024 in -0.3, -4, 1, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, 0, 56, 150, 294?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1708 and 9732?\nAnswer: 4155564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*m, -2*a - 14 = -5*m - 4*a. Sort m, 12, -2, -3 in ascending order.\nAnswer: -3, -2, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 901*q - 2. Let s(a) = -3*a. Give s(r(c)).\nAnswer: -2703*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h. Suppose -a + 5*a = -3*n + 151, -a = -5*n - 55. Suppose 2*y - 7*y + a = 0. Solve h*v - 4*v = -y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50093007?\nAnswer: 3, 16697669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 47 (b) 2 (c) 0.06 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m - 2*u, 2*m + 3*u = 8*u - 25. What is the nearest to 2\/7 in 0.2, m, 0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1433\/9 + 159. Put -1, -2\/11, h in ascending order.\nAnswer: -1, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 161 - 161\/4*b**2 - 1\/4*b**3 + b = 0.\nAnswer: -161, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 912*t + 21 + 24 - 64.\nAnswer: 912*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.39 and 0.44.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c. Suppose 2*i = 4*l + 40, 0 = -121*l + 126*l + i + 43. Calculate k(l).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 + 2\/3*u + 1\/6*u**5 + u**4 + 13\/6*u**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2166 less than -16258?\nAnswer: -14092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 82, 122, 162, 202, 242?\n\"Answer: 40*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from 57283894147.\nAnswer: 57283894147.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0785837663 rounded to six dps?\nAnswer: 0.078584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-980)\/756)\/(-7))\/((-525)\/(-30)).\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -3 - (125 - 177).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 403985 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430209 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 d be 0\/2 + 0\/(-2). Let m(a) = 2*a. Let x be m(1). Solve o - x*o - 3 = d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2860 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -138. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689325.7 take away -120439?\nAnswer: -1568886.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 70 - 47 = 0. Solve -2*w - 18 = 3*r, w = -r - 4*r - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c. Suppose c*p + 5*p = -v + 243, -5*p + 241 = 2*v. Suppose -g + 4*l + p = 0, 4*g = 4*l + 216 - 56. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 3*f**3 - f**3 + (101 - 12 + 14)*(-18*f**3 + 17*f**2 - 17*f**2).\nAnswer: -1852*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66623 - 39134. What are the prime factors of i?\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/2*2\/2*33\/(3795\/46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/33*(-423)\/(-705).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.5556426 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -615, -614, -611, -606, -599, -590, -579?\n\"Answer: n**2 - 2*n - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 times -15?\nAnswer: -4875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 4\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12*21120\/(-233200))\/((-2)\/((-4)\/(-6))).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538\/7041 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1290\/2 + -8 + 7 + 2. Suppose 0 = -5*c + 2681 - y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x**2 - 89*x - 8. Let i(q) = -108*q**2 - 349*q - 32. Let g(r) = -3*i(r) + 13*o(r). Let g(w) = 0. What is w?\nAnswer: -4, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*m - 1440 + 352 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 10:17 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + n**2)*(-n**3 + 0*n**3 + 0*n**3) + (-9*n + 2*n + 4*n)*(-3 + 3 + 2*n**4).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2206 = -48*h + 50*h, -4436 = -4*h + 2*m. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/((-80)\/(-388)))\/(4 + (-772744)\/193184) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (10\/25 - (-39)\/(-15)). Which is the closest to -1\/3? (a) 2 (b) -0.08 (c) v (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -152\/3. Let o = -743\/7 - -105. What is the nearest to o in 4, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 + 499505670*o - 12475295718107445 = 0.\nAnswer: 49950567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: e59 (base 16) to base 2\nAnswer: 111001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*a - 12 = -432*a. Solve a = 6*n - 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*l**4 - 2*l**3 + 519*l + 1179133 wrt l?\nAnswer: 192*l**3 - 6*l**2 + 519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121683029?\nAnswer: 13, 31, 301943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 568, 1018, 1454, 1870, 2260?\n\"Answer: -c**3 - c**2 + 460*c + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:31 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 9, -1537, -2, -3, 2 in descending order.\nAnswer: 9, 7, 2, -2, -3, -1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, -0.6, -9, -111, -27, 13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4879.\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + c = 29, 0 = -2*h + 6604*c - 6601*c - 8 - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 40*b + 80 = 0. Which is smaller: 27 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63003 is divided by 20987.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8\/9, 5 in descending order.\nAnswer: 5, 3, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 14*y + 4 = 13*y, 106 = -11*s + 4*y for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -67*c**2 + 69. Let q(s) = 70*s**2 + s - 69. Let u(v) = -3*o(v) - 2*q(v). Differentiate u(k) with respect to k.\nAnswer: 122*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 139?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15085882 + 6012874 = -393*i + 2871809. What is i rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 87?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.63 - 2.63. Which is the second smallest value? (a) 1 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*k*r**5 + k*r**3 + 177*k*r wrt r.\nAnswer: 700*k*r**3 + 6*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(4\/3))\/g*g**(-5))\/(g**(-1))**(-30))\/((g*g**(-2\/3)*g**(5\/2)\/g)\/(g**(-2\/5)\/g)**(-37)) assuming g is positive.\nAnswer: g**(409\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w + 7. Let f be s(0). Let l = 6 + f. Let g = 292 + -149. Calculate the greatest common factor of g and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 30352?\nAnswer: -30311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/700672 and -139\/240?\nAnswer: 10510080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36236 - -5462?\nAnswer: -30444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13749 + -131?\nAnswer: 13618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 1. Let b = 13 - 12. Suppose -4*r - 2*j = b - 3, 3 = j. Let o = 6 + -9. Let w(m) = 2*m**2 - 5. Give o*z(n) + r*w(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 65*a - 201*a - 60*a.\nAnswer: -291*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 3*b**5 + 3*b**5 + (26 - 26 + 3*b**3)*(-4 + 4 - 2*b**2) + b**3 - 14*b**5 - 26*b**2 - 24*b**2 + 55*b**2.\nAnswer: -22*b**5 + b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1165 + -14?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(17) - (sqrt(17) + sqrt(17) + -2)**2) + sqrt(17)*2 + -1)*1 - (3 + sqrt(1377)*-2 + 2*(sqrt(1377) + -1)).\nAnswer: -69 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/((-364)\/1456). Solve -3*d - d - 15 = -3*u, 5*u + z = -5*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 35 - (2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaaaoooaaaooaoaa. What is prob of picking 1 r and 2 a?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-294)*21*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 84*o + 889. Give k(72).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 109*h**6\/120 - 11*h**3\/3 - 8*h**2. What is the derivative of t(c) wrt c?\nAnswer: 327*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4005118760?\nAnswer: 2, 5, 100127969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 85. Let s = 125\/3 + g. Is s at most as big as -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -275*v**2 - 4720*v - 23825. Let z(a) = a**3 - 275*a**2 - 4721*a - 23829. Let f(u) = 6*c(u) - 5*z(u). Factor f(g).\nAnswer: -5*(g + 9)*(g + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10403*d + 1125. Is r(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12120 and 1380.\nAnswer: 278760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 192*h + 34 + 0*h - 68.\nAnswer: -192*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*g - 23. Let y be -1*16*(-3)\/2. Let z be (-2)\/g - (-92)\/y. Solve 0 = 5*i, 4 = z*r + 4*i + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -12. Solve -5*s + r = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + -2*sqrt(343)*1 + sqrt(343))**2 + 0) + 0.\nAnswer: -2064 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**6\/5 + 8*p**2 + 13*p. Differentiate t(n) wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*r - 4*a, 10 = 5*r - 0*r - a. Suppose 2*t - t = 4*l - 19, -r*l + 14 = -t. Solve -w - 15 = -5*z, -5*w = l*z - 5 + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k**3 - 16*k**2 + 19*k + 4. Let i(d) = 5*d**3 - 5*d**2 + 6*d + 1. Let y(m) = 2*h(m) - 7*i(m). What is the tens digit of y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487 + 70*b**2 - 231 - 256.\nAnswer: 70*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:56 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, i: 3, m: 6, r: 1, l: 2}. Give prob of picking 2 m and 1 i.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22350365?\nAnswer: 5, 19, 23, 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 1\/40*y**4 + 0 + 10*y**2 + 0*y**3 + 3\/100*y**5 + 0*y + 3\/200*y**6 + 1\/350*y**7. Find b such that w(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186748119 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 4*o + 6*o)*(207 - 2636 - 1073) in the form c*o + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344807 is divided by 719.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus -73.882?\nAnswer: 87.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 5*t - 5*u, -u = -5*u - 12. Let j = t + -40. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:27 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.365 - -0.254932.\nAnswer: -15.110068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -29 + 597. Let p(w) = w**3 - 41*w**2 - 44*w + 88. What is the smallest common multiple of p(42) and t?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261082 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.155 * 671800.\nAnswer: -104129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrm when three letters picked without replacement from vmaroor?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) - ((-1362373)\/7230 - -188)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 53.3. Sort 3, -3, n in ascending order.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018, -2055, -3046, -3967, -4794, -5503, -6070?\nAnswer: -6471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 y when three letters picked without replacement from pjydeeyjee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -40. Let a(h) = -4*h + 45. Let f be a(12). Let x(l) = -2*l**2 - 6*l + 4. Let u be x(f). Calculate the highest common divisor of u and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sjsossssssssssss?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2\/11*f**5 + 1472\/11*f - 2\/11*f**4 - 768\/11 + 180\/11*f**3 - 80*f**2 = 0.\nAnswer: -12, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444594494?\nAnswer: 2, 1153, 192799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, b: 8, k: 2, r: 1}. What is prob of picking 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + sqrt(132)*3*6))\/(-2*sqrt(588) + sqrt(588)).\nAnswer: 18*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1319, -4941, -15375, -29983, -48765, -71721?\n\"Answer: -2087*y**2 + y + 3405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5, -2*t + 3*p + 444 = t. What is t rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -11*q + 37, 3986*v - 3982*v + 2 = -5*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.7 and 9149011.\nAnswer: 9148999.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4048*b + 263121. Determine t(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 + 3*o - 8. Let k be l(-6). Solve -p = -3*j + 2*p + 18, 5*j - p - k = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (440\/132)\/((-35)\/(-342)). What is the third biggest value in -0.2, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -350, -348, -346, -344, -342, -340?\n\"Answer: 2*a - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57738487\/17472 - -42960\/13. What is the common denominator of -22\/21 and r?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/d**2)*d*d*d)\/d)\/(d**14\/d) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4522 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/63)\/(2995\/(-16772)*(-14)\/180).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrjhrnmjfmnrfjj. Give prob of sequence rn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584593393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, l: 5, x: 3, c: 3}. What is prob of picking 2 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 136*b - 1143 = 0. What is b?\nAnswer: -127, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)*2\/(-4). Suppose c = 3*h - h - 6. Let a be 2\/(-3) + 10\/6. Calculate the highest common divisor of a and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 + o**2 - 3*o + 1. Let w(n) = 16*n**3 + 204*n**2 + 18*n - 9. Determine -6*s(r) - w(r).\nAnswer: 2*r**3 - 210*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4 + 116424*p**3 + 1129196322*p**2 - 6778321704*p + 10169054523 = 0?\nAnswer: -19407, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*v - 7399 = 2767*v + 81473 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/15 - 4542\/(-10). Let a = t + 525. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/15*6\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yka when three letters picked without replacement from azyjfkz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 433 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by ((14 - 3) + -10)\/((-1)\/(-11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 = -1381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1414*b**2 + 1414*b**2 - 28 + b**3)*(-b + 2*b + b + (2*b + 0 + 0)*(1 + 1 - 1)) in the form z*b**2 + s*b + i + c*b**3 + m*b**4 and give s.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9699 = 629. List the prime factors of o.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, -1 in decreasing order.\nAnswer: 1, -1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -18 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/130 - 251\/1170. Which is the third smallest value? (a) 0.5 (b) -4 (c) x (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8107184*d*p + d - 523509 with respect to p.\nAnswer: -8107184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - u + 1. Let c be s(1). Let z = -10 + c. List the prime factors of (-3)\/(-12) - 67\/z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 621 + -1587. Let o = 1553 + u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273535\/18 - 15202. What is the common denominator of q and ((-555)\/(-100))\/3 - -1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2662) - sqrt(2662)*1 - sqrt(2662)) + sqrt(2662))\/(sqrt(1980)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6*v**3 - 362*a**5*v + 417*a**2*v**2 + 2*a*v**3 wrt a.\nAnswer: 240*a**3*v**3 - 21720*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 230572 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*z - 20*z - 72*z + 18 - 45*z.\nAnswer: -201*z + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 132 = 3*i. Suppose h - 5 + 2 = 0. Suppose 0 = h*j - 0*j - i. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/3*15\/10. Let u be 5\/p - 2\/8. Let w = 492 + -482. Solve 10 = 2*c + 4*k, u = -4*c - 2*k - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*p + 8. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -28 + 23\/12*q**4 - 2*q + 0*q**2 + 0*q**3. Let f(j) = -3*j. What is n(f(a))?\nAnswer: 207*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + -2*sqrt(3)*3)*6.\nAnswer: -36*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 74 + 61 + (3 - 4 - 1)*(-1 + 3 - 1))*(q + 6*q - 2*q)*(3*q**3 - q**3 - q**3) to s*q**4 + l*q**3 + n + v*q**2 + y*q and give s.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -5.11 (c) -2 (d) 0.02 (e) -0.4 (f) 6 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9685 is divided by 255?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:39 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - 35\/6 - (-62)\/(-12). Let y be q - (-1 - 0) - (0 + 2). Sort -0.1, 2, y.\nAnswer: y, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = -75. Let x = 99457\/20 - 4976. Calculate the common denominator of x and (-1)\/t*11*(-3)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2829*r**2 + 46*r - 216. Is y(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31171\/37398 + 1\/6233. What is the second smallest value in 14, y, 1\/6, 4, -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8125282 millennia?\nAnswer: 812.5282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:12 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let g(y) = 1400367*y + 11. Give g(f(k)).\nAnswer: -2800734*k + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjbzjrgxrzr. What is prob of sequence zg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.55. Let h = r + 0.07. Let b = h - -0.08. What is the biggest value in 5, -5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f + 10. Let v be t(0). Let r be (v\/15)\/(4\/(-84)). List the prime factors of r\/6*(-3 - 3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 32. Let n be f(6). Let w(m) = -65*m - 4*m**2 + 3*m**2 + n*m + 8. Determine w(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -3. Suppose x + 2*x - 10 = -i, 3*i = -w*x + 18. Solve 13 = -g + 4*n, -n + 2 = -g + x*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2703820 divided by 540764\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.47 + 4.57. Let m = 4.1 + -0.38. Let p = m - b. What is p rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 189, 2\/9 in increasing order.\nAnswer: 0.2, 2\/9, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/12 + s**3\/6 + 21*s**2. Give g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 186. What is the lowest common multiple of t(-37) and 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 12154*v**2 + 3 + 36028*v**2 + 6*v.\nAnswer: 48182*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-32)*5\/15.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237 or 599?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279579807 and 377?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**(-4\/31)*(t\/(t**8*t)*t)\/(t*t**(-3\/5)*t))\/((t\/t**(-3))**(4\/11))**35 assuming t is positive.\nAnswer: t**(-101342\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156 + (-195990)\/1269)\/((-12)\/45)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 80.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 24\/(-108) + 104280\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2923*k + 69763. Determine u(-24).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-28)\/b)\/b**(2\/27))\/(b\/(b*b**(-2\/33))*b**(-9\/4)) assuming b is positive.\nAnswer: b**(-30751\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 207917 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74648611 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/x**8)\/(x**0\/x*x**(-8))*(x**(-2)\/(x**(-6)*x))**13 assuming x is positive.\nAnswer: x**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46430, -185750, -417950, -743030, -1160990?\n\"Answer: -46440*c**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 40*g**2 - 73*g - 107. Let r be n(38). Suppose 13*j + r*j = 3260. Is j 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 -39091, -39290, -39505, -39742, -40007, -40306?\n\"Answer: -n**3 - 2*n**2 - 186*n - 38902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 4. Let l be (-12)\/(-16) + (-34)\/r. Let y = 213 + -213.5. Which is the nearest to -0.1? (a) l (b) -0.06 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 + 5*u - 5*u.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 9*m - 13*m = -3, 3*v + 2*m - 9 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*m - 19481 + 5391, -5*r + 70438 = -3*m. What are the prime factors of r?\nAnswer: 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*l**2 - 7*l**2 - 21 + 17 wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728237 to the power of 1\/2, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 24. What is the nearest to -0.2 in -7, i, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*v - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*f = 2*f. Suppose -6 = -2*y - l - f*l, l - 4 = 0. What is the closest to 2 in y, 3.2, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 - -450. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 4.74 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.07 - 0.07. Let t = 67 - 27. Suppose 4*o + 4*p - 2*p = 12, 4*o - t = 5*p. Which is the nearest to 1? (a) s (b) o (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 299, 401, 523, 671?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i + 10. Let c be 1 + i + 6 - 0. Suppose 33 = c*m - 12. Solve -4*a = -m*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-24)\/280 + 22\/84. Which is the closest to -1? (a) 2 (b) n (c) -1\/2 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*g = -v - 32, -21 = -v - 3*g. Suppose -3*h - 5*f = -194, -6*f + 2 = -7*f. Calculate the remainder when h is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 39*m**2 + m + 4*m - 7*m. Is 19 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -561 - -305. Let i = f + 255. Is i at most -2\/619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1547*i. Let q(c) = c + 1. Let a(s) = f(s) - 4*q(s). Let n(b) = -b + 1. Let y be n(5). Let t be a(y). Round t to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 18 = -z - 19*x, -62*z + 5*x - 96 = -66*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 788475 times 0.4?\nAnswer: 315390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -770 and 1.2807?\nAnswer: -986.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7110710?\nAnswer: 2, 5, 67, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380744 and 2496.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 18272880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -57024, 0.3, -0.4, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -2.9. Let r = 0 - 0.1. Let q = -0.2 - r. What is the smallest value in 0.4, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 400*m**3 - 484*m**3 + 253*m**3 - 194*m**3 + 17.\nAnswer: -825*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = 0. Suppose 15 = -0*g + 3*g. Let d = g + z. Solve d*o - 15 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/18 and 5\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 + 10*o - 11. Let h be w(9). Let g be h*(-12)\/(-16)*-2. Let f = 10 - g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1239, 1115, 909, 621, 251, -201?\n\"Answer: -41*h**2 - h + 1281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {b: 6, a: 6, v: 1, p: 1, g: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.198 - -0.002. Let l = -132 + 60. Let q be ((-3)\/4)\/(135\/l). What is the closest to q in -1\/3, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(7\/2)\/u)\/u*(u\/(u**(5\/7)*u*u*u*u))\/u*(u*u\/(u\/((u\/(u*u**2*u)*u)\/u)))**(-42))**(-48) assuming u is positive.\nAnswer: u**(-27144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.5. Let j = 5613 - 5615. Which is the nearest to j? (a) -0.3 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.46 - -29. Let f = l + 0.06. Which is the closest to -0.3? (a) 2\/3 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 13*o = -15*o + 6, 0 = -4*m + 2*o + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/9)))**(-10\/3)*(a*a**(-2\/43)\/a)**(-34\/5) assuming a is positive.\nAnswer: a**(-314\/5805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/(-4) - ((-16 - -1) + 93 + -22).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.48 + 0.18. Put k, 0.4, -0.2 in increasing order.\nAnswer: k, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + d**4 - d**4 + (0*d**2 + d**3 + 0*d**2)*(0*d - d - d) - 2*d**4 + 40 - 40 + 4*d.\nAnswer: -5*d**4 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/12 + 6\/(-4) + -2106. Round y to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12697 + -12683. Let m be ((-2016)\/(-54))\/((-2)\/(-6)). Calculate the highest common factor of m and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64087919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*i - 17*i + 26*i + 85*i - 25*i.\nAnswer: 164*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.5673ml to litres.\nAnswer: 0.6515673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*l + 0*l**2 + 56*l**2 + 233*l.\nAnswer: 56*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 2*y**2 - 4*y**2 + 1 + 5*y**2. Let m be h(2). Suppose -x - 3*x = -p + m, -p = -2*x - 3. Solve -4 + 19 = p*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, n: 3, f: 1, j: 4}. Give prob of sequence ztf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-10))\/((-6)\/(-60)*-2). Let j(h) = -h**3 + 4*h**2 - h. Let v be j(3). Solve -a*s = -v*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2\/2 + s - 15. Let k(o) = 3*o - 26. Let v(m) = -k(m) - 4*r(m). Calculate the remainder when v(0) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 439*l**2 + 1315*l - 1. Let s be f(-3). Suppose -3*n + 8 = -2*m - 0, 5*m = -5*n - 20. Solve 0 = -n*z - s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0*a - 1\/30*a**5 + a**2 + 0*a**4 + 0 + 0*a**3. Let k(q) = -32*q - 30*q + 61*q. Give h(k(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:03 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -33*g - 11. Let s = -28 - -25. List the prime factors of o(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -198296.\nAnswer: -59488.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(216\/(-12))*12\/11.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1246471489 + 49\nAnswer: -1246471440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 2\/5, 1\/4, 0.2, 22.2, 1\/8 in decreasing order.\nAnswer: 22.2, 2\/5, 1\/4, 0.2, 1\/8, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1079 divide 102772592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-143) - ((-160)\/26 - -1). Suppose -20 = 2*j + 3*j, s*y = -2*j + 242. What is the highest common divisor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-600)*8*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 3 - 3 - 2*h - h + 2*h - 4 - 2*h + 4 + (4 - 12 - 2)*(3*h - 2*h + 0*h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33187, -132612, -298297, -530242, -828447, -1192912, -1623637?\n\"Answer: -33130*t**2 - 35*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/69 + (-37908)\/2691?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Suppose -8*g = -3*g - 200. Let j = g + b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n - 6*n + n - 2)*(2*n + 2*n - 2*n).\nAnswer: 28*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17169411?\nAnswer: 3, 7, 409, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104086606 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 634807\/420840 - 1\/10521. Calculate the common denominator of ((-7)\/((-945)\/(-10)))\/((-32)\/(-366)) and v.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/2 - 85277*v**2\/2 + 85279*v = 0. What is v?\nAnswer: -85279, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -6130.86164?\nAnswer: -6130.76164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v. Let b(d) be the first derivative of 0*d**2 + 6*d - 9 + 5\/12*d**4 + 0*d**3. Let r(w) be the first derivative of b(w). Give n(r(g)).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - (-53 + -2)) + -54.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 5*h + 192. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, -1\/10, -31, -2 in decreasing order.\nAnswer: 3, 0.4, -1\/10, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-424888.\nAnswer: 2124440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 - 17*z**4\/12 + 39*z**3\/2 + 4*z**2 + 2*z. Find the first derivative of a(v) wrt v.\nAnswer: 2*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 12. Let x(m) = m**2 - 1. Let q(b) = -a(b) + 6*x(b). Let i be q(-3). Calculate the common denominator of -89\/2 and 12435\/450 - 2\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17464, 17378, 17294, 17212, 17132, 17054?\n\"Answer: j**2 - 89*j + 17552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19410000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6733, -13285, -19593, -25603, -31261, -36513, -41305?\nAnswer: -45583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 44, 78, 132, 212, 324, 474, 668?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.67 + -4.67. What is the nearest to -0.1 in 0.3, o, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 31*w**2 - 17797*w - 309690. What is v(591)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (357\/51)\/(1\/(-1))*-11.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -781*u + 1834*u - 560*u - 893*u to the form d*u + w and give d.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-160650)\/(-1890)*(0 - -1). Let d(k) = k**3 - 4*k**2 + 2*k. Let w be d(6). Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -705 - -1460. List the prime factors of r.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.1 + 2.1. Let n = 10.92 + l. Let h = 0.08014 + n. Round h to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(4 + (-22)\/6). What is the first derivative of -50*j**4 - 7 + 1 + 40*j**z wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12753979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:02 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*f - 68*f = 0. Is -70\/47 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 22*o - 22*o - o**2 + 3*o**2 - 3*o**2 + (-2 + 2 + o)*(2*o + 1 - 1) + (336*o - 27 - 667*o + 332*o)*(o + 2 - 2)*(-3 + 3 - 2).\nAnswer: -3*o**2 + 54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -19*y - 32. Is m(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16062, -32126, -48190, -64254?\nAnswer: -80318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*g - 62*g + 91*g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 37. Suppose -h + l*h = z - 26, -2*z = 2*h - 22. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97406730.\nAnswer: 2, 3, 5, 19, 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15*v + 5 = 0, 20*v = -4*x + 23*v + 20. Solve x*u - 3*t = 6*u + 7, -3*u = -5*t - 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255306818 take away 0.05521?\nAnswer: 255306817.94479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -634*j + 3820. What is b(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -85, 5, -6, 8, 0.\nAnswer: -85, -9, -6, 0, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156156 and 10816?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + i + 4*i = -12, a + 4*i = 8. Let y = a - -7. What is the closest to y in 1\/6, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -562369 equal to -562371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/(-6))\/((-2)\/6). Let r = 16 - w. Let h be (-1)\/r - (-21)\/5. Solve -h*x - 16 = -4*k, -3*x + 3*k + 2*k = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142260 plus 0.62?\nAnswer: -142259.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -436651 and 2858834.\nAnswer: 2422183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 261675697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**3 + 18*c**2 - 197*c - 96. Determine v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d21 - -47?\nAnswer: 3d68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1191 + 1200 - 2391 + 1051*r in the form y + x*r and give x.\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 62*c**2 - 294*c + 58. What is i(-5)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*y + 6, 4*y - 14 - 12 = -3*q. What is the remainder when q is divided by ((-14)\/1)\/(1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 84*d + 149. Let b(o) = 212*o + 372. Let c(m) = 7*b(m) - 18*k(m). Give c(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(0 - 2 + 0)*(1 + 1 - 1)*(0*m - 2*m + 8*m).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/723 and 143\/30.\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5360686 rounded to 2 decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/4*120\/25. Let g(k) = 3*k + 1. Let m be g(0). Sort m, u, 4 in decreasing order.\nAnswer: u, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16334 and -1845736\/113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8 + v**3 - 3*v + 11*v**2 - 3*v**2 + 2*v. Let q be u(-8). Solve 2*x = -q*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6080 and 13120?\nAnswer: 249280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - (-7 - (0 + -5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*o + 15 = 0, -4*m - 2*o + 693 = 711 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/130*28\/8.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -25 (c) -3 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 4*b + b)*(3 - 127671*b**2 + 127496*b**2 + b**3 - 1) to the form q*b**4 + u*b**2 + a*b + k*b**3 + n and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25013 + 25016. Let y be (0\/(-2))\/(2*-1). Suppose 15 = -y*v + 5*v. Solve v*b = w + 7, 2*b - b = z*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/830 and 46\/3895.\nAnswer: 646570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 9*d**2 - 7*d + 8. Let z be x(-8). Suppose 0 = 2*a, -4*w + 3*a + z*a = -20. Suppose -12 + 1 = -u. Solve -9 = -w*j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -29. Let x be (-8)\/b - (-16)\/24. Suppose -2*t - 3*t + 174 = 4*k, -2*k = x*t - 68. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 2*x**2 + 6*x - 6. Let u = 6 - 4. Let l = u - -4. Calculate the remainder when f(3) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - ((-56 - -45) + -98)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/(-22 - -17).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 56 + 9. Let g = -6 - j. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173348*q**3 + 154103 wrt q?\nAnswer: 520044*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38007 - 4?\nAnswer: -3800b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*k + w + 2490, -2436 = 3*k + 3*w. Does 15 divide 1*((5 + -1 - k) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 25*t + 7 + 2*t**2 - 10*t. Let a be y(-8). Let v be (-30)\/(-135) - (a + (-11)\/(-9)). Solve -r - 3*r + 20 = v, -3*r = 2*h - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -100323001?\nAnswer: 100323112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1092, 2321, 3836, 5781, 8300, 11537?\n\"Answer: 24*v**3 - v**2 + 1064*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((6\/9)\/(-1)). Suppose -u*n + 4*n + 3*x - 21 = 0, -n - x = -11. Suppose 0 = 5*k + a - 30, 2*a + 0 = -k + n. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/3)\/(i*i**(-4)*i) assuming i is positive.\nAnswer: i**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -35. Let m(f) = -f**2 + 13*f - 21. Let s be m(x). Let v = 38\/187 + -4\/187. What is the third smallest value in s, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlqjqlxqxqjqqxlqxxxj. What is prob of picking 2 q and 2 x?\nAnswer: 147\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295692?\nAnswer: 2, 3, 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-66)*-6*(-8)\/36\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:49 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 + 229. Let g = -29 - k. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-7)\/2) - ((-17752)\/1078 + 16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3 + 15*s**2 - 9*s - 27 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2700712?\nAnswer: 810213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + x - 20 = 0, -4*l - 5*x = 32 - 112. What is the remainder when 30 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -128?\nAnswer: -33\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13 = -s, 4*i - i = -4*s + 47. Suppose 4*o - i*o = -170. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1465\/2*g**2 + 268644*g + 1\/2*g**3 + 267912 = 0.\nAnswer: -732, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/492296 and -95\/616.\nAnswer: 5415256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88759131 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*t - 5*d, 0*d - 2*d = 2*t. Suppose -k - 3*u - 19 = 0, 5*u - 3 = -t*k + 3*k. Put 0.1, 3, k in descending order.\nAnswer: 3, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51612 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*g**2 - 128*g**2 + 144740 - 144742 in the form n*g**2 + z + a*g and give n.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -104941 at least as big as -104970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 - 19)*(4 - 4 + 2)*(63*h + 45*h - 32*h).\nAnswer: -1216*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1170 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179*k**3 + 281*k**3 - 196*k**3.\nAnswer: -1094*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - z**2 + 3*z**2 - z**3 + z**2 + 2*z**4 + 4*z in the form j*z**2 + o*z**4 + c*z + q*z**3 + b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -1097, -2412, -4237, -6572, -9417, -12772?\nAnswer: -16637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 4. Let m(g) = -1 - 8*g**2 + 0 + 2*g + j*g**2. What is m(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1332122*u**2 + 578925?\nAnswer: 2664244*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w**2. Let c(y) = 8 - 8 + 3*y. Give v(c(s)).\nAnswer: 99*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - (3 + 2)) + 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1\/(-1))\/(4284\/1632).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/21*-3*7\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 9. Let s be m(-7). Let w be 7*((-2)\/(-2) - s). Let d = w + 28. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299 by 23081.\nAnswer: -299\/23081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 4. Let g be 7\/(-7) + (-2)\/t. Suppose 2*h + a = 2*a - 2920001, g = a. Round h to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 13352 + 13280 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(19\/((-1140)\/(-18)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Let v be r(6). What is the remainder when 6 + 52 - (-3 - -2) is divided by 4 - (-13 + (v - 3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 438 and 219.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 3*c - 8*c + 4 - 11. Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1116 - 1113. Let c(v) be the first derivative of 7*v + 8\/5*v**5 + 0*v**4 + 0*v**r + 7 + 0*v**2. Find the first derivative of c(h) wrt h.\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54326610151 + 54326610375.99999763. Let i = -225 + o. Round i to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 - 916*b - 4680 = 0 for b.\nAnswer: -5, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25311 + 25316. Sort -21, 6, g.\nAnswer: -21, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 12 - 2) + (-616)\/2. Is -304 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293330, 293709, 294344, 295241, 296406, 297845?\nAnswer: 299564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + sqrt(1331) + 1)**2 + -4 - ((-2*sqrt(1331) - sqrt(1331)) + 0)**2*-4).\nAnswer: -22*sqrt(11) + 49245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-17)\/m*((m*m*(m*m**11*m)\/m*m*m)\/m)\/m assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11751 - 6618. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*h - 939*h - 1194*h = 1881 + 671 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 38712769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*1)\/(-5*-1*sqrt(11)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155069 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6226?\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 771, 380, 3, -3, -1 in descending order.\nAnswer: 771, 380, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2278131*m**3 + 1044332.\nAnswer: 6834393*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6525278 minus 0.17004?\nAnswer: -6525278.17004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1024845*z**5 - 3*z**3 - 3039166*z?\nAnswer: -20496900*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (459\/306)\/(-3 - (-1539)\/522)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7554 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83705 (base 14) to base 6.\nAnswer: 10443145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 30. Let k be (3039\/(-33))\/(3\/m). Let x = 460 - k. What is the common denominator of x and 59\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 42 - 112 = -47*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - o + 0*o)*(-899 + 59 + 397)*(0*o - 4*o + 3*o).\nAnswer: 1329*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-110))\/((4\/8)\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 79715140.\nAnswer: 159430280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*4\/(-2). What is the remainder when 117 is divided by 27 + k*6\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/((-2)\/8). Suppose 5*f + 12 = 3*f + 4*j, -s*f - 3*j = -9. Let q(w) = 2*w - 11 - 3 + f*w + 1. Let i(r) = r - 7. What is -11*i(k) + 6*q(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f. Suppose -4*d + 3*d = -2. Let x(o) = 20*o - d*o**2 - 20*o. Determine x(j(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:16 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**6\/15 - 13*a**4\/6 - 34*a**2 - 26*a - 2. Differentiate m(l) with respect to l.\nAnswer: -8*l**3 - 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3833 divided by 6.\nAnswer: -3833\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:37 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 10) to base 3.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 213412 + v**2 - 213412 + 2*v**2. Let y(a) = -22*a**2. Determine y(d(c)).\nAnswer: -198*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4428912 by -92269.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3))**5)**(1\/30) assuming d is positive.\nAnswer: 1\/sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -15. Let n = w + 14. Which is the nearest to n? (a) 2 (b) 1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y + 575 - 442. Solve 2*q + 8 = o, 3*q = o - 6 - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 14*t + 58. Give s(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3995 and 68170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1670 + -5008\/3. Which is the nearest to 0? (a) -5 (b) m (c) 0.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16038 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 18856\/(-28)*-7 - 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/413, 1\/2, 35, -0.1, 1\/5 in decreasing order.\nAnswer: 35, 1\/2, 1\/5, -1\/413, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 105. Suppose k*m = 34*m + 156. Which is smaller: m or -11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/3 - (-4)\/(-6). Let i(u) = 0*u + 0 + 1 + u - 3*u. Give i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 8560.\nAnswer: 8560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11412641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-11))\/o**16)**(-48) assuming o is positive.\nAnswer: o**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -74964304.3 rounded to the nearest 1000000?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096432122 to 7 decimal places.\nAnswer: 0.0009643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1.09, -1\/3, -0.1, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h + 4*r + 1248 = -65*h, 2*h - 4*r = 640. Calculate the lowest common multiple of h and 456.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 35\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47703450 divided by 3?\nAnswer: -15901150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(130) - (sqrt(130)*-2 + sqrt(130))*1 - (4*sqrt(130)*-5 + sqrt(130)))\/((-3*-1*sqrt(80))\/(6*2*sqrt(8))).\nAnswer: -4 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148861 or -148902?\nAnswer: -148861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 4\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*l + 3*l - 3*l)*(5 - 5 - 2) + l + 0*l - 3*l + 3*l + 0*l - 7*l)*(2*l - l**3 - 2*l) to the form o*l + f*l**3 + h*l**4 + g*l**2 + x and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 0*y)*(-4 + 2 + 1)*((2 - 2 - 1)*(3182 + 6833 - 6932) + 1 + 0 - 3).\nAnswer: -9255*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s + 579. Let f be n(-41). Let p(a) = 2 + 2*a**2 - a**2 - 3*a - 2*a**2. Calculate p(f).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 115*t**2 + 51*t**3 - 25*t**2 - 46*t**3 - 5*t - 90 = 0. Calculate t.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 11*l - 307. Let q be w(-10). Let t = -0.04 + -1.96. Which is the nearest to t? (a) -4 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -513, -29 in decreasing order.\nAnswer: 11, -29, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83349.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3140*a**5 + 55*a**4 + 588*a**2 + 13*a - 25 wrt a.\nAnswer: 188400*a**2 + 1320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3849 - 23089\/6. Sort 11, 4, -0.03, s.\nAnswer: -0.03, s, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from sujuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiimiibxbbji. Give prob of sequence bxem.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4981073 and 538?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/10 - q**3\/2 + 4*q**2. Let k(h) be the first derivative of -7*h**3\/3 + 4*h - 6748. Give -3*k(t) - 4*s(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.91 + 8.49. Round u to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10869704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43268 divided by 4?\nAnswer: -10817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/112*4 + 4810\/(-14). Let a = -344 - t. Solve -c + a*c = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -27, -44, -73, -120, -191?\n\"Answer: -g**3 + 3*g**2 - 13*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 194\/(-1455) + 8584\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/((-74)\/8547). Suppose -m*u = -65*u - 168. Solve 4*k + 6 = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -206, -191, -174?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(-1)\/24 - 2\/(-3). Suppose 36 = 2*i + 2*i. Suppose 3*f + 6*y - 4*y - i = 0, 3*f - 5*y = -12. Calculate the highest common divisor of h and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1064219 rounded to four dps?\nAnswer: 0.1064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/24*-7*6\/14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7584 or -51677?\nAnswer: -7584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.772 + -21.772. What is the third smallest value in -4, q, 6, -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1, 97, -3\/4, 10, -2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 7*r**2 + 13*r - 4. Let v be h(2). Let l be -4 - (-4 + v\/(-11)). Which is the closest to 1\/4? (a) 0.5 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*b**3 - 241*b**2 wrt b?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 376, 322, 268?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o**2 + 9*o - 2. Determine u(7).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/150)\/(63\/10)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**4)**(-2\/47)\/((m*m\/(m**2*m))\/m*m)**29 assuming m is positive.\nAnswer: m**(1353\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -378.46*127\nAnswer: -48064.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2844058 and 4295108.\nAnswer: 210460292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5253366.\nAnswer: 2, 3, 139, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 1. Suppose 4*d = -3*c + 13, 54 = 5*c + 5*d + 39. Let i(b) = -2*b**3 + 5*b**2 + 4. Determine c*i(h) + 5*g(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4539\/13 - -349. What is the closest to 1 in y, 2\/7, 0, 0.18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 2. Let u be s(-1). List the prime factors of (-1298)\/33*(0 - (u + 0)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30976.65458 rounded to the nearest ten?\nAnswer: 30980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*i + 7, 12 = 2*k - i. Let y = k + -5. Suppose 5*v + 19 = 4*d, -3 + 46 = y*d + 2*v. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7190.\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -11.6. Round w to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32686.604 to the nearest 100.\nAnswer: -32700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*b**2 + 493*b**2 - 239*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:16 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-1 + 1 - 2*o) + o - 3*o + 3*o + (-2*o + 2*o + 2*o + (3*o - 3*o - o)*(2 + 4 - 1))*(-2 - 1 + 2).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 27 - 9. Suppose 2869 = -m*s + 11335. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 19*a - 30. Let l(y) = y**2 - 1. Let o(h) = -4*h**2 + 6. Calculate a*o(d) - 30*l(d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let c be (-72)\/(-154) + (-54)\/189. What is the closest to -6 in n, 4, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.348 + 4.072. Let y = x + -3.42. Which is the closest to -1? (a) -0.1 (b) 3 (c) y (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*m + 4*b + 28 = 184*m, -m + 2*b + 11 = 0. Solve -i = -3*i + l - 4, -m*i + 3*l - 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*u + 7 = -28, -5*q = 5*u. Solve -h = -x + 3 - 0, q*x = -h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 169182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*d - 12 - 0, 0 = -4*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.25. Let t = 146 + -165. Let d = t + 15. Put j, d, -1 in decreasing order.\nAnswer: j, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/394820 and 129\/987050.\nAnswer: 1974100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (496*24\/2304)\/((-5)\/30)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 17. Suppose 0 = 3*j - s - 33. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Let u(a) be the second derivative of -5*a**4\/6 + 21*a. Give u(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -5*g**4\/24 + 7*g**3\/6 + g**2. Let l(a) = -a + 1. Let j(w) = -d(w) + 6*l(w). Let t be j(1). Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 569\/6 + -95. What is the biggest value in q, -0.3, -426?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/3 + 1345*p**2\/3 - 574571*p - 773024811 = 0.\nAnswer: -1329, 1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2988 and 750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -896, -1794, -2694, -3596, -4500, -5406?\n\"Answer: -x**2 - 895*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*z**2 - 3*z**3 + 1162*z**2 - 582*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*n - 46*n - 3050. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32*(-1 - (-1)\/2). Let a = c + -7. Find the third derivative of -5 - a*i**5 + 4*i**2 + 5 + 4*i**5 wrt i.\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 2*f - 6*f - 42, 4*p - 5*f - 39 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 - 2953*x**2 - 712*x + 19224. What is f(-738)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 29*w**2 - 182*w + 917. Calculate f(5).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 329 and -0.12.\nAnswer: -39.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 5, n: 2, x: 3}. Give prob of sequence nmnm.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a**3 - 4*a - 1 + 7*a + 4*a + 4*a**2. Suppose 31*w + 10 - 125 = 9. Let d(l) = -l**3 + l**2 + l. Calculate w*d(j) - f(j).\nAnswer: 2*j**3 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.0683221 rounded to 2 decimal places?\nAnswer: 144.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(-1) - (-567)\/135?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + -77. Calculate the lowest common multiple of 14 and l.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -1 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 32 = -2*d. Let i = -5 + d. Let m(t) = 2*t + 2. Let r be m(3). Solve r = -4*v + s - 5, -i = 2*v + 3*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 15 = 2*t. Suppose -2*h + 4 = 0, 4*h - 4 - t = -z. Put 0, -2, 3, z in descending order.\nAnswer: 3, 0, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4921747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-70)\/(-24) - 3)*-4*9. Solve 4*f = q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5723 + 5726. Let o = 3 + -5. What is the second smallest value in 2, o, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((0 - 4) + 3 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (((-1125)\/(-6))\/(-5))\/(3\/(-4)) and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 33 = 7*v + 2*o, -5*v + 2*o = 17. Let u = 0.29 - 0.39. What is the nearest to v in u, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8351.893l?\nAnswer: 8351893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:53 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -54984.5 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (sqrt(104)*-3 - sqrt(104)))*-4*3)\/(sqrt(8) - sqrt(200)*2 - ((sqrt(512)*1 - sqrt(512) - sqrt(512)) + sqrt(8) - sqrt(8))))**2 + -3.\nAnswer: 16845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.22 - 0.22. Let g = s - 32. Which is the closest to 0.2? (a) 2\/21 (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftff when four letters picked without replacement from fffftffffttftfftff.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 12*t - 2. Does 27 divide s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 9396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1358637*q. Let t(w) = -2*w**2. Calculate t(u(y)).\nAnswer: -3691788995538*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1944*j**2 + 16*j + 500*j**2 + 5287*j**2.\nAnswer: 7731*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 72*o = -18*o + 3638 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1700582*-0.4.\nAnswer: -680232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 21*w**2 - 16*w + 4. Is s(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4892*h + 2794*h - 3104*h.\nAnswer: -5202*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 - 1\/6*y**5 - 5\/3 + 1\/2*y - 1\/3*y**3 + 8\/3*y**2 = 0. What is y?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -461*k**6 + 2*k**4 - 7*k**3 + 94*k**2 - k + 134 wrt k.\nAnswer: -55320*k**3 + 48*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/((-1176)\/(-128) - 9). What is the greatest common divisor of 832 and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:49 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -628865, -1257567, -1886269, -2514971, -3143673?\n\"Answer: -628702*b - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - -5 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8cfe6 (base 16) in base 7?\nAnswer: -4623463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 8*o + 1233. Suppose -x + 1 = 0, -14*t + 111 = -9*t - 4*x. What is the remainder when o is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6815 = -6819. What is the nearest to 1 in 2\/11, 5, -2.3, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -13. Let w = q - 5. Let g be (-2 + 5 + w)\/2. Is g != 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 49*q**3 + 29*q - 7. Let l(a) = 25*a**3 + 15*a - 4. Give -9*l(u) + 5*n(u).\nAnswer: 20*u**3 + 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 + 3*f**2)*(-2 + 2 + 5).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2. Let n(s) = 911*s**2. Determine u(n(h)).\nAnswer: -1659842*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3114 (base 7) to base 10\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.7 + -0.3. Let n = 6 + o. Suppose 45 = -5*d + 5*a, -4*a = 3*d + d + 20. Do d and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (5 + 0 - 11)*1\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 74\/(-18) + 4 + 35\/(-9). Put 5, b, -11, 2 in decreasing order.\nAnswer: 5, 2, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, 1434, 5 in increasing order.\nAnswer: 1, 2, 4, 5, 1434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11821306*s**3 - 40298275*s wrt s.\nAnswer: -70927836*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 780 - 448. Let i = v - 275. Calculate the remainder when i is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*s = -12*x + 2572, -s + 2564 = 5*x. Suppose 10*h + x = d + 7*h, 4*d + h - 1983 = 0. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/((c**(-4\/3)*c)\/c))*((c\/(c*c\/(((c**(1\/14)*c*c)\/c)\/c)*c)*c)\/c)\/c)\/(c*c**(-15)*c*c**(-6)) assuming c is positive.\nAnswer: c**(661\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11 = 3*i, i - 4 = -4*b + 3. Let j = i - -5. What is the greatest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1931, 2272, 2613?\nAnswer: 2954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddpppppppdppp. What is prob of picking 2 p and 1 d?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 + 133 = 0. Calculate the greatest common divisor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.4, -5, 3 in decreasing order.\nAnswer: 3, 0.4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + v + 2*v**3 - 16*v**3 - 12.\nAnswer: -14*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 3, k: 1, m: 2}. Give prob of sequence mk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -325275, -325277, -325279, -325281?\n\"Answer: -2*h - 325273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let v be -1 - -1 - 6\/(-135). Let u = -32\/45 + v. Let x = -212587 - -1062933\/5. Sort x, 2\/7, u in decreasing order.\nAnswer: 2\/7, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 31*p**2 - 34*p + 1848. Let d(g) = -15*g**2 + 18*g - 925. Let y(t) = 11*d(t) + 6*x(t). Find the first derivative of y(r) wrt r.\nAnswer: 42*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -2132000205?\nAnswer: 2132000214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**2 - y - 12. Let r = 514 - 516. Let g(q) = -3*q**2 + 3. Give r*j(f) - 9*g(f).\nAnswer: 3*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1029 + 1030. Let j = 1\/10 - -1\/2. Let t = -201\/7 - -29. Which is the nearest to t? (a) k (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -26 (b) -4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 18*n + 5. Let i be m(18). Let k be ((-360)\/(-33))\/i + -2. Find h such that -k*h - 2\/11*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 12*i**2 - 96*i + 1036. What is z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y = -16*y + 41 + 31 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 39. Let z be -1*(-3 - t)\/5. Solve -4*v - 5 + 25 = z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 10, 1, 9 in descending order.\nAnswer: 10, 9, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 14. Let f(d) = -1. Give 4*f(r) + n(r).\nAnswer: r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12604\/736 + 1*-18.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*t - 82 - 117*t + 245 - 70 - 93.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + h = -21, -2*k - 2*h - 9 = -h. Let o be (k + 2)\/1 + 8\/6. Let x be ((-2)\/12)\/((-2)\/8). Which is the nearest to x? (a) 1 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -619\/1660 - 9\/332. Let n be (-140)\/49 + 3*1. Which is the second smallest value? (a) f (b) n (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*b**2 - a*b*d**2 - 465*a*b*d - 4*a + 29*b**2*d**2 - 583*b**2*d wrt a?\nAnswer: b**2 - b*d**2 - 465*b*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.06 - -1. Let b = 20 + -33. Let s = -16 - b. What is the smallest value in 2, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 + -3.99. Let m = 3.5945 + k. What is m rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 143115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**3 + 72129*q**2 - 2*q - 4070?\nAnswer: -30*q + 144258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50646.0048651 - 50646. Round j to 5 decimal places.\nAnswer: 0.00487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -13, 1, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.97 + 0.03. Let v = -39.66 + 36.66. Which is the second smallest value? (a) 4 (b) v (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 - 30*a + 29. Determine y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + 2\/4. Let i = 1 + b. Suppose -4*j + 16 = -3*j. What is the greatest common divisor of i and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f*f)**29\/(f**8*f**8) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36745664959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.000021 + 52. What is i rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 605, 2146, 5145, 10088, 17461, 27750?\nAnswer: 41441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -25.8. What is the second smallest value in w, 1\/3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let u = -37701 - -37681. Which is the closest to u? (a) s (b) -1\/10 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 5*g**3 + 115*g**2 + 195*g + 90.\nAnswer: -5*(g - 6)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 7. Let b(r) = 7*r - 14. Give -2*b(f) - 5*x(f).\nAnswer: f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 1923 = 3*q - 1908, -11 = 3*q - 5*t for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x + 2*x)*(-122 - 992 - 1722 - 1086) to the form f*x + p and give f.\nAnswer: -7844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {q: 2, w: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -1\/4 (c) -10385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -62, -1, 3.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d - 7. Let z be n(7). Suppose 0 = o + 5, -l + z = l - 5*o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*z + 2618 - 10282 = -239*z. Let q = -9 + 15. What is the greatest common divisor of q and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f + 5. Suppose 0 = -4*r - k - 1, -k + f = 3*r - 4*k. Solve z - 4*j + 5 = r, 0 = 3*z - 2*j - 0*j - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8564746 is divided by 2854909?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*n = -110 - 394 - 1296 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8\/3)*z)**(-23\/4)\/(z*z*z**0*z**(4\/15)*z) assuming z is positive.\nAnswer: z**(379\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3762060978 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m + 6 + m**2 - 4 + 1. Let u be x(3). Let v be u\/(1 - 3) + -1. Solve -j - 5 = 0, j = -0*z - 4*z - v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6234687?\nAnswer: 3, 692743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*i**2 - 107*i**2 + 21*i**2 + 41*i**2 + i.\nAnswer: 24*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/44)\/(36\/(-120))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*h**5*p + h**5*z + 2*h*p + 4*p*z + 5*p wrt h.\nAnswer: -760*h**3*p + 20*h**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*i - 3*k + 13, -3*k = -5*i - 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 1780 = -1982. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o - o)*(-o**4 + o**4 - o**4) + (-13*o**4 - 6*o**4 + 20*o**4)*(3 - 3 - 2*o) + (o**2 - 1 + 1)*(-o**3 + 0 + 0) + 8*o**5 - 4*o**5 + 5*o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(12*70\/117096)\/(-5)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3 - 29\/(-9)). Suppose 18 = -3*w + a. What is the units digit of 28\/w*(-9)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27228 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 + 4*g**2 - 2*g + 3. Let w = -150 - -146. Let d(z) = 2*z**3 - 3*z**2 + 2*z - 3. Let a(p) = w*q(p) - 5*d(p). Give a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-294)\/231)\/(-7) + (-67406)\/(-11)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**3 + 3*f**2 + 5\/12*f**4 - 5*f + 1\/12*f**5 + 0 - 1\/24*f**6. Determine x so that t(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-20.9.\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d**2)**16*(((d**5*d)\/d)\/d)\/(d*(d\/d**4)\/d*d*d*d)*d**(-2\/13)\/d*d**(2\/9) assuming d is positive.\nAnswer: d**(-7129\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c**2 + 10*c - 11\/2*c**4 + 2\/3*c**3 + 25. Find the third derivative of a(t) wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 378.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13746136279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 511 and 438.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -4502?\nAnswer: 44a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*t + 7*t, -3*h + 21 - 4 + 7 = -8*t - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -9. Let s = 52.3 - 51. Let w = s + h. What is w rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 - 5*c. Let p be x(-5). Let d(l) = 0*l - l + 4*l + p*l. Let s(n) = n. Calculate s(d(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 3*y + 2. Let u be b(4). Let z(k) = -4*k**3 - 3*k**2 - 3*k - 6. Let r be z(u). Calculate the highest common factor of r and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525114 divided by -5.\nAnswer: -525114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*s - 976 = -95*s + 188*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1097200*a*t**2 + 27*a*t - 82836*a + 143 with respect to t.\nAnswer: 2194400*a*t + 27*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 1269000 = -45*d. What is d rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Suppose -4*i - 88 = -8*r + 4*r, -n*i = -4*r + 86. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 34*q - 19. Let s be (1\/1)\/(-7*(-4)\/140). List the prime factors of g(s).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0.3, -2\/5, -7, 28.5, 1.42?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.20097 + 10.2. Round l to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.648 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15346 is divided by 1096.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473048?\nAnswer: 2, 29, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2885687 at most as big as -2885686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 509683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1790 = 432*n + 494. Suppose -2 = 3*d + 1. Do n and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/18 = 179\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from nnzozzjznnnzzznzoo.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + 3*m**2 - 3*m - 10. Let u(r) = r**4 - 2*r**3 + 2*r**2 - 2*r - 11. Let f(b) = 2*d(b) - 3*u(b). What is the first derivative of f(q) wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.55 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40485612 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-4)\/((-16)\/20). Let h(q) = q**3 + 2*q**2 - 3*q - 3 + 2*q**m + 7 - 2*q**3. Let x be -5*((-12)\/(-10) + -2). Determine h(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3 + 6*h - 3*h - 2*h**3 wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, k: 7, o: 6, w: 1}. What is prob of picking 1 f and 3 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42924 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(975))\/(sqrt(6)\/(-2*sqrt(2) + sqrt(2))))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -60.387.\nAnswer: -58.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/29665 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -0.3, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9801, 10437, 11497, 12981, 14889?\n\"Answer: 212*s**2 + 9589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 12*z**2 - 14*z**2 + 4*z**2. Let w(p) = 2*p + 357. Give s(w(u)).\nAnswer: -8*u**2 - 2856*u - 254898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 370*t**2 - 373*t**2 + 11 + 722*t**2.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 10. Suppose 0*v + 28 = b*v. What is the least common multiple of v and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77838072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*q - 11 = 0, -2*s - q + 8 + 11 = 0. Solve 8*g = -s - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 + 3*h**3 + h**3)*(77*h + 137*h + 51*h + h - 5 + 5 + (-2 + 4 - 3)*(2*h - 7*h + 3*h)).\nAnswer: -268*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47587 - 24107. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + -3635\/36. Let y be (-2)\/5 - 28\/(-45). Let s = y + m. Is s > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 770 + 86?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*x**3 + 197*x**3 - 462*x**3.\nAnswer: -176*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -278, -250, -210, -158?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 123111120 (base 4) to base 6\nAnswer: 2222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {a: 1, m: 3, i: 4, j: 1, x: 2, c: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 579\/2123 + (-4325082)\/(-231) + 1. Solve 4\/7*n**3 - b + 12288\/7*n - 384\/7*n**2 = 0 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5515138 is divided by 196969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 16102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:04 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Suppose 3*z = a*z - 14. Find the first derivative of -z + 2 + 0 - 6 - 2*l**3 wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*v + 24 - 24)*(-2*v**2 - 4*v**2 + 4*v**2)*(-1 - 23 + 76) to the form j*v + f*v**3 + m*v**2 + w and give f.\nAnswer: 3952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26838111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5018774 divided by -3\nAnswer: 5018774\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 25144*t**3 - 1999018*t**2 + 2024160*t = 0 for t.\nAnswer: -80, 0, 1, 12651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 3\/4 (b) 0.1 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18656668 divided by -62?\nAnswer: 300914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8424 and 40.\nAnswer: 39.1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + g = -2, -8 = 4*c - g. Let j(r) = -32*r**2 - 7*r - 6. Let v be j(c). Let l = v - -185. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-40))**(3\/8)\/((w\/(w\/(w**(-1\/41)\/w)))\/w**(2\/17)) assuming w is positive.\nAnswer: w**(-9659\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 2513759.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 590*z - 449. List the prime factors of v(9).\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50949*j**3*k + 184*j**3 - 28297004*j**2*k wrt j?\nAnswer: -305694*k + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -11\/7, 0.4, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4)*l*l*l\/(l*l**(-10)))**(-44)*(l*l*l*l**(-2\/5))\/(l**1*l)*(l**(2\/3)\/l*l)**(1\/23) assuming l is positive.\nAnswer: l**(-257843\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35066 = -17*h + 186145. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-315)*375\/(-250)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine halves of a century in months?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/10*(11 + -1). Suppose 0 = 12*h - 5*h - 84. Let q = p + h. Sort -0.5, 0.5, q.\nAnswer: q, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -154, 5 in decreasing order.\nAnswer: 5, -6, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddffkkfdfddffffd. Give prob of picking 1 f and 1 k.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -1, 0 in decreasing order.\nAnswer: 192, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70735 - 0?\nAnswer: 70735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10583748 a multiple of 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -81. What is the remainder when 48 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2\/5, 27.358 in ascending order.\nAnswer: 2\/5, 3\/2, 27.358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 32 = 2*s, 6*s - 5*i + 31 = 7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f*f*f*f*f**0*(f**3*f)\/f**(2\/11))\/((f*f\/(f\/f**(1\/2))*f\/(f*f**(-6\/11)))\/(f\/(f*f\/(f\/(f\/f**(-1))*f*f))*f**(-8))) assuming f is positive.\nAnswer: f**(-137\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*n**2 + 90*n - 32938 wrt n.\nAnswer: -28*n + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 37*l**2 - 8*l + 36. Let b be (-4)\/10 - (-4 + 6\/10). Is r(b) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1475517 nanoseconds in milliseconds?\nAnswer: 0.0000001475517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a minute in seconds?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.481484ns in seconds?\nAnswer: 0.000000008481484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 1 - 525*j**3 + 35*j**2 + 190*j - 12*j**2 - 23*j**2 + j**4 wrt j.\nAnswer: 12*j**2 - 3150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p**2 + 0*p**2 - 3*p**2)*(-42 + 34 - 47 - 75 + 20) to x*p**2 + f*p + v and give x.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-316)\/16 - (-9)\/(-12). Suppose -d - y + 23 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 76*p**2 - 140*p + 592.\nAnswer: -(p - 2)*(p + 4)*(p + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2\/7)*f)**29\/((f**12\/f)\/(f\/(f*(f\/f**(-3))\/f))) assuming f is positive.\nAnswer: f**(453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 18a?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 15. Let s(b) be the first derivative of b**2\/2 - 7*b + 9. Let m be s(u). Which is smaller: m or 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24437\/16 - -1528. Let v = 119263\/12 + -9948. What is the common denominator of v and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1022387207*l**3 + 788458044*l**2 wrt l?\nAnswer: 6134323242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 551947421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**2 - 3*u - 1. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let u(i) = -3*i + 3*i - 4*i**y. Let t(w) = -9*w + 4. Let z(g) = -23*g + 10. Let d(o) = 5*t(o) - 2*z(o). What is u(d(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:08 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (91\/(-28) + 3)*-8. Find p, given that 336*p - 3*p**3 + 10 - 6*p**b + 8 - 321*p = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000076763839 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/(-5170))\/((-18)\/44)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 27 - 115*f**2)*(-4*f + 4*f + 2*f**3).\nAnswer: -230*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 343196089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3869\/136 - -405\/17. Let m be (-24763)\/3590*(-10)\/36. Let z = 2\/3231 + m. What is the common denominator of z and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxkkkxm. Give prob of picking 1 x and 1 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v + 4*v. What is the first derivative of -1 + 2*a + 0*a + a**v - 2*a wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -n + 10 + 13, -2*n = -3*a - 46. What is the third derivative of 0*c**2 - n*c**3 + 6*c**3 + c**2 wrt c?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*x + 472 - 282 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 - b + 2. Let w be d(0). Let v = w + 3. Solve x - 3 = 4*y + v, 2*x + 2 = -y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12*v - 570. Let a = v + 131. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 68.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092553.\nAnswer: 7, 11, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(-r + 3*r + 0*r) - 3*r + 8*r + 0*r to the form o + m*r and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 + 7807*y**3\/3 + 46814*y**2\/3 + 62408*y\/3.\nAnswer: y*(y + 2)*(y + 4)*(y + 7801)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2272)\/(-71)*6\/8*-2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8513 is divided by 908?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*k + 40, 2*f + 3*k - 10 = 9. Solve 2*m - 2*x + 4 = 0, 2*m - f*m + 5*x = 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24819496\/32 + -4 + (-150)\/(-40) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40253570 + 0*g - 40253578 - 182*g**2 + 2*g + 4*g**2 + 0*g**2 - 3*g**2 + (g + 0*g - 3*g)*(-2*g - 2*g + 5*g) + 3*g**2 - 2*g**2 + g**2.\nAnswer: -181*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -111*u - u**2 - 14 + 52*u + 52*u. Let x be w(-5). Let r = x + 6. Solve 0 = -5*h - r - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12608 = 73*p - 11805 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, -1485, -5146, -10753, -18306, -27805, -39250?\nAnswer: -52641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 40*o + 21*o + 16*o)*(26*o + 18*o - 9*o).\nAnswer: -105*o**2 + 35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/345 and 9\/161.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.34 + 13. Let x = a - -0.4. Let y = x + 0.005. Round y to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:41 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73.34609113 + -1826.\nAnswer: -1752.65390887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 84.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531739 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-7))\/(1 - 4*(-35)\/(-98)). Let w = 62.8 - 63. Which is the nearest to -2? (a) -10 (b) -2 (c) v (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828 divided by 4?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let t(i) = 214845*i. Determine j(t(a)).\nAnswer: 429690*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 557 - 75*s**2 - 551 + 134*s**3 - 134*s**3 + 2*s**5 + 18*s wrt s.\nAnswer: 40*s**3 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z**2 + 68*z**2 - 154*z**2 + 26*z**2 - 10*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12518*z - 125180. Let l be r(10). Let a = -2 + 1.5. What is the biggest value in -2\/15, l, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1033.\nAnswer: 1\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3*(-83)\/249\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 22*o**2 + 263*o - 10. Let y be d(-12). Solve 0 = -y*n - 8*n + 40 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -9, 9, 49, 117, 219, 361?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -173*r - 19 + 311*r - r**2 - 158*r. Let o be s(-19). Suppose -2*i + 4*x + 86 = o, 2*i + 0*x - 82 = 2*x. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.5 - -15. Which is the third smallest value? (a) j (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -998 divided by 1?\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 5*y - 4*y - 2, 0 = -5*l - 3*y + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s\/(s\/((s\/((s\/s**(-11))\/s))\/s)))\/s*s*s**(-1)*s)**(-16)*(s**(-2\/7))**(-2\/7)*(s**6*s)\/(s**(-5)*s) assuming s is positive.\nAnswer: s**(7599\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**3\/9 - 163676*w**2\/9 = 0.\nAnswer: -40919, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032447 take away -759467?\nAnswer: 3791914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*w**5 - 4\/5*w**3 - 2\/5*w**4 + 4\/3*w**2 + 14\/5*w + 6\/5.\nAnswer: 2*(w - 3)**2*(w + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8421790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let l(q) be the first derivative of 13*q**2\/2 - q - 441. Determine l(f(d)).\nAnswer: -13*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 1. Let y be t(3). What is the second derivative of -26*d**3 + 52*d**3 - y*d**3 + 6*d - 6*d**5 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 5 = 7*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7\/4))\/(g**11*g) assuming g is positive.\nAnswer: g**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1023 - 2045 - 3250)*(-4 + 1 + 5)*(0*j**2 + 0*j**2 + j**2).\nAnswer: -8544*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 4, 8.9, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 2*a - 2. Let g be r(-1). Suppose -4*t = 3*c - 21, -3*c + t = -t - 3. Let w be (-51)\/(-4) - c\/g. Solve -2 = 5*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*h = -166*h + 21 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*u = 14, 3*s + u - 1 - 1 = 0. Suppose -n + 4*q + 115 - 31 = 0, 0 = -s*n + 5*q + 165. What is the smallest common multiple of n and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 1553, 3096, 5151, 7718, 10797?\nAnswer: 14388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4820 = -n - j, n + 1489*j + 4808 = 1492*j. Which is smaller: -4815 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*r**2 + 62*r**3 - 33*r**3 - 35*r**3 - 7*r**4 wrt r.\nAnswer: -168*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27166 divided by -75\nAnswer: 27166\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.091097 micrometers in centimeters?\nAnswer: 0.0001091097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*p - 44 = -3*t, t - 74 = -4*p. What is the greatest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-211209)\/5)\/(-3) - (247\/95 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 6*x - 7. Let d be a(11). Suppose -5*j - 3*j = -d. Calculate the remainder when 16 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 - g - 13. Let h be k(-11). Let w(r) = r**3 - 3*r**2 - 4*r. Let d = 8 - 4. Let t be w(d). Sort -5, t, h in descending order.\nAnswer: t, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(704) + -1 - (sqrt(1584) - (-4 + -1*sqrt(1584))**2)) + -4*3*(sqrt(275) - (sqrt(275) + (sqrt(275) + 0 + sqrt(275))**2 - sqrt(275))*5).\nAnswer: 32*sqrt(11) + 67597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -74\/5931851?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 6\/19, 3, 1, -8\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1618880533 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1206*y + 3292 wrt y.\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.06. Let l = 3.94 + v. Let r = l - 4.056. What is r rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose -10 = -2*u + 4*n, 0 = 2*u - u - n - 5. Sort v, -4, u in decreasing order.\nAnswer: u, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*t = 25, -2*f - 32*t = -42*t - 142 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 8, -465, 2, 4, -5 in descending order.\nAnswer: 8, 4, 2, -5, -39, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12 and 131\/8064.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*t**2 - 29*t**2 + 118*t**2 + (1 - 1 - t)*(-4*t + t + 0*t) + (-7*t + 2*t - 2*t)*(-3*t + 0 + 3 - 1).\nAnswer: 136*t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-8))\/((-4854538)\/(-49452))?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -54 + 6*w**2 + w**3 + 2*w**2 - 8*w + 64. Let z be c(-9). Suppose -s = z - 6, 0 = 4*j - 4*s - 12. What is the least common multiple of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-427)\/84 + 2\/6. Let o = r + 1\/12. Find the common denominator of 1\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297 times 1.61?\nAnswer: -5308.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3840664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11 bigger than -1337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n. Let f(b) = 771*b + 2. Let d(s) = -3078*s - 9. Let p(w) = 2*d(w) + 9*f(w). Calculate p(l(c)).\nAnswer: 6264*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -5509.9?\nAnswer: 5511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -t + 34 + 43, 319 = 5*t + 2*g. Calculate the greatest common factor of 220 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 24 - 24)*(0*j + 3*j - 5*j) + 2*j - 5*j + j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 6*a - 110. Give w(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/22 in 3\/2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 1. Suppose -6 = 3*u - 4*u. Let i(q) = -q**2 - 3 + 3 - u*q - 4 + q. What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 154322*q.\nAnswer: -2*q*(q - 77161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-465)\/31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*o - 2. List the prime factors of (o + 1)\/((-2)\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9147 times 2.826\nAnswer: -25849.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:31 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 60 = -4*k. Suppose -10*s + k*s = 25. Suppose 2*i + 3*p + 9 = s*i, 3*i - p - 15 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + -2. Let d = 0.39999979 + u. Round d to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -5 + 7608\/(-7616). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28127600 rounded to the nearest one hundred thousand?\nAnswer: 28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 less than 772315?\nAnswer: 772314.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 3*c - 80, 0 = -s - 4*c + 80. Suppose -f - f = -12. Suppose -2*q - 5*k = -s, -180 = -4*q - f*k + k. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 88 (c) -5 (d) -34\/7 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9194403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -3*y, 4*p = -y + 6*p. Let f be (80\/(-140))\/(y\/14). Suppose 0 = -f*n + 73 + 51. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/42*28\/(-18)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -50*h**3 - 7*h**2 - 145*h. Let d(s) = -35*s**3 - 5*s**2 - 96*s. Determine -7*d(a) + 5*o(a).\nAnswer: -5*a**3 - 53*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6166 != 142481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 20. Let z be (-2)\/(-5) + 4\/y. Suppose -f = -z*f + p - 26, 4*p + 72 = 4*f. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2556067 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4}. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 16 - 4 - (-1 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 10. What is the units digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/2777 + 2753\/11108. What is k in 3\/4*k**2 + 1\/4*k**4 + 0 - s*k - 3\/4*k**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 11. Let f be t(-15). Let m = f + -28. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 19 = 10*m - 7*m, 0 = 2*b - 3*m + 11. Calculate the remainder when 74 is divided by (-4)\/14 + ((-4736)\/(-56))\/b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 + 0)\/(14\/(-7)). Let b(q) be the third derivative of q**4\/24 - q**3\/2 + 2*q**2. What is the units digit of b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -43248.\nAnswer: -4324.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/5823 and 8881*(-6)\/23292 + 1 + 4\/3?\nAnswer: 11646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2881 rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or 163?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*k + 2, 5*f - 14 - 8 = -4*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/7)*d)\/(d**(2\/3)*d*d*d))\/(d**(-1))**(4\/29))**(-49\/3) assuming d is positive.\nAnswer: d**(7735\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - z**2 - 2*z - 8. Let k be t(-2). Let p(f) = f**3 - 7*f**2 + f - 5. Let g be p(7). Solve x - 4*l = -k, 20 = g*x + 4*l + l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2*x**3 + 4*x**3)*(4 + 0 - 1)*(5*x - 5*x - x**2).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19618331.99766 + 19618170. Let y = 83 - -79. Let l = h + y. Round l to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8749 is divided by 141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -852351492*h**3 - 27591*h - 3596 wrt h.\nAnswer: -5114108952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1024))\/(-6*sqrt(288)).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1\/(-20)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + -3*sqrt(936))\/((sqrt(2) - sqrt(200))*-2))**2.\nAnswer: 3757\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1932)\/230*120\/36?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.008687 and 3.\nAnswer: 3.026061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.169*0.2.\nAnswer: -0.0338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100111100001101101 - -11?\nAnswer: -101100111100001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -11. Let n = -0.03 - 0.27. What is the smallest value in 1\/4, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**3*y**3 - 11*n**3*y**2 - 161*n**2*y**3 + 2*y**3 - 6362*y**2 wrt y?\nAnswer: 48*n**3 - 966*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 569, 1154, 1757, 2384, 3041, 3734, 4469, 5252?\n\"Answer: z**3 + 3*z**2 + 569*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0 - 8 = 4*m, -2*q + m = -8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 0.7. Let d = 3.8 + y. Which is the closest to -1? (a) d (b) 5\/2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65.79 and 0.5?\nAnswer: 32.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + 52\/14. Suppose -3*i - 1555 = -y*z, -3*i - 360 = -z + 40. Suppose j + 4*j = z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*j + 4 + 9 = 0, 4*j = -5*k - 19. Put -5, 0.78, k in decreasing order.\nAnswer: 0.78, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 - 18)*(46*l**4 - 16*l**4 + 128*l**4).\nAnswer: -3002*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*n**2*w**2 + 6*n**2*w - 2*n**2 - 2 wrt w?\nAnswer: 24*n**2*w + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27940 - 27961.939. Let g = c + 22. Let m = 0.06417 - g. Round m to 4 decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 14. Let o(a) = -9*a + 48. Let l(x) = 4*o(x) - 11*t(x). Calculate l(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/20 - 3*l**3 + l**2 + 8. Let f(s) be the third derivative of -s**5\/20 + 295*s**2. Calculate p(f(z)).\nAnswer: -27*z**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:20 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.281?\nAnswer: -0.0562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -138 (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.3 at most 916023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*r + 18*r + 13*r - 52*r - 1 wrt r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**7\/280 - l**6\/4 + 63*l**5\/40 - 4*l**4 + 43*l**3\/8 + 217*l**2 + 2*l + 3. Factor t(v).\nAnswer: -3*(v - 1)**3*(v + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 + 8*b + 6. Let v(n) = -2*n**3 - 7*n**2 + 3*n - 10. Let y be v(-4). What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 20. Suppose 0 = 5*y - i + 10 + 11, 2*i = 2*y + 2. Let n be o(y). Let q(f) = -135*f - 55. Let v(p) = -5*p - 2. Calculate n*v(a) + 2*q(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -2, -5, -4, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = -5*k, -4*k + 5*w + 2 = 27 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195*s**4 + 357 wrt s.\nAnswer: -780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**6 - n**5 + 2034*n**4 - n**2 + 5391 wrt n?\nAnswer: -840*n**3 - 60*n**2 + 48816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1580a9 (base 12) to base 2.\nAnswer: 1011001011110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:25 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 14*i + 5 - 10*i + 39*i as g*i + o and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 + 7*m. Let i be n(-7). Suppose 0 = -i*f + 5*f - 25. Solve f*y - 3*y - 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = 3*w, -d = 4*w - 6*w + 1. Suppose -d*u - 30 = -5*n, 0*u + u - 18 = -2*n. Suppose n = 4*z - 8. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(270)*3)\/sqrt(6) + -1*(-4 + -3 + sqrt(320)))**2 + -4.\nAnswer: 18*sqrt(5) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 4, 412, -1\/2, -17, 1\/4 in increasing order.\nAnswer: -17, -1\/2, 0.01, 1\/4, 4, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6195350 + -3?\nAnswer: 6195347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + d + 1. What is f(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/720 and -65\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18272766011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 3 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3730338*r**4 + 3386113?\nAnswer: 14921352*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/15650 or -1?\nAnswer: 1\/15650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - w**3 - 5 + 5.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*n + 12939 = -91181. Calculate the smallest common multiple of n and 240.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2)**2 + (sqrt(10)\/sqrt(5))**2 + -3 + -2.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {r: 5, t: 1, i: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 - 5*r - 2. Let k = -15 - -19. Calculate the remainder when 27 is divided by j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g + 9. Let r(w) = 79*w + 135. Let l(h) = -15*f(h) + r(h). Let x(a) = -4*a + 10. Calculate x(l(v)).\nAnswer: -76*v + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p - 9. Suppose -5 = -5*f + 20. Is o(f) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v + 10. What is the remainder when s(6) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**3 - 17*x**3 + 6*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 656 divided by 2.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -4, 0.141, -6\/7, 0.2, 4.\nAnswer: -4, -6\/7, 0.141, 0.2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*v**2 + 29*v + 496?\nAnswer: -16*v + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -88. Let b(z) = 0*z + 7 + 6*z + 11 + 7*z**2. Let o be b(-7). What is the highest common divisor of o and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 33*p + 646. Calculate s(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {a: 8, w: 2, u: 9}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 187*n = 27*n + 5536 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14534240 - -2?\nAnswer: 14534242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 + 1175*j**2 + 31057*j + 202969 = 0.\nAnswer: -13, 1201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 398.7864 to zero dps.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 278594770 from 5.\nAnswer: -278594765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - 5*j**2 + 1. Let b(x) = -4*x**3 - 6*x**2 - x. Let p(z) = 2*b(z) - 3*t(z). Give p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 881.1244t?\nAnswer: 881124.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 3, j: 3}. Give prob of sequence je.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49757640)\/270 - 12\/27. What are the prime factors of i\/(-96) - (-2)\/(-3)?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33759 by 3.\nAnswer: -11253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.564 - -19380.\nAnswer: 19367.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*l**2 - 49072*l + 88473082 with respect to l.\nAnswer: -494*l - 49072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311 = 662*p - 685*p. Suppose 2*m - 7*r + 2*r - 466 = 0, 0 = m + 2*r - 224. Calculate the highest common divisor of p and m.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 682, -52, 2\/7?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 8*x**2 + 3*x - 28. Let o be s(-7). Solve -24*q + 2*q + 4*q = o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 586608.557 to the nearest 100.\nAnswer: 586600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330*g - 330*g + 0*g**2 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 113029 divided by -16147\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -7, 2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210002 - -1010022?\nAnswer: -122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2176801 = -3*h + s, 3*s - 142163 + 867760 = -h. Round h to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**3\/2 - 6*r. Suppose -5*k = 2*j - 19, -4*k + 9*k - 15 = 0. Let q(g) = -2*g + 2*g + 2*g**j. Determine q(s(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -2330?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 55*v - 69*v + 10*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119062698 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 14*l - 939. What is c(68)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-52)\/12*11\/(-33) and -93\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1253 from -0.2.\nAnswer: -1253.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 71648 = -0*w. Let f = -107581\/12 - w. Calculate the common denominator of (-2)\/11 - (-766)\/(-264) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 8*r + 134 - 138, -26 = -5*d + 3*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u - 67. Give a(-10).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6595515nm to meters.\nAnswer: 0.0000000006595515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*w**4 - 39*b*w**2 - b*w + 2*b + w**4 - 9*w + 28 wrt w.\nAnswer: 12*b*w**2 - 78*b + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266.97 + -273. Let k = i + 0.03. Let s = k + 6. Is -0.1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:41 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*h = 142*h + 15. Let z(u) = -u**2 + u + 7. Calculate z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -0.05 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 2 y when four letters picked without replacement from {l: 2, y: 2, i: 3, f: 6, o: 6}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*r = -0*b - 445, -159 = -b + 2*r. What are the prime factors of b?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/255415 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25 - -25) + -4 + 0 + 0. Let l(u) = -u**3 - 64*u**2 - 125*u - 60. Let v be l(-62). Sort 9, v, k in decreasing order.\nAnswer: 9, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, -6 in increasing order.\nAnswer: -6, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11 = -1. Let x be 4\/(-10) + c\/(-5). Find the common denominator of ((-2384)\/24)\/(-12 - x) and -13\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -3*sqrt(4800)*2) + -2)**2.\nAnswer: 11520*sqrt(3) + 1555264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 42. Let l be k(-18). Suppose -l = -10*o + 7*o. Solve 4*v = 5*w + 18 + 13, o*w + 5*v = 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324658 and 542.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 128*g**3 - 77*g**2 + 21*g + 7. Let z(b) = -64*b**3 + 38*b**2 - 9*b - 3. Let u(r) = 3*n(r) + 7*z(r). Find the third derivative of u(f) wrt f.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btb when three letters picked without replacement from {v: 8, o: 3, z: 3, g: 1, b: 2, t: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 13960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 261*(-47)\/(-423) + 1598\/(-55).\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -581 + 1158 - 577 - 21*v. Let t(u) = u**3 + 6*u**2 + 4*u + 1. Let r be t(-5). Let j(f) = 5*f. Determine r*s(c) + 26*j(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = f. Let w be 1\/f*2*1. Let n = 28\/101 - -62\/505. Sort n, w, -5 in ascending order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8401891769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose 4*s = -2*s + 90. Suppose -u + 2*f = -s, -5*u + k*f - f = -99. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 10 - (7 + 0 + 1) - 32.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111101101110011001 (base 2) to base 11.\nAnswer: 1693529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 403 - 106. Let r = -296.6 + g. Sort 33, r, 1\/3 in ascending order.\nAnswer: 1\/3, r, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 5*(1*(sqrt(175))**2 - (sqrt(42)\/(sqrt(6)*1) + sqrt(7)))).\nAnswer: -877 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 8*c + 3. Suppose 0 = -5*l + 12 + 28. Let h be g(l). Suppose -h*b - 39 = -4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -3, 5 in descending order.\nAnswer: 212, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 449 - 169. Solve -b + m = -5*j - 2*b, 4*j + 16 = -2*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4648.766 rounded to one decimal place?\nAnswer: -4648.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367038220?\nAnswer: 2, 5, 61, 300851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10909 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47392920, 94785834, 142178748, 189571662?\n\"Answer: 47392914*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - k = -132 - 285, -342 = -4*j - 5*k. Let x = j + -42. Suppose -11*w + x = -14. Solve -4*p + 7*n = 3*n, -w*p = -4*n - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1570*f*o*q*w + f*o*w + 281*f*o + o*q*w - 71*o*q - o - 3*q*w - 50 wrt f?\nAnswer: 1570*o*q*w + o*w + 281*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Let t(x) = -3*x + 1. Let s = -1 + 2. Suppose h + 0*r + 15 = -4*r, -16 = 4*r. Determine h*a(w) + s*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3695*s**4 + 136*s**2 - 130*s wrt s.\nAnswer: 88680*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 22.6, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 30*l - 98. Suppose 7130*d - 63 = 7151*d. Determine g(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3, 0.18, -1\/5, -11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 4 (b) 0.3 (c) -9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1700 = -0*y - 5*r, 864 = 2*y + r. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40767*r**3 + 1569525?\nAnswer: -122301*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 g when four letters picked without replacement from jnggllljlg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s + 100. Give h(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 13*f + 11. Let v be k(14). Let q(c) = 2*c**2 - c - 2. Let w be q(2). Is 2\/((w\/v)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*l**6 - 770*l**5 - 2*l**2 - 37486*l wrt l?\nAnswer: -9120*l**3 - 46200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.015108 to 2 decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10986, 21985, 32984, 43983?\nAnswer: 54982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (90\/(-2) - -5)*-1. Suppose f - 69 = -h. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b + 3. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p + 14. Let o(m) = -m + 1. Let w(t) = -i(t) + o(t). Let n(v) be the second derivative of 5*v**3\/6 + 3*v**2 - 3*v. Calculate -9*n(s) - 4*w(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 - 31 - (-21 + 50)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(9*4\/72)\/(4\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 519, 817, 1143, 1497, 1879?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.792219l to millilitres.\nAnswer: 792.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49945427, 49945426, 49945425, 49945424, 49945423, 49945422?\nAnswer: 49945421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(19*p + 14*p - 36*p) + (-2*p + 3*p + p)*(-2 + 2 + 1) + (0 + 3 - 2)*(-3 + 3 + 7*p) - 1 - p + 1.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1617)*-2)\/(sqrt(539)*3).\nAnswer: -2*sqrt(3)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*x**2 - x + 28 wrt x?\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13 + 12 - 2*c**2 - 25. Let x(m) be the third derivative of -m**4\/12 + m**2. Determine i(x(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n. What is h(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 6*m - m**3)*(-3*m - 3 + 3) + 1817 + 46*m**4 - 1817.\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619225?\nAnswer: 5, 239, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 12. Suppose 3*c + 3*d - 10 = 8, u*c + 3*d - 23 = 0. What is the second biggest value in -2\/13, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 6 = 3*v, 206*v - 204*v = -6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.16. Put v, 2\/15, 1 in decreasing order.\nAnswer: 1, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 64 - (-1 - (-2 - -5))) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90287 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 201834136 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**3\/3 + 3*b**2 - 2*b. What is the tens digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1788870*g**2*v**2 - 58*g**2*v - 263*g*v - 33*g - 2*v**3 + v - 2 wrt v.\nAnswer: 3577740*g**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d + 1. Let p(h) = h**3 - 7*h**2 + 8*h - 4. Let b be p(6). Suppose -5*n = b - 38. Calculate the least common multiple of n and f(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250 - -462. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2))**(-8\/3)*(d\/(d\/(d\/d**(12\/11))))**30 assuming d is positive.\nAnswer: d**(-74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose 3*t + 8*t = 132. Suppose -2 = 10*m - t. What is the nearest to -2 in 0.4, m, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 11*h - 9*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -91, -89, -87, -85?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 8 + 3*f - 17 + (-3 + 4 - 3)*(-f - f + 3*f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996185 is divided by 2354.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgxoxgogohgxzoggz. What is prob of sequence xx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -57*(-6)\/(-9). Suppose q - 4*q = -2*n + p, 0 = -3*n - 5*q + 46. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15139, -14737, -14065, -13123?\n\"Answer: 135*f**2 - 3*f - 15271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -149*z - 286. What is v(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2)**(-41))**(4\/9) assuming l is positive.\nAnswer: l**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, g: 7, m: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1700, 1\/20, 799?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4063 - -4067. Suppose 4*t - 25 + 5 = 0. Calculate the lowest common multiple of k and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/21)\/((-2)\/6). Find the second derivative of -9*q**n + 3*q**2 + 5*q**2 + 4*q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-12))\/((33\/630)\/11). What is the tens digit of (-6*z\/(-75))\/((-3)\/(-75))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 12 = -4*c, 4*c - 12 = -i - 0. Let t(x) = 2*x + 2. What are the prime factors of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 7*t - 15*t + 7*t - 16*t + t - 16*t.\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 143 (c) -0.3 (d) -3\/4 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 70. Let r(f) = -f**3 + 3*f. Let k be r(5). Is 13 a factor of o*(k\/(-24) - 7\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - o. Let m(f) = -7259*f - 2. Give x(m(a)).\nAnswer: -52693081*a**2 - 21777*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 25*u - 34.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h - 10*h - 395*h - 146*h - 215*h.\nAnswer: -816*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-28*(-132)\/96)*7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 4, -126 in decreasing order.\nAnswer: 13, 4, 1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -19*b**5\/5 + 26*b**2 + b - 264. What is the second derivative of q(d) wrt d?\nAnswer: -228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -5. Let c = -10 - k. Let n = c - 2. What is the second biggest value in n, 2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/96*-6)\/((-1)\/(-1732)). What is the second derivative of z + 7*g - 9*g**3 + 4*g**2 + 0*g - 437 wrt g?\nAnswer: -54*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 111. Suppose -94*b + 302 - 114 = 0. Put b, w, 3 in decreasing order.\nAnswer: w, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665?\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -610*g**2 + 7283*g + 453. What is d(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/57*40 - 2. Put 7, l, -1\/7, 0 in descending order.\nAnswer: 7, l, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 - 678*x**3 - 5901*x**2 + 639678*x + 644904 = 0.\nAnswer: -212, -39, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 41. Suppose -c = 3*h - 15, -c - 2*h = -0*h - a. What is the least common multiple of 2 and 1\/3 - (-10)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 58*n**2 - n - 54. Let r be d(-58). Solve 4*y = 0, 0 = -5*x + r*y - 1 - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 10*u**2 + 9*u + 3. Let f be j(-9). Suppose f = 3*v - 0. What is the greatest common divisor of 2 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:40 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:54 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423473 is divided by 122.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914737 is divided by 530.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 152\/56 + 2\/7. Suppose 77 = 2*y + g. Suppose -4*n + y + 8 = -v, 5*v + 16 = n. What is the highest common divisor of 55 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161\/2 - -481\/6. Suppose 3*c = c. Let s be c - (-3 + 21\/9). What is the fourth smallest value in 1, 0.2, q, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2551687*p**2*x - 1888534*x wrt p.\nAnswer: 5103374*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*r - 19, r + 4*r + 2*y = 18. Let z = r - 6. Let w(t) be the second derivative of 4*t**3\/3 - t**2\/2 + 4*t. Determine w(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 6:33 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13494 + 1689900*o - 1689885*o + 13494.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -37, 211, 0, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59 - -57809.\nAnswer: 57808.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71.01786 - -71. What is m rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2175609.8302 and -139?\nAnswer: 2175748.8302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 1, k: 6, d: 2}. Give prob of sequence kdud.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15067, 30441, 46291, 62785, 80091, 98377, 117811?\nAnswer: 138561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*n - 40 = 0, b - 9 = -3*n + 4*n. Suppose 8 = 4*g + 4*v, -6*v - 3 = -b*g - 11*v. Solve 0 = -5*f + 13 + g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 - 0)) + (14 - 22)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.041 and -0.01772979?\nAnswer: 0.00072692139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 56. Suppose 4*n + 2*c = -2, c = -n + 4*c - 11. Let h be -3*n\/(-6) + 4. Calculate the highest common divisor of h and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 168 = 2352. Suppose -12*c = -112 - 188. What is the remainder when q is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/77 and 19\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 + -4.3. Let k = -2 + x. What is the third biggest value in 4, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 5*n**2 - 5*n. Suppose -166 = -56*v + 170. Let c(j) = j**3 + 6*j**2 + 6*j. Determine v*g(r) + 5*c(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-5 - (-27 - -26))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913052 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008)*2 + -1)*5)**2.\nAnswer: -10800*sqrt(7) + 907425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -79. Solve 3*h - 2 = z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.1. Let r = -4 + 6. Let c = 1598 + -1597.9. What is the nearest to r in a, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -8976109.\nAnswer: -8976113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r - 6. Let j(u) = -17*u - 25. What is 2*j(l) - 9*m(l)?\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + 2*v)*(4 - 5 + 3) + (5 + 0 - 6)*(-2*v - 2*v + 5*v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 5}. What is prob of sequence aa?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2324.288 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.13866403 and -16.\nAnswer: 3.13866403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2716 or -2616?\nAnswer: -2716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 + -8 - (1 - -22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166\/2*9302\/386033.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 27*-7*1. Suppose 2*l - j = -l. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Let q(g) = 1 - n + 2. Let j(o) = o**2 + 10*o + 32. Let s be j(-6). Let f(i) = -2*i - 10. Calculate s*q(u) - f(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10 - 10 - l**2. Let f(p) be the second derivative of -13*p**3\/6 + 4*p. Determine k(f(j)).\nAnswer: -169*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9.57 (b) -28 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 1 = -4*w + b, -5*b + 5 = 2*w. Suppose 4*f - 3*h - 80 = 0, f + 0*h + 4*h - 20 = w. Solve 3*z - 7*z = 5*c - f, -c = -2*z - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, i: 9}. What is prob of sequence iq?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*s = 5*t - 770, -3*t = 4*s - 462. Suppose -12*u + 5*u + t = 0. Suppose u*f - 24*f = -32. What is the remainder when 46 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30\/31 + -151\/124. What is the fourth biggest value in -0.2, b, -2552, 2?\nAnswer: -2552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -672, 14, 1158, 2760?\n\"Answer: 229*f**2 - f - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 2*o - 1. Let g be l(2). Let z(h) = -8*h + 14. Let b be z(-10). Let f(j) = b - 3*j - 94 + 5*j. Calculate f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Suppose -1 + 0 = d. Are d and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -76. Let t = 317 + 94. Suppose 0 = z*k - 61*k - t. List the prime factors of k.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9)\/((-530)\/(-534) - 1). Let x = -82 - k. Suppose 5*n - 1 = l + x, n - 10 = -4*l. Let q(s) = -s**3 + 3*s**2 - 3*s + 3. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)\/n)**(-1\/13)*(n*n*n**(-13)*n*n)\/(n\/(n*n*n\/n**(7\/6)*n*n*n)))**10 assuming n is positive.\nAnswer: n**(-655\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27854, 111437, 250740, 445763, 696506, 1002969, 1365152?\nAnswer: 1783055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*y + 15 + 5, -5*y + 21 = -2*l. Suppose -2*x - 2*a = -40, -l*x + 7*x + 2*a = 97. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -8*v**2 + 60. Let h(b) be the second derivative of 0*b**2 - 1\/3*b**3 + 0 + 3*b. Calculate h(f(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/11 (b) -2\/399 (c) 4 (d) 2\/7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -202040\/23 (b) -3\/10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4715 and 343735.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, -4 in decreasing order.\nAnswer: 24, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.1, -18, 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13392\/10881*(10\/(-8) + 1)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(75\/24)*-10. Let m be 330\/54 - (-1)\/(-9). Let s be (-2*(1 + 0))\/(-3 - -2). Solve -m*o + w = -s*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-14) + 5259\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.9 + 41. Let k = -42.85 + 42.96. Which is the closest to f? (a) k (b) 2\/3 (c) -8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 22014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 796090 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 6*v**2 - 3*v**2 - 8*v + 13.\nAnswer: (v - 2)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152994*l**3 - 73*l**2 - 4*l + 73?\nAnswer: -917964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2387*w**4 + 11*w**2 + 29*w.\nAnswer: -57288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 22. Suppose u*m - 108000000 = 17*m. Round m to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 298089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - z - 10*z**4 + 8*z**4 + 3*z**2 + 1 to s*z + d*z**2 + k*z**4 + h*z**3 + q and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, g: 1, v: 1, m: 1}. What is prob of sequence vm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1230*w**2 + 2003*w**2 + 261*w**3 - 2867*w**2 wrt w?\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18982 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1507359, -2.5, 0.2 in increasing order.\nAnswer: -1507359, -3, -2.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 + 149*d - 74*d - 75*d.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by (8\/10)\/((-4)\/(-90))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4663 + 4665. Let h(l) = 5*l - 1. Let f(g) = -g - 1. Let u(d) = -2. Let m(v) = f(v) - u(v). What is c*h(i) + 2*m(i)?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, m: 5}. What is prob of picking 2 m and 1 v?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.01082m in millimeters?\nAnswer: 94010.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*k - 992*k + 7725 = 0 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0*c**2 + 0 - 35\/12*c**4 - 30*c - 20\/3*c**3 + 1\/4*c**5. Factor v(x).\nAnswer: 5*x*(x - 8)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 12. Suppose 13*p + 13 = -r. Let g(u) = 2*u**2 + 3*u. Determine g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - (-15)\/15)*(-2)\/(-7) - -5. Solve -4*o + 3*i - 3 = 0, 12*i - 15*i + b = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3) + (-33)\/3. Let y = d - -6. Is 4 a factor of (-219)\/(-12) - 3\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a724 - -b?\nAnswer: a731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 79 - 87 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*y + 46, 2*a = -0*a + y + 18. Let u be 39\/130 - (-3)\/(-10). Suppose -4*t = 2*k - 0*k - 28, k - 24 = -4*t. Solve k*z - 6 - a = u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3330121 - 200?\nAnswer: -3330321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 2:38 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66166 is divided by 16540.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 106010630?\nAnswer: 21202126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 180, 270?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65028, 94533, 124038, 153543, 183048, 212553?\n\"Answer: 29505*k + 35523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -32. What is the remainder when o is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62028 - 65241 = 119*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2)\/(1*-6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515 + 22387 = 629*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f78 (base 16) in base 13?\nAnswer: 751b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = -2*l + 260, 3*c = 5*l - 619. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 2821.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/5040 + m**6\/120 - m**5\/20 + 17*m**2. Let n(r) be the third derivative of k(r). What is n(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 206*x + 6. What is the hundreds digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1384 - 33?\nAnswer: -13b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**4 - 91305*g**3 - 12246785*g**2 - 27138870*g - 6020720 = 0. What is g?\nAnswer: -4427, -136, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184713*v**2 + 151*v - 626?\nAnswer: -369426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*-1*-4)\/sqrt(11))\/((sqrt(40) - -2*sqrt(3240))\/sqrt(8)).\nAnswer: 4*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17516327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.9, -3\/7, -297, -27?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, -5, -3, -2, -16 in increasing order.\nAnswer: -168, -16, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-6))\/(6\/9). Suppose 3 = -d + 7. What is the second derivative of -d*g**5 + g - 4*g**q + 7*g wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178716601 and 644.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1688*h - 1681*h + 3668*h + 20332 for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 24 = 2*y, 2*y + h = 24. Calculate the remainder when 71 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 700\/163?\nAnswer: 700\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18e (base 16) in base 6?\nAnswer: -1502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9263371 plus -0.189013?\nAnswer: -9263371.189013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) 5 (c) 0.7 (d) -16\/5 (e) 4\/99 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 2:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (0 - -1)\/((-2)\/(-14)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*c = 6*c - 10, 4*i + c - 12 = 0. Let k(j) be the first derivative of -i*j**2 + 0*j - 1\/3*j**3 - 2. What is the second derivative of k(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j**2 + 2*j - 1. Let s be q(-2). Let p be (s*1)\/((-3)\/(-2)). Suppose 0 = 45*f + 22*f - 134. Solve -f*a - p = -7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**2 - 93*p - 1669. Give g(-17).\nAnswer: -2400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 23*t**4\/4 - t**3\/3 - 12*t**2 - 2*t + 12. Suppose 10*c = 8*c + 10. Is s(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58174 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: Calculate the common denominator of -57\/220 and (21\/(-300))\/(532\/98 + 3\/(-7)).\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/243)\/(3\/(-99)))\/(186\/(-1674)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208e (base 15) to base 11.\nAnswer: 5199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**2. Suppose 4*w - 36 = h - 2*h, -5*w = -5*h + 155. Let d(i) = 30*i**2 + 24*i**2 + h*i**2 - 87*i**2. Determine d(b(r)).\nAnswer: -100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -5*a + 522. Suppose -8 = -3*j + a. Calculate the greatest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1382*f - 1368*f = 0. Suppose -z = -2*z + 132. Suppose 0 = -2*d - f*d + z. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64651613*r**3*x**2 - 5*r**3*x + 56*r - 16706*x - 3 wrt x?\nAnswer: -129303226*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3312 and 25452?\nAnswer: 2341584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 9\/15)*471\/36 and 17\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/13 - 6*c**2\/13 + 4*c\/13 = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84926 in 4\/7, 4\/3, -0.1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.2858 times 0.015\nAnswer: 0.019287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/(-312) - 0)*(-750)\/75 and 51\/10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -448.35267 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23979 and 5?\nAnswer: 119895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from cchcccccchchhhcccccc.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 + 4. Let x = 12 - 12. Let j be q(x). Solve -j*w + 5 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2996*d + 1345*d + 1324*d.\nAnswer: -327*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 5*p - 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -172*4\/88.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.09 - 0.09. Let g(u) = 2*u**2 + 249*u + 242. Let z be g(-1). What is the fourth biggest value in y, z, -4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -356*w**2. Let d(y) = -158*y. Determine m(d(c)).\nAnswer: -8887184*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91290087 and -1?\nAnswer: -91290087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/6 + 2*d**2 - 823*d\/6 - 425 = 0 for d.\nAnswer: -34, -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1559*w = -1555*w + 36, 11 = 4*h + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 - 183*l - 70. Let q be f(37). Let n(t) = t**2 - 4*t. Let i be n(4). Sort -0.3, i, q in decreasing order.\nAnswer: q, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -1\/6, 3 in increasing order.\nAnswer: -0.2, -1\/6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 4:41 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86790 and 1159830?\nAnswer: 12758130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c**3. Let b(s) = -s**3 + 4*s**2 + 7*s + 10. Let q be b(5). Let j(r) = -17*r**3 + 2*r**3 + 10*r**3. Determine q*j(k) + 6*p(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -427, -404, -379, -352, -323, -292?\n\"Answer: d**2 + 20*d - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473406 is divided by 118349.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(10)\/sqrt(2) + 0) - (-1 + (sqrt(80)*1)**2)).\nAnswer: -78 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18457846.\nAnswer: 2, 11, 838993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -673 + 1726. Suppose 0 = -6*l + q + 45. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*o + 38, -545*o + 541*o - 2*k = -30 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7547\/11 - -687. Factor -4\/11 + x*h + 14\/11*h**2.\nAnswer: 2*(h + 1)*(7*h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3 - 8340*b**2 - 3781314*b - 455335344 = 0.\nAnswer: -3672, -249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 14. Let f be g(12). Suppose n - 3 - f = 0. Solve 3*d + 0*d - 6 = -u, n*d - 4*u = 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 6*l**2 - 13*l - 14. Let f be p(8). Which is the second biggest value? (a) -1 (b) f (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/3 - 1980*z**2 + 784080*z - 103498560.\nAnswer: 5*(z - 396)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-2))\/((-26055)\/772).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose -2*a - 3*c + 144 = 2*c, -o*a = 2*c - 227. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 + 4*q - 16. Let p be s(-7). Suppose p*l = -5 + 10. Let h = 2\/9 + -5\/9. Which is the closest to l? (a) 5 (b) h (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/28)\/(((-5)\/(-10))\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/84 + 2476*q**3\/21 + 3065288*q**2\/7 - 41*q - 94. Factor i(m).\nAnswer: (m + 2476)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92\/63 - -11\/7. Let n(l) be the second derivative of 1\/18*l**4 + 0 + 3*l - 1\/30*l**5 - 1\/3*l**2 + j*l**3. Determine m so that n(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let v(o) be the third derivative of -1\/2*o**3 + 6*o + 0 + 5\/24*o**4 - 8*o**2. Calculate v(b(y)).\nAnswer: 10*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quyjzqzqqq. Give prob of sequence qjz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*m - 10*m. Let n(f) = f**2 + 128*f + 1281. What is the remainder when n(-118) is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -41. Let l = -19.57 - 6.43. Let f = l - j. Is -4 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/3 + 17*m**2\/3 - 21*m - 27 = 0. What is m?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/(-3)*(-606)\/(-303).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let d(m) be the second derivative of -m**3\/6 - 3*m**2 - 828*m. Calculate 2*c(n) - d(n).\nAnswer: 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*d + 21 = -322*d + 53 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtekh. Give prob of picking 1 h, 1 k, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.06 + -0.06. Let j = 0.01 + 5.99. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 l when three letters picked without replacement from jjozjjlujujujzu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/6, 135, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/7, 0, 1\/4 in descending order.\nAnswer: 5, 2\/7, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 - 20. What is the remainder when 46 is divided by k(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - h - 3. Determine n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177772 divided by -907.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -177*o + 15*o + 31*o + 48*o. Let b(n) = -n - 9. Give m(b(p)).\nAnswer: 83*p + 747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4 + g - 9*g + 7*g. Calculate b(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7643 - -7646. Factor j*v**2 - 15\/2*v + 3\/2*v**5 + 3 - 6*v**4 + 6*v**3.\nAnswer: 3*(v - 2)*(v - 1)**3*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1766 - 1763. Sort -4, 4, 65, t.\nAnswer: -4, t, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9726*n**3 + 27988*n**2 - 886530176*n wrt n?\nAnswer: -58356*n + 55976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -203*r**2 + 5*r. Let j(c) = 8424*c**2 - 208*c. Let w(s) = 208*i(s) + 5*j(s). Let v(x) = -8*x. Calculate v(w(f)).\nAnswer: 832*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 166610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(192) + 4 + sqrt(3) + sqrt(27)*-3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127509270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84.929 - 85. Let r = -0.016 - o. Let l = -0.105 - r. Round l to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (sqrt(3) + 0 + 3 + sqrt(3)*-1*1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 3 (c) 1\/15 (d) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -18442 + 9204 - a**2 - 17*a + 9219 in the form z*a**2 + w + t*a and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -32152\/21, 3\/7, 4?\nAnswer: -32152\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4cd6cc (base 15) to base 14\nAnswer: -6c0c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1005388, -1005294, -1005138, -1004920?\nAnswer: -1004640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 63.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 66*n**2 - 105*n - 1038. List the prime factors of z(-9).\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 - 2*f**2 + 2*f - 1. Let b = -6 + 4. Let i be (9\/b - -4)*-2. Let w be n(i). Solve -w*o = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - (9 - -1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30023 (base 4) in base 12?\nAnswer: -54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 2 + 2*b**3 + b**2 - 4. Let n(f) = -3*f**3 + f**2 + 4. Suppose 0*j - 5 = -j. What is j*l(k) + 3*n(k)?\nAnswer: k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4\/5 - 108*u**3\/5 - 60*u**2 - 292*u\/5 - 96\/5.\nAnswer: -4*(u + 1)**3*(u + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12851 and 9514.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73800 = -335*d + 2795*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13*x - 8 = -12*x, -2*x = 3*f - 4. Suppose 3*c - 4 + 44 = 5*w, 32 = f*w - 3*c. Calculate the greatest common factor of w and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 6. Let h(q) = 1. Let m(g) = 12*h(g) + 2*w(g). Let z be ((-609)\/4)\/(-3) - (-2)\/8. Let i(s) = -46*s + 112*s - z*s. What is i(m(k))?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-28)*8\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.46864ml?\nAnswer: 0.03746864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956116 is divided by 919?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4724277 (base 9) to base 12\nAnswer: a32981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 12. Suppose h*d - 51 = m, d = 6*d - m - 65. Suppose -5*r + 11 + d = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*y - 41517981 - 71582015, 2*y - 5*m = 75400010. Round y to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 14492?\nAnswer: -53\/14492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 70612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14603401 - 5?\nAnswer: 14603363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 1. Let a be d(5). Let r be 1 + a\/5 - 1705\/(-275). Solve 5*o + 9 = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvz when three letters picked without replacement from {v: 2, u: 4, z: 4, m: 5, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 26*z**2 + 139*z - 93. What is w(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.067.\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16352, -19 in decreasing order.\nAnswer: 16352, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1367075499\/54352 + -44297\/10191. Let r = -25158 - x. Find the common denominator of r and 2\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 5. What is t(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(7\/11)*s**(2\/9)*s*s\/(s*s**(2\/5)))\/((s\/((s*(s**(2\/19)\/s)\/s)\/s))\/s**4*(s**0)**(33\/2)) assuming s is positive.\nAnswer: s**(1648\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-2 - sqrt(108))\/sqrt(4))\/(sqrt(81)\/(sqrt(9)*-2)) - 3*(sqrt(75) + -2 + sqrt(75)*-3).\nAnswer: 6 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135630 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593943 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 121*w - 3562. Let j be t(-70). Solve -20*f + 28*f = -j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 9*u + 12. Calculate f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4469512 by 1117378.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Suppose -2*i - 10 = -o*i + 2*b, -5*i + 3*b + 21 = 0. Find the first derivative of -2*d - i + 4 - 2 wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(7\/3)\/((-24)\/72)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4133, 7.46.\nAnswer: -5, 7.46, 4133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 409, 614, 819, 1024?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 3 = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:52 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - z - 53, 0 = 3*m + 3*z + 48 - 15. Sort 6, m, 4.\nAnswer: m, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2 - 1, 5 = -h + 5*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -790, -14, 5, 3, -1, -5, -8 in ascending order.\nAnswer: -790, -14, -8, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(8\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**3 - 445 + 717 - 4*b**3)*(b + 0*b + b)*(2*b - 1 + 1).\nAnswer: -16*b**5 + 8*b**4 + 1088*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10203 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -3\/70*u**5 - 2 - 9*u + 3\/7*u**3 - 1\/7*u**4 + 0*u**2. Find a, given that r(a) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11023758.8 - 10376.82\nAnswer: 11013381.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33274.\nAnswer: 2, 127, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-320)\/(-30) + (-4)\/6. Let l(p) = p**2 - 8*p - 10. Let v be l(z). Solve v = 5*r - 5*i, i = 2*r + 3*r + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273*j**3 + 229.\nAnswer: -819*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -17577562971094?\nAnswer: -17577562971094.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2746 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a*a)\/a*a*a\/(a**(-1\/7)\/a)*((a\/a**(-3\/5))\/a*a)**(4\/35) assuming a is positive.\nAnswer: a**(1457\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -40*g**2 + 384*g + 77. What is v(3)?\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 267*s**2 + 30*s - 317. Let p(d) = 268*d**2 + 23*d - 316. Let a(x) = 3*c(x) - 4*p(x). Find the second derivative of a(g) wrt g.\nAnswer: -542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10727 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -23137264?\nAnswer: -23137273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 12*y**2 - 14*y - 10. Let m be t(-13). Let b(o) = -2*o**3 - 8*o + 3*o**3 + 0*o**m + 8*o**2 - 2*o**3. Determine b(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 44963040.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (2*sqrt(3564))**2) + -3*(sqrt(396) + -5).\nAnswer: -14241 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270 + 273. Let y(p) = 512 + n*p - 512. Let g(z) = -64*z. Calculate g(y(c)).\nAnswer: -192*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = l + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 18*o - 634*o**3 + 260*o**4 - 45*o**5 + 410*o**2 - 42*o - 40 - 36*o + 109*o**3 = 0.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 31. Suppose -35 + 7 = -2*z. Let b = i - z. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 4*t - 22 = 23*w, -4*w + 3*t - 17 = 0. Let u = -2 + 3. Let h be 2\/(-10) + 2\/10. Sort 2, h, w, u in decreasing order.\nAnswer: 2, u, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604297860 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 4437*z - 4429938.\nAnswer: 3*(z - 2162)*(z + 683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*-28 + 19. Which is the nearest to -3.38? (a) -3 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240108219 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*c - 51*c - 5. Sort -3, -4, c, 0 in descending order.\nAnswer: 0, -3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3054\/905 - -7013\/1810. Let 13\/2*q - q**2 - 5 - b*q**3 = 0. What is q?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 - 129 = 21*m - 486. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 37*x + 137. Let u be p(-33). Which is the fourth smallest value? (a) 3 (b) -35 (c) u (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -426 - -429. Solve 4*w - 20 = 3*m, -5*w = m + x*m + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l, 2*k = -3*l - 10. Let b(v) = v - 1. Let f(m) = -4*m + 6. Calculate k*b(h) - f(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 20. Suppose 10 = -2*s + y. Calculate the remainder when 11 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 34 + 73 = 5*u, -5*u - 301 = 3*h. List the prime factors of 17\/h - 710\/(-12).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11368 and 1160.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -614, -5, 0.04 in ascending order.\nAnswer: -614, -5, -1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1339 + 131. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2157812 = -24*f + 287067 + 2815177. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94200.7 decades?\nAnswer: 942007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*j - 70*j + 176*j)*(-2*j**2 - 3*j**2 + 3*j**2).\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/10080 - 13*k**5\/20 + 2*k**2 + 3. Let o(l) be the third derivative of x(l). Let f(s) = -2*s - 2. What is o(f(t))?\nAnswer: 8*t**2 + 16*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -39*l**4 - 2*l**2 + 2*l - 1. Let s(z) = z - 1. Let o(g) = -i(g) + s(g). Find the third derivative of o(m) wrt m.\nAnswer: 936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + -5 + -1015 + 1021. Let z(d) = d**3 - d**2 + 1. Let t(w) be the second derivative of w**4\/4 - 7*w**2\/2 + 3*w. Determine l*t(a) + 3*z(a).\nAnswer: 3*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1290\/(-135) - -10)\/((-3)\/(-54)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let l(j) = -15 - 75*j + 4 - 84*j + 179*j. Let m(v) = -11*v + 5. Let y(b) = 4*l(b) + 9*m(b). Give u(y(p)).\nAnswer: -38*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2386, 2379, 2372, 2365?\n\"Answer: -7*r + 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and (((-303)\/(-6))\/((-15)\/(-6)))\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4082 divide 104570165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**6*y**3 + v**6*y**2 - 502*v**2*y**3 wrt v.\nAnswer: -240*v**3*y**3 + 120*v**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j = -53*j - 2*b - 46, 0 = 3*j - 3*b - 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -53*o + 1003. Let f be v(19). Let w(d) = -5*d**2 - 17*d - 2. Calculate w(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3924 = -10*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a day in minutes?\nAnswer: 34080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73\/15 - 26\/5. Suppose 2*x = 3*r - 15, 2*r + 3*r + 2*x = 25. What is the nearest to 2\/9 in 2, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -2 - (-81)\/20. Let k(p) be the second derivative of 7\/12*p**4 + m*p**5 + 5\/2*p**2 + 4*p + p**3 + 0. Determine k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549.5525 months in decades?\nAnswer: 12.9129375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -586 + 938. Round i to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -1\/120*u**6 + 5\/6*u**3 + 0*u + 18*u**2 + 0*u**4 + 0 - 1\/12*u**5. Let f(a) = -a**2 + 3*a - 1. Let r be f(4). Determine t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 652.0917 millennia?\nAnswer: 652091.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6690, 6685, 6678, 6669, 6658, 6645, 6630?\n\"Answer: -y**2 - 2*y + 6693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*x + 397*x = 5*q - 29, -q = -x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 313 + -307. Find the third derivative of -10*h**5 + h**2 + 68*h**p + 14*h**6 + 0*h**5 + 10 - 10*h**2 + 8*h**5 wrt h.\nAnswer: 9840*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {b: 6, h: 3, v: 1, t: 3, z: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 10. Suppose -5*h + 3*b = -47, w*h + 3*b - 44 = -b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q - 25*q + 101 = 4*h, -51 = -4*q - h - 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17570.\nAnswer: 2, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426 and 1200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -365*s**3 + 25*s + 25. Let l(i) = -61*i**3 + 4*i + 4. Calculate -4*g(t) + 25*l(t).\nAnswer: -65*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 370103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -50. Suppose -229 = -4*t + 4*l - 57, d*t = l + 166. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-14 + 29))*(0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15214?\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 5. Let j be v(9). Suppose -28 = -j*o + 116. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.999844 decades?\nAnswer: 479.98128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*t**3 - 15 + 15)*(6 - 7 + 0*t - 4*t) to y*t + w*t**2 + a*t**3 + x + h*t**4 and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let p(u) = -5*u**2 + 4*u. Let a(g) = -4*g**2 + 3*g. Let m(d) = 4*a(d) - 3*p(d). Calculate v(m(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*o + 7, 2*o - 3*o + 25 = 4*i. Let k = -16 + 15. What is the smallest common multiple of ((-2)\/(-2) - k) + 6 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -0.07266542\nAnswer: 4.07266542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4985 is divided by 113.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2 + 42132*f - 800147 = 0.\nAnswer: 19, 42113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/30 - (1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m**(1\/5) assuming m is positive.\nAnswer: m**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -127*t**2 - 1294*t + 2587. Calculate y(2).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538730, 539572, 540414, 541256?\nAnswer: 542098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16951 (base 16) to base 7\nAnswer: 533446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*x + 172242 = 1492*x + 2354*x for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 8:38 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 + -134. Suppose 0 = -3*o - q - 94. Let u = 116 + o. Which is smaller: u or 42?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t - 87. Let j be r(5). Suppose -y + c = 3, 0 = -47*c + 50*c - 9. What is the closest to y in j, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494899505?\nAnswer: 5, 98979901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let g(n) = 721442*n. Give g(a(h)).\nAnswer: -721442*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5197640 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4.3, 5, 1, 16, -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 3*i**2 + i - 2. Suppose 2*m = 4*m. Let b be 0\/1 - (m + 3). What is g(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 5 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87\/481 - -1\/37. Let g = 0.5 + -0.6. Which is the nearest to g? (a) 3 (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-5))\/(-1*1\/(-10)). Suppose -2*h + 4*h + 2*j = 16, 2*h + j = 13. Solve -4*f + h = -u, 5*u - 2*u - 1 = q*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from hheheezzezhhhzezbhb?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3\/4*a - 1\/4*a**3 - 1\/2 + 0*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 10, 0.3, -0.9, 66?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i + 3*i)*(0 + 1 + 2)*(13 - 13 + 19*i**2) to the form a*i + q*i**2 + p + u*i**3 and give u.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3125680263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:04 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73121132.\nAnswer: 2, 7, 53, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -54, -83, -112?\n\"Answer: -29*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - 6 = -23*n. Let t be -1 + (-3 - n - 1). Let k be (-1)\/3*t - 14\/3. Sort 4, 6, k, -4 in ascending order.\nAnswer: k, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1476 = 5*k - 1482, 2*x - 22*k = 48 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d57c + -2?\nAnswer: -5d57e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23555686 divided by -3\nAnswer: 23555686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216531?\nAnswer: 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/25)\/w)\/w)\/w**(-15\/2))\/(w**11*w**(-16)*w) assuming w is positive.\nAnswer: w**(479\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 14002020114?\nAnswer: 14002020124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486466 is divided by 81047?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 541*v. Let q(g) = -2877*g. Determine m(q(y)).\nAnswer: -1556457*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 4*h - 4*h)*(9*h + 4*h + 25*h)*(2 - 2 - h).\nAnswer: -114*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 36. Let w be c(-16). Suppose 0 = -3*s - w*o + 2 + 5, -o - 14 = -s. Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -601507 + -2?\nAnswer: -601511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i + 127. Let x be c(11). What is the highest common divisor of x and 4182?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -98, -145, -192, -239, -286?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -36705.\nAnswer: -2\/7341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133?\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/567 - ((-409)\/63 + -3 + 50\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5606 + -100945\/18. Let v = -6\/1463 + -141875\/8778. Find the common denominator of d and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 209.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**6\/24 - 5*b**4\/24 - 2*b**2 - 1. Let j(h) be the second derivative of u(h). Find the second derivative of j(m) wrt m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 78 = 9*k. Let f be (2\/105*-9)\/(k\/(-40)). Are 2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314.7 + 26.3. Let t = w + -546. Let g = t - -205.00151. What is g rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 0.035, 0.3 in descending order.\nAnswer: 10, 0.3, 0.035, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 671877, 1343791, 2015705?\n\"Answer: 671914*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2897 - 64?\nAnswer: 2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -99184*d**2. Let z(n) = 3*n. Give z(q(l)).\nAnswer: -297552*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-4*(-5)\/20)\/1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 740 (base 13) to base 6\nAnswer: 5415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 106 = t - 2*p, 268 = 3*t - 5*p. Suppose 4*u - 4*w - 20 = 0, -2*w + t = 4*u + 49. Solve -3*q = -r - 6, u*q = -r + 3*q + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10785436*n**3 + 118*n**2 + 158064*n wrt n?\nAnswer: -64712616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*x + 5 + 17, -4*g - 3*x = -9. Suppose 0 = -g*h + 3*h. Solve s - 2*j - 12 = h, 2*s + 6 = -3*j + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*p**3 - 68*p**3 - 48*p**3 + 216*p + 170*p - 35*p**3 to c*p + y*p**2 + u + b*p**3 and give c.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 4. Let x be k(-6). Let w = 115 + x. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 956 + 641 - 739 + 2*v to y + c*v and give y.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 11:39 AM?\nAnswer: 351","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5))**(-8\/15))**(4\/7)\/((l*l*l\/(l\/(l\/(l*l**(2\/5))*l*l))*l)**8*(l\/((l*l**(-3)*l*l)\/l))\/l*l\/(l*l*l\/((l**(6\/5)\/l)\/l))*l) assuming l is positive.\nAnswer: l**(-18868\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 6431238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erge. Give prob of picking 2 g and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgbuug. Give prob of picking 1 b and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -60, -193, -440, -837, -1420, -2225?\nAnswer: -3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313360134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1389*c - 5625. Give m(-4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576248 is divided by 11100?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 355*n**2 + 8310*n + 21600.\nAnswer: -5*(n - 90)*(n + 3)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:23 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 3*b = 240. Suppose -c - b = 3*c. Let d = c - -8. Put -5, 5, d in ascending order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8224.3 + -8224. Let k = 63 + 38. Which is the nearest to -1\/2? (a) k (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2184 micrograms in kilograms?\nAnswer: 0.0000000052184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80895\/7 + 11552. Find the common denominator of 35\/2872 and h.\nAnswer: 20104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 78.3. Is r >= -3.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*c = 115*c - 780. What is the remainder when c is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2851.275g?\nAnswer: 2851275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/3 (b) -8.5 (c) 9 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1155 - -0.1915. Round l to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -17) + (5 - (4 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 833533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*h**5 - 175*h**4 + 5*h**3 - 581761*h**2.\nAnswer: 8340*h**2 - 4200*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/8)\/n**4)**(-10\/11))**8 assuming n is positive.\nAnswer: n**(290\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.028 - -5.028. What is the fourth smallest value in 1\/2, p, -1\/3, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -14 (b) 2 (c) 0.5 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) -2\/9 (c) -7 (d) 2\/9 (e) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 18. Let v be 51\/d + 2\/5. Which is the smallest value? (a) -1 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 3, -4, 6105, 2, 4 in increasing order.\nAnswer: -11, -4, -3, 2, 3, 4, 6105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-9))\/(904\/(-4068))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 19*t - 65. Let u be -12 + 15\/(90\/(-12)). Let x be f(u). Let d(k) = -k**3 + 5*k**2 + 2*k - 5. What is d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.185 times 10434?\nAnswer: 22798.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 4. Let h = 6 - 12. Calculate the lowest common multiple of (8 + -2)*(-4)\/(-3) and m(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + 2*o)*(-7*o + 16 - 16).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20*x + 1. Let c(m) = -4*m + 2*m + 2*m + m. Give f(c(i)).\nAnswer: 20*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7177774565104 - 2.3\nAnswer: 7177774565101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b + 17*b**3 - 13*b + 1. Let o be (6\/(-18))\/((-4)\/12). Calculate t(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b**2 - 4*b**2 - b**2. Let n(t) = -4*t**2 - 3*t - 3. Let h(p) = -17*p**2 - 13*p - 13. Let k(m) = -6*h(m) + 26*n(m). Determine k(w(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4587\/4571 or 0?\nAnswer: -4587\/4571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mrrrrmrrrmrrrm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l**3 - 2*l**3 - 11*l**2 + 4 + 3*l + 15*l**2. Is i(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -0.4 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 63?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -45, -95, -165?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*v**3 + 110*v**3 + 8*v**3 - 28*v**3.\nAnswer: 208*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/944 and 99\/76?\nAnswer: 17936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -911 divided by 55\nAnswer: -911\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p - 21*p - 9*p)*(-2 + 2 - 1) - 22*p + 20*p + 44*p + (-3*p + 3*p + 2*p)*(1 - 3 + 1) + 0 + p + 0.\nAnswer: 63*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 1. Let m be c(1). Let n be 1\/(-2) - 426\/m. Suppose -7*u + 3*u + 12 = 0, -3*u = k - n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -25, -30, -35, -40, -45?\n\"Answer: -5*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -39 in decreasing order.\nAnswer: 1, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 10\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 140*j**3 + j**2 - 2*j + 1. Let q be a(1). Suppose -2*x - q - 116 = 0. Let b = x + 607. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1041772474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -10*n + 221. Solve x - 8 = n*p - 7*p, 2*p + 3*x = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/26 and ((-6)\/15)\/(24\/(-1365)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2299))**2*6.\nAnswer: 13794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -9) + 2\/(-1). Let l be x\/(-21) - (-57)\/(-21). Let c = l - -3. Solve 2*v = -c*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r**4 - 4444*r**3 + 277132*r**2 + 47649244*r + 47367696 = 0.\nAnswer: -149, -111, -1, 716\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600 + -1596. Calculate the remainder when 489 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g**4 + 1204*g**3 - 18640*g**2 + 81900*g - 99000 = 0. What is g?\nAnswer: -165, 2, 5, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27996 and 5333238.\nAnswer: 10666476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 6. Let t be w(5). Let a be 1\/t - (-7)\/4. Suppose p + 5 = a*u, 5*p - 2 - 18 = -5*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14\/1838395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2481623\/6522 - -1\/3261. Which is bigger: n or -380?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 7. Suppose y - 6*y + 50 = 0. What is c(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - s. Let d be i(-1). Let p = 18 - d. Suppose 2*r + 2*j = p, -2*r + 1 + 13 = 3*j. Solve -c + 6 = r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451490 divided by -90298\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 - 72 - (-1 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 + 3*x + 3. Let q be f(3). Suppose p - q*o + 6 = -2*p, -14 = -5*p - o. What is the remainder when (p\/(-5))\/((-1)\/65) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 531382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**7\/c)*c*c*c**(6\/5))**22\/(c**(-3\/7)\/(c*c**(-7))*(c**(-2\/5))**(-4\/13)) assuming c is positive.\nAnswer: c**(-20609\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1610543*c**2 - 3004 + 6003 - 2999 + 1610531*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.5 + -15. Which is the nearest to 1? (a) 0 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422 - 418 + 1670 - 415 - 417 - 437*y to the form v + j*y and give j.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x = 9*x - 96. Let w(i) = 2*i**2 + 2*i - 6. Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11887 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 443904631*i**6 - 2527*i**2 - 29834.\nAnswer: 53268555720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (42 - 780\/16)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5072 + -5072. Let k(g) be the second derivative of i + 0*g**3 - 5*g**2 + 13\/20*g**5 + 0*g**4 - 22*g. What is the derivative of k(t) wrt t?\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17545*w - 25 = 17547*w - 3*h, 5*w - 2*h + 35 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z\/(z*(z*z\/z**(-2\/17))\/z)*z)*z\/z**(2\/11))\/(z**(-3)*z\/z**(-5\/2))*(z**(1\/4))**(2\/13)\/(z**(-8)*z**(-6)) assuming z is positive.\nAnswer: z**(32756\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -50. Suppose d - 4 = 5*k. Solve 2*v = k*m + 5, 0 = m - 2 + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158304 by -776.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -20. Let j(t) = -9*t**3 + 5*t + 6. Let w(n) = 8*n**3 - 4*n - 5. What is d*j(q) - 6*w(q)?\nAnswer: -3*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8775907 and 35\/1253701.\nAnswer: 8775907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1831259 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102532 + 102532 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)\/(v\/v**(-1)))**(-40)*(v**4\/(v*v**(-1\/3)))**(5\/7) assuming v is positive.\nAnswer: v**(5470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1128756+-117465\nAnswer: 1011291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18012, 36065, 54140, 72237, 90356, 108497, 126660?\n\"Answer: 11*z**2 + 18020*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19279 - -19484. What is the remainder when c is divided by 123?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7 + 4 - n - 11. Let x(a) = 6*a - 6. Let d(l) = -3*u(l) - x(l). What is d(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 - -1312200?\nAnswer: 1313302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, -24, -4, 4, 5, -28 in decreasing order.\nAnswer: 5, 4, -4, -24, -28, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-46)\/(-6))\/((-37)\/(-257 + 35)). Solve l*x + 32 = 38*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/115 and -83\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2969\/26019 + 7\/59. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**11)**6*((x**(1\/5)*x*x)\/x**1)\/(x\/((x\/(x*x**(-1)*x))\/x))**(-1\/3) assuming x is positive.\nAnswer: x**(523\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 15452 + 19370. Is 3\/((-3)\/a)*(-2)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -447*i**2 + 64 - 64 - 404*i**2 as h*i**2 + c + o*i and give h.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118, -246, -374, -502, -630?\n\"Answer: -128*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 659222 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 10*j**2 + 10*j + 10. Let t be u(-9). Let l(z) = -3*z. What is l(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o**3*p**3 - 82*o**3 - 8*o*p**3 - o*p**2 - 26*o + 2*p**3 wrt o.\nAnswer: 78*o*p**3 - 492*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 1, r: 3, l: 1, h: 7, m: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.85, 0.01, 2, 3, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048400.\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107.75 + -105.75. What is the third smallest value in b, 5, -5, -1\/5, 2\/325?\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - 220102002012?\nAnswer: -220102002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -70*b + 632. Let d be i(9). Put d, -1, -3, 4 in decreasing order.\nAnswer: 4, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -26 (c) -369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**8\/6720 - f**7\/1120 - f**6\/720 - 16*f**3\/3 - 3*f. Let v(g) be the second derivative of u(g). Factor v(j).\nAnswer: -j**2*(j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*r - 60 - 56. Suppose 26*d**5 - 8*d**3 - 18*d**5 + 3*d**4 + 9*d**r = 0. Calculate d.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/244592 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from {z: 7, t: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 2*x**3 + 9*x**3 - 7*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/120 - 11*t**5\/60 - 13*t**4\/24 + 3*t**3 + 134*t**2. Is 11 a factor of i(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttvtgotodo. What is prob of picking 1 o and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - (-145)\/29)\/((-2)\/(-4)). Suppose 2*u - 5*o - 89 = 0, -3*u + o + 123 = 4*o. Let s be (3 + (-150)\/u)\/(4\/v). Solve -s*f = f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = v + 2*u, 18*v - 16*v - 5*u = -15. Suppose 3*x - 10 = 5*y, 6*y + 16 = 2*x + v*y. What is the highest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 + 5 - 21*y**2 + y - 9 + y**5 wrt y.\nAnswer: 20*y**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 137*j + 604. Does 15 divide a(49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1308046+0.05\nAnswer: -1308045.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783\/976 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 - -1324?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*a + 16 = -218*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6319197 divided by -44817?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -839?\nAnswer: -251.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*b + 8 - 4*b - b**3 - 58*b - 9 - 2679*b**2 wrt b.\nAnswer: -6*b - 5358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o - 55*o + 48 = -v + 24, 5*o + 25 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -117581868819315.\nAnswer: -117581868819314.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m**2 - m - 1. Suppose 2*k + 2*n + 0*n - 12 = 0, 0 = 4*k + 5*n - 29. Give o(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d0d0 (base 14) to base 8.\nAnswer: -334056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -24 - -12) + (-8 - -1) + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*t + 15, -4*t - 3*l + l - 2 = 0. Let j be 0\/t - (-4)\/14. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9892892*w - 10765169?\nAnswer: -9892892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15 + 5*q + 7*q - 8 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5\/20 - g**3\/6 - 3*g + 1. Let v(i) be the first derivative of l(i). What is the second derivative of v(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -16784962\/15?\nAnswer: -16784962\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(2\/17))*z**(-17) assuming z is positive.\nAnswer: z**(-291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j. Suppose j = -2*m + 12 - 6. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 18606. Let b = -3323 - s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -4. Let b = z - 66.6. Put b, -2, -1.6 in ascending order.\nAnswer: -2, -1.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318507 and 1218?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-420)*((-6)\/60 - (-1)\/(-2))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102581190 divided by 6.\nAnswer: 17096865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -26. Which is the closest to -0.1? (a) p (b) 1\/2 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373194?\nAnswer: 2, 151, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 26*i - 81. Let q(t) = -3*t**3 + t**2 - 22*t - 79. What is -5*l(p) + 6*q(p)?\nAnswer: 2*p**3 + 6*p**2 - 2*p - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 283*m**2 - 86*m**2.\nAnswer: -369*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/920 and 69\/8.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103276 or 103275?\nAnswer: 103275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262897*n**3 - 130268*n**3 - 132644*n**3.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5\/2 (c) -28 (d) -4\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -4. Let f = 0.086 + 44.414. Let v = -45 + f. Sort z, 0, v in descending order.\nAnswer: 0, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530325792?\nAnswer: 2, 3, 204601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1)*(-5)\/240*8*-6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -0*a - 6*a. Which is smaller: a or -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 38, -0.2, 7, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.9524 nanoseconds in hours?\nAnswer: 0.000000000154709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*q + 286, r + r + 5*q - 97 = 0. Let w be 1*(3 + r + 4). Suppose -b + w = -58. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -13. Let m be f + 3 - (-3)\/(-2). Is -2 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n**3 + 4*n**2 - 2*n**2 - 34*n**3 + 2*n**2 wrt n.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2020 - 22?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143388?\nAnswer: 2, 197, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:34 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4426*-0.4.\nAnswer: 1770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 15, h: 4}. What is prob of sequence ghg?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1efe (base 16) to base 13\nAnswer: -37c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 7*u**2 + 0 + 1\/6*u**3 + 1\/20*u**5 - 1\/12*u**4 + 0*u. Let f(h) = 10*h**2 - 7*h + 2. Determine 2*f(r) - 7*k(r).\nAnswer: -r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3072 and 89\/338176?\nAnswer: 4058112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 276889, -0.3, 0.2?\nAnswer: 276889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 15 + 3 = 4*j, 8 = 3*j + 2*h. Solve 0 = 5*m - j*a - a + 35, -5*a + 26 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 2. Let p(r) = -3*r + 8. Determine h(s) - p(s).\nAnswer: 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-220))\/(2\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and -3 - (80\/(-3) + (-1)\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.679 + -3.49. Let c = 0.111 + y. Suppose 4*b + 0 = -4*s + 4, -4*s + 2*b = 14. What is the closest to 1 in s, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 1. Let v be u(3). Suppose 0 = 5*a + 5*q + v, 13 = 2*a - 9*q + 4*q. Let s be -3 + 4 + (a - 0). Let d(z) = -z - 8. Determine d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 - 69*s. What is l(-15)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1377)*-6.\nAnswer: 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10743*c**2*s - 3975*c**2 - 5*c - 2 with respect to s.\nAnswer: -10743*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a1 (base 14) to base 5.\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -1, 6 in descending order.\nAnswer: 6, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 2*x - 3*x + 5*x - 3*x + 5*x + (4 + 0 - 3)*(-2 + 2 + x) - 2*x + 0*x + x to p + u*x and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2014 + -2014.0287. Round z to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/109, -3\/4, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 5*o**2 - 7*o - 9. Let x be k(-3). Let t = -1 - -1. Suppose t = x*l - 416 - 505. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 130791, 261583, 392373, 523161, 653947?\n\"Answer: -t**2 + 130795*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8062*f + 16 = 8070*f. Which is the fourth biggest value? (a) -0.05 (b) 4 (c) f (d) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*b - 26 = 0, -4*b + 9*b = -3*o - 1. Suppose 3*j = 3*w - 15, -16 - o = -4*w + 3*j. Calculate the smallest common multiple of w and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/(n\/(n*n**(5\/4)))*n)\/n*n)*n**(-2\/35))\/(n**(-8)\/n**19) assuming n is positive.\nAnswer: n**(3317\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34103?\nAnswer: 67, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 22. Let w be q(-6). Sort 7, w, -2.\nAnswer: w, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 24*c**2 + 59*c + 328. What is s(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**6\/360 + x**4\/8 + x**3 - 3*x. Let k(i) be the second derivative of h(i). Differentiate k(b) wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 + 18*y + 2. What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 + 3*m**4 - 4*m**4 + (3*m**4 + m**4 - m**4)*(-1 - 2 + 1) - 3*m**3 + 3*m**3 + m**4 to n*m + u + s*m**2 + k*m**3 + d*m**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:01 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 22.62181km?\nAnswer: 2262181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a + 2. Suppose 14 = -r - 2*m, 0 = -4*r + 5*m - 7 - 36. Let f = 14 + r. Does 17 divide i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 74, 156, 312, 566?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.04 + 0.04. Suppose -2*q + l + 0 = -6, 0 = -q - 3*l + 3. What is the nearest to 0 in 0, m, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -16*c - 33*c + 23. Solve -c = o + g - 0, -3*o = -5*g - 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*78\/195*15\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - w + 0*w)*(-6 - 1 - 1) as u + j*w and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -7*z - 15. Solve 0 = -k + 1 + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-6))\/((-6)\/9). Let n be -5*(b + 36\/(-15)). Which is greater: n or 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 5*v**2 + 7*v - 6. Let d be t(4). Solve 2 + d = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -31 - u + 13 + 10. Let d be t(-18). Suppose 18 = -2*a + d. Let v(o) = -4*o - 5. What is v(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1405329, 1405356, 1405383?\nAnswer: 1405410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*o**2 - 4*o**2 - 2*o**2 + 3*o**2 to h*o**2 + c + y*o and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -2\/521 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -173\/5. Suppose 12 = 4*z - 5*g - 6, 2*z - g - 6 = 0. Suppose u - 3 = z*l, -4*u + 0*l = 2*l + 8. Is y at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17644 is divided by 2516.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f - 565 - 543 + 1654 - 547 + 5*f.\nAnswer: 22*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 1525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*g - 285 = -249, -g = -2*m + 31 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 7*z - 53. What is the remainder when h(9) is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnnbb. What is prob of picking 3 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j - 1 - j - 9*j + 2*j**3 - j + 11*j**4 as g*j**3 + a*j**2 + u + t*j + q*j**4 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b*d*i**3 + 3215*b*d*i**2 + b*i**3 - b*i**2 - 20944*d*i**3 - 4*i**3 + 85 wrt i.\nAnswer: 60*b*d + 6*b - 125664*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2133*s**2 - 264*s - 263*s + 527*s - 2138*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342638 + 330*d + 10*d**2 + 201*d**2 + 4264*d + d**4 + 342638 + 2*d**3 wrt d?\nAnswer: 12*d**2 + 12*d + 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l = -19*l - 118. Solve 3*u + l = -5*i, -2*i + 29*u = 34*u + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546481*d**2 + 8767*d**2 + 123976*d**2 + 580453*d**2.\nAnswer: 1259677*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 6*t - 2*t + (2 - 2*t - 2)*(-3 + 3 + 2) + 0 - 2*t + 0)*(-4*t**2 + 4*t**2 + t**4).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 + 60*p**3 + 9*p**2 - 13 wrt p.\nAnswer: -24*p + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/40 + c**5\/60 - c**4\/2 + 11*c**3\/6 + 69*c**2. Let b be f(1). What is the closest to 1 in b, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-5)*(-26)\/91\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 + 39 + 35*x + 9*x - 26*x - 25*x.\nAnswer: 26*x**2 - 7*x + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44247, -89316, -134395, -179484?\n\"Answer: -5*k**2 - 45054*k + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from alhalhlhhaa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 187503 = 3*i, -2*h = i + 62498. What is i rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/10*2\/(-6). Let m(x) = -4*x**2 + 3*x**2 + s*x**2. Let r(g) = -3*g. Determine r(m(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.992 + 0.008. What is the smallest value in o, -2, 3\/5, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -6.8. Let c = -6.000028 - j. Round c to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*c**5 - 27*c**5 + 188*c**4 - 555*c**3 - 60*c - 172*c**2 + 552*c**2 + 23*c**4 + 69*c**4 = 0. Calculate c.\nAnswer: 0, 2\/9, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/(-490)*10\/(-9))\/(4*1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82167 and 472797?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/4 - 11*d**3\/3 + 17*d**2\/2 + 497. Give f(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3405731 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 23. Let c be m(6). Let j(i) = 18*i**2 - 4*i + 3. Let d(t) = -7*t - 2. Calculate the remainder when d(-5) is divided by j(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-15)*z**7*z**(-2\/9)\/z*z assuming z is positive.\nAnswer: z**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13273\/26538 - 2\/13269. Let n(i) be the first derivative of -q*i**2 + 1\/3*i**3 - 5 + 5*i. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**2 + 29*s + 1. Let o be n(-12). Solve f = -4*f + o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 57827*v.\nAnswer: -57827*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -5*m**4\/12 + 15*m**3\/2 + 90*m**2 + 709*m. Find c, given that k(c) = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3))**(11\/5)*(j*j**(-15)\/j)\/j**(4\/11))**(-19))**(-1) assuming j is positive.\nAnswer: j**(-52763\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -170 * -41454\nAnswer: 7047180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100011100110001010110?\nAnswer: 1100011100110001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-604)\/(-10) - 14\/35. Suppose -t + 5*t + 3*c = 106, -2*t + x = 5*c. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p*r**2 - 9811*p*r - 34707182*p + 12*r**2 + r wrt r.\nAnswer: -8*p*r - 9811*p + 24*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3796, 13521, 29710, 52363, 81480, 117061?\n\"Answer: 3232*n**2 + 29*n + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g + 0*g**4 - 1 - g**3 + 0*g**2 + 2\/5*g**5. Find the third derivative of i(x) wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76985 * 0.4\nAnswer: 30794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**6 + 5*u**5 - 7*u**2 - 5*u. Let t(q) = -16*q**6 - 8*q**5 + 10*q**2 + 8*q. Let y(c) = 8*h(c) + 5*t(c). Find the third derivative of y(o) wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 6) to base 9\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 7*a**6\/660 + 8*a**5\/165 + a**4\/33 + 461*a**2. Factor h(u).\nAnswer: 2*u*(u + 2)*(7*u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, h: 1}. Give prob of picking 1 h and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(14\/3)\/x)\/x)*x**(-1)\/x)\/(x**10)**38 assuming x is positive.\nAnswer: x**(-1151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78, 0.2, -3, -882?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -132. Sort -4, s, -3, -2 in decreasing order.\nAnswer: s, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -54356?\nAnswer: 3\/54356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6410 and 1030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 3*c - c - 72.\nAnswer: c - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86540 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: Calculate 3 - -2 - (1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176742.5ml in litres?\nAnswer: 176.7425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*40\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1620 and 25\/115992?\nAnswer: 579960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 127, -3 in increasing order.\nAnswer: -3, 0, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {i: 8, r: 5, e: 4}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-18)\/(-10)*3050*18\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 24. Let t be u(8). Does 3 divide (-4 - t) + 135\/(-1 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 8, -0.1, 21, -3\/2, 5 in descending order.\nAnswer: 21, 8, 5, 2\/9, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021221 - -110200200?\nAnswer: 112222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191910 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-15 + -16 - -18 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - 21. Let m = r + 46.8. What is m rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.207 take away -717048237?\nAnswer: 717048237.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = o. Suppose -3*d = o, 3*p - 15 = d - 6. Suppose 4*t = 16, p*t = 3*i + 2*t - 185. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 1644*j + 3286. Determine s(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 - 5*u. Suppose -3*q = -0*q + 24. Let h(j) = 20*j**2 + 14*j. Let i(t) = q*y(t) - 3*h(t). What is the second derivative of i(m) wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, 383, -5, 19, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r**3 - 7*r**2 + 7. Let c(x) = -3*x**2 + 4*x**3 - 10*x + 10*x + 3. Suppose 25*n = 23*n - 12. What is n*u(d) + 14*c(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*f**4 - 6*f**3*h**2 + f*h**2 - 73*f - 1 wrt f?\nAnswer: -1416*f**2 - 36*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318*j**2 + 578*j**2 - 11 - 2*j + 590*j**2)*(-3 + 3 + j).\nAnswer: 850*j**3 - 2*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3720 - 2188. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + w + 1)*(3 - 3 - 1) - 2*w + 2*w - 2*w + 103 - 103 - 14*w)*(5 - 2 - 2).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) -2\/5 (c) 6 (d) 0.03 (e) 84.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 82869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 b when three letters picked without replacement from {j: 2, d: 2, p: 2, b: 2, x: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + a - 254 = 0, -3*a + 167 = -6*j + 8*j. What is the highest common factor of j and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 31 = 136. Let o(k) = 4*k + 1 - 4*k - 2*k. Calculate the remainder when p is divided by o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900 is divided by 1775.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46952095*z**2 + 116153789*z wrt z.\nAnswer: 93904190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:31 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84522588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48432 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 6. Let q = 36 - 38. Give v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 886673, 886669, 886665, 886661?\n\"Answer: -4*n + 886677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 618 = 8*i. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 84*w**2 + w. Let f(p) = 783*p**2 + 12*p - 51. Let x(n) = -f(n) + 12*g(n). Let d(b) = 9*b**2 + 2. What is -153*d(u) + 6*x(u)?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/18107023 and 6\/2035.\nAnswer: 90535115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + 73. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(931) + 2))**2 - (-2*sqrt(931) + sqrt(931) + 5).\nAnswer: 1015*sqrt(19) + 33655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/3, 310 in descending order.\nAnswer: 310, 4\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -3 - 1)*0. Suppose j*o - 2*o - 7 = -3*h, 2*h = 2*o + 2. Let t(l) = 9*l - 3. Let f be t(o). Calculate the greatest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2882, 5358, 12072, 25142, 46686, 78822?\nAnswer: 123668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -123 - 436. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 12. Let k = -4 - l. Suppose 21 = 3*h + 3*b, k = -4*h + 2*b + 43 + 3. What is the remainder when 29 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.81 + -44.81. Let m = n + 44.003. Round m to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -95, 2\/5, -18, 1\/10, 0 in increasing order.\nAnswer: -95, -18, 0, 1\/10, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -16. What is the second biggest value in d, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 13*q - 18. What is j(8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 13) in base 6?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/310477 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6, -225 = -4*z + 59*g - 54*g. Is z < 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + 6. Let b = g - 44. Suppose 4*t - 6*y = -7*y + 26, 6 = 2*t - b*y. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.6 - -18. Let u = -112 - -115. Which is the fourth smallest value? (a) -9 (b) u (c) l (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 13) + 12\/2. Let c(i) = -41*i**3 + i**2 - 18*i + 7. Is c(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 2. Let g(c) = 18 + 7*c - 23 + 10. Let h be (-2)\/8 + 164\/16. Determine h*m(i) - 4*g(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-14)*770*(-40)\/(-800)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**3 + 0 + 0)*(-3*z + 5*z + 0*z)*(1 + z - 1) + (-93*z + 93*z + 166*z**5)*(-4 + 5 + 0)*(-4 + 1 + 1).\nAnswer: -314*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**2 - 10*y + 8*y + 111 + y.\nAnswer: -27*y**2 - y + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10 - -2)\/(-8)*53)\/(12 - 13)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w + 16. Let x(z) = -z**2 + 9*z + 8. Let o be x(-1). Let d(f) = 3. Let s(i) = o*d(i) + a(i). Let c(t) = 13*t - 19. Determine 6*c(p) + 11*s(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 3*l**4 + l**4 + (-3 - 2 + 1)*(l**2 - 3*l**4 - l**2) - l**3 - l**4 + l**3 + (3*l - 2*l - 2*l)*(4*l**3 - 3*l**2 + 3*l**2).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -19.62070259517\nAnswer: 15.62070259517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-9)\/15 + 0 + (-7132)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -20 + 5 - -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 10*y + 220. Calculate the common denominator of -1 and 4 - 5 - y\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 0, 5*h - 3 = b - 3*b. Let j(c) = -2*c - 1. Let i be j(h). Let q = 5 - i. What is the smallest common multiple of 5 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5779*o**2 + 372*o - 32. Let f(j) = 2889*j**2 - 186*j + 15. Let d(u) = -6*b(u) - 13*f(u). Determine t so that d(t) = 0.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = -130 + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447176 (base 9) in base 13?\nAnswer: -37782c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/30 + 7*x**5\/60 + 25*x**3\/3 - 29*x**2\/2 + 2*x + 19. Let h(o) be the first derivative of q(o). Differentiate h(f) wrt f.\nAnswer: 12*f**2 + 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8195)\/132 - 1\/(-12). Let n = w + 70. What is the highest common factor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 379819 + -148129309\/390. Calculate the common denominator of -101\/156 and m.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*y - 0*y + 34399995, -5*y = -4*r + 86000020. What is y rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302262 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 565*t + t**2 + 565*t - 9.\nAnswer: t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -41, -83, -151, -251, -389, -571?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a + 1. Let q(l) = -5*l. Let h(v) = -8*q(v) + 3*w(v). Let s = -22 + 6. List the prime factors of h(s).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220 + 3.6?\nAnswer: -11216.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-2) - -4) + (-1403)\/(-934). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 27*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1864438 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f - 27 = 2*y - 31*f, 0 = -y + 5*f + 39. Let t = 13 - 7. Suppose 0 = y*i + 3*c - 0*c + 11, -i + c + t = 0. Solve 0 = d - i - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111210000 - -12?\nAnswer: -111202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*(sqrt(1088) + 0)*3)**2*2 - (sqrt(1088) + ((sqrt(1088) + 1)*4)**2 + 1 + -3)).\nAnswer: -264*sqrt(17) + 2158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382 - 273. Let c = -101 + l. Let h = 9\/5 - 8\/5. What is the smallest value in c, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 6. Suppose -s - 9 = -l. Let o be 4 - (-30)\/25*s. What is the second biggest value in 1, o, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119660446 divided by 2\nAnswer: -59830223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 - (-170)\/30. Suppose -u*y + 8*y = 0. Suppose q - 6*q + 95 = y. Calculate the greatest common factor of 95 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2510\/7 + 359. Which is the closest to 0? (a) -4 (b) -1\/3 (c) f (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134.9731694 + -0.0466306. Let r = -28.7 + 163.7. Let u = z + r. Round u to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82337\/5 or -16467?\nAnswer: -82337\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 23744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 + 2*h. Let x be u(2). Suppose -x*y = 3*p - 11 - 33, 4*p = 5*y - 24. Calculate the highest common divisor of y and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.2385 (c) -7 (d) 11\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*m + 157 + 85, 4*k - m = 239. What is the highest common divisor of 156 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -510 + 513. Let t(b) = b**2 + b - 6. Let d be t(r). What is the third smallest value in 0.5, 1\/51, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let p(r) = -r**3 + 3*r**2 + 2. Suppose -2*v - 2 = -4. Let m be ((-3)\/9)\/(v\/(-9)). Let o be p(m). What is i(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. Let u = p + -2. Let m(a) = a + 6. Let b be m(-6). Solve -u*q - 6 = -b*x + 3*x, -2*x - 4 = -3*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*i = 12, 8*i - 3*i - 15 = -4*b. Suppose 12 - 17 = 5*g. Put b, -3, g in decreasing order.\nAnswer: b, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6868 and 1194352.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1298574?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 + 9*c + 8. Let g = 17 + -10. Let f(n) = -n**3 + 7*n**2 - 8. Let w be f(g). Let k be p(w). Put k, -5, -4 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.1. Let q = 7.7 + -8. Which is the closest to 0? (a) -2 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xllx when four letters picked without replacement from lxfxflxxxxxlxxx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k - 3. Suppose 7 = 3*y - 2. Find the second derivative of m + 0*m + y*m**k + 3*m + 0*m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7386*t**2 - 5*t + 5. What is the thousands digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1965360 and 684.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/120*(12 + -7). Let h be ((-4)\/(-10))\/(1\/(-10)). Let s be 36\/(-8) - (h - -2). Which is the smallest value? (a) -0.01 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 1. Let k be t(2). Let p be -2*(-43*2\/4)\/1. Let d = p - k. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-5)\/5*(0 + 1). Let s(o) be the third derivative of -7*o**4\/3 - 29*o**3\/6 + 3*o**2. Is s(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) + (-14)\/18. Let g = p + 9. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and 7890 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-5))\/((-16)\/(-120)). Let f be (a\/10)\/((-1)\/5). Solve -f*o + 8 = -7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:08 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:59 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:04 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 519 - 1009 + 3081*z + 492 as f + x*z and give x.\nAnswer: 3081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:23 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/2, -1\/1791, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20139298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 1. Let n be r(-2). Let o be 2\/(1\/(-1))*10\/(-20). What is the tens digit of (24 - -2) + o + n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6714 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x**2 + 10*x - 8. Let m be c(6). Suppose -j = 11 + m. Let b be 2\/(-9) + (-141)\/j. Solve 3 = b*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 f, and 1 q when four letters picked without replacement from {f: 4, u: 4, s: 2, q: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7585, -8510, -10051, -12208, -14981, -18370, -22375?\n\"Answer: -308*m**2 - m - 7276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13979711159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/740 and 71\/2136750?\nAnswer: 4273500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 52*j**2 + 11*j - 23. Let p be f(-4). What is the greatest common factor of p and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 240\/475 + (6\/(-15) - 0). Which is the closest to 2? (a) 0.1 (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*u - 968 - 1065 = 427 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455 not equal to 4474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(1\/6)*n*n)))\/((n\/((n*n*(n\/n**5)\/n*n)\/n))\/n)*(n**(1\/2))**19)\/(n\/n**(2\/27)*n*n**(2\/9)\/n*n**4\/n*n\/n**2) assuming n is positive.\nAnswer: n**(167\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 14*c - 29 + 5*c)*(4*c - c**3 - 4*c).\nAnswer: 4*c**4 + 29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 4 - 7\/2*k**2 - 6*k - 1\/3*k**3. List the prime factors of n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 93.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1047*s + 1. Let c(b) = -16105*b. Calculate c(m(f)).\nAnswer: 16861935*f - 16105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 7. What is the units digit of ((-22)\/(-4) - -3)*o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405 times -878.1\nAnswer: -355630.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*h - 8, 5*z = 2*h - 19 + 7. Suppose 17 = -3*o + 2*s, 3*o + s - 5*s = -19. What are the prime factors of (h\/2)\/(1\/o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -11, -3, -0.4 in ascending order.\nAnswer: -11, -3, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496255 is divided by 8550.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116282790?\nAnswer: 2, 5, 7, 29, 97, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Suppose -r - r - 4*v = 0, 4*v = -d. Let n = r + -2. Solve n = 3*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7762019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 27*o + 93 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58017*p**2 - 58015*p**2 + 4*p**3 + 116032*p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2826 rounded to the nearest ten?\nAnswer: -2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 - 1204?\nAnswer: -1203.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9. Let f = 49 + -22. Let p = -12 + f. Calculate the remainder when p is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1490038*z**2 - 2027740*z.\nAnswer: -2980076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/28 - (-10)\/4) + -1. Suppose 310 = i*g + 126. Let o = 92 - g. Put o, 5, 36 in ascending order.\nAnswer: o, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5536 and 185975.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1669*g + 3*i - 81 = 1666*g, 5*g + 65 = 3*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20851266 to 3 dps.\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*(d*d**(-6\/7)*d)\/d)\/d)\/d)\/(d**(-2\/7)\/d)*(d**(2\/5))**(-1\/42))\/((d**(-1\/2)*(d\/d**2)\/d)\/(d*d**4*d**3)) assuming d is positive.\nAnswer: d**(2503\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.538? (a) -1.6 (b) -0.3 (c) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/15 + 108*r**2. Let g(s) = -5*s**2 + 5. Give k(g(i)).\nAnswer: 100*i**4 - 200*i**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6528)\/6)\/(-3 + 377\/125). What is g rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -1004, -1657, -2344, -3053, -3772, -4489, -5192?\nAnswer: -5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -k + 6, c + 4 = 2. Suppose o = -4, p + o + o - 27 = k. Solve -5*d = -4*g - 40, -3*g + 5*d + 0*d = p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k - 41. Let c(t) = t - 1. Let d(o) = 6*c(o) + 3*y(o). Let v be d(-11). What is the highest common factor of 105 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3532512.\nAnswer: 2, 3, 31, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00918644058 to 5 decimal places.\nAnswer: 0.00919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94969098 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61341 - 2350?\nAnswer: -64021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 3*a**2 + 0*a**2 + 0*a**2 + 7 + a. Let g be q(-3). Suppose 4*h - g = -32. Calculate the remainder when 54 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/28)\/(30\/315)*8\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1784*l**2*u**2 - 22994*l**2*u - 3130702*l*u**2 - 2*l + 7*u**2 wrt l.\nAnswer: -3568*u**2 - 45988*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -19. Let c = 31 - k. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3052*a**4 - 6*a**2 + 59*a - 8. Let d(x) = -2*x**4 + x**2 + x + 1. Let y(u) = -6*d(u) - v(u). Find the second derivative of y(j) wrt j.\nAnswer: 36768*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -20*o + 30. Let c(v) = v - 1. Let x(y) = -30*c(y) - f(y). Let n(i) = -4*i**2. What is x(n(l))?\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1562*c**2 + 528*c + 3125. What are the prime factors of o(-6)?\nAnswer: 7, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134\/3 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/24*(-24)\/(-54). Which is the third biggest value? (a) i (b) -0.5 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8085.857ml?\nAnswer: 8.085857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313391885 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -82850?\nAnswer: -2\/41425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/3, -256, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 164 = -0*o. Let s = o + 46. Let j = 68 - 33. What is the highest common divisor of j and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from {l: 1, h: 2, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 212*p - 6. Let f(d) = -1908*d + 56. What is -6*f(n) - 56*o(n)?\nAnswer: -424*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 - 9220*w**3 - 64730*w**2 - 101780*w - 46275 = 0?\nAnswer: -5, -1, 1851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 8*a**2 - 3*a - 4. What is the remainder when 93 is divided by r(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 171*y**3 - 2691*y**2 + 1425*y + 146250 = 0. What is y?\nAnswer: -6, 13, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872085853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**3 + 5*m**2 - 2*m + 5. Determine y(2).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/39*55\/(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*v + 5*f, 5*v + 2*f - 25 = -4. Solve -a = v*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*i - 5 = 0, 4 = -2*u - 4*i - 0. Let k = u - -2. Suppose 0*j - k*j - 8 = 0. Let o(y) = y**2 + 5*y - 3. Calculate o(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 248 + 190 = 0. Suppose 2*a - u = 4*t, 211 = -4*a + 5*a - 4*t. List the prime factors of a.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27078 + 46814. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*o = 2*c - 27, 3*o + 22 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 98 = -20*g + 50. Sort -3, g, 0, -8, 32.\nAnswer: -8, g, -3, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(672))\/((sqrt(600)*3 - sqrt(600))*-1).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 9*f**2 + 17*f - 19. Let v be c(3). Solve 0 = -5*l + 24*m - 27*m - 9, -l - 13 = -v*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 - 154. Let l be (j*5\/70)\/(1\/310). What is the highest common divisor of 31 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3268463\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3))\/sqrt(5)*6.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.595 litres in millilitres?\nAnswer: 761595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -3\/44 (b) 1\/8 (c) 7 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2170329, 2170325, 2170321, 2170317, 2170313?\n\"Answer: -4*s + 2170333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.113 - -0.387. Let s = 2.4 + -0.4. Let d = 2.3 - s. What is the nearest to -1 in d, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-274)\/(-8) - 24\/(-32). Let w(c) = 3*c + 29 + 0*c - s. Let m be 10\/3*12\/10. What is w(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from qqqzzzqpzpzzzqzqpq?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 290\/(-261) - (-8512)\/6300.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + 9*o - 9*o)*(-2098 + 101 + 5223).\nAnswer: -9678*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 4 - 4)*(2 - 2 + 2) + 0*j + 0*j - 2*j + (0*j - j - j)*(1 - 2 - 1) - 21 - 7*j + 21 to w + v*j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4 - 80648*k**3 - 1080063360*k**2 - 4750408530400*k + 716834172308000 = 0.\nAnswer: -13490, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 25. Suppose 4*w = -5*r + 2*r - 44, -2*w - 28 = 3*r. Is 17 a factor of f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from vvppqzv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132.4 - -126.4. Is d at least as big as -21.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - 10, 3*k + 5*f + 1 = 0. Suppose k*i + 4*z - 126 = 0, -i + 42 = -0*i - z. Calculate the greatest common divisor of 105 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -8*q + 28. Suppose -2*p - 2*t = 2*t - 52, -q*p = 5*t - 55. Solve -c - 4*c + p = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - u**2 - u + 0*u**2 - u**3)*(16*u - 70 + 70).\nAnswer: -16*u**4 + 16*u**3 - 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/8 - 9\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 12. Let r(b) = 6*b**2 + 3*b + 2. Let m = -9 + 7. What is the remainder when o is divided by r(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15158051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2100 and 4800?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - 3. Let r = 55 + b. Calculate the highest common divisor of r and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 3*y. Suppose -2*b = y*g - 21 - 99, -3*g + 93 = -3*b. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/50508 and 36\/671.\nAnswer: 555588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29938740 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*q - 1975 = -545 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5621 and 355729?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 710.4718um?\nAnswer: 0.7104718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.64 + 41.6349. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76\/273 + 2\/273. What is the smallest value in 0.22, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1660 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 969*q + 1. Is c(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * 0.31.\nAnswer: 10.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 29 = 9*u + 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 30\/13, -10, 10 in ascending order.\nAnswer: -10, 30\/13, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n + 0*n**4 + 17 + 0*n**5 + 1\/2*n**6 + 0*n**2 + 10*n**3. What is the third derivative of d(y) wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -54?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23975221 and -0.12.\nAnswer: 2877026.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**2 - 11. Let p be ((-3 - -3)\/(-3))\/1. Let c(y) = 2*y - y + p*y + 0*y. Calculate c(j(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 0*t**2 + 116 - 56*t - t**2 - 59 as p + k*t**2 + q*t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 14 - (6 - 7). Let n be (1\/(-1))\/(-2)*-2. Let w be n + (3 - (-32)\/a). Put w, -0.3, 2\/17 in descending order.\nAnswer: 2\/17, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 39*l**2 + 550*l + 3. Determine g(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -612.97 + 4.97. Let j = -607.7 - d. Suppose t = 5*t - 4. Does j = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqtqttttttt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/36 + (-1)\/3. Solve g + 5 = 4*h, b*h - 5 = g + 2*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*d**2 + 819*d**2 - 401*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2511817 (base 9) to base 15.\nAnswer: 1beb71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) - 2015\/25. Let p = o + 163. Calculate the smallest common multiple of 22 and p.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2\/8315 (b) 0.5 (c) 1 (d) 2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*b = -b - 172, 2*b - 88 = -2*y. Solve 0 = -k + 45 - y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/108256506 and 179\/15630.\nAnswer: 541282530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9*h**5 - 3522*h**4 + 141969*h**3 + 117606042*h**2 - 196301280*h + 78556800 = 0.\nAnswer: -280, 2\/3, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2012856*-0.3\nAnswer: -603856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - 2)\/(183\/305)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-7)\/4*564\/(-987)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(11\/(-99))\/(2\/(-1))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 255\/680 - (-74)\/16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*q, 12*q = 7*j + 11*q + 13. Sort 21, 2, -1, j, 1.\nAnswer: j, -1, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 h, and 1 q when four letters picked without replacement from qghguugqdqdqdhq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13290505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 2006545 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 take away -10601647?\nAnswer: 10601320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 9, -7.\nAnswer: -7, -4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((400\/(-32))\/(-25))\/(66\/(-24))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v = -5. Let x = -34\/3 - -133\/12. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501267 is divided by 515.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/43)\/(11\/((-44)\/(-72))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2 + 1. Suppose -2 = -b + 3. Let w(j) = 7*j. Let r(f) = 3*f. Let s(l) = b*r(l) - 2*w(l). What is s(k(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7149.160016 + 7149. Let m = -23.16 - -23. Let j = m - i. Round j to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 2:47 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 8. Let o be q(0). Suppose -s + 0 + o = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 67. Which is the nearest to 0? (a) -0.3 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/2*(-1 + 2). Let f = n - -18. Suppose 3*l = -l + f. Solve -2*u = -u - l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**9)\/b))**(-1\/6)*(b*b**3*b)\/(b\/b**(-14)))**(-2\/47) assuming b is positive.\nAnswer: b**(52\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/16363968?\nAnswer: 1\/16363968","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4760)\/(-105) + -45)*9\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/3 (b) -0.09 (c) 274 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3672999 is divided by 1514.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/9 and 77\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - 5*y**3 + 7*y**3 + 8*y**3.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.3344 days to seconds.\nAnswer: 22924892.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d + 3*j - 24, 0 = 3*d - j - 7. Suppose d*x = 3*i + x - 24, -i = 4*x + 17. Solve -s + 13 = -0*s - i*q, 5*q + 19 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 - -314. Suppose 4*p - l + 563 = 0. Let a = p - -310. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00455099008 to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101479469?\nAnswer: 7, 13, 41, 59, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*j + 3*j. Find the second derivative of -p - 2*p + j*p + p - 7*p**3 wrt p.\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/6 - 7*o**2\/2 - 4*o. Find the first derivative of w(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammuamummamamammma. Give prob of sequence au.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*(-6 + 8). Suppose -3*y - y + l = -22, -y = 5*l + n. Let j = 8 - y. Solve 2*s + 1 = j*s, -5*d + 2*s + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Calculate the remainder when x(2) is divided by 0 + 2\/4*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*s**4\/13 - 32180*s**3\/13 - 12878*s**2\/13 - 1288*s\/13.\nAnswer: 2*s*(s - 644)*(5*s + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401011 is divided by 4068.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 150343353?\nAnswer: -150343332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -1. Let l be 1 - (1 + 2 + h). Solve 4*a - a - 18 = 4*b, 4*b + l = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from aabdbaada.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixwlvfx. Give prob of picking 1 i and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6263.6 to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + 11. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3*(-24)\/(-32)*6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*o**2 - 18*o**2 - o**3 + (o - o - o**2)*(10*o + 2 - 2) - 8*o**3 - 14*o**3 + 13*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1697483?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, -0.04, 5 in ascending order.\nAnswer: -187, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**10\/1680 + x**6\/9 - 17*x**3\/3 + 27*x. Let m(r) be the second derivative of z(r). Find the third derivative of m(d) wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -18*n + 5. Let p(d) = -10*d**2 + 246*d - 55. Give h(p(g)).\nAnswer: 180*g**2 - 4428*g + 995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 620395279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -21*c**2 - 10*c - 35. Let r be f(-4). Suppose 6*v = -14 + r. Calculate the highest common divisor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 16*m + 2. Let o be f(8). Suppose -2*x - 5*w - 249 = -3*x, 4*x - 4*w - 996 = 0. Factor -4*s**o + 249 + 8*s - 4*s**3 - x.\nAnswer: -4*s*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16534.999997762 - 16535. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 81*j - 364. Give i(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 126806.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f - 27*f = -97 - 143. Which is the smallest value? (a) 5\/2 (b) -819 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378011410.\nAnswer: 2, 5, 7, 1657, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h + 0*h**6 + 2*h**3 - 11\/24*h**8 + 9 + 0*h**7 + 0*h**5 - h**2 + 1\/24*h**4. Find the second derivative of l(u) wrt u.\nAnswer: -3080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (495\/(-22) + 10)*2\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -5084.\nAnswer: 25\/5084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(2\/39)))\/x)\/x)\/x)\/(x\/(x\/(x\/x**(-5)))) assuming x is positive.\nAnswer: x**(-353\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1139, -1156, -1193, -1250, -1327, -1424, -1541?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d - 78*d = -56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5497205 to three dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*k - 581 + 18451, 4*v + 23842 = 5*k. Let n = v + 59457\/10. Find the common denominator of n and 61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(108)\/(-2*sqrt(6)))\/(sqrt(6)*-2*-2).\nAnswer: -sqrt(3)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {t: 1, i: 1, s: 1, e: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*15*(-16)\/24. Suppose -4 + h = 2*q. Let r(w) = 0*w**2 + 7*w**2 - w - 4*w**2 - 4*w**3 - 1 + 3*w**3. Calculate r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o - 3 = 46*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*q - 47*q - 32*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 15*w - 24 = -3*q, 4*q + 83 = 5*w. Solve -35 = 10*v - w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732656364 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-126))\/((-2)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let n(k) = -k - 7. Let t(b) = -n(b) - 5*w(b). Suppose -4*h - 16 = -0*h. Calculate the smallest common multiple of t(h) and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(-29))**(-1\/41) assuming i is positive.\nAnswer: i**(29\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223654 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5418 and 18060.\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -2.5. Let t = 46486 - 46487. What is the second biggest value in t, d, 66, -2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1746 + 1711. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(-2 + 5))\/(-1) + -7. Let d(b) = b**2 + 4*b - 56. Let n(h) = 2*h - 9. What is the least common multiple of d(q) and n(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -182886 and 21?\nAnswer: 182907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m + 126. Let q be x(0). Let t be 3 + (-18)\/q + 40\/(-14). Suppose t = -63*b + 59*b + 372. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b - 80*b + 6 = 0. Let a be (b\/24 + (-18)\/8)*26. Which is smaller: a or -51?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let v(s) = 57*s - 5. Let b(q) = 28*q - 3. Let x(t) = f*v(t) - 5*b(t). Is x(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (166350\/60)\/(15\/18) - 0 is divided by 50?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 1353072*d - 152566986432.\nAnswer: -3*(d + 225512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732034?\nAnswer: 2, 31, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 12. Let g be o(-9). Suppose -50*b + 80 = -g*b. 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: Which is the closest to 10? (a) 0 (b) -1.804 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(300)\/((sqrt(972) + sqrt(972)*3 + sqrt(972) - sqrt(972)) + sqrt(972)))\/((sqrt(45)*2 - sqrt(5)) + sqrt(45)\/sqrt(225)).\nAnswer: -1 + sqrt(5)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)*j)\/j**(2\/15))\/(((j\/(j**(-2\/11)\/j))\/j)\/(j\/j**(2\/9)))*((j\/(j\/j**(-1))*j)\/j)**(-49)\/(j**(-1\/7)\/j*j*j**(1\/4)) assuming j is positive.\nAnswer: j**(679447\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**6\/15 - h**5\/4 + 29*h**4\/12 - 38*h. Find the third derivative of q(m) wrt m.\nAnswer: -48*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j**2 - 10*j + 12. Give i(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 0*h - 4*h)*(-73*h**2 + 33*h**2 + 71*h**2) to the form p + f*h**2 + w*h**3 + y*h and give w.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 248146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12440 is divided by 300?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -11. Let x(i) = 20*i - 7. Let a(t) = 19*t - 6. Let b(z) = -7*a(z) + 6*x(z). Does 13 divide b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044.33 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14721264 + 23421259. Let n be g - ((3 - 6) + -2). What is n rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:49 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuruuuuuruuuuuruu. What is prob of picking 1 r and 3 u?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + l - 105 = 0, 0 = -4*q + 3*l - l + 70. Suppose -q = -2*y - 2*y. Suppose 3*g + 46 = y*g. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*sqrt(39)\/sqrt(3) - (sqrt(117) + 3*(sqrt(117) + 0) - sqrt(117)))**2.\nAnswer: -104*sqrt(13) + 2213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/662311?\nAnswer: 3\/662311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585729706 divided by 2.\nAnswer: 292864853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(405) - sqrt(405) - sqrt(405))*2 + 3.\nAnswer: -18*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + p + 2 = 0, -f - 3*p + 2 = -4*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 3*t)*(1313*t**3 - 2680*t**3 + 198 + 1345*t**3 + 9).\nAnswer: 22*t**4 - 207*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 2*j**2 + 0 - 306*j**3 - 7*j**3 + 0.\nAnswer: -313*j**3 - 2*j**2 - 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + -46 + (39 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/265 in 58, 3\/4, -0.1, 15, -41, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1364644437 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = -7. Let i be 4\/j*(-9)\/(-18). Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49\/14*16\/1034. Let c = k - -6\/47. What is the nearest to 0.1 in c, -4, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 2, -6, -24\/59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(1 + 142\/(-6)) and 66\/726 - 29\/77.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/11 and 1*-1 - 7\/70?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-14) - (16\/28)\/1. Factor b + 1\/3*a**2 + 0*a - 1\/3*a**3.\nAnswer: -a**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2450)*4 - sqrt(2450))\/(sqrt(60)\/(-3*sqrt(6))).\nAnswer: -63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.77477mg to tonnes.\nAnswer: 0.00000000277477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 4*(-145)\/(-100). What is the closest to -0.1 in -2\/7, -5, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294927031.\nAnswer: 7, 6018919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -71971*i - 7. Let z(t) = 35987*t + 3. Let q(d) = -4*o(d) - 9*z(d). Let w be q(-1). Round w to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*d**3*v + 77*d**3 - d**2 - 831504*d*v - 26326 wrt v.\nAnswer: 67*d**3 - 831504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Suppose 0 = 3*z + 2*z - 55. Let p(s) = 3*s - z*s + 3 - 2. Calculate p(b) - 6*w(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in -21\/4, -23\/2, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -0.2, -0.3.\nAnswer: -5, -2, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 127008881 in decreasing order.\nAnswer: 127008881, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*l + 0*l = -1, 5*m + 5 = 4*l. Suppose -m*k = 15, 5*f + k + 3*k - 15 = 0. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2085185*a**3 - 227*a + 311 wrt a.\nAnswer: 12511110*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370*k**4 - 12409*k**3 + 24*k**2 + 375217176.\nAnswer: -1480*k**3 - 37227*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*s**5 + 2*s**3 - 27*s**2*x**3 - 4375*s*x**3 - 6*s wrt s.\nAnswer: -620*s**3 + 12*s - 54*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*y**3 - 39*y**3 - 74*y**3 - 32*y**3 - 71*y**3 - 49*y**3.\nAnswer: -130*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12 and -37\/1818?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 9 - 0. Let s = 20 + y. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 8 + 24*d - 11 as i + v*d and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -37 + 36, 4*j - m - 103 = 0. Suppose j*g + 18*g = 528. Solve -3*f - g + 3 = 0, -2*q + 4*f + 16 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -616, -1380, -2460, -3862?\nAnswer: -5592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-70)\/(-3))\/((-12)\/(-18)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 1, g: 1, n: 2}. What is prob of sequence tvgn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g + 2. Let n(p) = -p**2 + 29*p + 11. Calculate 11*a(t) - 2*n(t).\nAnswer: 2*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 - 79521615*k = 0.\nAnswer: 0, 15904323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(30) + (2*sqrt(180))\/sqrt(6)))\/(-4*-1*sqrt(6)*-5).\nAnswer: -9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -84449.5?\nAnswer: 8444.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 5 + (-1 + 4 - 5)*(-4 + 1 + 4) - 2 - 1 + 4 + (-4 + 4 + 2)*(1 + 1 + 0) + 0 + 0 + 1 + 0 + 1 - 2 - 3 + 4 + 0)*(-3 + 10 - 6)*(-11 + 11 - 4*k).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123.1 + -130. Let i = k + 6.97. What is i rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824037692.\nAnswer: 2, 809, 254647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/5, -2\/1533, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - (sqrt(960) - 1*sqrt(960)))\/(sqrt(3)*2*-6) + (-2*sqrt(500) + 1 + 2)*-1)**2.\nAnswer: -116*sqrt(5) + 16901\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 4, d: 1, z: 12}. Give prob of sequence ooj.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - -70.8. Which is smaller: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7602 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 6*q - 6*q)*(-4 + 2 + 1) + (-q - 2*q + 2*q)*(-4 + 0 + 2).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*b*i**2*x**2 + 8*b*x**3 - 5784*i**2*x**2 + i*x**3 wrt b?\nAnswer: -151*i**2*x**2 + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44062976 is divided by 23118?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2132 + -1936. What is the greatest common factor of k and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188449 + (-12)\/4 - -13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2640, 2014, 972, -486, -2360?\nAnswer: -4650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - m**2 - 5*m**2 + (-m + 0*m + 2*m)*(3*m - 6*m + m) - 13*m**2 - 11*m**2 + 8*m**2 + 3*m + 9 + m**2 - 9 as u*m + i*m**2 + z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105 is divided by 2039.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -8, 0, -22 in decreasing order.\nAnswer: 15, 0, -1, -8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5206.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 25*v**2 + 2*v + 2. Let t be h(-10). Suppose o = -6 + 8, t = 2*x - o. Is x a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sshhhhs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 1084675438.\nAnswer: 1084675437.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*q**4 - 82*q**2 - 831*q + 613 + 418*q + 413*q wrt q?\nAnswer: 20*q**3 - 164*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84512297 or 84512300?\nAnswer: 84512300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 159, 406, 803, 1338, 1999?\n\"Answer: -2*d**3 + 87*d**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -29) + (24 - ((22 - (8 + 2)) + 3))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147413418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 994496000 rounded to the nearest 1000000?\nAnswer: 994000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 30 = 5*y, 3 = 2*x - 7 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.1643 meters in millimeters?\nAnswer: 378164.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7798, 15595, 23390, 31183, 38974, 46763?\nAnswer: 54550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66778592 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11111, 11109, 11107, 11105, 11103?\n\"Answer: -2*i + 11113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 3*d**2 - 7*d + d**3 + 5*d. Suppose -4*q = 3*s + 273, -3*s - 333 = s - 5*q. Let f = s - -85. What is r(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 51356?\nAnswer: 51364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7088*o**3 - 4 - 4663*o**3 + 4*o**2 + 266*o**2 wrt o?\nAnswer: 14550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24722*-2455\nAnswer: 606.9251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 2, p: 1}. What is prob of sequence jrjr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11077665*3.1\nAnswer: -34340761.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15700 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2, -0.07, 0, -0.05 in decreasing order.\nAnswer: 0, -0.05, -0.07, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -26*h - 4*z + 13*z + 60, -3 = -h + 3*z + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 0, -33*p - 8*b = -29*p - 36480. Is p a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17403*t - 104599. Calculate w(-6).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4470 - 4468. Solve -2*c - 11*o + 8 = -10*o, -i*o = 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 14*l - 6. Let p be k(13). Find the second derivative of p*v - 9*v - 3*v**3 - v wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 51*u - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*x**4 + 11854875*p*x**3 + 1407*p*x - 101*x + 9 wrt x?\nAnswer: 24*p*x**2 + 71129250*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 7. Let a be -4 + (12 - 4) + -4. Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.99925 - 20. Round k to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4154288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:51 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 630 - 542. What is the closest to 0.1 in w, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 3, c: 10, a: 4, u: 1}. What is prob of sequence uc?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 minus 0.59?\nAnswer: 167.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -29. Let f be 0 + -12 + (-2)\/(-2). Let p = h - f. What is the greatest common divisor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 11 = f + 5*z, -5*f + 90 = 3*z. Does 15 divide (5\/f)\/1*237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71523336?\nAnswer: 2, 3, 2980139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 312, 485, 678, 897, 1148, 1437, 1770?\nAnswer: 2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5)\/1 - 0. Let j(h) = 13*h - 8. Let z(t) = -12*t + 9. Let i(n) = g*z(n) - 5*j(n). Is i(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1339\/836 - 30\/19. Put 2\/9, -2\/7, k, -2 in descending order.\nAnswer: 2\/9, k, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + y + y - 6*y**2 - y. Let f(m) = m**2 + m. Let d(r) = -5*f(r) - x(r). Find the second derivative of d(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*d**3 - 319*d**3 - 6866*d**3 - 1058*d**3.\nAnswer: -7483*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48415043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u = -67*u + 99 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/(-9) + 10\/6. Let v = o + 44. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/(t**(1\/3)\/t)*t)\/t*t*t)\/t)**(-5\/13)*t**(-1)*t\/t**(2\/27) assuming t is positive.\nAnswer: t**(-656\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 10*t - 3. Let u be ((-20)\/(-8))\/5*2. Let h(g) = -g. Let c(q) = u*z(q) - 6*h(q). Determine c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxjhe. Give prob of picking 1 x, 1 e, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 d, and 1 f when four letters picked without replacement from {u: 6, d: 3, y: 2, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34\/11 + -350\/99. Which is the nearest to 0? (a) 4\/11 (b) f (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, -5, -4.162, -0.2 in ascending order.\nAnswer: -5, -4.162, -0.2, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42a8 - -5830?\nAnswer: a028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/2)\/(0 - 2). Let a be 44\/121*3\/2. Let m = a + -1\/22. What is the third biggest value in -0.1, f, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000543 to seven dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 46718*o - 92126*o + 46158*o + 9 in the form b*o + c and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466184982.\nAnswer: 2, 3, 17, 4570441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 193*u + 2696. Give t(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2 - 3*j - 4. Let r be h(-2). Let q be (-14 - -4)\/(4 - r). Find the second derivative of -3*z**3 + 12*z**3 + 15*z - q*z**3 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.6 - -11. What is the nearest to 0 in h, -2, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 1410682*a**2 + 5642716*a - 5642712.\nAnswer: (a - 1410678)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 + (-19 - (21 - 23)) - -10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1623 - 321 - 3*b - 325 - 326 - 330 - 324.\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in 1\/6, -2\/3, -0.9, 10, 3\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:38 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731718?\nAnswer: 2, 3, 13, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*v - 4*l, -v + 178 = 9*l + 222 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j - 257. Let q be g(34). Differentiate -29*b**3 - 63 + 104*b**3 + q - 121 wrt b.\nAnswer: 225*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -18. Let c be (-3 - t) + 39 + -5 + 4. Suppose v + 33 = c. Solve 4*a - v - 8 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Suppose u - j - 2 = 0. Solve -2*m - u*k = -3*m + 6, 3*m = 3*k - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbcm when four letters picked without replacement from {b: 4, c: 1, m: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5378430 and 660.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106172 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 303\/(-33) - 4\/(-22). Let j = v - -3. Let w(t) = 8 - 1 + 320816*t - 320814*t. Give w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 2\/869, 0, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033550 is divided by 22967?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 1. Let d be r(1). Suppose -d*i = -2*i - 12. What are the prime factors of (-2)\/(i\/(-33) - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1522.967 - 1522. Let t = l + 44.933. Let c = t - 46. What is the closest to c in 5, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1108*-44.\nAnswer: -48752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2 + 182976580*i = 0.\nAnswer: -45744145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x*x)**(-2\/25)*x**(-7)\/(((x**(2\/5)*x*x)\/x*x*x)\/x) assuming x is positive.\nAnswer: x**(-241\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = l + 1. Let j = -7 - l. Let y(z) = z - 4. What is y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**15)**30\/(p**(1\/14)\/p**(-2)) assuming p is positive.\nAnswer: p**(6271\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + i + 1. Let g(h) = h + 5. Let v be ((-4)\/6)\/(4\/78). Let q be g(v). Let u(w) = -10*w**3 + 8*w**2 + 8*w + 8. Give q*m(l) + u(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -15*x**3 + 91 - 1035*x - 260*x**2 + 61 + 658 + 0*x**3 = 0?\nAnswer: -9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 9}. What is prob of sequence ct?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 62*k - 141. Is y(-33) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 - 5*p - 11. Let o be f(6). Let q be (o - 0)*(-32)\/80. Suppose -q*m = -6*m + 8. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7217392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v**3 + 2*v - 751 - 2*v + 425 + 326.\nAnswer: -47*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, -5, -409.86?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.034599, 6, -9, -0.03 in descending order.\nAnswer: 6, 0.034599, -0.03, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*f + 2*f + 13, -5 = f. Let k = 885 - 880. Suppose -4*h + 3 + 9 = 0. Put h, b, k in descending order.\nAnswer: k, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Suppose -o*l + l = -326. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4266.6 and 95.5?\nAnswer: -407460.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = -11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1517 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.37 in 0, 1\/5, 1\/18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d**2 + 3121*d + 178. Give m(-260).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 1 + 0*c**2 + 3 - c**2. Let w be q(0). Suppose -3*v + 21 = 3*n, -2*v - 8 = -4*v - w*n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/6)\/(((-13)\/(-8))\/13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**6\/120 - a**4\/2 - 7*a**3\/6 + 9*a**2. Let o be d(4). Suppose 12*m = o*m + 12. Solve -m*p + 20 = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**3\/3 + 7*m**2\/2 - 7*m. What is the units digit of i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-540)*3\/(-3)*3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:18 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -403723*d**2. Let s(m) = -19*m**2. Calculate s(x(u)).\nAnswer: -3096852953851*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j + 21. Suppose -10 + 19 = -k. What are the prime factors of q(k)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-31 + 14) - 16 - (3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 - 6. Put u, -0.3, 1.3, -0.2 in descending order.\nAnswer: 1.3, u, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19310, -5 in decreasing order.\nAnswer: 19310, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 242558950 divided by 4\nAnswer: 121279475\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*n**3 + 3*n - 9*n + 18*n**3 wrt n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 206)*(8\/20 - 0) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 12804 = 5*c. Let o = c - -4586. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127289730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*(-48)\/(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -500 - 7*h - 405 + 2*h**2 + 8*h + 1161 + 2274 in the form i*h**2 + p + o*h and give p.\nAnswer: 2530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -65, -2, 5 in descending order.\nAnswer: 5, 0, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -38*c - 7567 - 37*c + 15103 + 850*c**2 - 7611. Let s(r) = 23*r**2 - 2*r - 2. Give -2*d(m) + 75*s(m).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307221454 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.3, -5, 1\/19 in decreasing order.\nAnswer: 0.3, 1\/19, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -889, -3591, -8095, -14401, -22509?\nAnswer: -32419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 798 = -s + 831, 5*s = 3*z + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:06 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/11)*g*g*((g\/(g\/((g\/g**(2\/23))\/g)*g))\/g)\/g)\/(g**(-1\/2))**(-37) assuming g is positive.\nAnswer: g**(-9313\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Suppose 6*t + 20 = 10*t. Determine h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + v + 6 = 0, -19*v = -2*x - 15*v - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 + -422?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 40. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-479)\/(-3))\/(37\/555). Does w = -14375\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m + 7. Let x be s(3). Let t = x - -58. Suppose -190 = -t*j + 24*j. List the prime factors of j.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y - 4*f + 5, -2*y + 22 = -4*f. Suppose -d + y = 6. Sort 4, -6, 0, d in descending order.\nAnswer: 4, d, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407482000 rounded to the nearest 1000000?\nAnswer: -1407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-480) - 10\/16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9219 and 1417092.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244967624 and 4642.\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609694948 divided by -3?\nAnswer: -609694948\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 495*u - 41267 + 40277 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24580893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.127547 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w + 20 = 0. Let v = -3 + w. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5014, -20034, -45052, -80062, -125058, -180034, -244984, -319902?\nAnswer: -404782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1062 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*h + 3)*(7 + 2843*h + 31*h**2 - 2843*h) - 2*h**3 - 3 + 3.\nAnswer: 60*h**3 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6080 = -7*s. Let l be (-4)\/10 + s\/10. What is the units digit of l\/(-6) + 20\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004383213 to 6 dps.\nAnswer: 0.000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -43, 2, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 760416 - 760544.9911. Let o = k + 129. Round o to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 1, -46, 158, -2, 2 in increasing order.\nAnswer: -118, -46, -2, 1, 2, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 divided by -34?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -38 - (0\/2)\/5. Let k be (16\/2)\/(4\/h). Let x be 1070\/(-8) - 57\/k. Round x to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-196)\/(-147))\/(4\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -100*d + 6. Let h(t) = -t. Let p(u) = 3*h(u) - v(u). Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 19*s**2 - 38*s + 71. Let f be z(17). Let u(k) be the first derivative of -14\/3*k**f + 2 + 0*k + 0*k**2. Let c(l) = l**2. Calculate c(u(x)).\nAnswer: 196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138718 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3728 + 0.0272. Let f = 223\/427 + 3\/61. Put -4, v, 0.2, f in increasing order.\nAnswer: -4, 0.2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.003 - 0.077. Let k = t + 1.7. Let o = 0.08 + k. What is the second smallest value in o, -4, 1\/10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 11*y = 18*y. Solve -t + y = 4*j - 1, -5*t - 4*j = -21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -120, -3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3007, 6079, 9151, 12223, 15295, 18367?\nAnswer: 21439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/364475 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5394\/11 less than -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8868611 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*v + 949 = -157*v + 161*v - 5681 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 2 + 2\/(-2). Let f(j) = -j + 1. Let n be f(-2). Suppose -2*a = -5*i + 17, -i + n*a - t = -9. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47454 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/25)\/((-382)\/(-190) - 2). Suppose -28 + s = -5*h. Is -3 + 3 - (h - -2 - 72) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w - 2*o, -14 = -3*w + o. Suppose w*u + 4 = 16. Let x = -8433 + 8449. Solve -u*b = b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-1)\/(-8)). Let s = m + 7. Do 4 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/15400 and -67\/121660.\nAnswer: 1216600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 139 = -f, -y - 4*f - 23 = -73. Let m = -18 + y. Let p = -12 + m. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3779050 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*s**4 + 19*s**4 - 3*s**3 + 0 + 0 - 125642*s**2 + 125617*s**2 as z + n*s + i*s**2 + j*s**3 + p*s**4 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -794.6 rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/9 + 48\/7. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -167*q**2\/3 + 5512*q\/9 - 11\/9.\nAnswer: -(q - 11)*(501*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2703 is divided by 169?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46894, 46913, 46960, 47047, 47186, 47389?\n\"Answer: 2*x**3 + 2*x**2 - x + 46891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 - 30 = 5*i, -4*i - 36 = -3*h. What is the remainder when 12 is divided by 36\/h - (-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-14)\/(-7)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -30 + 32 + 0 - (4 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9968 + -6937. What are the prime factors of n?\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13764 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010001001001010 (base 2) in base 8?\nAnswer: 221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15469*x**3*z + 510*x**2*z + 11*x*z wrt x.\nAnswer: -92814*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**3 + 123*b + 19*b**3 + b**2 + 121*b + 30*b**2 - 242*b to g + s*b + i*b**3 + x*b**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - 2*u)*(-2*u**3 + 2*u**3 - 3824*u**2 + 3404*u**2 + 8*u**3).\nAnswer: 8*u**4 - 420*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112276 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 0*v**2 - 314 - 2*v**2 + 4*v**2 + 214*v.\nAnswer: 2*v**2 + 214*v - 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:59 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/20 + 5*c**4\/24 - 5*c**3\/6 + 2*c**2. Let r(i) = -4*i**2 + 6*i - 6. Let t(k) = -6*b(k) + 5*r(k). Factor t(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from eiaieiaaua.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -38*m + 176. Is 8 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 123 - 228 + 121 = 4*f, -5*b = -2*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19 + 12\/3)*-1. Let d(a) = a**2 - a + 7. Let h be d(2). Let o be (-30)\/(-4)*6\/h. Solve 2*k + q = o*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:34 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278 + -120. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -10330231123?\nAnswer: -10330231200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 + 2447*u**3 + 14678*u**2\/3.\nAnswer: u**2*(u + 2)*(u + 7339)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -195.19+-58\nAnswer: -253.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 = -6. Let g = 4 - 10. Let l be 1\/k - g\/(-4). What is the third biggest value in l, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1492*r**3 - 15 + 744*r**3 + 747*r**3.\nAnswer: -r**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2) + (-59 - -38).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.5 + -45.7. Which is the second biggest value? (a) x (b) 2\/5 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3\/l*l**(-2\/3))\/((l\/l**(-2\/23))\/(l**9*l)))**(1\/22) assuming l is positive.\nAnswer: l**(707\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 2*v**2 - 8*v - 26*v**2 + 6*v + 1 + 6*v as x*v**2 + f + a*v and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10477, 1\/3, 2\/11, 0, 2\/3, 2\/19, 3?\nAnswer: -10477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193 by 634.\nAnswer: -193\/634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 at most 0.42938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c5 - f?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350762 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11534990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897785702.\nAnswer: 2, 3, 19, 109, 50909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59\/99 + 9\/11. Let x be -2 - 5\/((-5)\/2). Let j = -13 + 8. Which is the third smallest value? (a) i (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 593\/630 + -1\/126. Let s = y + -17\/20. Find o such that -1\/12*o + 0 - 1\/6*o**2 - s*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*v - 6 = 0, 3*v + 4 + 3 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1614554.404585 - -1614565. Let a = i - 11.5954147. Let m = a + 1. What is m rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*x**3 - 9*x**3 - 3 + 280*x**3 - 305*x**3 + 3*x.\nAnswer: -363*x**3 + 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 13916102.159271.\nAnswer: -13916102.159271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.783064 to one dp.\nAnswer: -123.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -6195.171?\nAnswer: -24780.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2076247 (base 11) to base 13.\nAnswer: 9ac184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 7) in base 13?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 110*s + 171668. Calculate h(-363).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*h = 4*h - 22, 4*i = h - 61. Let s = -32 + -8. Let p be i\/s - 16\/(-10). Solve -p*f = f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(-7 + 207\/27). Let n be 7 + -1*3 + 1. Let i be n\/(-10)*(l + 0)*-2. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -1 - 2. Suppose -v*q - 5 = -2*q. Let u(z) = -2*z**3 - 4*z**2 + 3*z - 3. Let g be u(q). Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*1)\/(sqrt(36)\/(sqrt(36)\/sqrt(4))) - (1 + sqrt(19)*1 + (-1 + sqrt(95)\/sqrt(5))**2).\nAnswer: -21 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 3*a + 4. Let x be i(-3). Suppose -u + 36 = 17*u. Let r(p) = -58*p + 3*p**3 - 3*p**u + 52*p - 2*p**3 + 4. Calculate r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 + 2*f**2)*(2 + f**2 - 2) + 599 - 599 - 27*f**4 + 47*f**3 + 5*f**4 - 47*f**3.\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742485913 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 232 = 41*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**15*(k*k\/(k\/((k\/k**(-16))\/k))*k)\/k*k)\/((k*k**(-4))\/k)**(18\/7))**(-19\/3))**11 assuming k is positive.\nAnswer: k**(-64790\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.683725ug in kilograms?\nAnswer: 0.000000000683725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3919*n + 4789051. What is o(-1222)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and -127459.108015.\nAnswer: -127458.988015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11014*z + 33039*z - 11181*z - 11433*z.\nAnswer: -589*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**7\/42 + 17*f**4\/12 - 7*f**3 - f**2\/2 + 3*f - 5. What is the second derivative of u(z) wrt z?\nAnswer: 20*z**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhlf when four letters picked without replacement from lpxphdfx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 16001?\nAnswer: 16024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 + m**4 + 0*m**3 + (-2*m**2 + m - m)*(7 - 7 - 8*m**2).\nAnswer: 17*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.39 + -0.21. Let z = t - -0.6. Let k = -0.8 - -0.3. Which is the biggest value? (a) k (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/26313 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 411, 374, -97, -1002?\n\"Answer: -217*x**2 + 614*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v - 1. Let k(q) = -q + 9. Let x be k(6). Let u be o(x). Solve 3*a - 2*c + u = 0, -a - 30 = 3*a + 5*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210.4 - 210.3. Which is the nearest to -0.2? (a) 2\/41 (b) -1 (c) h (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.2. Suppose 4*w - 21 = 5*r, 5*r + w + 4*w = -30. Let p be r\/(-10)*(-4)\/6. Which is the nearest to p? (a) d (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 1 - 6*b - 2*b**2 + 4*b. Let v(z) = -z**2 - z - 1. Determine -m(x) + 3*v(x).\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*i + 10799992 = 4*i, 0 = -3*c - i + 10800002. Suppose -12*q = -6*q - c. Round q to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.7 and -5.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (16449 - 6))\/(-42 + 40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, i: 1, u: 8}. Give prob of picking 2 u and 2 j.\nAnswer: 105\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34571021 and 2635459?\nAnswer: 587707357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51503, 103011, 154519, 206027, 257535?\nAnswer: 309043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14506 + -10143. What are the prime factors of t?\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 491994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 108\/162 + 9445\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (384\/480)\/(((-12)\/(-10))\/(-3)). Let r be k\/(35*(-6)\/(-30)). Put r, -0.2, 0 in ascending order.\nAnswer: r, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 21*b**2 + 7*b + 10. Let t(v) = -v**2. Let d(k) = -p(k) - 5*t(k). Let o(a) = 11*a**2 + 5*a + 7. Let x(f) = -5*d(f) - 7*o(f). Differentiate x(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + -163. Solve 4*x = -4*r - 12, 4*r = -t*x - 0*x - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203\/421791 + -1714977725\/241264452. Let u be (4604\/(-1144) - -2) + 2. Let i = u - s. What is the common denominator of i and 79\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 543 + -542.6. Which is the fourth biggest value? (a) 1.2 (b) g (c) -0.9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 4959.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/7 + 174*y**3\/7 - 4024*y**2\/7 + 1416*y + 2016 = 0. What is y?\nAnswer: -1, 4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 17. What is the remainder when 36 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3\/7 + 1420*q**2 - 59131252*q\/7 + 52879396508\/7 = 0?\nAnswer: -5567, 1541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**4 + 4*m**3 - 84*m**2 + 44*m + 24 = 0?\nAnswer: -3, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508080 and 1590?\nAnswer: 26928240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 1. Let x be b(-1). Let z = 228529 + -228527. What is the greatest common factor of z and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -440?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/4 - 1121*r\/2 - 6717\/4 = 0.\nAnswer: -2239, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*g + 5*g - 4*g)*(g + 5 - 5) + 3 + 2*g**2 - 3)*(-243 + 81 - 83)*(-3 - 2 + 7) as s*g + b + n*g**2 and give n.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13069?\nAnswer: 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*t + 3*t. Let b(i) be the third derivative of -i**6\/60 + i**5\/30 + i**3\/6 + 91*i**2 - 9. Give b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -59935520*m**3 + 4 + 0 - m**2 + 59935519*m**3 + 3*m. Let d(k) = -2*k**3 - k**2 + 6*k + 7. Determine -6*d(u) + 11*w(u).\nAnswer: u**3 - 5*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3\/5 (c) -437 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 112020?\nAnswer: -112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5485 <= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*r - 5 = -3*s, -4*s = -3*r - 1. Let g be (-34)\/(-12) - s\/12. Let a(j) = -j + 4. Let h(b) = -3. Calculate g*a(f) + 4*h(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2857 or -2856?\nAnswer: -2857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q + 3*q. Suppose 0 = -q*i + 4 + 12. Let n be (-5)\/(-2)*i\/10. Solve 0 = -5*a - 4*t + 9, a - n*t = 5*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -24. Let u = 8 + t. Let n be (-5489997)\/9 - (-1)\/u. What is n rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-2\/7))**(-3\/20) assuming p is positive.\nAnswer: p**(-3\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343047371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 115 (c) -0.2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-10))\/((-15)\/((-146550)\/4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/18 - -1)\/(-223 + (-212262)\/(-952)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, 0.02, 0.1, 717, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 7, 169.\nAnswer: -1, 3, 7, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-12)\/t)\/(t**(2\/13)*t))**(14\/3) assuming t is positive.\nAnswer: t**(-2576\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -6303 and 44.\nAnswer: -6259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 21)\/(((-20)\/(-40))\/(20\/16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.3 - -20. Let p = i - -0.3. Let w = 41 - 42. Put p, 4\/3, w in descending order.\nAnswer: 4\/3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, x: 5, o: 4}. What is prob of picking 1 x, 1 o, and 2 v?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28708505741 - 5\nAnswer: -28708505746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*j = -42. Let q be 0 + (-2)\/(2 + -3). Solve -3*h + 11 = 4*k, -5*k = -q*h + 6*h - j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160441 is divided by 80182?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4433\/791 + -36\/113. What is the common denominator of (-2)\/(-17) + (-1)\/(-187)*-107 and a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-4*z**4 - 2*z**4 + 8*z**4).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 658, 2219, 4824, 8473, 13166?\n\"Answer: 522*v**2 - 5*v + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 94740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 2587*t. Let y(m) = -109*m. What is y(s(h))?\nAnswer: 218*h**2 - 281983*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1278289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 68.2 * -2.0575\nAnswer: -140.3215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -584 + 634. Which is the third biggest value? (a) 1\/4 (b) -5\/4 (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*t - 141*t + 395*t - 85*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 0*v**2 + v**2 + 2*v**2 - v**2 + v**2 + (1 + 2*v - 1)*(99 + 10*v - 99) as c + p*v**2 + k*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.37, -0.3, 5, 128?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -29*l - 55. Let g be u(-4). Which is bigger: 66 or g?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 4. Let q(v) = -v - 5. Let i(u) = -3*n(u) - 4*q(u). Let l(y) = -y**2 - 3*y + 3. Let b be l(-3). Let f be 16\/(-6)*b\/2. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -2\/292265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1044, 4, 1, 0.5, 3 in decreasing order.\nAnswer: 1044, 4, 3, 1, 0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 25, 45, 63, 73, 69?\n\"Answer: -g**3 + 8*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*(((p\/(p\/p**(5\/4))*p)\/p)\/p)\/p*(p\/(p\/((p\/(p*p**(2\/5)))\/p)*p))\/(p**(8\/7)*p))\/((p*p**2)**21\/(p\/p**0*p**(-2\/15)\/p*p*p)) assuming p is positive.\nAnswer: p**(-25379\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 282 = -5*s, -s = -u - 21 + 76. What are the prime factors of (s\/(-21))\/((-1)\/((-486)\/4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {b: 4, z: 6, q: 4, j: 4}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(96)*-4)\/sqrt(2) + ((sqrt(120)\/sqrt(4) - sqrt(30))*-5)\/sqrt(10).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:11 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46835.\nAnswer: 5, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -23963.\nAnswer: 101\/23963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 11. Let v(i) = -2*i**2 - 11*i - 6. Let y be v(-4). Determine w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 2*p**2 + p**3 + 1 + p**2 + 3*p**4 + 0*p**4 to the form b*p**4 + q*p**3 + s + t*p + y*p**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 42596 = -13*i. 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 9 minutes after 1:49 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 4*w**2 + 5*w + 7. Let n be z(-5). Let v = n + -4. What is the common denominator of ((-158)\/8)\/((-6)\/v) and 107\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*2\/(-2))\/(34\/68).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o + 96*o + 18 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -120. Solve 5 = -a*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 93, 98?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {e: 1, y: 2, a: 1, l: 1, k: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 9 = -53. Let p be (1\/2)\/((-6)\/f + 1). Let y(o) = 73*o**2 - 2*o - 1. What is the units digit of y(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43581\/958 + -4\/479. Find the common denominator of -7 - ((-564)\/33 - -6) and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 13*w**2 - 14*w + 4. What is k(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:42 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 11*t - 10. Let s be d(-10). Solve -5*z - 19 - 6 = s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1449\/(-84) - (-1 + 3))*(-47 - (-2979)\/63).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 2671279*b\/2 + 40068735.\nAnswer: (b + 30)*(b + 2671249)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 175487598, 175487597, 175487596, 175487595, 175487594?\n\"Answer: -r + 175487599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14243 - -3?\nAnswer: 14301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 2*h - h**2 - 3*h - 5*h**3 to n*h**3 + w*h**2 + u + f*h and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let q(m) = -2*m**3 + 6*m**2 + 3. Suppose -13 = 5*l + 8*l. Determine l*q(d) + 5*x(d).\nAnswer: 2*d**3 - d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 + c. Let i(a) be the third derivative of -a**6\/24 + a**5\/10 + a**4\/4 + 2*a**3\/3 + 380*a**2. Determine -i(z) + 6*l(z).\nAnswer: -z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 13 (c) 0.6 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -295*u + 1191. Suppose -5*p = -0*p - 25, -4*k = 4*p - 324. Calculate the remainder when k is divided by g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 5, 6, -20, -3, -1 in increasing order.\nAnswer: -20, -3, -1, 5, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Suppose 0 = -w*b + 2*b. Suppose -5*a + 4*m + 30 = b, 7*a + 2*m = 2*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - h = -23, 6 = 2*m + 3*h - 14. What is the smallest value in 2, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75.017 - 71.3. Let v = -0.123 - k. Round v to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 0.04\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 161*q**2\/3 + 1385*q + 9825.\nAnswer: (q + 15)**2*(q + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 10 - 7*z + 2*z + 7*z + 17.\nAnswer: 2*z + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 67 = -23 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -4. Let b be (-34)\/(-6) - m\/(-6). Solve -b*d = -d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109.5 + 120. Let q = -10.4925 + z. Round q to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**5 + 3*t**4 + 21*t**3 + 4*t**2 + 9. Let n(a) = -a**5 - a**4 - 5*a**3 - a**2 - 2. Let f(q) = 9*n(q) + 2*o(q). Factor f(i).\nAnswer: -i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332809015, -332809016, -332809017, -332809018?\nAnswer: -332809019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:51 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(637) + 1 + sqrt(637) + sqrt(637) + (sqrt(637) - -1*sqrt(637) - sqrt(637)) + 4 - (-4 + 5 + -2 + sqrt(637))) + -3)**2.\nAnswer: -17226 - 378*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 478 - 334. Suppose 36*b**3 + 24 + 3*b**4 - q*b + 80*b + 7*b**4 - 6*b**2 = 0. What is b?\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20914*p - 6120*p + 7985*p to n + l*p and give l.\nAnswer: -19049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7 - 61*l**2 - 9 as i*l + p + g*l**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1392, 1396, 1402, 1410, 1420?\n\"Answer: k**2 + k + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 > 14.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1116, 1082, 1048, 1014?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:33 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 813683*h + 5 + 2377*h**2 - 814109*h wrt h.\nAnswer: 4754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51594.59 milligrams to tonnes.\nAnswer: 0.00005159459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -33. Suppose 3*g = 5*g - 4*q + 8, -3*g + 5*q = 15. Is l\/40 + (-236)\/g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0963864 - 11.458.\nAnswer: -11.3616136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -103*k - 1896. Let u be i(-42). What is the highest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 4*z**2 - 3*z - 1. Let l be a(-4). Let n = -37 + l. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/823 (b) -2\/3 (c) 0.013 (d) -2 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2 - 2768*p + 957728 = 0.\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-696 + 4 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 194, 376, 522, 614, 634, 564, 386, 82?\n\"Answer: -3*b**3 + 203*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 6. Let k(z) = -2*z + 12*z**3 + 8 - 13*z**3 - 15 - 6*z**2. Let c be k(l). Solve -c*j = -10 - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3862*h - 1929*h - 1915*h. Let z(o) = -30*o. Give w(z(y)).\nAnswer: -540*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3588 - -3587.9. Which is the closest to 2\/9? (a) -2\/3 (b) u (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b + 487. Let m(v) = -2*v - 1. Calculate 6*m(l) + t(l).\nAnswer: -2*l + 481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 117\/54 - ((-14)\/4 + 4)*4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) -1\/4 (c) -2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22886 by -3.\nAnswer: -22886\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, h: 2}. Give prob of sequence hyyh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*q - 6, 2*q = -4*m + 5*q + 7. What is the hundreds digit of (-6)\/((-96)\/9170) - m\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 4, 59001, -0.4, -4 in increasing order.\nAnswer: -4, -0.4, -0.2, 3, 4, 59001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1884*h - 50252. What is r(27)?\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010329 to four decimal places.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273119257*x + 47*x**2 - 273119257*x.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 4*g**2 - 4*g + 3. Suppose -22*x = 4*p - 20*x - 2, -3*p + 14 = -x. Determine y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230319343 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 253*v - 8.\nAnswer: 253*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16*w - 78. Let h be f(-5). Solve h*v - 24*j - 18 = -29*j, 12 = 3*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 11*f**2 - f + 1. Let p(w) = -w**3 - 10*w**2. Let a(i) = 4*j(i) + 5*p(i). Suppose -4*z = -4*b + 15 - 3, 3*z - 5*b = -5. What is a(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120 divided by 80\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1075 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71640 and -1.9?\nAnswer: 136116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7435\/3296?\nAnswer: -7435\/3296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let l = 1 + u. Suppose -16*m + 21*m = 2*g - 1, -3*g + m + 8 = 0. Sort g, 1, l in decreasing order.\nAnswer: g, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 divided by 44301?\nAnswer: 470\/44301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2 (b) 0.5 (c) 0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 9006827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(396) + -2 + sqrt(396) - 5*(-1 + sqrt(396)))**2*-4*1.\nAnswer: -14356 + 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13377 divided by 49?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g + 2. Let j be q(-5). Let z = -63\/2 + j. What is the closest to z in -0.4, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from lefeuululumluuf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/20 - h**3\/6 - h**2 + 2*h. Let r be f(0). What is the common denominator of 2\/4*(-12)\/r and 41\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 3992025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239543251?\nAnswer: 239543251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*u - 464*u - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*p + 9, -5*d + 1 = p + 4. Let c(l) be the third derivative of -1\/6*l**4 + 0*l - 1\/6*l**3 + 1\/60*l**5 + d + l**2. Determine c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Suppose 2*w = -p*w + 3315. Suppose -n + w = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 12*x = 20*x - 7*x + 3*o + 14, 0 = -x + 2*o - 4 + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = -d, 3*d = 6*d - 5*i + 45. Let a(s) = 840*s. Let o be a(d). What is o rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2 + 3*x - 4. Suppose 3*s = -3*b + 12, b = -3*s + 1 + 5. Let q(u) = u**2 - u. Let o(j) = s*g(j) + 5*q(j). Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2248049 divided by 1.\nAnswer: -2248049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 98, 150, 202, 254, 306?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f + 4 = 0, -4*f = -4*v - 48. What is the common denominator of -63\/4 and (2*v)\/(8\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243.3 * -6259\nAnswer: 1522814.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 68 = -t + 4*s, s + 15*s + 96 = -t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 - 0.05. Let x = -4.94 - -5. Let f = x + 1.94. Put b, 0.5, f in descending order.\nAnswer: f, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -56. Let n = 27 - k. Let p = -2.26 + n. What is p rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/23))**(-45)\/(c**(3\/10)*c*c**(-2\/11)) assuming c is positive.\nAnswer: c**(7071\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {x: 1, b: 4, f: 6, v: 1, z: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-100)\/4)\/75)\/(1\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 1 = b, b = 5*w - 1. Let z be (b*1)\/((-2)\/(-6)). Let f = z + 5. Solve 9 = f*n + n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(-344*j + 2 + 676*j - 354*j)*(0*j + j - 2*j) as n*j + p + a*j**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/(2\/(-6)). Let p be ((9 - -2)*2)\/x. Find the second derivative of -g**2 + 7*g**2 - 3*g + p*g - 4*g**2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 19. Let a = 23 + s. Suppose 0 = -2*g - a*p + 4*p - 11, g = -p + 2. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2dba2 (base 14) to base 8\nAnswer: 340162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 65?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -651, -1365, -2077, -2787?\n\"Answer: m**2 - 717*m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -23\/5, -1, 0.004, 3\/4 in ascending order.\nAnswer: -23\/5, -1, 0.004, 3\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1. Let a(l) = l + 23. Give -a(f) + 6*g(f).\nAnswer: -f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**8\/560 + x**7\/140 + x**6\/120 - x**3\/3 + 5. Let p(l) be the third derivative of t(l). Solve p(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-642)\/(-22) - ((-124)\/44 - -3). Suppose o = 2*w - 49. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d)*(5 - 6 + 17).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 3441?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19643 (base 10) to base 11.\nAnswer: -13838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 552*u**3 + u**2 - 1. Let y be j(1). Suppose 0 = -8*c + 5*c + y. What is c rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 + 28. What are the prime factors of w\/6*36\/(-6)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5500 and 146564?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208\/11, 0.5, -55 in increasing order.\nAnswer: -55, 0.5, 208\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 148472861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3\/3 - 2. Let g(d) be the second derivative of d**3\/3 - 3*d. Determine f(g(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -226131.\nAnswer: -226132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475 - 9977\/21. Which is the closest to 2? (a) 0.07 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(4\/1434). Let x = h - 375. Is (-3)\/6*x - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noldodoonq. What is prob of sequence dl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -7*y**5\/130 + y**4\/39 + 5*y + 5. Let k(z) be the first derivative of p(z). Solve k(t) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a - 1. Let p(o) = -6*o + 6. Let b(d) = 6*l(d) + p(d). Let j(i) = -14*i**2. What is j(b(t))?\nAnswer: -504*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -7?\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**3 + 0*b**3 + b**3)*(7 + 8 + 14) to y + d*b**3 + t*b**2 + p*b and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + 1 + 568\/64.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12*t**2 - 54*t - 44. Let z be d(-3). Let o = -2.1 - -1.6. Which is the second smallest value? (a) 0.2 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2777 + 2800. Which is the fourth smallest value? (a) -2 (b) t (c) -0.1 (d) 0.3 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -112957, -112783, -112621, -112477, -112357, -112267, -112213?\n\"Answer: -q**3 + 181*q - 113137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -15\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257665.67992 - -257496.8. Let t = v + 168.8. Let d = 0.08 + t. What is d rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6*4\/8)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2867 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2421, -2277, -2133, -1989, -1845?\n\"Answer: 144*d - 2565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0 - 8) + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -7.54937\nAnswer: -15.09874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = -5*j, -17*j + 16*j - 2*h = -6. Let g = -0.08 - 0.12. Let n = -0.1 + g. What is the third biggest value in j, 0, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28675971 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 1097. Let n(c) = -3*c**2. Calculate n(v(x)).\nAnswer: -3*x**2 - 6582*x - 3610227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 110. Let b be (8\/(-10))\/((-4)\/x). What is the second derivative of 11 - 16 - 13*u**b + 5 + 41*u wrt u?\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 36. Let s(o) = o - 9. Let r(i) = -d(i) + 4*s(i). Let u(g) = -27*g - 1. Give u(r(h)).\nAnswer: -162*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)*v**(-7\/6)*v**(-11)*v\/(v*v**4) assuming v is positive.\nAnswer: v**(-673\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -15 - (4 + -2) - -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-27)\/6) + (-371)\/318?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 4*g + 2*g - 2*g + 3*g - 2*g + (2 - 2 - g)*(-2 + 3 + 1).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45810 and 48.\nAnswer: 366480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {e: 7, m: 12}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a + 1. Let w(d) = -10*d - 1. Calculate -5*w(l) - 4*y(l).\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 109*b + 64. Let u be x(-55). Sort -3, u, 11.\nAnswer: -3, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -122. Suppose -2*z - 259 = 5*l, 4 = 2*l - u*z + 96. Let d be 1 - 0 - l\/(-85). What is the nearest to -3 in d, 2\/3, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 34. Suppose 13*q = 16*q - 3*w + 36, -3*w = 0. Let g be r(q). Find x such that -6\/5 + 3\/5*x - 3\/5*x**3 + 6\/5*x**g = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 1)\/(2\/(-5)). What is a in 2*a**4 + 213 + 4*a**n + 12*a**3 - 213 + 14*a**4 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744271 is divided by 372124.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, 1, -8, -4, -1, 5 in decreasing order.\nAnswer: 39, 5, 1, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 2*p**5 - 3*p**5 - p**5 - 2*p**3 + p**5 + 2*p**3 + (p - p + p**4)*(2 - 4*p - 2).\nAnswer: -5*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 318655, 637307, 955959, 1274611, 1593263?\n\"Answer: 318652*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13566 = -43*i + 38033. Calculate the remainder when i is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.743 - 0.443. Put -1\/4, -0.24, p, -1\/3 in decreasing order.\nAnswer: p, -0.24, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 0.607?\nAnswer: 0.607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4020 and 80340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504515177.\nAnswer: 1621, 311237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 7*k**2 + 65*k - 573. Calculate d(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2607 + 5119\/2. Let w(f) = -f + 2. Let g be w(3). Find the common denominator of (g\/(-6))\/((-4)\/474) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 3 + 0*n**2 + 0*n**3 - 17\/6*n**4 + 16*n + 11\/20*n**5 - 1\/15*n**6. What is the third derivative of d(a) wrt a?\nAnswer: -48*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 - 4*q. Let r be 3 - (-4)\/(-6 + 2). Let b(g) = 3*g - g + 3*g - 7*g**r. Let a(l) = -4*b(l) - 5*n(l). Let t(s) = -2*s**2. Give a(t(y)).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from ezvvvvzveyzuyzez.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 187736590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 35 - 2 = i, 3*i - u - 84 = 0. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 669 and -0.76?\nAnswer: -508.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**3 - 14*x - x + 15*x - 8*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105079307 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6223 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p + 6. Let a be 5*12\/10*p. Let l = 29 + a. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1296 + -11639\/9. Find the common denominator of x and -41\/73.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1752\/6145?\nAnswer: -1752\/6145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 5150*d**2 = 0.\nAnswer: -1030, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -4843 (c) 3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*z = 2241, 0*v - v + 5*z = -777. Solve v*r - 744*r + 24 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.5 - -22. Let a = s + -41. Round a to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2 - 270018192*n + 4556864000684304 = 0.\nAnswer: 33752274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:43 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -360*n - 28. Suppose 0 = -15*j - 85 + 10. What is the thousands digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)*r**2*r)\/((r**(-1\/2)\/r)\/r)**(-2\/27))**3 assuming r is positive.\nAnswer: r**(277\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1010560 at most -1010314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/410538 and -26\/15.\nAnswer: 2052690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161276 is divided by 560?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 712 and 6238?\nAnswer: 2220728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 3*d + 2 - 2*d + 9 - 13.\nAnswer: 14*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m - 20. Let z be u(-10). Suppose 3*l + 4*j = -z, 0 = 4*l + j - 69 + 194. Calculate the common denominator of 32\/3 and (-1 - -4) + (-21)\/l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v**3 - 3*v**2 - 7*v - 2. Let h be u(-5). Let d be 21\/(-1)*h\/66. Let q = d + 305. Put q, -1, 0.3 in decreasing order.\nAnswer: 0.3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*v**3*w - 1825*v**3 - 516*v**2*w - 12*v*w + 8*v + 4*w - 67 wrt w?\nAnswer: 5*v**3 - 516*v**2 - 12*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/198*(-1 - 14\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 - -228. What is the second biggest value in -1\/3, s, -5, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1438 - -1565. Suppose -12*y = -103 + d. Let p = 10 + -14. Which is the closest to 0.1? (a) -23\/3 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/((h*h*h**(1\/4))\/h))**14)**(4\/9) assuming h is positive.\nAnswer: h**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333289207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 22*n - 220 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11292017 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + n**2 - 3*n**2 - 5*n + 521.\nAnswer: -2*n**2 - 5*n + 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 173*r**2 - 660*r - 2703. Determine v(169).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1416 divided by 8\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v**2 + 3*v + 3. Let b(t) = -189*t**2 + 56*t + 56. Let p be 4\/((-16)\/12) + (84 - 1). Let k = p + -24. Calculate k*i(n) - 3*b(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/45)*x)*x*x*x**(-11\/5) assuming x is positive.\nAnswer: x**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(1900))**2 + sqrt(1900) + 4*2*sqrt(1900) + sqrt(1900) + -1)*-4.\nAnswer: -7612 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32323430031 + -11?\nAnswer: 32323430020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 4*g**2 + 2*g**2)*(-2*g - 4*g - 3*g)*(g - g - 2*g).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/886028 and 15\/4021204.\nAnswer: 52275652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(15 - 9) - -9743 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4857734712.\nAnswer: 2, 3, 19, 10652927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -93. Sort -7, 3, v.\nAnswer: -7, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/44 - (1 - 2)*2. Which is the biggest value? (a) -17 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/6 - 3\/(-2). Let p(o) = -978*o**3 - 1. Let z be p(a). Let i = -1377 + z. What is i rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-11) + (291\/33 - 2). Solve c = 2*u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 174*y + 220. Let a(g) = -9*g**2 + 1482*g + 1869. Let n(d) = -5*a(d) + 42*x(d). Factor n(m).\nAnswer: 3*(m - 35)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 4, r: 1, l: 2, w: 4, k: 6}. Give prob of sequence kbkb.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 14274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 2*r**2 + r - 4. Let s(n) = 5*n**2 + 101*n + 34. Calculate the least common multiple of s(-20) and m(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let x(h) = 1. Let u(r) = -5*r**2 - 20. Let f(d) = u(d) + 20*x(d). What is f(m(v))?\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, n: 1, u: 10}. Give prob of picking 2 r and 1 n.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3406701 + 4*n - 1135567 - 1135573 - 1135561.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 372.2*5\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/110 - (1 - 128\/10). What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(4\/(-4))*(-1)\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-64)*(-16)\/12?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201879, 0, -2 in descending order.\nAnswer: 201879, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 13*j + 12. Let t be s(-6). Suppose -274 = -2*q + 10*x - t*x, 0 = -3*q + 2*x + 431. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60333 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.577 + -2.319532632\nAnswer: -10.896532632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1452 and 8.\nAnswer: 11616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*g**2 + 3823*c**2 - 52*g**2 - 62*g + 2 wrt c.\nAnswer: -2*c*g**2 + 7646*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 37019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 bigger than 456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 9635884.\nAnswer: 9635889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*p + 93, -3*n + 22*p - 23*p + 103 = 0. Suppose 30 = 2*a - 34. Suppose -a*x - 268 = -n*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.2, -5\/6, -5, -8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1720 - -1719. Let a(l) = 1. Let n(d) = 2*d + 12. What is w*n(x) + 2*a(x)?\nAnswer: -2*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (217 - 4441 + 10929 + 11117 + 4734)*(3 - 3 - 2*m)*(2*m**3 + 0*m + 0*m) to n*m**3 + k*m + z*m**2 + r + a*m**4 and give a.\nAnswer: -90224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 1 + 2*b - 3*b**2 - 2 + 7 - 2. Suppose -10*g = -15*g + 10. Determine o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 + 2834*w\/7 + 5664\/7.\nAnswer: (w + 2)*(w + 2832)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + -27446358?\nAnswer: -27446410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011001010000000 (base 2) to base 5.\nAnswer: -110043210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 5*a - 3*a + 38*a**2.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152751941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3*y - 10*y**4 - 5*y + 25*y**4)*(-12 + 16 + 10).\nAnswer: 210*y**4 - 28*y**2 - 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16872664391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**3 - 31*v - 687?\nAnswer: -3*v**2 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9587*d**2 + 19*d - 40. Let l be c(3). Round l to the nearest one thousand.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*a - 24. Suppose 2*x = a*b - 2*b + 134, -5*b = -4*x + 266. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255083, -254890, -254695, -254498, -254299?\nAnswer: -254098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2954334 = 28*x + 331210. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z + 25\/4*z**2 + 25\/4*z**3 - 1.\nAnswer: (z + 1)*(5*z - 2)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 21 = 0. Which is smaller: k or 31\/5?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = 884 - 976 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 49 - 49 + 20*o**2 + 256 - 57 - 57.\nAnswer: 20*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5076)\/(-33) - (2 + 120\/(-55)). Suppose -3*k + 218 = -v. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -32177.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e3717 (base 15) to base 10.\nAnswer: -4517347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 2558*u**3 + 186589*u**2 - 184030*u.\nAnswer: -u*(u - 70)*(u - 1)*(u + 2629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -1*(-2)\/4*0. Let m(k) = k. Let h be m(-3). Is (-43)\/(-2 + h\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ba4 + 16?\nAnswer: -1b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 26 - (-6 + -13 + 34 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2506.55 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 1. Let q(b) = -3*b**2 + b + 6. Let g(n) = n**2 - 6*n. Let r be g(5). Calculate r*f(y) - q(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -13, -3, 23, 71, 147, 257?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31795865 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0\/((-16)\/(-4)). Suppose l + 2*l = s. Solve 2*o = -l*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1798 - -873d?\nAnswer: a0d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703 = 11*h - 496. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -98, -130, -160, -188?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/15 + 7*j**2. Let l(y) = -2*y. Give l(g(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -18\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -950334.\nAnswer: 1520534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65.09669 litres?\nAnswer: 65096.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -126. Let k(h) = 949383*h**2 - 2*h - 5. Let l be k(w). What is l rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16227238 less than or equal to -16227235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*-3 + sqrt(1134))\/((sqrt(504)\/sqrt(8))\/sqrt(9) + sqrt(7)) - -5*(-4 + sqrt(200) + 2 + 3)**2.\nAnswer: 91*sqrt(2) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*b = -5, 4*c + 0*c - 1 = 3*b. Suppose 5*o - 155 = -c*r, -r + o + 32 = -9. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229607784 divided by -10152\nAnswer: 22617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + f - 61495, -34*o = -31*o - 2*f - 184505. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465926943 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12404644.\nAnswer: 2, 7, 19, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 3\/2, -0.4, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q - q**2 + 0*q**3 - 1\/4*q**4 - 3. Let k = 3 - 5. What is y(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11287\/4, 5, -0.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 36*o - 20. Let q(f) = -830*f + 460. Let k(j) = 3*q(j) + 70*y(j). Differentiate k(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198701548 + -5?\nAnswer: -198701553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 1)*(-x**2 + 2*x**2 - 2*x**2)*((2*x + 0*x + 0*x)*(0*x**2 + 0*x**2 - 2*x**2) + 2 - 2 + 3*x**3 + 14*x**3 + 26*x**3 - 7*x**3).\nAnswer: -256*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115207 is divided by 7678?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43000 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 1:00 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8960000 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339*n - 411*n - 469*n + 47*n**2 - 459*n - 9*n**2.\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 9*g - 1. Let o = 7 + 0. List the prime factors of y(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 238 = 199. Suppose -j*p = -11*p - 24. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 31 + 45 - 103 - 239*u**2.\nAnswer: -239*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1854244)\/70*50\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/220 and -111\/400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 316252*o. Let y(b) = -7*b**2. Give y(x(n)).\nAnswer: -700107292528*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -272?\nAnswer: -217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 289263021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 93*w + 93*w - 10 + 3*w**2 + 11 - 3*w**3 as v*w**3 + s + n*w**2 + b*w**4 + j*w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 4*c**2 + c**2)*(c**2 - 1 + 1) - 49713*c**2 + 2121*c**4 + 49713*c**2.\nAnswer: 2119*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97596788 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 22, 96, 242, 484?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 + 17*f**2 + 125 - 230 as x*f + r*f**2 + v and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.03 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:23 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyp. What is prob of sequence pyq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*r + 1888 + 1852. Is -10 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7517.95 rounded to the nearest 10?\nAnswer: -7520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - 1881\/(-10640). Let f = o - 1\/16. Suppose 2*v - 8 = 2. What is the closest to -2\/7 in v, f, 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 48. Suppose -9*j + 14*j = 0. Let k be w(j). What is the highest common factor of k and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((10 - 1) + -5)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 1, h: 4, i: 3, p: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 221749 = 221715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:38 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r - 37*r + 549 = -15*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -3, 7, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 488*k**2 - 32*k - 2005120.\nAnswer: 976*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4349801981 to 5 decimal places.\nAnswer: -0.43498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-410)\/(-287))\/((-3*(-17)\/(-153))\/((-1)\/6))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:21 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)*2\/10. Let y(x) be the second derivative of 0 - 3\/4*x**4 - 1\/2*x**3 + a*x**2 - 4*x + 3\/10*x**6 - 3\/20*x**5 + 1\/7*x**7. Let y(s) = 0. What is s?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 44. What is l(-14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*5936\/3339.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 18*y - 65. Calculate j(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -22. Let w = p + 13. Let z = 0.2 + 1.8. Sort -1, z, w in decreasing order.\nAnswer: w, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*b = 503*b - 1132*b - 4366 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*w + 3*x = -6, -w + 2*x = 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/48 + 5*l**4\/32 + 1530*l**2. Factor c(q).\nAnswer: -5*q*(q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y + 19. Let a(d) = 2. Let m(f) = 4*a(f) - t(f). Let b be m(-5). Solve 10 = -4*q + b*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 1.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-3 - 3\/(-2)). Let o(p) = 8*p**2 - 3*p. Let k be o(-3). Suppose 20 = n + 2*a - 7, -k = -3*n - a. What is the highest common factor of v and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*u**2 - 5*i*u - 119*i + 51*u**3 - 2*u wrt u?\nAnswer: -4*i + 306*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-72))\/((-4)\/8))\/((-32)\/(-36)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34353901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.90411 - 0.19589. Which is the fourth biggest value? (a) 3\/4 (b) 69 (c) 3 (d) 2\/13 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3128 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Suppose -3*k + 5 = 17. Let f(c) = -4*c + 1. Let y(q) = -4*q + 1. Let l(m) = k*y(m) + 3*f(m). Let i(t) = t. Determine h*i(b) - l(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**33*l)\/l**41 assuming l is positive.\nAnswer: l**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 10. Let y be g(6). Suppose -5*p - a - 300 = -10*p, 60 = p + 2*a. Let j = y + p. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128474 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.119175 - -0.119. Round z to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u. Let i(g) = 22432*g. Give y(i(o)).\nAnswer: -224320*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**3 - 11*p**2 - p + 29. Let o(b) = -17*b**2 - 14*b**3 - b + 14*b**3 - 10*b**3 + 43. Let z(k) = -5*o(k) + 7*s(k). Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.6 - -27.5. What is the closest to m in -2\/3, -8, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -90. Suppose 0 = -2*k + w + 20, 3*k = 3*w + b - 7. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 303*n**2. Let m(g) = 6*g**2 + 16*g. Determine m(w(o)).\nAnswer: 550854*o**4 + 4848*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3821?\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2122 + 1372 + 1192)*(-r + 3*r - r) as c*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -3*t**3\/2 - 23*t**2 + 2*t. Let w be -54*6\/(-4)*142\/(-639). List the prime factors of x(w).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 - o**2 - 3. Let v = 4 + -1. Let b(g) = -5*g**3 - g**2 - 2. Let u(t) = v*b(t) - 2*i(t). Find the third derivative of u(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14585057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/40 and 120\/(-12) - 13311\/(-1440).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxo when four letters picked without replacement from ooxoxxooxoo?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -y - 55, 3*z = 2*z + 4. Let l = y + 62. What is the smallest common multiple of 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 3, i: 2, z: 2, n: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76\/5 - 74\/5*a - 2\/5*a**2.\nAnswer: -2*(a - 1)*(a + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x + 440 = -296 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18363254, -18363264, -18363274, -18363284, -18363294, -18363304?\nAnswer: -18363314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114301051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*12*4\/18. Suppose 0 = -b*h + 3*h + a + 51, -206 = -4*h + 5*a. Let 152*i + 10*i**2 - 68*i + 15 - h*i = 0. Calculate i.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 192*o**2 - o + 0 - 3 + 185*o**2 - o**3 + 4 - 376*o**2. Let f(r) = 5*r**3 - 4*r**2 + 5*r. Calculate f(s) + 4*n(s).\nAnswer: s**3 + s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v. Let n(g) = 34*g. Give d(n(j)).\nAnswer: 238*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Calculate the common denominator of 1\/10 and l\/(-8) + 50\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 56 = 2*g. Let u be (-17 + g)\/(1*(-3)\/2). Solve u*i - 12 = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8074, -3, 3, -47, -6.\nAnswer: -47, -6, -3, 3, 8074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2031, 3859.\nAnswer: 4, 2031, 3859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*t + 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(48) + sqrt(3) + (sqrt(48) + 2 - sqrt(3)) + (6*sqrt(147)*-2 - sqrt(147)))**2.\nAnswer: -347*sqrt(3) + 361291\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1.2, 2, 24, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -332462150 to the nearest one million.\nAnswer: -332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14.9. Which is the nearest to -1? (a) d (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 11. Let z be o(-13). Suppose 0 = z*w - 11*w. Solve 3*j + 15 = -3*f, -3*f + w*f + 2*j = 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 3537, 11937, 28293, 55257, 95481, 151617, 226317?\nAnswer: 322233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2855 - -2855.4. What is the fourth biggest value in -1.2, 1, -1\/4, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2395 + -616. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001046485 to six dps.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*((-1)\/(-5))\/((-123)\/11890).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23074 take away -0.5?\nAnswer: -23073.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 54325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.869003 millennia to years.\nAnswer: 3869.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 less than -0.201?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.97 + -0.03. Let x be 3\/7 + ((-30)\/(-6) - 6). Which is the second smallest value? (a) -4 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41110117 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0*c**2 - 5\/56*c**8 - 3*c - 1\/12*c**4 + 0*c**5 + 0*c**3 + 0*c**6 + 0*c**7 + 0. Find the third derivative of q(y) wrt y.\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6956408671\/74980 + 32473205\/326. Let b = -34174\/5 + c. Calculate the common denominator of b and 5\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/21088 and 39\/3632.\nAnswer: 4786976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 10. Let h(j) = -1. Let y(w) = 6*h(w) + o(w). Let f(z) = z**3 - 7*z**2 + 6*z - 4. Let u be f(6). Does 10 divide y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271830 divided by 54366\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -380 - -1100. What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884596 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:12 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 2*v**3 + v.\nAnswer: v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egnnnfnggnggeen. What is prob of picking 1 f, 2 n, and 1 g?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -768 - -12?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 38*j = -78 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -5*d**3\/3 - 15*d**2 - 40*d - 76. Factor h(p).\nAnswer: -5*(p + 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - b + 2. Let w be p(2). Let d be (15\/20)\/((-2)\/w). Let a be (-10)\/d + 2\/(-3). Is 1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/15)\/(4\/(-30)). Let q = 11 - r. Let i(k) = -k**2 - 9*k + 3. Let b be i(q). Solve 17 = 2*t - b*z, 0 = 3*z + 2*z + 25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -0.7. Let i = -0.6 - k. Which is the nearest to -0.1? (a) 4 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1767620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**2\/7 - 1890318*l\/7 + 297775178427\/7 = 0.\nAnswer: 315053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/((-6)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -190*p. Let w(o) = 24318*o**2 + 2*o. Calculate r(w(l)).\nAnswer: -4620420*l**2 - 380*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*u - 16653 = 23335 - 3028 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8328 + 1928 = 2*d. Let j = d - 1528. What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.320134 years?\nAnswer: 0.005320134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Let h be -2 - ((j - 7) + 2). Let m(r) = r + 2. Calculate m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 7967, 69 in descending order.\nAnswer: 7967, 69, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 6. Give y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12448843 is divided by 4151?\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5813\/7260 - 1\/1452. Which is the second smallest value? (a) 0.06 (b) -3 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c9 - 22?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46\/33 - 2\/33. Let l = -0.1 + 0. Let g = 65\/3 - 21. What is the closest to l in g, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -601?\nAnswer: 23\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 550*w**2 + 219*w - 15. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*i - 3*i - 8, -l - 2 = 5*i. Let n be -2 + 2 + l + -10. Let x be (n\/10)\/((-2)\/5). Sort x, 1, 0.3 in decreasing order.\nAnswer: x, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2 + 2 - g**2. Let d(r) = -37*r**2 - 2*r. Let a(q) = 4*b(q) - d(q). Let s(t) be the first derivative of t**2\/2 + 77575. Determine s(a(v)).\nAnswer: 33*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11060 * -0.054\nAnswer: -597.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 154 = -5*b - 6, -2*v - 5*b = -29. Let d = -4 + 8. Suppose o - d*o = -v. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 8*r - 7. Let d be m(9). Suppose -8 = -5*t + 2. What is the second derivative of -2*a**d - 6 + 6 + t*a wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - s**2 - 4*s + 9. Let q(t) = -t**3 - t**2 - t. Let c = -8614 - -8613. What is c*n(i) + 3*q(i)?\nAnswer: -i**3 - 2*i**2 + i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 6*v. Suppose -3*z + 4*z - v = 0, -5*g = -3*z + 108. Let d(j) = j**2 + 21*j + 9. Does 3 divide d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4*-2*0. Let c(w) = -w - w + i*w. Let u(m) = -4*m. Give c(u(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 268 = -2*z, 11*a - 10*a = 4*z + 76. Calculate the greatest common divisor of 170 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2020*t + 3030. Let y(h) = -h + 2. What is -v(f) + 1515*y(f)?\nAnswer: 505*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:51 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - (48 + -43) - -16) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 + 1061*d**2 - 143096*d + 4555140 = 0.\nAnswer: -1185, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 2, q: 3, s: 1, n: 1}. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*o**3 + 1261*o**2 - 1261*o**2 - 10*o.\nAnswer: 228*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/58 and 89\/10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aai when three letters picked without replacement from {m: 3, a: 2, g: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 115706346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = -160. Suppose 5*b = 43 + 2. Suppose -4*s - h = -b*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263 - 9849?\nAnswer: -9596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(0 + sqrt(272))*2.\nAnswer: -32*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 768205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114245 (base 6) to base 7.\nAnswer: 1163222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1360 and 432080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((140\/15)\/(-14))\/((-11)\/3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -189. Let m be (-9)\/(-15)*8\/(-12). Which is the nearest to s? (a) m (b) 0 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21257670 (base 8) in base 3?\nAnswer: 22112222121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 4*i**4 - 5 + 1 - 4*i**3.\nAnswer: 4*i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104706 and 1939.\nAnswer: 104706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -11. Suppose -y - 3 = 4*j, 6*j = 2*y + j - 20. Find the second derivative of 38*h - h**5 - 42*h + x*h**y wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/56 + (-4)\/(-7). Let w be d*(-2 + 99 + 2). What is the tens digit of 0\/1 - w - 6\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 = 2. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -569340.01499979 - -569340. Let i = t - -0.015. What is i rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*x + 117*x - 3 = -k, 4*k - 3 = 5*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 1048997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2394*w + 1311*w + 2 - 4 + 1500*w.\nAnswer: 417*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162759000, 325518001, 488277002?\nAnswer: 651036003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from nxnyxyynnynyyny?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 12*h - 552. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -m + 115, -2*c - m - 21 + 256 = 0. Calculate the smallest common multiple of c and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 3032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -902 + 909. Let o = -0.03 + 0.43. Which is the third smallest value? (a) 1\/5 (b) l (c) 1\/6 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from {v: 5, h: 1, c: 3, u: 3, q: 2, n: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 - 96. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (11 - (19 + -11 + -2 + 10))) + 35\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107631639 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039*v - 33 = 3*w - 1057*v, 7*v = 3*w - 2*v + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 4*v + 47, 2*r + 3*v + 928 = 961 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + (-352)\/(-12). Solve f = r - 5*r + 2*b, -10 = -r - 3*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 3853104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Suppose 5*n + 3*u = 4*u + 5, -3*n = -t*u + 14. Factor 2*d + d**4 - d**4 - 2*d**4 + 6*d**3 - 8*d + 4 - n*d**2.\nAnswer: -2*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -272824?\nAnswer: -272824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) 44.5 (c) -204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.8. Let x = -10 - -16. Let d = x - 9. What is the closest to 0.1 in d, g, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.047 - 0.047. Let q = -37.035 + y. Round q to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 + g + 9. Let i be t(-7). Suppose 2*j + 2 = 4. Let l(z) = 1 - z**2 + i*z**2 + j. What is l(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90 + 41 - 2187*k + 2187*k - 280 - 60*k**3 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*(sqrt(8) + -2 + sqrt(8)) - (sqrt(24)\/sqrt(3) + 3))*3)**2.\nAnswer: -2772*sqrt(2) + 9153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 57\/(-132) + 4\/22. Let k be ((-9)\/15)\/((-21)\/15). Which is the closest to 1? (a) k (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2415, 2421, 2429, 2439, 2451?\n\"Answer: i**2 + 3*i + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 256\/6 - 4\/6. Let h = v - 70. Let b be (h\/21)\/(2\/(-6)). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -27 (c) 2\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 1039?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + ((-12)\/2)\/(-3). Factor -4*a**2 - 2*a**3 + 6*a**u + a**2 - 2*a**4 - a**2 + 2*a**5.\nAnswer: 2*a**2*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5 + 2881339*h**2 + 288750*h + 5 wrt h.\nAnswer: -20*h**3 + 5762678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 4\/3*v**3 + 5*v**2 + 1\/6*v**4 + 0 + 0*v - 1\/60*v**5. What is o(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94479782981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 16 = -13*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -299407, -3, -2 in descending order.\nAnswer: 3, -2\/5, -2, -3, -299407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1697881, 3395765, 5093649, 6791533, 8489417?\nAnswer: 10187301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 = 2*d, 20 = -3*d + 2*v - 1. Let j(b) = -5801*b**2 - 5*b. Let p be j(d). What is p rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/16)\/f*f)\/f**(-7\/4))**(2\/3) assuming f is positive.\nAnswer: f**(29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350140 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:39 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 971 - -672. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*z - 4*f, 37*f = -4*z + 32*f - 13. Solve -2*y = -z*x + 5, 3*x - 8*x = 4*y - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0\/4) + 608 + 4. What is the third derivative of -574*k**5 + k**3 + l*k**5 - 2*k + 28*k - k**2 wrt k?\nAnswer: 2040*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11367075 + 9092273.5.\nAnswer: -2274801.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 313.8524 nanometers?\nAnswer: 0.00003138524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 35.11775?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 444*m**3 + 12532*m**2 + 11220*m - 24200.\nAnswer: 4*(m - 1)*(m + 2)*(m + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 4210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328\/5 + -66. Let n = -17\/4 + 179\/44. What is the closest to -1 in o, n, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86844861 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 64*s + 134. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {w: 3, e: 4, l: 6, x: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -1219\nAnswer: 51\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6351216 - -12?\nAnswer: -6351204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28611, 29332, 30053, 30774, 31495?\n\"Answer: 721*a + 27890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/18*(-1626)\/(-3794)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 140\/(-175) - (19\/(-5) + 0). Let l(j) = 39*j**2 + 8*j - 14. Let c(b) = 13*b**2 + 3*b - 5. Give g*l(t) - 8*c(t).\nAnswer: 13*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*w = -125*w - 5*c + 37, c = -2*w - 7 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343538044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1036 + 91 = 3*b, -4*b + 1496 = 4*r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 110. Let k be r(14). Let n(x) = -10*x + 121. Let g be n(k). Solve -h - g = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/(-50))\/(2\/400). What are the prime factors of (2 + 125\/(-10))*d\/(-6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 minus 536?\nAnswer: -536.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 39 = 50*z. Solve -2*l + 3*d - 8 = z, 0 = d - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 17264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 91548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 3*v + 16842, y - 13*v + 8*v = 1890. Calculate the remainder when y is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4446750 and 4050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 j when three letters picked without replacement from jtjjhjht.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (20 - 12)) + 10 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50227, -200918, -452083, -803734, -1255883, -1808542, -2461723?\n\"Answer: -2*u**3 - 50225*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3830719 and 8824.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 3*g + 20. What is the second derivative of 12*o + 26*o + 13*o**5 - 10*o**g + 4*o**3 wrt o?\nAnswer: 60*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 28.68. Let t = c - -0.73. Let v = t + -0.12. What is the biggest value in -2, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 29. What is the units digit of (8\/10)\/((-2)\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 77, 95, 115, 137, 161, 187, 215?\n\"Answer: j**2 + 15*j + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 592 + -334. List the prime factors of x.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) 3\/5 (b) -157 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (4 - -3) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/3))\/((t**(1\/6)\/t)\/t))**(-9\/2)\/((t**1)**5)**44 assuming t is positive.\nAnswer: t**(-943\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63566243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -201*z - 2752 + 340 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 7*k - 16. What is z(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634619?\nAnswer: 3, 7, 77839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:37 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54920472 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let p be 1\/(3\/12*2). Let q be z(p). Let w be ((-8)\/(-10))\/((-3)\/((-75)\/2)). What is the highest common divisor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 5*c + 3*c + (183*c - 536*c - 421*c)*(-3 + 2 - 2) + 2*c + 0*c - 4*c to g + l*c and give l.\nAnswer: 2318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/20 - d**4\/12 + 7*d**3\/6 + 3*d**2 + d. Suppose 4*w + 5 + 11 = 0. Calculate the remainder when f(w) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12*q = 16*q, -4*q = -4*i + 8. Solve -2 = -i*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4 - 40*t**3 - 35*t**2 + 180*t + 180 = 0. Calculate t.\nAnswer: -6, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from gxmmgmmxg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1867*-12.\nAnswer: -2.2404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 662*y + 686. Let l(x) = -7*x**2 - 2633*x - 2743. Let w(b) = -9*i(b) - 2*l(b). Solve w(n) = 0.\nAnswer: -172, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.6\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {l: 2, a: 1, s: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3 - 3)*(2*g**3 - 5*g**3 + 2*g**3) + 7 - 7*g**4 - 7 + (-3 + g + 3 + (4 - 3 - 3)*(-g + 0*g + 0*g) + 2 - 4*g - 2)*(g**3 + 0*g**3 + 2*g**3).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*u + q, 0 = u - 3*u - 4*q + 42. Suppose -160 = -u*x + 3*x. Solve -w - 2 = -3*o - 4, 2*o - x = 5*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1754196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -66. What is the greatest common factor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**30*n)*n)\/n)**(2\/59) assuming n is positive.\nAnswer: n**(-60\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 2 d when four letters picked without replacement from aadzadaddaazaadazu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = -26*a + 47*a. Calculate the lowest common multiple of a and 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 3 - -26 - 7) + -11 + -13 + 86.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0616716 rounded to three dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5383 and 1498012.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87080072 a multiple of 2069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, 290, -6, -70 in increasing order.\nAnswer: -70, -6, 2, 33, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Suppose -c + 3*j = 6, -4*j + 34 = c + j. Let g(d) = -c*d + 10*d + 0 + 0. Determine g(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 64. Calculate r(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -2200?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(156))\/sqrt(12) + -3 - (-2*(0 + sqrt(13)) + sqrt(65)\/sqrt(5) + 2))**2.\nAnswer: -120*sqrt(13) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 2)*(0*s + s + 2*s) - 24928*s + 9311*s + 12896*s to w + j*s and give j.\nAnswer: -2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a hour in minutes?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*o - 506*o + 286*o - 118*o to t*o + i and give t.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 = 3*x + 8, -3*c = -4*x + 17. Let z be (-2 - -12)*8\/(-16) + 20. Solve -z = x*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/157 + -1653\/3140. Calculate the common denominator of -61\/174 and o.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 492 + -493. Let d = 519\/2 - 259. Which is the closest to -1\/8? (a) g (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)*(-258 + 257). Let t(i) be the third derivative of 0 + b*i + 34*i**2 + 0*i**3 + 7\/6*i**4. Let s(a) = -3*a**2. Determine s(t(v)).\nAnswer: -2352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q - 22 + 40 - 45 - 49 to i + h*q and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190)*-1 - sqrt(190))*6)*-6)\/((sqrt(100) - 1*sqrt(100))\/sqrt(10) + (sqrt(10) + 1*sqrt(10) + sqrt(10))*-1).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = 6. What is the remainder when 68 is divided by 10\/c*171\/(-95) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 22*k - 2*k**3 - 9*k**4 - 22*k + 11*k**3 - 3*k**2.\nAnswer: 3*k**2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*a**2 + 227*a**2 + 5*a - 5*a - 196*a**2.\nAnswer: 279*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + q = -4*q - 15, -9 = 5*v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 122 = 5*y, 120*m = 5*y + 116*m - 124. Let g(u) = -21*u. Calculate the lowest common multiple of g(-2) and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 32*p - 2. Let q be u(-2). Let v = 59 + q. Let j = 11 + v. Put 3, 0, j in increasing order.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**3 + 3*m**2 - 3*m - 6. Factor s(b).\nAnswer: -3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o + 1. Let f be w(0). Let z = -1 + -4.5. Let g = -5 - z. Which is the nearest to 0? (a) g (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 52, -3 in decreasing order.\nAnswer: 52, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -31.5. Let s = y - -7. Let a = s - -0.5002. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 13*i - 18 - 12 + (22*i - 6*i + 8*i + (2*i - i + i)*(-2 + 1 + 2) + 2*i + 1 - 1)*(1 - 2 + 2).\nAnswer: 15*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -3, 5 in decreasing order.\nAnswer: 42, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w + 14. Let r = -5 - w. Suppose 0 = -5*p + 5. Is p at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0848957 days in minutes?\nAnswer: 122.249808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 5964 + 5964.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105463 is divided by 6573.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*t - 62*t + 444*t.\nAnswer: -104*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*r*w**2 - 48*d**2*r*w + d**2*r + d**2 + 10*d*r*w**2 - 2*d*r*w + 4*d*w**2 - 733*r wrt d.\nAnswer: -4*r*w**2 - 96*r*w + 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 16*k**2 - 24*k.\nAnswer: -2*k*(k + 2)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 12) to base 9\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*u + 265, -2 = -0*b - 2*b. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 - 3 - 8*u**2 + u**2 + u + 4. Let r(j) = -j**3 - 4*j**2 + 4*j + 8. Determine -4*a(n) + r(n).\nAnswer: -n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41941943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*k*w**2 + 1412*j*k + 15*j*w**2 + 81*j*w + 2*k with respect to k.\nAnswer: -2*j*w**2 + 1412*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -340, -744, -1298, -1996, -2832, -3800, -4894?\nAnswer: -6108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 5*p**3 - 3*p**3)*(4*p - 5*p + 2*p) + 7*p**4 - 3*p**4 - 3*p**4 + (p**3 - p**3 - 3*p**3)*(-2*p + 0*p + 5*p) - 4*p**4 - p**4 + 2*p**4.\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7*d**6\/360 - d**5\/5 + 3*d**4\/4 - 8*d. Let j(x) be the third derivative of t(x). Differentiate j(b) with respect to b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 8*j - 3*j)*(-4 + 3 + 2)*(114 - 19*j - 114) as c*j**2 + k + y*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 442441 (base 5) in base 6?\nAnswer: 155055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 11*m + 23*m - 9*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980716 is divided by 920.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*((27 + 29 - 18)*(-2*d - d - 2*d + (4*d - 4*d - 2*d)*(1 + 3 - 2) - d - d + 4*d) - 3*d + 1 + 0*d + 2*d).\nAnswer: 801*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/6360 and -125\/1908?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 8*i + 10. Let u be v(7). Let g(k) = -k**2 - k + 1. Let c(z) = -4*z**2 - 6*z + 4. Let y(r) = u*c(r) - 15*g(r). Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2128 - 3584 = 119*k for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 32. Let u(s) = 14 - 2*s + 5*s - 2*s + 1. Let r be u(a). Solve -20 = -r*z + 6*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12108934.2406 + 333.2406. Let q = r + 12108614.000023. Let t = 13 - q. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/60 - o**4\/6 + 2*o**3\/3 - o**2. Let l = 452 - 449. Give g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 1.2594?\nAnswer: -36.5226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4467287393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020221210 (base 3) in base 10?\nAnswer: -24753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*l + 697*l + 75129 + 16771 = -659*l for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5710473, -4 in descending order.\nAnswer: 6, -4, -5710473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/90 + t**4\/54 - t**3\/27 - t**2\/9 + 31*t. Solve i(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 18 = -v, 2*v = 3*v - 4*s - 15. Let d = -25 + 36. Suppose -2*f + z + 7 = 0, -4*f + d = 3*z - 6*z. What is the least common multiple of v and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u - 37715*u**2 - 17 + 37722*u**2 + 9*u. Let g(t) = 12*t**2 + 33*t - 32. Let w(i) = 7*a(i) - 4*g(i). Give w(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2\/3 (b) 10 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + t + t + 5 - 2*t - 5 + (2 - 2 - t)*(0 + 2 - 1).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laoaoala. Give prob of picking 2 o and 2 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.6265 * -292.54\nAnswer: -183.27631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 3, v: 6, r: 4}. What is prob of picking 2 x, 1 r, and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -14. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i - 11. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -67.7. Sort n, 40, 5 in descending order.\nAnswer: 40, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -24. Let q(x) = x**3 - 11*x**2 + x - 2. Let w be q(a). Solve 17*d**2 + 0*d**3 + 18*d + 4*d**2 - w*d**3 = 0.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 52*b**2 - 507*b + 28. Let r be k(-39). Calculate the greatest common divisor of 6496 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(63) - sqrt(126)\/sqrt(2) - sqrt(63) - sqrt(63)))**2 - (1 + (sqrt(175) + 0)**2).\nAnswer: -24*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -885 + 1271. Suppose -2 = 2*d - 6. Suppose -b + p = -76, -5*b + p = d*p - c. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Suppose -2*d - 2*f = d + 4, -2*f - 2 = 4*d. Let p(v) = -5 - 5*v**d + 2 + 3. Give k(p(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:25 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a - 0*a. Suppose -36 = -2*l + a*x, 4*l + 2*x = 3*l + 33. What is the remainder when 43 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3588 + 3616.09. Round r to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 1 + 1)*((y - 2*y - y)*(0 - 3*y + 0) - 11*y**2 - 56*y**2 + 7*y**2).\nAnswer: -216*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1a7b?\nAnswer: 1a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13\/k*k)**(2\/31) assuming k is positive.\nAnswer: k**(26\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -70459.9078 - -0.2\nAnswer: -70459.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453 - 453 + 7*b + (-2*b + 2*b + b)*(-5 + 4 + 0) + 3*b - 2 + 2 to the form s + y*b and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 1494*q**5 + 0*q**2 + 3*q**2 + 9*q - q**2 - 2*q**2 wrt q?\nAnswer: -29880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 104 = -4*u. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -115. Let i be 2 - l\/(-4) - -2. Suppose 0 = -d - n + i, -2*n + n + 37 = 2*d. What is the least common multiple of 6 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 75.407 * -3\nAnswer: -226.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -212 divided by 1\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512 = -130*s + 1417 - 199 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 24. Suppose -3*q - 3 = -p. Let u(a) = -a**3 + 10*a**2 - 8*a - 3. Is 22 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/15 + 14*k\/15 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 6*v - 4. Let r be c(-5). Suppose -6421 = -54*x - 5503. What is the highest common factor of r and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 32*d - d**2 - 26*d - 5 + 51*d - 7*d**2. Give r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dd (base 14) to base 4\nAnswer: -3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 1 x when three letters picked without replacement from xugugqfa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s + 632. Let v be n(-51). Solve 5*o - 10*a + 15*a = -v, 0 = a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04437099 rounded to four dps?\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.45? (a) -790 (b) 1 (c) 0.1 (d) -0.3 (e) 1\/23 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 114*j**2 + 291*j - 1. Let z(t) = -t. What is c(z(u))?\nAnswer: 114*u**2 - 291*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*r + 1)*((-28*r + 8*r - 38*r)*(2*r - r - 2*r) + 0*r**2 + 0*r**2 - 2*r**2) to the form z*r + v*r**3 + u*r**2 + m and give v.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j - 5*o = 140*j + 15, -3 = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20022 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 6.5, -1036791\/2, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 79*k - 52. Calculate c(26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 s when three letters picked without replacement from {f: 1, b: 2, a: 2, s: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1694196859 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:57 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + -1*sqrt(3200))**2*-4 - ((sqrt(10)\/sqrt(5)*6)**2 - -6*(sqrt(6)\/sqrt(3))**2).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -21*w + 8*w**2 - 12*w + 34*w. Let y be a(1). What is the greatest common divisor of 72 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1))**1\/((q**(3\/7)*q*q)\/(q**(-10)\/q)))**2)**(1\/38) assuming q is positive.\nAnswer: q**(-101\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bldvllmdvvv. What is prob of sequence vl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w**2 + 9*w - 9. Let x(z) = 9*z**2 + 7*z - 6. What is -5*r(q) + 7*x(q)?\nAnswer: -2*q**2 + 4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 445*q + 118. Is 17 a factor of z(46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/15 - (-38)\/6. Let p be 6\/4*(-2)\/1. Let v be 10\/4 - p\/l. Calculate the greatest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let f(h) = -4*h + 39. Let x be f(-12). Let g(m) = x - 87 + 29*m. Give g(q(t)).\nAnswer: 58*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (14 + -9) - -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311a (base 11) to base 10.\nAnswer: 18776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 - y**2 + y**3 + y**3 - y - y**3. Suppose -2*h + 7*h = 0. What is the units digit of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 1) + (-4)\/(-4). Let j(r) = r**3 + 4*r**2 - 5*r - 3. Let v be j(-5). Let y = o - v. Solve -4*d + 2*b - 20 = y, 4*b + 0*b = 3*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.504 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31651 = 3602*h - 278121 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l + 14. Let g be f(-4). Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.6? (a) 0.3 (b) -1\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((162\/(-96))\/(-9))\/((-3)\/(-12))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 2. Let o(n) = -n. Let h be o(-1). Let y(c) = -725 + c**2 - 718 + 1444. Let r(s) = h*q(s) - 2*y(s). Let t(j) = 2*j**2. Give t(r(m)).\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117891276*l**2 - 2*l - 2*l**3 + 2235782553*l**2 - 1117891277*l**2 + 2*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h + 4570. What is the hundreds digit of j(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 4, 2 in descending order.\nAnswer: 29, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 175. Let c(s) = -2*s**2 - 9*s - 3. Let a(k) = -k**2 - 5*k - 2. Let y(b) = -9*a(b) + 4*c(b). Give y(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166250 - 166249.03929. Let s = o - 0.96. Round s to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose -f*c = -2*c - 2. Let g be (-5)\/10*4\/c. Which is greater: g or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/260266 and 51\/298070.\nAnswer: 53354530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.42 + 10.92. Sort d, -0.22, 3 in increasing order.\nAnswer: -0.22, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 1, i: 1}. What is prob of picking 1 i, 1 n, and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -219. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58417 > 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -466000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385277, 385276, 385275, 385274, 385273?\nAnswer: 385272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1961537 is divided by 98.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1706177 and 15587?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -4. Suppose 0 = -u - s + 4. Let n = 0.06582 + 4.93418. What is the third smallest value in n, 0.3, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3\/3 + 21*j**2\/2 - 68*j + 19. Let r be z(-24). Solve 4*o - b - 21 = r*b, -o + 3*b = -14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Let f = 16 + -15.9. Which is the closest to f? (a) 4 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -90. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*s + 3*s - 9 = 0, 2*x - s = -23. Let r = -10 - x. Which is the second biggest value? (a) 5 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 3*b + 17 - 9*b + 5*b + 3*b to the form z + v*b**2 + y*b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2096, 4170, 6220, 8246?\nAnswer: 10248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*(sqrt(475) + 1 + sqrt(475)) + -2)**2 + 5*(-4 + 3*sqrt(475))**2).\nAnswer: -600*sqrt(19) + 449355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 - 284. Put n, 5, 4 in increasing order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 3*d**2 + 4*d**2 + 13*d**3.\nAnswer: 13*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - -2 - (-5 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**17))\/(t*t**9\/t))\/((t*t**9*t)\/((t\/t**(-3\/4))\/t)) assuming t is positive.\nAnswer: t**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2759761 and 19318327?\nAnswer: 19318327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 7. Suppose 0 = -4*p + 4*u, 7*p - 2*p = 2*u - 15. Let m(t) = t**2 - 8. Let x(a) = p*s(a) - 4*m(a). Find the second derivative of x(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.353 and -2852858.\nAnswer: -2852870.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -2\/15*m**5 - 1\/3*m**3 - 5*m + 8 + 0*m**2 - 7\/18*m**4. Let x(i) be the first derivative of r(i). Factor x(t).\nAnswer: -2*t*(t + 1)*(4*t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u = -188124 + 189674 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + 5 - (sqrt(13) - (sqrt(13) + sqrt(13)*4 + 0 + sqrt(13))).\nAnswer: 5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = 5*t, -5*g + 49 = 8*t - 6*t. Suppose -5*w + 3*a - g = 0, 0 + 7 = -w - 2*a. Let m(j) = j**3 + j**2 + 3*j - 3. Calculate m(w).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122244 divided by 6?\nAnswer: 20374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uubujrubuuauju.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116028 and 627?\nAnswer: 2204532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 534994*d**2\/11 - 1069990*d\/11 + 4\/11.\nAnswer: 2*(d - 2)*(267497*d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 6. Let z be -3*(-2)\/(-33) - (-12510)\/198. Let s = z + -60. Put d, -3, s in decreasing order.\nAnswer: d, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 4. Let o be p(1). Let b(d) = 21*d**2 - d**3 + 0*d**3 + 15 - d**o - 22*d + d**3. Let q be b(20). Is -25 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 9. Give l(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11343\/241984)\/(5\/16)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 7*v. Suppose -l + 7 = 5*s, 1 = s - v. Solve 0 = -q - 5*u - 13, q - 2 + 9 = -l*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 54?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3029338, -6058687, -9088036, -12117385?\nAnswer: -15146734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -5 - (-17 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 34 + k**3 + 2*k**3)*(5*k + 6*k + 0*k) to the form z*k**2 + g*k**4 + h + f*k**3 + s*k and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 10*x**2 - 8*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 11 = 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2.66, -0.2?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-5 + -5.\nAnswer: -45*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304358303 to the power of 1\/2, to the nearest integer?\nAnswer: 17446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4256 - -4166.74. Round x to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/184, 3 in descending order.\nAnswer: 3, -1\/184, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-14))\/(2\/4). Suppose -4*y = -n*u - 8 + 1, 5*y + 2*u = 50. Let o be 7\/2*y\/14. Solve o*q = 7*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:15 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:02 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 37*s = -11. Is s >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -905 + 905. Let l(b) be the first derivative of 1 + 3\/2*b**2 - 1\/2*b**4 + 0*b + a*b**3. Find the second derivative of l(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 2288*k\/7 + 1312\/7.\nAnswer: -2*(k + 164)*(7*k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 112. Let m be n(0). Let i = -7 + 14. Suppose i*p = -0*p + 98. Calculate the greatest common divisor of p and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 2. Let o(b) = 2*b - 5. What is 6*o(p) + 13*x(p)?\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424, 1074, 724?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14*(-3)\/16)\/((-6)\/4). What is the nearest to -0.1 in 3, 0.05, p?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.795652 rounded to 3 decimal places?\nAnswer: -55.796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/21)*l)**20\/(l**(-1\/3)*l**(-7)*l))**9 assuming l is positive.\nAnswer: l**(1779\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15705 - 15663 = -3*u + 4*s, -18*s = -216 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -21101?\nAnswer: -1\/21101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55417*b - 55407*b + 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 0, 179 in descending order.\nAnswer: 179, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-10)*(r**4\/r*r)\/(r**(-1\/2)\/r) assuming r is positive.\nAnswer: r**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3947, 3957, 3967, 3977, 3987?\nAnswer: 3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**4 - 3*b**4 - 4*b**2 - 4*b**4 - 6*b**2 - b + 1 in the form d*b**3 + x + c*b**4 + p*b + o*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 39*d**2 + 34*d**2.\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 - 18. Let f be q(5). Suppose -u = f*u - 16. Suppose -2*g + u*g + 4*g**4 - 2*g**4 + 4*g**3 - 2*g**2 - 4*g = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -322339?\nAnswer: 322328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -222?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 5*s - 2*s + 2*s - 2 + 2 + (1 + 0 + 1)*(-2*s + 0 + 0) + 4*s - 3*s + 0*s - 1 + 1 - s)*(-s - 2*s + 4*s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-3*m + 2*m + 2*m)*(-1 - 4 + 4)*(2 + 1 - 5).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 8:24 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1002 - 1002.4. Which is the biggest value? (a) -6 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135881 (base 10) to base 13\nAnswer: -49b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-78) + (-2)\/(-6). Let h(c) = -12*c - 82. Let s be h(-7). What is the closest to u in -2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -30 + 10. Put x, -5, 3 in increasing order.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/12)\/((-4)\/(-8)). Is r > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(((-33)\/434)\/11)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389956 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 112311.\nAnswer: 224622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 40*w**3 - 52*w**2 + 88*w.\nAnswer: 4*w*(w - 11)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/8 (b) 0.124 (c) -3 (d) 2\/1299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9179 and 4.3711289?\nAnswer: 9183.3711289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 77*x**2 - 9*x - 1. Does 17 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40692 - -40689. What is the nearest to 1\/4 in -5, 3.7, r, 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*d - 22, -2*d + 9*p - 5*p = 34 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by -49?\nAnswer: -188\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50)\/((-400)\/(-407604))*2\/(-3).\nAnswer: 33967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2096517, 4193034, 6289551, 8386068, 10482585?\n\"Answer: 2096517*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -185 (b) 10\/457 (c) -2\/165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(208)\/sqrt(8)*4)\/(sqrt(2) + 1*sqrt(128)).\nAnswer: 4*sqrt(13)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 5*x - 37. Suppose 2*g + 5 = 3*m, 5*m = 1031*g - 1026*g + 20. Determine o(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7319 + -131659\/18. Find the common denominator of -1*(-79)\/16*2 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 3 - 9*n - 12*n**2 + 12*n**2 - 142*n**3.\nAnswer: -142*n**3 - n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-2 - -3) - -1. List the prime factors of ((-84)\/18 - v)*873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/491 - 44657\/2946. Find the common denominator of m and 1 - 1\/(40\/532).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -38*j - 3. Let y(f) = 38*f + 4. Determine -6*x(u) - 5*y(u).\nAnswer: 38*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 33 + -36 - -73\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29232 divided by 168\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2672777, -10691122, -24055031, -42764504, -66819541, -96220142?\nAnswer: -130966307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(3*sqrt(288) + 2) + 1)*-2 + -3 + 4)*3)**2.\nAnswer: 3888*sqrt(2) + 93393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.8. Let x = -0.11 + 5.11. Let g = 5.2 - x. What is the nearest to 0.1 in -3\/4, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2334*r**5 - 19*r**4 + 3660*r. Let a(q) = 778*q**5 - 6*q**4 + 1220*q. Let f(u) = -19*a(u) + 6*y(u). What is the second derivative of f(v) wrt v?\nAnswer: -15560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - -9. Suppose 0 = -7*t + 3*t + g. Calculate the smallest common multiple of t and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4170\/857 and -27\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10967 + 370498 = 5600. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.8 and -0.46.\nAnswer: -18.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17937 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 3745544*a - 876818740996.\nAnswer: -4*(a - 468193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-11 - 28) - -52?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58384142407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1300 + 1257. Is q smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-32*u + 63*u + 24*u + (-2 + 1 - 2)*(2*u + 0*u + 0*u) + (-1 + 2*u + 1)*(-3 + 6 - 2)) as l + s*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:15 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from mmmmcmmmmmmmccm.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 316 + 2150 = 0. Let d = v + 9813\/8. Find the common denominator of d and 37\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l - 39. Give o(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times -0.4128?\nAnswer: 14.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5970*l + 30099. Calculate r(-5).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259989 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.65 rounded to zero decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*i**4 + 10908*i + 718066 wrt i.\nAnswer: 24*i**3 + 10908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 280*m**3 + 2440*m**2 - 6560*m + 5520.\nAnswer: 5*(m - 46)*(m - 6)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 836750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(10\/282))\/(((-18)\/(-24))\/(190\/(-152)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*a + 31 - 0, -5*m - 2*a = -33. Calculate the remainder when 16 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/155 and -137\/1500?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*m = 1765 - 7134 + 41 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4010.945319 and 185?\nAnswer: 4195.945319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wljvvvwwuu. What is prob of picking 3 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 6 = 4*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:09 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let o = -7 - -5. Let g = 1.7 + o. Which is the third biggest value? (a) g (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/9 - 10*y + 16\/3*y**2 - 2\/9*y**3.\nAnswer: -2*(y - 22)*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 876*r - 3514*r - 3737*r + 75*r as j*r + u and give j.\nAnswer: -6300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 713623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 22*a**2 + 84*a**2 + 144*a**2 to the form o + z*a**2 + x*a and give z.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*j = t + 8, 2*t = -5*j + 29. Solve 4*f = 4*a - 4, 3*f + t*a - 32 = 3*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593 + 1512. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -0.2, -2, 2, -3 in descending order.\nAnswer: 2, 4\/11, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.92 - -0.08. Let g = -25.6 + f. Let c = g + -3. What is the closest to 2\/3 in -1, -3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Let n(a) be the third derivative of a**6\/120 - a**4\/12 + a**3\/3 + 17*a**2. Let c be -2*(-1)\/2*5. Suppose 0*t + 5 = c*t. Give t*n(r) + 2*i(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25040.3 and -0.4.\nAnswer: 10016.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31 - 51*v**3 + 41 - 32 with respect to v.\nAnswer: -153*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563 (base 7) to base 4.\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h + 1. Give d(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.607183 rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 18*x - 17. What is the units digit of z(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -46*y**3 - 3*y**2 + 5*y - 5. Let z be g(2). Let b = 854 + z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3306 = -79*g + 2403 + 1930 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82075 divided by -469?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8130713 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6661088 divided by 7264?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 513433 + -279960. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 820429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/(-9))*-9. Let y = 2 - p. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/7 - 1228*w**4\/7 - 2880*w**3 = 0?\nAnswer: -16, 0, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 + -726. Let l be 14\/(-126) + n\/(-9). Suppose -a + l = 10. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.307 + 7.307. Let t be ((-12)\/10)\/((-3)\/80). Let y be t\/20*(-1)\/(-4). Which is the second smallest value? (a) 1 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -13. Let j = m + -10. Let b = 6 + -6.4. Sort j, b, 2.\nAnswer: j, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5623.\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/11061541?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t**2 + 774*t + 5260. Calculate d(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (418\/(-95))\/(-11)*(-45)\/12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 385 = 19*v. Which is smaller: v or 59?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210112120100 (base 3) in base 10?\nAnswer: -423963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -71, -69, -67, -65, -63?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*w + 463*q - 459*q, -5*q - 48 = -9*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0 + 69\/2*a**2 - 183*a - 9\/5*a**5 + 0*a**3 - 1\/12*a**4. Find the first derivative of x(w) wrt w.\nAnswer: -108*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 17*i. Let u = -22 - -13. Let h be x(u). Solve 4*r - 8 = -5*a + h*a, -8 = -r + 3*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -30. Let o be t\/(-8) - 4\/(-16). Let s(j) = j**2 + 254. Is s(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -30*c**2 + 9725*c - 218. Calculate p(324).\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 9*x**2 - 5*x + 11. Give r(10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -7. Let o be (q - 8)\/((-2)\/(-3)). Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00148306233 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 907, 1361, 1815?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3524 = 5*p + i, 3*i + 3 = -0. List the prime factors of p.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 0*j**2 + 8*j + 3*j**3 - 6 - 4*j**3. Let b be (-6)\/3*(-2)\/(-16)*20. Let s be p(b). Solve -5*y = 3*z + 37, -35 = s*y - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21121000 - 12?\nAnswer: 21120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/3 + 7*j**3\/3 - 11*j. What is the second derivative of t(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*c + 40 = 0, 0 = 3*w + 6*c - 2*c - 32 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10535371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 222010102210011?\nAnswer: 222010102210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(225) + (sqrt(225) + sqrt(225) + 3*sqrt(225) + sqrt(225))*6 + sqrt(225))*-5)\/((-4*sqrt(480))\/(sqrt(66)\/(sqrt(11) + sqrt(99)))).\nAnswer: 855*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g - 6. Let i = g + 0. Suppose 2*s - 4 - i = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -i - 0*i + 5*d, 4*i = 3*d - 38. Let g be 30\/16 - 1 - 1\/i. Let z be (2\/g)\/((-12 + 5)\/(-14)). Solve k = -0*k + h + 7, -4 = -z*k - 4*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -661 + 10257?\nAnswer: a6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-2 - 0)\/2). Let a(x) = -x**2 + 5*x + 3. What is the units digit of a(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*(-4 + 14 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6482383 is divided by 1214?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.51 - 19.506286. What is f rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31468*a**3 - a**2 + 73598 wrt a.\nAnswer: -94404*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(-5\/8)*(b\/(b\/(b\/b**(-8))))**(-25) assuming b is positive.\nAnswer: b**(-901\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3964 is divided by 493.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.717468 months?\nAnswer: 0.00809789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 - -0.55. What is the nearest to 2\/5 in k, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -411 + 413. What is the third derivative of 23*t**2 + 35*t**6 - 143*t**y + 4*t**6 - 26*t**2 wrt t?\nAnswer: 4680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50, 102, 154, 206, 258, 310?\n\"Answer: 52*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 - (-17 - 2686\/204 - 16\/(-12))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 216, 0.2, -50\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Let c be 4 - (0 - y\/(-1)). Suppose c*k = k + 6. Solve -3*b - 4*q = -35, -b - k*q = -0*q - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -16. Let u be l\/18 + 376\/72. Suppose u*a + 5 = y - 17, 4*y - 5*a = 43. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1774, 4096, 6420, 8746, 11074, 13404, 15736?\n\"Answer: u**2 + 2319*u - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 14*w + 505 = 0. Let k = w + -1. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 6, m: 1, g: 4, r: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 - (20 + 7) - -29?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-19)\/57. Solve q*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087665 rounded to three dps?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4889?\nAnswer: -3\/4889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10532300 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 + 204219*s\/2 - 7359660.\nAnswer: 3*(s - 72)*(s + 68145)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16959 divided by -16846.\nAnswer: -16959\/16846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616*-35.7.\nAnswer: -21991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21337 - 16918*l**3 - 21337.\nAnswer: -16918*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 44*s**2 - 88*s + 30. What is the remainder when w(46) is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4381*a*i + 58733*a + 53*i**3 wrt i.\nAnswer: 4381*a + 159*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 6*y + 5. Suppose -2*m + 3*j = 35, 0*j + 52 = -3*m + 4*j. Let b be ((-18)\/12)\/((-6)\/m). Is t(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:37 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30156603*y**2 - 154995521*y wrt y.\nAnswer: 60313206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 6. Let c be u(-5). Let h be (1\/c)\/(24\/(-64)). Sort -0.4, h, -1.\nAnswer: -1, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 733.\nAnswer: -733.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60.04 + -335.308. Let f = v + 411.9. Let j = -0.048 - f. Round j to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:01 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 - 2218*h - 197354. What is c(-78)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11*p = 10*p - 16745, 0 = w - p - 5581. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7704356, 7704355, 7704354, 7704353?\nAnswer: 7704352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.2*-12.2.\nAnswer: 453.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1112 - 1163.7. Let d = k - -52. What is the third smallest value in 0.4, 2\/17, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:43 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 0. Suppose 0 = -2*x + g, -r + 5*x = 12 + 12. What is the biggest value in r, -18, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t + t**2 + 0*t - t - 39 + 5. Let p be s(-16). Suppose -2 + 12 = 5*i. Solve -i*q - p = 5*b - 2*b, -4*q = b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, y: 1, l: 5}. What is prob of picking 4 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Suppose 0*w = w - 35. Let g be (-4)\/10 + 14\/w. Solve g = -y*b - 8 + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87cd (base 16) to base 8\nAnswer: -103715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -j, -5*j + 28 = -r - 2*r. Determine h so that 34*h + j*h**2 - 40*h - 2*h**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1833 and 9361131.\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28\/99 + -454\/495. What is the closest to a in 21, -3\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 6 - 4 = n, 2*n - 4*s = 16. Let l be 249\/13 + n\/(-13). What is the highest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 643, 932, 1203, 1450?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**3. Let n(z) = -441*z**3. Calculate -2*n(v) - 99*r(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 8) + ((-3600)\/840)\/(6\/(-70))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13408 and 11136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11111010101000100001 (base 2) to base 4\nAnswer: 3322220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (8 - (3 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 2*f**2 + 1)*(-3*f**2 - 3*f**2 - 4*f**2) to the form q*f + g + t*f**3 + k*f**2 + a*f**4 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 6*o - 3. Let b be (152\/5)\/(3\/((-45)\/(-6))). Suppose 4*z = b - 64. What is a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**3 + 5*n**2 - 4*n - 2. Give o(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 2 - 298*p**2.\nAnswer: -298*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-24)\/20))\/(755\/3624)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(152) - (sqrt(152) + -1*sqrt(152))*-5) + sqrt(152))*-1)\/(1*(sqrt(8) + (1*-2*sqrt(8) - sqrt(8)) + sqrt(8))).\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 800 + -798. Let u(q) = -6*q + 2. Give u(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99667, -99705, -99767, -99853, -99963, -100097, -100255?\n\"Answer: -12*s**2 - 2*s - 99653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i + 4*i**2 + 9*i**2 - 10*i**2. Give n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 6. Suppose 0 = 12*q + 49 + 11. Sort 2, l, 5, q.\nAnswer: q, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**5 + 318*v**4 - 1803*v**3 - 384240*v**2 - 1969008*v + 40062336 = 0.\nAnswer: -19, 8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 8. Let r be g(-6). Which is greater: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5681*p + 5679*p - 11362*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-17 - (36 + -80) - (0 + 4 - 2)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-12)\/16)*-63. Let c = f - -124. What is the highest common factor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 13*g + 13. Let c(x) = x**2 + 6 + 5*x + 0*x + x. Let n be 10\/25 + (-28)\/(-5). Let k be -5 + -6 + 2\/(-1). Calculate k*c(p) + n*y(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/3*w**3 - 8\/3*w**2 + 0*w.\nAnswer: 4*w**2*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 divided by 37?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-2\/69))**(-3\/20)\/((m*m*(m**(-1)\/m)\/m*m)**(-2\/97)\/(m**(4\/3)*m*m*m**1)) assuming m is positive.\nAnswer: m**(10462\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:52 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-18 + 8 + 15 + -18 - -57)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 + -63. Let v = -60.000167 + s. Round v to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 + 4*u + 1. Let m = 10 - 6. Let t = m - 1. Let j be c(t). Put -1, 5, j in ascending order.\nAnswer: -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.4073\nAnswer: -1.2219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326 + -331. Sort j, -4, 4, 1 in increasing order.\nAnswer: j, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 11:11 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3673312 or 7346621\/2?\nAnswer: 7346621\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((728\/(-40))\/(-13))\/(11\/(-176)*-8).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (56543 - 2)\/(-23 + -6 + 32)?\nAnswer: 47, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4698927?\nAnswer: 3, 53, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -17*y + 42. Suppose -y*a + 45 = a. Calculate the remainder when 41 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and -0.05.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 1053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -l. Let r(a) = 12 - 2*a + 3*a + l*a. What is r(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -162.9570097 and 2?\nAnswer: -325.9140194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -68. Suppose 2*m - 7 = p*l + m, -13 = 3*l + 2*m. Is 0 + (118 - -9*1\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 20*h - 75. Let l be y(-16). Put 30, 0, l, 5 in ascending order.\nAnswer: l, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45130678.\nAnswer: 2, 1429, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63583, 127166, 190749, 254332, 317915?\nAnswer: 381498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -5\/3, 256, 1939, -0.5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 1, h: 1, f: 1, o: 1, l: 5}. Give prob of picking 1 o, 1 h, and 1 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**8\/13440 - m**7\/1680 + m**5\/60 + 2*m**4\/3 + 3*m. Let j(d) be the third derivative of a(d). Factor j(i).\nAnswer: -(i - 1)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 15880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 1\/6 (c) 1.269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 46\/21 (b) 3 (c) -3.6 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q. Let g(z) = -7*z - 45. Let y be g(-6). Let j(d) = -13*d**2 + 7*d. Let a(b) = 6*b**2 - 3*b. Let x(n) = y*j(n) - 7*a(n). Calculate h(x(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*b = 5*j - 191, -5*j + 505 = 2*b. Suppose -6*v - j = -37. Is v > -86\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20856 divided by -22?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 146*f + 148.\nAnswer: -2*(f - 74)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 506, -7, -96 in ascending order.\nAnswer: -96, -10, -7, -1, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28836080 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5 - -2) + -6 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6039, -12071, -18097, -24117, -30131, -36139?\n\"Answer: 3*j**2 - 6041*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/3 (b) -4 (c) -5.2 (d) -0.2 (e) 30 (f) -1 (g) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 22*k**2 - 22*k - 30. Let i be b(23). Let h(t) = -t**3 - 8*t**2 - 8*t - 2. What is h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282432.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 535895021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*h = 396*h - 48. Calculate the lowest common multiple of h and 445.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p + 3*p. Suppose 0*l + l + 2 = 0. Let a = p - l. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 3. Let w be s(4). Suppose -8 = -w*u + 37. Solve -4*j = 7 + u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1475316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 6*i + 6. Let g(z) = z**2 - 5*z + 7. Calculate the remainder when a(-5) is divided by g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 4722?\nAnswer: 4725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17624, 35230, 52824, 70400, 87952?\nAnswer: 105474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.14 - -0.14. Let x = k - -7. Let f = -0.3 + 0.3. Sort f, 2\/3, x in ascending order.\nAnswer: x, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 122132 divided by 30533?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 - 228 + 228)*(z + z - 3*z + (3*z + 3*z - 7*z)*(0 - 1 + 2)).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 65*d + 360. Let y(n) = 18*n + 103. What is -7*v(j) + 25*y(j)?\nAnswer: -5*j + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191.59 > -0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 724133015 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-5) + 2\/(-5). Let z = -584.2 - -584. Which is the second smallest value? (a) z (b) -2\/19 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 786 - 498. Let b be (k\/495)\/((-3)\/(-90)*3). Factor 32\/11 + 112\/11*m**2 - b*m**3 - 96\/11*m - 2\/11*m**5 + 18\/11*m**4.\nAnswer: -2*(m - 2)**4*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-138)\/(-7*160\/(-140))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4122*a + 82434. Calculate g(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1264\/10 - 8\/20. Let x be z\/(-15) - (-6)\/15. Let q be 1034\/88 + (-2)\/x. What is the highest common divisor of 48 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*s**3 + 35*s**3 + 0 + 5 - 7*s**4 + 42*s**3 + 9*s + s**2 - 6*s to c*s**4 + x + a*s**3 + f*s + v*s**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 385793, 385772, 385751, 385730, 385709, 385688?\n\"Answer: -21*b + 385814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5025*y - 1536 = -5041*y. What is the remainder when 463 is divided by y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -226. Let f = r - 53. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258027433 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q**2 - 8 - 5*q**3 - 9*q + 22*q**2 + 4*q**3. Let o be p(9). Let f = 77 - o. What is the greatest common factor of f and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4078548, 8157106, 12235664?\nAnswer: 16314222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 5*f**2 - 2*f**2)*(-3*f**2 + 3*f**2 + f**2)*((7*f - 10*f + 31*f)*(5 + 5 - 4) - 3*f + 2*f - f + (-2 + 2 - 2*f)*(-2 + 1 + 2)).\nAnswer: 328*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 8*q + 9. Let h be c(6). Let n = 339 + -342. Is n <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 171244*v - 541758*v.\nAnswer: -370514*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 21*i = 8*i + 5*t - 47, -4*t = -5*t - 2*t + 12 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250552 + 5?\nAnswer: 250557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - v = -258, d - 258 = -2*d - 4*v. Calculate the remainder when d is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -12 + 8*b + 12. Let i(g) = 8*g. What is 4*i(j) - 5*x(j)?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbjbxnjabjbabnbxn. Give prob of sequence xaj.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -396.1153\nAnswer: 400.1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1851, 3630, 5361, 7050, 8703, 10326, 11925, 13506?\n\"Answer: k**3 - 30*k**2 + 1862*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -48 - 19\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/3041944 and -25\/536.\nAnswer: 203810248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 5*b**2 + 6*b + 1. Let s(a) = -a**3 + 5*a**2 - 7*a - 2. Let x(h) = 7*g(h) + 6*s(h). Let y(m) = -m**3 + m**2 + 1. Give -3*x(k) - 15*y(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - g = -14*a, a - 3*g = -13. Let u(c) = -15*c**2 - c - 2. Determine u(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 0. Sort j, 5, -3.\nAnswer: j, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201074856 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46748007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n - 7. Let o be c(5). Suppose -o = -3*j + 5*u, 5*j - 115 = -6*u + u. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let u(b) = 5*b**3 + 53*b**2 - 23*b - 7. Let t be u(-11). Let d(j) = -4. Determine t*q(k) - d(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + -17*(-3)\/3 is divided by 3*2\/12*(30 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2744891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 54. Suppose -i*t = -176 - 1320. List the prime factors of t.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 110*d. Let i(r) = 761*r - 3. Determine h(i(c)).\nAnswer: 83710*c - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 49*b**2 + 93*b + 32. What is u(47)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -55*t + 270. Let d(k) = -3*k + 1. What is 30*d(a) - 2*w(a)?\nAnswer: 20*a - 510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 17) + 9\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3488469.1 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 71210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)*-3 - ((2*sqrt(88) + sqrt(88))*-2 + sqrt(88)))\/(sqrt(512) + 6*1*sqrt(512)).\nAnswer: sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 11:39 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1131658366, -1131658367, -1131658368?\nAnswer: -1131658369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, 3\/5, -101475\/16, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - i**2 + 4*i**2 + (45*i + 63*i - 80*i)*(2 - 36*i + 75*i - 37*i) to the form k + q*i**2 + j*i and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x + 1. Let s be f(-2). Let u(c) = 4*c - 113. Let m be u(28). Sort m, 5, s in descending order.\nAnswer: 5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/348*5805\/301.\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l + 149. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -29381.\nAnswer: -29381.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.01583 to 2 dps.\nAnswer: 11.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*f - 4147 = 0, -i + 355 = 5*f - 703. List the prime factors of i.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6 + 0*t + 0*t + 3*t - 2*t. List the prime factors of d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467113284 a multiple of 1718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24448566 rounded to four dps?\nAnswer: -0.2445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*u - 220 = -32, -5*h + 253 = 4*u. Let x = 54 - h. Suppose 6*z = 7*z + x*n - 251, 3*z - 688 = -2*n. What are the prime factors of z?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 83. What is the lowest common multiple of 66 and j?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. Solve 9*c - 4*c = 3*u - 6, 3*c + 2*u - 4 = v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033445 (base 8) in base 13?\nAnswer: -9898b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 546 - 531. Suppose -360 = -0*l - d*l. What is the smallest common multiple of 32 and l?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aax when three letters picked without replacement from {a: 3, x: 5, j: 2, k: 1, f: 7, s: 2}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -151*o**8\/168 - o**5\/60 + o**4\/24 - 245*o**3\/6 - 732*o**2 - o. What is the third derivative of n(w) wrt w?\nAnswer: -18120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 5*d**2 - 8*d - 7. Determine c(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13916633 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 199752003 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12021 + -1033?\nAnswer: 10655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*5)\/sqrt(11)*-4 + -2.\nAnswer: -20*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(187))\/((sqrt(704)*1 - sqrt(704)) + sqrt(11)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rikdididdrdddddidkk. What is prob of sequence rrk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 400614.\nAnswer: 3204912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 81\/2*i**2 - 39\/2*i + 21\/2*i**4 - 69\/2*i**3 + 3 = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10611605 divided by 3?\nAnswer: -10611605\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 - 3*x - 4. Suppose 2 + 18 = 5*l. Let z be w(l). Suppose z = -5*u + 11 + 349. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 359254261 to the nearest 1000000.\nAnswer: 359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182185 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -4*y - 19, -31*y = -29*y - 4*u + 42 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 5. Let t(c) = 1. Let h = 68 - 46. Let a be 42\/(-11) - 4\/h. Let d(z) = a*t(z) - j(z). Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 27*d**3 - 35*d**3 + d + 86*d**3 - 26*d**3 + 57 as b*d**4 + r*d**3 + s + w*d**2 + m*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/102 + 4*y**3\/3 + 68*y**2 + 95*y. Factor k(v).\nAnswer: 2*(v + 34)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) + (-302)\/18. Let r = -65 + 48. Let j = o - r. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + 2. Let v be (755\/(-150) - -5)\/(f\/(-10)). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d - 4*t, -5*d + 4*t = -31 - 5. Suppose -145 = -9*v + d*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w**4 + 5973*w**3 + 46125 wrt w?\nAnswer: -8*w**3 + 17919*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 987343 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**2 + 16*y**2 - 33*y**2 + (-2*y - 3*y + 3*y)*(0 + 4 - 2)*(y + 2*y + y) - 2*y + 2*y + 3*y**2 + (0*y + y - 3*y)*(2*y - 2*y + 2*y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/18 - (-7)\/((-315)\/(-10)). What is the closest to m in 4, 1\/2, -2, -1\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-12)*(-26)\/21*-3.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14629821.918 - 15411546.9017. Let r = -781501 - f. Let y = r - 224. What is y rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 3*d**2. Let t = 3 - 8. Let g(a) = 2*a**3 + 5*a**2 - a. Let z(s) = t*n(s) + 3*g(s). Find the second derivative of z(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 9*r**2 - r - 55. Let s be a(8). Let u(z) = -z**3 + 3*z**2 + z + 5. Let j be u(4). Let f = j + 10. Sort s, 5, f in decreasing order.\nAnswer: 5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18)\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ce (base 16) to base 13.\nAnswer: 59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -18)*(-3 - -2). Let z(y) = 8*y**3 + 4*y**2 + 6*y + 10. Let w be z(-6). Is w\/(-45) - (-4)\/t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/7848900 and 71\/900.\nAnswer: 7848900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(7\/280*24*-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 36*q = -52*q - 3*q + 3551 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - m)*(5 - 4 + 2) - 336 + 165 - 16*m + 166 + 1 - 1 + 4*m to l*m + a and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704823 is divided by 317.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -7. Let i(a) = 715*a + 6. Let l be i(-1). Is (-2)\/(-9) - l\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/187, 1\/2, -3 in ascending order.\nAnswer: -3, -0.2, 2\/187, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t - 157. Let b(p) = p. Let z(g) = g - 5. Suppose 0*w + 1 = -w. Let l(d) = w*z(d) + 3*b(d). Calculate l(f) + 4*y(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 117 = -105. Suppose 18 = y - 6*d + d, -15 = -2*y + 3*d. Calculate the remainder when c is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 194 (b) -4\/5 (c) -1 (d) -16\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r**(-1\/2))))**(-15))**(5\/14))**(-2\/37) assuming r is positive.\nAnswer: r**(75\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 18. Suppose 144 = -p*i - 5*i. Is (-10)\/6 + 2 - 16784\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4122595596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 10) + -18 + 17 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -0.3.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051768 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3)\/a)**(-4\/19)\/(a**2)**(2\/45) assuming a is positive.\nAnswer: a**(-136\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 15) to base 13\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12*(-16 + 16)\/(-7). Let p(u) = -u + 1. Let k be p(2). Let z be k\/(-3)*3*2. Solve n = z*o - o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.07, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (34 - 30 - (2 - -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)\/(q\/(q**(5\/4)*q)))\/(q**(5\/4)\/(q\/(q*q**5)*q)))\/((q*q*q**(-2\/3)*q*q*q)**(-2\/23))**(-22) assuming q is positive.\nAnswer: q**(-6074\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 16. Suppose -q = -w - 16. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (126 - 10 - (-1 - -1 - 8)) + 8\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 5. Let s be v(4). Let j(b) = -5*b - 211 + 211. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ed (base 16) in base 6?\nAnswer: -3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10628, 7496, 2274, -5038, -14440, -25932, -39514?\n\"Answer: -1045*n**2 + 3*n + 11670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41153385?\nAnswer: 3, 5, 7, 13, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*s**3 + s**2 + 0 + 2 + 0 as j + l*s**2 + o*s + d*s**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -5, 0 = 2*z - o - 3. Let a be z*(-3 + (-3)\/(-3)) - -13. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3119359*0.1\nAnswer: -311935.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516947554?\nAnswer: 2, 758473777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:13 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023 (base 4) in base 11?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -90442.32 rounded to the nearest one hundred?\nAnswer: -90400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7b05cb (base 14) to base 13\nAnswer: b38607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let r(c) = c**2. Let m(o) = -2*d(o) + 5*r(o). Let u be m(4). Which is smaller: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 2, c: 1, s: 1}. Give prob of sequence cdd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211328 to the power of 1\/2, to the nearest integer?\nAnswer: 2866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 2*z + 4. Suppose -44*x + 327 = -56*x - 97*x. Give q(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26458 - 48830107.\nAnswer: -48830107.26458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -6\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 76*b + 4 = -72*b, -5*z + 4*b = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a - 5. Let m be b(-2). Suppose 0 = 10*f - m*f + 185. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -350.16 + 342. What is j rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 6 + 2 + 3 + i.\nAnswer: -5*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-35)\/((y\/(y*y**1*y*y))\/y**(-7)))\/((y**1)**(-28\/3)\/(y**(2\/7)*y*y**(1\/4))) assuming y is positive.\nAnswer: y**(2047\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(847) + 0) - ((sqrt(847) - 1*sqrt(847)) + sqrt(847))*6) + 1 - -3*(sqrt(847)*1 + 4)*3)**2*3.\nAnswer: 9768*sqrt(7) + 44763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)*3)\/sqrt(6).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 154, 149, 140, 127?\n\"Answer: -2*m**2 + m + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(51)\/(sqrt(6)\/sqrt(2)) - (5 + sqrt(68))) + 3)**2.\nAnswer: 220*sqrt(17) + 909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 10:39 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 776, -1, -0.4, 11?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 8*n**2 + 111*n + 872. Give k(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 5*b**2 - 2*b - 4. Let y be o(-5). Let s be (2\/y)\/((-1)\/(-39)). Let q = s + -8. Solve -4*u - x = x + 10, 0 = q*u - 2*x + 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*l - l. Suppose -4*z + l = -3*u, 2*u + u - 5*z + 28 = 0. Let q(x) = 13*x**2 - 6*x - 7. Is q(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1208*l**3*m + 28*l**3 - 9*l*m - 101*l with respect to m.\nAnswer: -1208*l**3 - 9*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2989 by 5374.\nAnswer: 2989\/5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 41106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 3*i - 11 = 16*l + 13, -5*l + 28 = i for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 3. Let p(s) = 10*s**3 - s**2 - 6. Let a(d) = -20*d**3 + d**2 + d + 11. Let f(c) = 3*a(c) + 5*p(c). Is f(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/22*((-155)\/50 - -3 - (-104)\/(-260))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 126*z. Let k(c) = -5*c. What is k(t(n))?\nAnswer: -630*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105918981 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let j be (-2)\/(-4) + 6\/v. Solve 0*x - 4 = -j*u - 2*x, 3*x = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) 0.2 (d) -15 (e) -0.015 (f) -0.2 (g) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 15, -4, 2.\nAnswer: -127, -4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1616\/16 - 24) + 0*(-2)\/4. Let j = -42 + 97. What is the greatest common factor of y and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 11*b**2 - b**2)*(-5 + 2*b - 3 + 9).\nAnswer: -24*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b589 (base 13) in base 7?\nAnswer: -461534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 12*l - 18. Let y be x(-4). Let i = -8 + 5. Which is the third biggest value? (a) 0.4 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*((-3*sqrt(40)*4)\/(sqrt(162)*-3*3))**2.\nAnswer: 640\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*r - 102*r - 1547 = 0. What is the greatest common factor of r and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 44 + 39 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*r + 88*r = -11476 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 14*y**2 - 18. Let v be d(-13). Let b = -60 - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100679866, 201359736, 302039606, 402719476, 503399346, 604079216?\nAnswer: 704759086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**2 - 7*j + 11. Determine w(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/9 - 3548*m**4\/9 + 1541330*m**3\/9 + 28525448*m**2\/9 + 167888896*m\/9 + 314703872\/9 = 0. What is m?\nAnswer: -7, -4, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28048 - -28224. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 divided by -159301?\nAnswer: -1783\/159301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66537120 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1720\/47 or -38?\nAnswer: -1720\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14438\/19, -0.2, 0, -1\/3 in descending order.\nAnswer: 4, 0, -0.2, -1\/3, -14438\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3924.6 - 3863.567. Let c = -61 + h. Let w = 0.0222 - c. Round w to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 706920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 558879 - 368349. Round f to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, -5, 4, 0.28273?\nAnswer: 0.28273","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3189*j*x**5 - j*x + 230*x wrt x.\nAnswer: -63780*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 352 and -1227647?\nAnswer: 1227999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Suppose -4*s + f = -0*s. Is (-2)\/s*51\/(-6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-306)\/(-510))\/(8\/10).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:14 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let x(n) be the first derivative of -185*n**2\/2 - 6406. What is o(x(c))?\nAnswer: 185*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 915 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -21. Calculate the smallest common multiple of j and (0 - -17) + 20\/(-24)*-6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 74695 and 1717998\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -1855.83?\nAnswer: -1855.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (4 + 1 + -10 + 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.5 (c) -1\/87 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igt when three letters picked without replacement from {i: 1, t: 3, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*q**2 - 9 + (3 - 3 + 2*q**2)*(2 + 6 - 5)*(-6 + 3 + 4) in the form o + g*q**2 + h*q and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75920 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5662368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 + 7340*p**4 + 2800505*p**3 + 77544150*p**2 = 0. Calculate p.\nAnswer: -719, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25320*c**2 - 3866*c**2 + 7661*c**2.\nAnswer: -21525*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525332.\nAnswer: 2, 3, 79, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/(-10)))\/(2*3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -68*k**5 + 550*k**4 - 456*k**3 - 508*k**2 + 524*k - 42 = 0.\nAnswer: -1, 3\/34, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.4, 20, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**4\/3 + 113*s**3\/3 - 13*s**2 + 6. Calculate the remainder when f(22) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -185. Suppose 1573382 = m*b - 246618. Round b to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/9 + 820*k**3\/3 - 84050*k**2.\nAnswer: -2*k**2*(k - 615)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27104 - -42676. What are the prime factors of l?\nAnswer: 2, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66818 or -3663?\nAnswer: -3663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 20*(2\/4 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - 0 - 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plllzznllnfflfnn. What is prob of picking 1 p, 1 l, and 1 f?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2617, 2616, 2615, 2614, 2613, 2612?\n\"Answer: -y + 2618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.07, 2\/17, -1\/88677?\nAnswer: -1\/88677","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**3 - 8*u**2 - 8*u - 917. Let y(c) = 9*c**3 + 5*c**2 + 5*c + 611. Give -5*o(b) - 8*y(b).\nAnswer: -2*b**3 - 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41622?\nAnswer: 2, 3, 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1243?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864*p**2 - 136 + 3*p**3 + 45 - 1864*p**2 + 47 + 44.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1811093, 1811095, 1811097?\nAnswer: 1811099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + sqrt(104)\/sqrt(8) + -4.\nAnswer: -11 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -5\/4, -4, 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) 0.026 (c) -0.156 (d) -3\/2 (e) -4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1110100100 (base 2) to base 6\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/109107 and -97\/2916?\nAnswer: 1309284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 - 2*a - 4. Let y be r(-5). Let j = y - 1. Suppose j*z = 407 - 57. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2133, 4239, 6345, 8451, 10557, 12663?\nAnswer: 14769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/(-40) + -3 + -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32165\/8 - -4021. What is the biggest value in b, 2, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1887, -3776, -5665, -7554, -9443, -11332?\n\"Answer: -1889*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113604300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (244\/1281)\/((-4)\/6). Which is bigger: t or -467?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14457302 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*f = -15, -3*t - 1558922*f = -1558928*f + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*p - 555*p - 2590*p = -117093 - 39905 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 150*t + 384. Let a be i(-6). Let u = a + 549. What is the highest common divisor of 561 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 77 = -5*a, 4*a + s = -2*s + 63. Suppose -q = 5*o - 27, 2*o = -3*o + a. What is the highest common factor of q and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + 6*x**2 + x + 3. Let w be g(-3). Let i = 5 + -6. Let l be 3 + -1 + (i - 1). Solve -2*q + w*q + 4 = l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173406?\nAnswer: 2, 3, 28901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 13. Let n be (-7 - 2)\/(3\/(-86)). Let m(b) = -n*b - 262*b + 519*b + 6. Suppose -15 = 3*k - 54. Give k*m(s) + 6*o(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 55 = 5*q + 645, -l = -5*q + 350. Let r(y) = -y**3 - 9*y**2 - 2*y + 5. Calculate the remainder when 1\/(l\/88 - -4) is divided by r(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**3 + 3*y**2 - 12*y - 19. Let d be o(6). Suppose -2*w = -3*k + k + 1284, -3*k = 4*w - d. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800.018 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4921 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-10)*(-8)\/344)\/(-1)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q**0*q*q)\/(q*q\/((q\/(q**(-1\/2)*q))\/q)*q)**(-15) assuming q is positive.\nAnswer: q**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -353, -357, -361, -365?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -36\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Determine z, given that 5*z**2 - z - 3*z**2 - r*z**2 + 0*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.02611.\nAnswer: -3.97389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2430.3 and -0.2?\nAnswer: -486.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (36 - (-2 + (6 - 19) + 8 - -13))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (-3 - -12) + (1 - 15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 8, u: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 5804*o - 52464. Determine k(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4817, -4354, -3891, -3428, -2965?\n\"Answer: 463*q - 5280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-5)\/(-20))\/(-1))\/((-76)\/(-16) - 5). Which is the smallest value? (a) p (b) 0.112 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62248 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let g(r) be the third derivative of -r**5\/12 + 8*r**2. Determine g(m(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 659, -11482, 0.\nAnswer: -11482, 0, 1, 5, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20176 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -61. Solve z = -5*q - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -165.27?\nAnswer: 165.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1073, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {y: 7, i: 2, v: 4, n: 1, u: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 5*g**3\/6 - g. Let a(r) = 456535*r - 12*r**2 - 456535*r. Determine b(a(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79767 - -7730. Let h = 72037.0100007 + r. Let a = -0.01 + h. What is a rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 19*h - 480. Let v = h + 162. Suppose 0*x - 4\/9*x**v + 0 - 2\/9*x**3 = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - -4. Let m be (1 + (-26)\/14)*-14. Calculate the greatest common divisor of t and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 64*w - 3. Let f(m) = -125151*m. Determine p(f(c)).\nAnswer: -8009664*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13452 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 h, and 1 d when four letters picked without replacement from hgddddddghddhddddddd?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 16*m - 3*n = -6, -7*m + 38 = -3*n + 76 - 32 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/38 and 25\/6628.\nAnswer: 125932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -2.5. Let m = 0.2 - 0.3. Let n = 0.8 - 1.1. What is the nearest to m in h, -5, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/749232 and -73\/688.\nAnswer: 749232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - n - 3. Let m(b) = -5*b**2 + b + 6. Let x(a) = -7*a**2 + a + 7. Let l(h) = 5*m(h) - 4*x(h). What is -3*l(j) - 2*z(j)?\nAnswer: -3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071*-0.11.\nAnswer: 0.00781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.054, -6, -2.\nAnswer: -6, -2, 0.054, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*(3 - (-21)\/(-6)). Let u be -3 + -1 + (-7 - t). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/12*-2*5. Let r(c) = 5 - 6 + 9*c**2 + 1 + 5 + 5*c. Let x(b) = 5*b**2 + 2*b + 2. Let t(u) = s*x(u) - 2*r(u). Let y(h) = -2*h**2. Calculate t(y(g)).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74334, 149410, 224488, 299568, 374650?\n\"Answer: c**2 + 75073*c - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tftltffaetffffffa. Give prob of picking 2 t and 1 f.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let c(g) = 0*g**2 - g**2 + 0*g**u. Let d(m) = 0*m - m + 0*m. Calculate c(d(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11462 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 347920*q + 1849959?\nAnswer: 347920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*r**2 + 0*r + 0*r**3 + 1\/4*r**4 + 0 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -23*r - 1742. Calculate f(-76).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-7))\/((-1017)\/90174))\/((-6)\/(-6)*1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 110 = -5*j, 5*n + 190 - 50 = -5*j for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 + -5 - -4) + 2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 277*s**2 + 1631*s - 356. What is the derivative of b(y) wrt y?\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.2 (c) 0.02 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(187))\/(-1*sqrt(11)*-6)*3 + 2.\nAnswer: 2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a**2 + 11*a + 72. Calculate z(16).\nAnswer: -2312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301477632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20021012200 (base 3) to base 2\nAnswer: -11110000111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 100 = 3*n. Suppose 3 = -r - 3*m, 6*m + 32 = r + 2*m. Let a be (-1 + 0)\/(r\/(-60)). Solve 0*j = a*j - n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 513\/(-6). Let s(f) = 3*f**2. Let w be s(1). Suppose -h = -4*x + 2*o, w*x + x - 5*o = 101. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3572 and -1979.\nAnswer: 7068988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/4 + 3389*r**4\/4 - 646173*r**3\/4 - 10169*r**2\/4 + 482933*r + 323085 = 0.\nAnswer: -3570, -1, 2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 109*f + 230 - 4807 = 77*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 15*k - 7. Let v be z(-7). Suppose 4*p - 5 = 3. Let l be p + 5 + v + -2. Solve d = a - 2, 0*a = 4*d - l*a + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + 6*n - 7. Let b be j(4). Let y = -8 - b. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -19*m, q + 0*m - 9*m = -5*m + 77 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492818.1ml to litres.\nAnswer: 492.8181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y + 3. Let n be b(3). Let m = n - -28. Calculate the remainder when 9 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1)\/(1 + -2)). Let l(h) = -h**2 + 1. Let q(p) = -11*p + 7. Let t(u) = o*l(u) - q(u). Is t(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 6:09 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vavc when four letters picked without replacement from {u: 2, a: 2, c: 6, v: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**2 - y + 5. Let j(i) = -1. Suppose 3*o = 2*k, 4*k + 20*o - 16*o = 40. What is k*j(g) + v(g)?\nAnswer: 13*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*k*y**3 - 4*k + 2*y**3 + 4*y**2 + 7*y wrt y?\nAnswer: 90*k*y + 12*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/60*(-5)\/19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:44 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/42 + (-13)\/(-182)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9297843?\nAnswer: 3, 53, 58477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 > 111442\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 + 10*b**2 - 6*b + 5. Let w(q) = q**3 - q - 1. Let x(p) = -g(p) - 3*w(p). Let i be x(10). What is the highest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.077 - -0.023. Let o = -1.03 - -0.03. What is the closest to q in o, 2\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 5680*t**3 + 941600*t**2 - 4389504000*t + 1194439680000.\nAnswer: 2*(t - 420)**2*(t + 1840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 56 - 170 = 4*n, -2*o - 216 = 4*n. Let a be 62\/5 - 33\/n. Solve a = -4*f - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10719, -10720, -10721, -10722, -10723, -10724?\n\"Answer: -w - 10718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*g - 0*f + 10, -f + 5 = -g. Let a be (-25)\/15 + 1\/g. What is the units digit of 60\/a*(-6)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - -40. Suppose 3*p - 2*p = -3*c + n, 0 = -c + 4*p + 2. Let k = -4639 - -4703. Calculate the remainder when k is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 4*h - 149, 2*b = -3*b - 8*h + 16*h - 343 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54661, -54684, -54745, -54862, -55053, -55336, -55729, -56250?\nAnswer: -56917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7025, -13985, -20945, -27905?\nAnswer: -34865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 1 - o - 1 - 1 as l + f*o + y*o**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 + (2080120\/(-360))\/(-133)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/12*-2*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (174\/4)\/((-2)\/(-28)).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48478.3166 rounded to the nearest 100?\nAnswer: 48500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5*r**2 + r - 8. Let z be i(5). Let d(b) = 4*b**2 + 4*b + 12. Let j be d(z). Find the first derivative of -1 - j*q**4 - 14 + 25*q**4 - 4 wrt q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30797 by -2.\nAnswer: 30797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 15. Let t = -15318 + 15346. What is the remainder when t is divided by a(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from yvjiwoo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - r = -4*r - 4, 4*r = -5*m - 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 12*p + 2. Let t be i(5). What is the smallest common multiple of t*1 - (-13 - -13) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29271, 58540, 87809?\n\"Answer: 29269*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842 = -24*c - 1130 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -267*(5915\/273)\/65\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 12*k**2 + 11*k - 48. Give y(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let u(q) = -4*q - 2. Give c(u(k)).\nAnswer: 32*k**2 + 32*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 13\/4 (c) -7 (d) 0 (e) 0.428\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c + 7342. Let f(v) = 8*v + 3669. Give 5*f(j) - 2*k(j).\nAnswer: 2*j + 3661","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 7*c**3\/2 + 4191*c. Let x(w) = -w + 1. Let r(a) = 12*a - 16. Let h(p) = r(p) + 16*x(p). Calculate t(h(l)).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, v: 1, a: 3, g: 1, t: 1, b: 4}. Give prob of sequence tav.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 4*n**3\/3 - n**2\/2 - n - 30. Let k(f) = -21*f**2 + 5*f + 5. What is -2*k(d) - 11*s(d)?\nAnswer: -2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 53*j + 17*j + 85*j + 314 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w = 36*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2627 and 692463.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22624.2t to grams.\nAnswer: 22624200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 7*q + q)*(1 + 2 - 1)*(-1 + 1 - 3) - 10*q + 2 + 28*q - 3 to the form c*q + m and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2049320 and 6733480.\nAnswer: 47134360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51 (b) 2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13551 and 56878064?\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3136?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*y - 282805 + 281177 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 25 - 561119023*f**3 + 561119033*f**3.\nAnswer: 10*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than -1813\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*d = 290, 4*d = -3*i + 394 + 71. Factor 7*m**2 - i*m**3 + 155*m**3 + m**2 + 4*m.\nAnswer: 4*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1.82.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2749969573\/36615 - 75105. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4773.1 and -133.9?\nAnswer: -639118.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-380)\/(-24))\/5*(-75)\/50).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28243, 56472, 84703, 112936, 141171?\n\"Answer: y**2 + 28226*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/((-3)\/((-9)\/6)). Let f(l) = l**3 - 3*l + 4. Is f(v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 9*p - 7. Let z be (1 + 19)*(-35)\/140. What is y(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1023 - -1022.7. Which is the nearest to -9? (a) h (b) -0.04 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9693, -1, 912, -4 in increasing order.\nAnswer: -4, -1, 912, 9693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 26.5. Let g = 5.7 - 6. Put -1, -1\/3, l, g in decreasing order.\nAnswer: g, -1\/3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(2 - 1 - 4 - 2 - 2 + 3 + (2 - 6 + 2)*(-3 + 1 + 4)) + (-1 - 2 + 4)*(2 - 3 + 0))*(6*p + p + 0*p).\nAnswer: -119*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:38 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d + 11*d - 4*d. Let p be c(1). Let i = 42 - p. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7360 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4592 divided by -28?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13 + 28 = 0, k + 2*a = 638. Suppose 660 = 2*g + k. What is the lowest common multiple of 4 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 - 6*z + 6. Suppose -a + 4*n + 9 = 0, -4*n = 5*a - 2*n - 23. Let s(y) = y - 5. What is the remainder when s(7) is divided by f(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*x**3 - 303*x**3 + 67*x**3 + 64*x**3 + 65*x**3 + 70*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 5243034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -13*o**5\/10 + o**4\/12 + 3*o**3\/2 + 9*o**2 - 109*o + 1. What is the second derivative of g(p) wrt p?\nAnswer: -156*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 65*k + 5374. Calculate d(-83).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3676*p + 3673*p = 13, 3*i + p = 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*a**3 - 152*a**3 - 121*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50061 - 21002. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -90.016. Let q = 0.016 + m. Is q greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**6\/16 - 3*l**5\/20 + 9*l**4\/4 + 4*l**3 - 24*l**2 - 437. What is a in j(a) = 0?\nAnswer: -4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*r - 76, 2*r - 28 = r + 2*c. Solve -5*l = -l - r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8993 + -8990. Solve 0 = -2*u - 5*k - 24, -5*u + 2*k + q*k + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124868122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -521, 7, -13, -2, 6 in increasing order.\nAnswer: -521, -13, -5, -2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4257*d - 1. Let h(j) = -3*j**2 + 57*j. Determine h(g(k)).\nAnswer: -54366147*k**2 + 268191*k - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15237340 divided by -25826\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 3*g + 11. Give n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3192, 6357, 9520, 12681, 15840, 18997?\n\"Answer: -j**2 + 3168*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 0.12 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpccacxatqtcxttaap. What is prob of picking 1 a, 1 p, and 1 x?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/6)\/((-25)\/(-105)) - -3. What is the third smallest value in s, -4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16245121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 0.03. Let o = -55 - -59.97. Let s = m + o. What is the biggest value in 1\/11, -2\/15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**2 + 0*h**2 - 38*h + 170 + 5*h**2 - 45 - 19*h wrt h?\nAnswer: 4*h - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1422120?\nAnswer: 1422114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/((-1)\/5). Suppose 14*u + 304921 - 304627 = 0. Put 1, u, -4, m in descending order.\nAnswer: 1, m, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-312) + (-5)\/10. Let t be (-7)\/4 - 1\/4. Let q be -2 - ((-2)\/t)\/(-1). Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-9))\/((-2)\/(-58) + (-43904)\/(-375144))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 + (18\/69 - 42411\/(-4853)).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23034857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.022 + -0.016. Let w = 0.216 - b. Let n = w + -0.204. Round n to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/10)\/(j*j**(-8)*j))\/((((j**(-4\/3)\/j)\/j)\/j)\/j**18) assuming j is positive.\nAnswer: j**(853\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 36 = 0. Let f = 22 - n. Let o be (4\/10)\/(f\/(-70)). Solve 5*r - 17 = -o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((90\/6)\/5)\/((-3)\/(-452))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 25, o - 3*m - 7*m - 43 = -5*m for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 6. Let x(c) = -1 + g*c + 1. Let p(n) = n. Let i(s) = 4*s. Let o(r) = 2*i(r) - 7*p(r). Calculate o(x(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1092\/(-338))\/((-14)\/91).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -603, 3, 5, -1 in descending order.\nAnswer: 5, 3, -1, -4, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j = -190. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*x + 198*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1697 - 1712) + 1 + -2 + 66\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 2 (c) -1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000543 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 8*v = -f + 22, 3*v = 5*f - 220. Let j = f - -104. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-25)\/v)\/v))\/v**(-1\/2))\/((v\/v**0)\/v**(11\/4)) assuming v is positive.\nAnswer: v**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.62 + 34.12. Let b = -0.73 - 0.17. Let l = 0.1 - b. What is the second smallest value in l, t, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20629579?\nAnswer: 3821, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163 or 138081\/850?\nAnswer: 138081\/850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 1. Let x = -9693 + 9689. Let m(d) = d - 6. Let p(s) = -2*s + 5. Let j(o) = 4*m(o) + 5*p(o). Determine x*g(l) - 3*j(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -39\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 399, 971, 1887, 3261, 5207, 7839, 11271?\nAnswer: 15617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328 divided by -1.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-20) + -36*(-6)\/(-15). Let u be ((-15)\/(-12))\/((y\/(-8))\/7). Factor -16*o**2 - 29*o**4 - 3*o**5 + 5*o**u + 21*o**4 - 28*o**3 + 2*o**5.\nAnswer: 4*o**2*(o - 4)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r - 2*x, -r - 5 = 3*x - 14. Suppose -r = -4*f - 19, f + 910 = 3*k. Suppose 0 = 4*b - 2*b - k. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1582 + 1889. Calculate the greatest common divisor of w and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.043 (b) -5\/4 (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*t + 15, -24 = 4*s - 4*t - 4. Solve -a + m + 2 + 2 = s, a + 5*m = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62668 divided by 2.\nAnswer: 31334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 11*t**2 - 7*t + 9. Let m be w(-11). Suppose -10*q + m = -8*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from iijiilwij.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 981, 3677, 8183, 14499, 22625, 32561?\n\"Answer: 905*v**2 - 19*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 3095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okvk when four letters picked without replacement from {l: 3, i: 5, x: 1, v: 3, k: 5, o: 1}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382688*x**4 - 17*x**2 - 51537*x wrt x.\nAnswer: -9184512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -551\/4. Let v = 218 + -4359\/20. Let k = -3\/20 - v. Sort k, -1, o in increasing order.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 + 3*x - 7. Let w(i) = -13*i**2 - 5*i + 13. Let c = -79 + 73. Give c*w(y) - 11*h(y).\nAnswer: y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10420.572 to the nearest 10.\nAnswer: -10420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/88*(-24)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(-3)*r)\/r)*r*r*r**(-1\/10))**(3\/8) assuming r is positive.\nAnswer: r**(147\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-140)*(-304)\/(-95)*-1)\/(-2)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*l + 40, -5*d + 2*l = -43 + 13. What is the lowest common multiple of 6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -0.1268?\nAnswer: 2.8732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6\/11)*l\/l**8*(l\/l**(-8))\/l*(l*l\/(l*l**(2\/5))*l)\/l assuming l is positive.\nAnswer: l**(58\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259 - -806. Let d = b - 460. What is the remainder when d is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3546)\/(-198) - 18)*((4 - 2) + 3)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -55.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*y + 4, -3*y = 6*g - g - 19. What is the highest common divisor of g and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 3*q**3 - 5*q**3)*(3*q**2 - q**2 + 0*q**2) + (10*q**3 + 10*q**2 - 10*q**2)*(-3*q - q**2 + 3*q).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16956610, -33913220, -50869830, -67826440, -84783050, -101739660?\n\"Answer: -16956610*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 0.13?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156)\/sqrt(4))\/sqrt(3) - (3 + -1 + sqrt(13) + 3 + (sqrt(65)\/sqrt(5) - sqrt(13))))**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**5\/15 - c**4\/12 - c**3\/6 + 2*c**2 - 1. Let a(b) be the second derivative of q(b). What are the prime factors of a(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -227*f - 314*f + 444*f + (7 - 7 + 9)*(-3*f + 3 - 3).\nAnswer: -124*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 7*d**2 + 5*d + 7. Let s be a(6). Let f be -3 - -1 - (-3 - s). Solve -7 + 1 = f*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5272, -5273, -5274, -5275, -5276?\nAnswer: -5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14457057 or -14457058?\nAnswer: -14457058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 - 6*y - 2. Let q be r(-5). Let d = q + 47. Let i(o) = o + 4. Give i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + -49. Let w = -72 - n. Let v = -35 + w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**5)\/v*v)\/((v\/(v*(v**(2\/11)\/v)\/v))\/v))\/(v\/(v\/((v\/(v*v**1\/v))\/v)*v)*v*v**5*v) assuming v is positive.\nAnswer: v**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**2 + 8955*l + 136339. Determine b(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*b - 15, 4*b - 8 - 4 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -109*z**2 - 5*z + 32*z**2 + 40*z**2 - 7 + 36*z**2 + 4. Calculate x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -32*s + 135. Give l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361\/104 - -50\/13. Sort 0.01, 0.08, 0.1, u in decreasing order.\nAnswer: u, 0.1, 0.08, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*h**3*w**4 + h**3*w**3 - 819*h**3*w**2 - 2*h**3 + h*w**2 wrt w?\nAnswer: 1176*h**3*w + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 64691241 = 12791261. Suppose -h = -3*x - 5*a, 4*x + a - 69200012 = 4*a. What is x rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a hour in milliseconds?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-15))\/(3 - 84\/35). Which is the biggest value? (a) -65 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/87 and (-12)\/10*(-1220)\/(-366) - 1961\/(-464).\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-110))\/(31\/465).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11 + 2*t**2 + 12 + t**2. Let m be h(-3). Suppose 2*s - 5*z - 28 = 0, 0*z = -5*s + 2*z + m. Solve b = -2 + s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -1. Let k be 112\/3*(-27)\/(-18). Calculate the highest common factor of g and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283510195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19201 and 176757021?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -51686.93 to the nearest ten.\nAnswer: -51690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -377 + 381. Solve 0 = -4*p - 3*f - 0 + 6, 0 = 3*p + l*f - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1\/120*r**5 - 1\/420*r**7 - 1\/240*r**6 + 1\/48*r**4 + 0 + 5*r**2 + 0*r + 0*r**3. Determine s, given that p(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from vvuvgvg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2671*v**2 + 2376*v wrt v.\nAnswer: -5342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 174 = 438. Let f = 5 + -1. Let y(p) = -p**2 + 6*p - 4. Let l be y(f). Calculate the greatest common factor of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2 - 3032896*h + 1119817?\nAnswer: 4*h - 3032896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d + 8. Let h(g) = 4*g**2. Calculate h(z(m)).\nAnswer: 100*m**2 + 320*m + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13767 + 206329\/15. Let g = -2962\/255 - o. Put g, 0, -0.2 in decreasing order.\nAnswer: g, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 5 - 699*m + 707*m to o + h*m and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7721 = 4*x - 7776, 4 = 2*i - 2*x for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75356 plus 1131082?\nAnswer: 1055726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 326452.6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9379.168 micrometers to nanometers.\nAnswer: 9379168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -827 + 826.9235. Round j to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - j**4 + j**2 + ((1 - 1 - 2)*(3 - 1 + 0) - 3 - 19 - 10)*(0*j**4 - j**4 + 3*j**4))*(-3 + 0 + 1).\nAnswer: 146*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234114033 a multiple of 3039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 2 w when four letters picked without replacement from weqpqtwqeetpqewp?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9281477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 128169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 21. Let n be -19 + (-6)\/(-2) + 0. Calculate the remainder when 9 is divided by z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4 - 2. Suppose 0*t - 2655 = -w*t. Find the common denominator of (t\/40)\/(6\/4) and 43\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 41*r - 124. What is the hundreds digit of a(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 21d66?\nAnswer: -21d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -28 + (15 - 2) - 3) + -78 - -6.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 + 7*f**5\/30 - 13*f**4\/24 + f**3\/2 - 178*f**2. What is y(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4403 - 4683.3. Let b = c - -267. Let x = -1.7 + b. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*f - 92 = 0, -1 - 1 = 2*f. Let k be (-3)\/12 - 74\/(-8). Calculate the greatest common divisor of c and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1302, -1, -4, -125 in ascending order.\nAnswer: -1302, -125, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, s: 2}. What is prob of sequence vsvs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - k - k)*((-1 + 2 - 2)*(k**2 + 11 - 11) + 2*k**2 - 4*k**2 + 4*k**2).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:10 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26401445 divided by -35\nAnswer: -754327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8707359 less than 8707358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4063 + -1592. List the prime factors of l.\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 49\/24*d**4 + 0*d**6 + 207*d**2 + 0 + 0*d**3 + 11\/21*d**8 + 0*d + 0*d**7 + 0*d**5. Find the second derivative of v(p) wrt p.\nAnswer: 3520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 790*w + 12958. Give s(-16).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgkko. What is prob of sequence gj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/6 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s**2 + 8*s. Let q(m) = 5*m**2 + 3*m. Let l be (14\/4)\/(-1) + 3\/(-6). Let i be l*(1 - 0) + 12. Calculate i*q(c) - 3*k(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/(y*y\/(y**(2\/27)*y*y)))\/(y**(1\/10)\/(y\/y**(-3))) assuming y is positive.\nAnswer: y**(-277\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 20*u. Which is greater: 20 or u?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let h(o) = -6*o + 2*o + 5*o - 17*o + 4*o. Determine h(n(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 55636*c + 55636*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70283219, 1\/4, 3 in decreasing order.\nAnswer: 3, 1\/4, -70283219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1703, -6806, -15307, -27206?\n\"Answer: -1699*s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36306981.\nAnswer: 3, 211, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 + 368*z + 4992 = 0. Calculate z.\nAnswer: -12, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.6591 decades in millennia?\nAnswer: 0.576591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(3\/(-81) - (-26)\/(-351))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 487, 0.1, -33, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 33, 42, 55, 72, 93?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 194513.64 months?\nAnswer: 162.0947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124 + -9 + (-45)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0 + 0)*(-2 - 3 + 4)*(5 - 3 - 1)*(d + 2*d - d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 + 373. Let s = -144000 - -144240. What is the greatest common factor of f and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**4 + 157 - 26 + 4*c**2 + 5*c**2 wrt c?\nAnswer: 20*c**3 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3.84\nAnswer: 1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 28*j**2 - 33 - 8*j**2 + 4 - 18 to z*j**2 + a*j + q and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9237 and 1.\nAnswer: 9237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033030161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18.39591 * 6.1\nAnswer: 112.215051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 + 2*k - 3*k + k**4 - k**3 - 2*k as g + m*k + h*k**2 + w*k**3 + r*k**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*k = -9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/153, 27355, 1\/5 in decreasing order.\nAnswer: 27355, 1\/5, 4\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 26406975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 13*r + 8. Let v be u(-12). Let x(j) = -j**3 - 3*j**2 + 2*j - 1. Calculate x(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/(-88))\/(3\/(-84)). Solve -5*v + 10 = -4*p, -w*p + 5*p + 5*v = 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**(-6))\/(w**(1\/9)\/(w\/(((w\/(w**(-2)*w*w))\/w)\/w*w)*w)) assuming w is positive.\nAnswer: w**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6722346 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o + 1. Let u(g) = -89*g**2 - 107*g - 2. Let r(d) = 2*a(d) + u(d). Find the second derivative of r(s) wrt s.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 6*s + 9*s**2 - 2*s + 9*s - 11*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75 - -107?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 1, y: 5, o: 9}. What is prob of sequence oyly?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k**3 - 162*k**2 - 24*k = 0.\nAnswer: -2, -4\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 + 3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 343*v - 2401. Let l be r(7). Solve l = 76*u - 14*u - 248 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 21, 71, 171, 339?\n\"Answer: 3*h**3 - 2*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101001111011000 (base 2) in base 4?\nAnswer: 31033120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31423.039 and 8.\nAnswer: -251384.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086575 rounded to 3 decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 less than -0.05250617?\nAnswer: 0.31749383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - 0.1. Let u = -951.97 - -952. Which is the second biggest value? (a) y (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeehdke. What is prob of picking 1 d and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.53 times -1517?\nAnswer: -29627.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8054 - -8106. What is the lowest common multiple of q and 338?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 992, 1985, 2978, 3971, 4964, 5957?\n\"Answer: 993*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:30 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/8 + (10 + -5)\/(-40). Let m(y) = c - 285*y**2 - 2 + 290*y**2. Let t(l) = -6*l. Let o(r) = 4*r. Let s(j) = 7*o(j) + 5*t(j). What is s(m(p))?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3218218, 3218217, 3218216, 3218215?\n\"Answer: -o + 3218219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100011010 (base 2) to base 12\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 47.82478 nanoseconds?\nAnswer: 0.04782478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.617988 decades to years.\nAnswer: 66.17988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11413 - 5813. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3628 or -39902\/11?\nAnswer: -3628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -608*n + 2. Let z(u) = 113*u. What is z(l(p))?\nAnswer: -68704*p + 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/2, 2, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58787796?\nAnswer: 2, 3, 137, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 4. Let g(s) = 5*s + 1. Let h(d) = 6*d + 136. Let n be h(-22). Let r(f) = 22*f + 4. Let p(x) = n*g(x) - r(x). Determine p(q(b)).\nAnswer: -12*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 - 99. Suppose 4 = 2*y - 4. Suppose 9*f = y*f + h. Solve -4*a = -f + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.91 - -0.19. Let o = 0.4 - r. Let t = -0.6 - o. Is t < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.31. Let a = b + -0.111. Let k = a + 0.02100086. What is k rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*-3 + (-153)\/102. Suppose r = j + j - 2*t - 4, -j - 2*t + 11 = 0. Solve j*y = 4*g + 37, -2*g - 1 = y - 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167390980*n**3 + 1984280*n + 112 wrt n.\nAnswer: 1004345880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txr when three letters picked without replacement from {j: 6, t: 1, r: 1, u: 1, l: 1, x: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - u**3 - u**3)*(u**2 - 3*u + 3*u) + (-2*u**3 - 3 + 3)*(3*u**2 - 4*u**2 - 2*u**2) + u**5 - 4*u**3 + 4*u**3.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211645 by -6.\nAnswer: 211645\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 8 - 26. Let u(d) = -o - 3*d**2 - 3*d**2 - 2*d**2 + 0*d**3 - d**3. Determine u(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, k: 2}. Give prob of sequence kgkg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555797*o + 555796*o + 4*j = -19, -4*j = -4*o + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18c (base 16) in base 2?\nAnswer: -110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326 - -302 - (-1 + -11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -214 + -118?\nAnswer: -32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -247 - -249. What is the biggest value in -20, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45535 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 + 3586\/21. Let w(o) = 73 - 453*o + 914*o - 452*o. Let h be w(-8). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 10*c**3\/3 + 2*c + 5. Find the first derivative of q(m) wrt m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) -25 (c) -5 (d) 15\/62 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1996 + 996. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3 + -3)\/(-2). Is -1\/26 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -25. Let l be (y - (2 + -7))*7. Solve 0 = 5*i - 5*w - 32 + l, 20 = -3*i - 4*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13865 + -13864.99999991742. What is j rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110)\/90 + (-2)\/(-9). Is ((-901)\/51)\/(p\/3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -0.163748.\nAnswer: 3.836252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3372, 3369, 3366, 3363, 3360?\n\"Answer: -3*u + 3375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 38*k - 11*k)*(52*k - 5808 + 5808).\nAnswer: -2704*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 54*j**2 - 432*j + 5. Let b be l(8). Solve -5*d + 8 - b = 3*s, 0 = -s - 2*d + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 + w**2 - 7*w + 5. Let r(k) = 2*k**3 + k**2 - 3*k + 2. What is 5*r(z) - 2*u(z)?\nAnswer: 2*z**3 + 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 224839 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(13 + 4 - 5)*(-j + 0*j + 12*j).\nAnswer: 264*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y = 54*y + 48. Solve 3*d = -3*d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60463671?\nAnswer: 3, 31, 71, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*f - 8 = -2*r, 0 = -5*r - 3*f + 14. Let d = -2 - r. Let n(t) = -t - 4. Determine n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21385438 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 4*h - 43, -19*h + 12*h - 156 = 41*z - 9*h - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 - 6 + 0*g**2 + 178 + 151 + 5*g**2 as b*g**2 + u + p*g and give u.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2 + 2)*(2 - 7 + 4)*(-3*p**4 + p**4 + 4*p**4).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4643000 to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 14*s - 77. Let v be l(-18). Let w(o) = 3*o**2 + 6*o. Calculate w(v).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let g(q) be the second derivative of -q**5\/20 + 3*q**2 - q. Let y(l) be the first derivative of g(l). Determine y(k(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -514632 from 16.96.\nAnswer: 514648.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532800 is divided by 44398?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(14\/(-3)))\/((-6)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -33 - 10) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2. Let a(z) = -3*z - 11. Let s = -44 - -34. Let k be a(s). Let d(n) = k*n - 8*n + 9*n + 11*n. Calculate d(w(o)).\nAnswer: 62*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.269 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 22 = -c. Let x = c + 11. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44.57 and 26719648.\nAnswer: 26719603.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2)*(10\/(-5) + 2). Suppose z = -9*c - c + 100. What is the remainder when 68 is divided by ((28\/(-10))\/(-1))\/(2\/c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 - 27*k**2 - 96*k - 92 = 0. What is k?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 509517552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1673991 divided by -3.\nAnswer: -557997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 - -1.8. Let f be (-4)\/(-8)*-1*2. Is l smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 289 - 292. What is the biggest value in 1, -1\/5, -1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 96. Let g(l) = 1057*l + 12. Is g(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/81 + 21\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 2)*4 + 11. Suppose -5*z - 2 + l = 0. Let q be (z*(-3 + 3))\/(-2). Solve -b + 1 - 4 = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 9*j - 6. Let q(z) = -2*z**2 - z + 2. Let v be q(2). Let a be x(v). Calculate the remainder when 25 is divided by ((-30)\/(-25))\/(a\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**8\/210 + s**7\/420 + 5*s**3\/6 + 5*s. Let a(b) be the second derivative of v(b). Determine q, given that a(q) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4650\/(-527))\/75 + 116\/119.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 2, o: 1, n: 2, g: 2}. Give prob of sequence gdoe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:44 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*r + d, -2*d = 2*d + 12. Which is the nearest to -1\/4? (a) r (b) -5\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*v - 15 + 43, 2*v + 2*g = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 12*m. Let j(d) = -5*d**2 + 0*d**2 + 7*d**2 - 5*d**2 + 8*d**2. Determine w(j(a)).\nAnswer: -75*a**4 + 60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4751 (base 11) in base 15?\nAnswer: -1ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 0.3 (c) 0.18 (d) -31 (e) -4 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 43055231, 4 in increasing order.\nAnswer: 2\/7, 4, 43055231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(288) + -2*sqrt(288) - sqrt(8)).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -903*n**2 + n - 27 wrt n?\nAnswer: -1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 4, s: 3, u: 1}. What is prob of picking 1 s and 2 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Let a(g) = g + 3. Let q be a(3). Solve -2*d - 5*u = -q, 4*d - 3*u = j*u - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 0.044, 0.5, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:12 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1902, 3804, 5706?\nAnswer: 7608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(sqrt(300) + 3*sqrt(300)*6 - (sqrt(300) - (sqrt(300) + (-3 + sqrt(300))*6) - sqrt(300))))**2.\nAnswer: -1347840*sqrt(3) + 29249856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 17*u**2 - 153*u + 359. What is the remainder when 21263 is divided by f(23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 2*l + 3*l**3 - 16 - l**2 + 17)*(6*l - 5*l + 0*l).\nAnswer: 3*l**4 - l**3 - 2*l**2 - 78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2435 is divided by 163?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 - 87 = -19*l + 4*l. Suppose -2*x = 4*c - 46, 4*x + c - 52 = 3*c. Suppose x = l*r - 40*r. Solve -11 = -r*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*t + 101*t - 3*t**3 - 208*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4 - 0\/5. Is (-1 + h)*(70 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180725303 and 58?\nAnswer: 361450606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 8*u**2 + 154*u + 24. Let c be i(9). Solve c*r - 23*r - 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960676.\nAnswer: 2, 240169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38653056 is divided by 2433?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5180 - 4476. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i + 0*i + (-2 + 1 + 2)*(-5*i + 5*i + 2*i) + (6 + 4 - 5)*(0*i + i - 2*i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 55 = -8*o + 26 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 470, -2, -5\/3 in decreasing order.\nAnswer: 470, 2, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*p = 19, -3*p - p = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -493 + 511.59. Let x = -19 + v. What is x rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - z**2 - z + 7. Let l be j(0). Suppose 6*y - l*y = -354. Suppose -n = 2*i + 3*n - 126, 3*n + y = 5*i. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 90 (b) -2\/103 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + 1 + 2 + 6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131665 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*t - 20, 5*k + 25 = -8736619*t + 8736623*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2 (b) -8 (c) -2695 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - p - 1. Let q(d) be the third derivative of 2*d**5\/15 + 7*d**4\/12 + 2*d**3 - 3*d**2. Let u(s) = -6*c(s) - q(s). Factor u(i).\nAnswer: -2*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -2\/9 (c) 26 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.11333ug to nanograms.\nAnswer: 9113.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395456 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 7:00 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153144 and 5400?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-104) - (-54)\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 6)*45\/(-10). Suppose -4293 = r*y - 13725. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19246 is divided by 640.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/3 (b) -1\/8 (c) 4 (d) -0.13 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 3*z. Let g be w(4). What is the highest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, t: 1, x: 12, w: 3, q: 1}. Give prob of picking 1 a and 1 w.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 2\/3 (b) 85 (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 - 125 = 2*z, -5*y - 185 = 3*z. Let d = -68 - z. Let b(o) = 3*o**2 - 3*o**2 + 4*o**2 - d*o - 1. Determine b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 - -122. Let l be (-348)\/(-2)*(-1 + 2). Let j = p + l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 4, -43.2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3061, -2684, -2305, -1924, -1541, -1156?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 + 185 = 53*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 10 = -59*o + 63*o, 0 = -2*f - 5*o - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 468*a + 128*a - 682*a - 65*a in the form k + u*a and give u.\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105690.\nAnswer: 2, 5, 110569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62\/4 - (-11)\/22. Find the second derivative of 15*i**5 - 2*i + 10*i - o*i**5 wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m**2 + 0 + (0 - 2 - 2)*(-m**2 - m**2 + m**2))*(-4 + 0 + 1).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 2*d - 10. Let l be o(-5). Let s = 227\/9 + l. Suppose k + 2*y = 6*k + 15, y = 5. Which is the nearest to -0.1? (a) k (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-488)\/732)\/(1\/(-9)). Let g(p) = -p**3 + 7*p**2 - 2*p - 10. Calculate g(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 5, v: 1, y: 2, c: 2, d: 6}. What is prob of picking 1 o and 1 n?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.02. Let d = x + -0.32. Suppose -2*t = -4*r + 4, -5*t - 5*r + 6*r = 19. Sort t, d, 0.07.\nAnswer: t, d, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2*c**3\/27 + c**2\/9 + 2. Factor k(x).\nAnswer: 2*x*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 77?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-17*30\/(-255)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 46*l - 3323. Give i(73).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18400493823 + 0.04\nAnswer: 18400493823.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7460797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1891 and 25503917.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*-2*sqrt(4212))\/(((-1*sqrt(256) - sqrt(256)) + sqrt(256) - sqrt(256))*5 - (sqrt(256) + -2*sqrt(256)*-1 + sqrt(256)))*-2.\nAnswer: 81*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/3)\/(-8)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*c = -3*l - 27, 0 = -l - 5*c - 21. What is the common denominator of (-317)\/72 - l\/(-27) and -16\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -35 - -44 - 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 3*m - 67, -3*o + 13 = 5*m. Let i be o*(4 - (-1 + 4)). Suppose 4 = -3*u + 7. Calculate the greatest common factor of u and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.814 - -0.2821372.\nAnswer: -29.5318628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1 (b) -1\/6 (c) -53 (d) -2\/5 (e) -2\/13 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168658841 by -6.\nAnswer: -168658841\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -982\/9. Sort -3, t, 0.04, -4 in decreasing order.\nAnswer: t, 0.04, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from {t: 6, v: 8, s: 1, p: 1, w: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*o = -2, -2*o + 22 = -14*t - 24*t + 43*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (0 + 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 5*m, -5*m = 2*z. Suppose 0 = -z*d - d. Suppose -5*t + 10 = -3*k - 0*k, d = 3*t + 3*k - 30. Solve 3*g + 1 = -t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -439b4e (base 16) to base 15\nAnswer: -5c7bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**3 - 3*c**2 + 3*c + 2. Let l be j(-4). Let d = l + 104. Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-10)\/240*16\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27357?\nAnswer: 3, 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-1 - -4) - 6) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76540 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:46 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25725 (base 8) to base 6\nAnswer: -123541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.13358 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -767 or -770?\nAnswer: -767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and 63\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 3. Suppose 4*s = -3*t - 16, 0 = 12*t - 11*t. Let d(k) = -4*k - 2. Give s*d(c) + 3*h(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(425) - (sqrt(1275)\/sqrt(3))**2) + ((4*sqrt(816))\/(-4*(sqrt(3) + sqrt(12)\/sqrt(4))))**2.\nAnswer: -354 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6334039*y**2 - 10302232?\nAnswer: -12668078*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2532611 decades in months?\nAnswer: 30.391332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b5 (base 12) to base 13.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + t**4 - t**4 + (0*t - t + 3*t)*(-22*t**3 - 11*t**3 + 8*t**3).\nAnswer: -51*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(sqrt(192) - (1 + (sqrt(192) - sqrt(192)*-2))**2) + 2*(sqrt(192)*-3*5)**2).\nAnswer: -176258 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*6)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150*126\/(-2646)*7\/(-6).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -29, -40, -45, -38, -13?\n\"Answer: z**3 - 6*z**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 302, -3 in decreasing order.\nAnswer: 302, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 128*j + 72*j - 156*j - 114*j.\nAnswer: -326*j + 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3 + 120. Let x(b) be the first derivative of 0*b - 2 - 13\/2*b**2. Determine v(x(c)).\nAnswer: 507*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 5 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -77.4. Let h = -141 + 142. What is the closest to h in -0.5, 1\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 28. Let l be o(0). Suppose 105 = 2*m + 5*b, -b + 110 + l = 3*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgtgccrogtxxt. Give prob of picking 2 g and 1 o.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-777*k**4 + 777*k**4 - 31*k**5).\nAnswer: -31*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 28. Calculate k(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86613 times -0.5?\nAnswer: -43306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Which is the nearest to s? (a) 3\/2 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2305 - 2.4004559\nAnswer: 2302.5995441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) 0.1 (c) -4\/3 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away 22742858023?\nAnswer: -22742858023.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((sqrt(363)\/(sqrt(11)*-1))\/((2*sqrt(3) - sqrt(3))*-5 + sqrt(3))*-4)**2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - m - 9*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5418 and 203\/17550.\nAnswer: 5282550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5338 + 3982. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26199, 52401, 78605, 104811?\n\"Answer: t**2 + 26199*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -32. Suppose a + v = -4*a + 65, 4*a + 5*v - 73 = x. Calculate the highest common divisor of a and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107558 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 2853644*c - 25682472.\nAnswer: -4*(c + 9)*(c + 713402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 32*u**2 + 35*u - 47. Calculate the remainder when 62 is divided by z(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/198 and -65\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**3 - 22*x**3 - 69*x**3 + 22*x + 32*x**3 - 22*x.\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8400 is divided by 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -855 - -849. Which is the biggest value? (a) -5 (b) j (c) 0.14 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -2)*(-2)\/(-6). What is the closest to 1 in b, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n - 6*n + 5 - 5 as p*n + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 9 = 9*r. Sort 6, -15, r.\nAnswer: -15, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214417949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - -67)*1806\/559?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 1, -2?\n\"Answer: -3*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96169 (base 11) in base 6?\nAnswer: 2555531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:01 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 2*h**2 + 2*h + 1. Let i be p(2). Suppose 3 = t + 5*c - 3, 2*c - 70 = -3*t. Calculate the highest common divisor of t and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 2812814.\nAnswer: 4781783.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 220*b + 5856.\nAnswer: -(b - 244)*(b + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/3*8\/3. What is the first derivative of 7*i**2 + 33*i**2 - b*i**2 + 0 + 1 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssrssssss. Give prob of picking 2 s.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12) - (sqrt(12) - sqrt(60)\/sqrt(5)))\/sqrt(6).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvav when four letters picked without replacement from {l: 10, m: 3, a: 1, v: 4}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-28352.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*m + 15 - 22, -2 = -3*m - j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -98*d. Let v(g) = 245*g - 247*g - 8 + 8. Give v(j(i)).\nAnswer: 196*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -644*z**3 - 369*z**2?\nAnswer: -3864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-20) + 43\/(-4). Let k be (-3)\/w*4\/6. Suppose 2*a = 2*o - 10, 1 = -o + 5*a + 22. Is k less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 21 = -0*c + c, -5*c - 5*z - 55 = 0. Calculate the remainder when 128 is divided by (52\/10)\/(c\/(-65)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 29. Let a be w(-13). Let d be (-28)\/a - (-1 - 14\/(-6)). Sort -5, d, 0, 5 in ascending order.\nAnswer: -5, d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0934 - 823.9066. Let w = n + 847. Put -4\/3, w, -2, -4 in ascending order.\nAnswer: -4, -2, -4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -21, 3.\nAnswer: -21, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 18)*2\/4. Let r = s + 10. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26 - (-678)\/27)*(-54)\/12. Let q(p) = -4*p**3 + 2*p**2 + 2*p + 1. Let t be q(-1). Solve t*m = 2*z + 14, -5*m = -n*z - 17 - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -63\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (1720\/18)\/(-10) - 4922\/(-18). What is the greatest common factor of 52 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 + 455*i**2 - 450*i = 0 for i.\nAnswer: 0, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11423 + 89010. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -3.3?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(24*7\/70).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 34704.\nAnswer: 34704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/938938 and -113\/882.\nAnswer: 8450442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 5)*(-2)\/4. Let z = -0.45 - -0.4. Let f = z - -0.35. What is the closest to -1 in d, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*p + 16*p - 17*p + 3)*(-3 + 0 + 5) + (0 - 3 + 0)*(0*p + 4*p - 3*p).\nAnswer: -91*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -707*b*w**3 - 13587*b*w - 888*w**3 + 2*w**2 wrt w?\nAnswer: -4242*b - 5328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130 - -19) + 113 - 89?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 10. Give u(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0513 - 256.9487. Let t = -258 - k. Which is the third biggest value? (a) -11 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + p**2 - p**2)*(123*p - 59*p + 442*p)*(3 - 4 + 0) to y*p**3 + r*p**2 + z*p + u and give y.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y + 1 - 1)*(1 - y**4 - 1).\nAnswer: -y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p = 0. Let w be 11 - (1 + (p - 3)). Suppose -6*n + w = -3*i - n, 0 = -5*i - 3*n + 35. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*j**2 - 3*j + 18*j - 2*j - 14*j + 3*j as b*j**2 + t + w*j and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -30. Let w be (2\/4)\/((-28)\/(-16)). Is p at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-90)\/(-55))\/(-6))\/((-165)\/110)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380.5369172 rounded to 0 dps?\nAnswer: -1381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1655)\/(-993)*(-36)\/4350\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 446797447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 64 = -4*a, -2*a = -5*c + 366 - 283 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 13*r**2 + 49*r + 212. What is x(-7)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 9*s - 7. Let a be 1 + 8\/(0 + -1). Is v(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.5 (c) 280 (d) 5.539\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 298*k - 227. Determine f(2).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + c - 78 = -4*q, 0 = -2*q + 2*c + 152. Is ((4 - q) + -3)*-1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -15\/4*d**4 + 5*d**2 + 0*d - 5\/3*d**3 - 67. Factor n(g).\nAnswer: -5*g*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107409494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 605.6 + -869. Let k = 43.3 + m. Round k to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 17*y**2 + 16*y + 12. Let n = -72 - -88. What is the remainder when g(n) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-75)*5*(2 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78384560 to the nearest 100000.\nAnswer: -78400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 9:14 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, e: 2, c: 8}. What is prob of sequence ewec?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 18*s - 24. Let o be v(17). Let q = o - -44. Solve -6 = q*r - r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1063*q + 1. Let w(i) = 213*i. What is 11*w(z) - 2*y(z)?\nAnswer: 217*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 1, n: 1, b: 1, i: 1}. What is prob of picking 1 n and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9399727219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-6)\/n)*n*n\/(n\/(n*n**(-2)*n)))**(-35) assuming n is positive.\nAnswer: n**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 + 38928*j**2 + 2090228*j - 2129160 = 0.\nAnswer: -9678, -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9259\/5? (a) 2\/17 (b) -14 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 6 - (14 - 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l)\/l*l*l*l*l*l*(l\/l**(-1\/27)*l)\/l*l assuming l is positive.\nAnswer: l**(28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*k - 2003532 - 4352948 = -1332131. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.154974mg?\nAnswer: 0.000000008154974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - 2*g)*(-g - 2 - g + 3*g) - 4 - 4*g**2 + 4.\nAnswer: -2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2*-4)\/(sqrt(10) + (sqrt(10) - -3*sqrt(1440))))**2 + 3*(sqrt(52)*-2 + 1 + sqrt(52) - (-2*sqrt(52))**2*-2).\nAnswer: -6*sqrt(13) + 451819\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3650)\/1095*(-36)\/(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 26. Let f = -6 + 15. Let s = k - f. Is -2\/5 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506 (base 9) to base 3.\nAnswer: 120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23748790 divided by 22010.\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1379? (a) -1\/7 (b) -1\/5 (c) -8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:47 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:07 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/86 in -1\/2, -1\/245, 3?\nAnswer: -1\/245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -217781023 + 4\nAnswer: -217781019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 6*f. Let h be p(3). Let w = -8 - h. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665251360 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488029757?\nAnswer: 3, 3229, 153611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -1.94. Let d = s - -1.14. Let z = 4 - 5. Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52\/9 - -53\/9. Which is the third biggest value? (a) -4 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 7*y**2 + 7. Let a(h) = h**3 + 3*h**2 + 3. Let o = 11 - 4. Calculate o*a(l) - 3*d(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2190 and 27494?\nAnswer: 30105930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.005 times 1\nAnswer: -1.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1087)\/(4 + 41703\/(-10425)). Suppose -2*z - 13757325 = -x. Round z to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5)*(0 + (-8)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118714686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from rkkgr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 - 2*u**4 + u**4 + (-3*u - 2*u**2 + 3*u)*(-3*u**2 - 2*u**2 + 8*u**2).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-3\/2))**13*((n**(8\/5)\/n*n)\/n)**(-1\/12) assuming n is positive.\nAnswer: n**(909\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5036 (base 15) in base 4?\nAnswer: -10020132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -124308?\nAnswer: -124314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5*y**2 + 7*q**5 + 118*q**3 + 22*q**2 + 626*q*y**2 wrt q.\nAnswer: 120*q**2*y**2 + 420*q**2 + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.433622 kilometers in meters?\nAnswer: 9433.622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (4*(sqrt(77) + (sqrt(77)*3 - sqrt(77) - sqrt(77))) - sqrt(77)))\/(sqrt(49)\/(sqrt(7)*-2)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/22, -2\/5, -5208, -37\/3?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -5\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 716.9 - 717. Which is the biggest value? (a) -0.2 (b) 27 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116896446419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1616, -6375, -14306, -25409?\nAnswer: -39684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20679?\nAnswer: 3, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + 2 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1 - 2 + 9*d + 5*d - 2. Is 9 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 8*f - 11*f, 4 = 4*f + 5*z. Let s be (-3)\/(-9)*(-3 + 3). Solve -f = -s*r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-6)\/(-300))\/(2\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 3. Let t(v) = -3*v + 2. Calculate 4*r(s) + 6*t(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-104)*(-8)\/3*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * 81576\nAnswer: -17130.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-42)*2\/(-56)*-3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z. Suppose 38*x = 33 + 5. List the prime factors of (z\/x + -124)\/(2 - 4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 20*v + 3. Let j(d) = -21*d - 4. What is -5*b(n) - 4*j(n)?\nAnswer: -16*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 4, -0.6, -2\/9, -4, 1 in ascending order.\nAnswer: -77, -4, -0.6, -2\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/894, 3, 2\/13, 1, -5 in descending order.\nAnswer: 3, 1, 2\/13, 7\/894, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59287.44 millilitres?\nAnswer: 59.28744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -4*sqrt(171)*-2)\/(sqrt(9) + (sqrt(9) + sqrt(81))*6).\nAnswer: -7*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 47*j = -28*j + 38641. List the prime factors of j.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-4)\/(-32)). Suppose l*c - 20 = -4*n, -c + 6*c = 2*n + 25. Let b be 66000 - (n\/(-1))\/(-1). Round b to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 + 1.54. Let o = h + -0.3. Let a be ((-2)\/(-3))\/((-352)\/198). What is the nearest to 1\/2 in a, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1971549*m**2 - 62504 with respect to m.\nAnswer: 3943098*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*o - 39*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -1 + 1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q - 1826 = -202*q + 71*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 92*p**2 + 2116*p.\nAnswer: p*(p + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 489*h**2 - 88*h + 124. What is p(1)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*(sqrt(33) - sqrt(3300)))\/sqrt(11) - (((2*sqrt(243))**2 - sqrt(3)) + sqrt(3) + 1*sqrt(432))).\nAnswer: 18*sqrt(3) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 5*a**2 - 15*a**2 + 3*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 470 * -2.8.\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + f**2 + 0 + (f + 0*f - 3*f + 35)*(f + f - f).\nAnswer: -f**2 + 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:06 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -122c2 (base 13) in base 14?\nAnswer: -c295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95\/2 + -48. Let t = 46 - 44. Let v be t\/66*6 + (-98)\/176. Which is the second smallest value? (a) v (b) f (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/(-2)*8\/(-4). Let j be 0 + c + 2\/2. Let a = 73 - j. Calculate the remainder when a is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9.01. Let c = t + 1.99. Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478245 at most as big as 5478233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/18)\/((-2)\/(28\/(-7))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 35830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 6*g. Let r(p) = -3*p**2 - 7*p + 1. Let d(z) = 4*i(z) - 3*r(z). Let n be (1 - -2)*(-7)\/(-3) - -1. Let a be n\/7*(-63)\/(-18). Determine d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4*((-32)\/(-12) - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {q: 1, m: 2, x: 7, e: 1, s: 8, k: 1}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m - 2*m + 0*m - m + 2*m + (-2*m - 5 + 5)*(-4 - 3 + 6) - 2 + 2 - 2*m + m - 4*m + 7*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14282814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 10, x: 1, f: 1}. What is prob of picking 1 j, 1 b, and 1 x?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/55)\/(81\/(-2430)*3\/1*92)?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 559357999928\nAnswer: 559357999927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-450)*10)\/((-2)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3114*x - 2627. Is g(124) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 32. Let v = f + 16. Solve -14 = -y + 4*n, 3 - 1 = v*y - 2*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4092 or -1?\nAnswer: 1\/4092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 9*o + 3, 4*j - 9335 = o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -1, 2\/15, -0.04, -4 in decreasing order.\nAnswer: 2\/15, -0.04, -1\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -50, 251, 0.19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:10 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2767663, -5535325, -8302985, -11070643?\nAnswer: -13838299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 4585*y + 4580*y + 21, 15*l = 16*l + 2*y for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 174 + -45 + -23?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 150*t + 148*t + 57247*t**2 - 7.\nAnswer: 57247*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0692 + -6.0292. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/864 and -59\/324.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1272258247 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15.7+-0.661\nAnswer: -16.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, -5, -18, 4 in decreasing order.\nAnswer: 4, 2, -5, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 + 9*x + 3. Calculate c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*c + g, c + 9 = -2*c - 3*g. Suppose c*q = -3*q - 4*l + 4, -q - 8 = -l. Let y = -2.2 + 1.7. Put q, y, 0.5 in descending order.\nAnswer: 0.5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1993840 and -89\/20735936.\nAnswer: 103679680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.5 + -58. Let j = 6.5 + r. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**20*w*w\/(w*w**(-1\/33)) assuming w is positive.\nAnswer: w**(694\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -2*j**7\/21 + j**6\/60 + 5*j**4\/24 - j**3\/3 + 131*j**2. Find the second derivative of v(p) wrt p.\nAnswer: -240*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 23*h + 4. Let o be w(6). Suppose 0*x + 4*x = 2*g + o, -2*x - 4*g + 20 = 0. Solve z - 2 = 2*q + 5*z, 4*q = 4*z - x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18832 and 3704982.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.69 * 8.26759.\nAnswer: 38.7749971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 1. Let j(x) = x - 1. Let g(b) = -d(b) - 4*j(b). Let u be g(-6). Which is smaller: u or -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40392 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1460\/(-1168))\/((-3)\/66)*8\/22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-17\/4)*h**(2\/69)*h*((h\/h**4)\/h)**(-9) assuming h is positive.\nAnswer: h**(9047\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 42 in decreasing order.\nAnswer: 42, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5080 or -0.82?\nAnswer: 5080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/12 + 2 + -4. Let m(b) = -b**2 + 9*b + 13. Let f be m(10). Suppose -5*k + 10 = -5*n, -k + f = -3*n - 3. Which is bigger: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.008 + -3.992. Let d(p) = p**3 + 4*p**2 + 2*p. Let v be d(-4). What is the third biggest value in q, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7496198*h**3 + 3*h**2 + 7496191*h**3 - 3*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80.5 + -21.5. Let n = -65 + z. Put n, 0.5, -1\/4 in descending order.\nAnswer: 0.5, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -17896?\nAnswer: -17896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 88\/21*k**3 - 19\/7*k**2 + 4\/7*k + 31. Factor x(a).\nAnswer: 2*(4*a - 1)*(11*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -1505, -2905, -4785, -7169?\nAnswer: -10081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 8. Let a be u(-4). Suppose -4*s + a*s = 84. Let i = -17 - s. Calculate the lowest common multiple of 46 and i.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2 - 2)*(-2*m + 0*m - m)*(-2*m - 2*m + 7*m).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3262 divide 72190418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46575162 and 21708.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:46 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/(-22))\/((-2)\/(152\/(-3))). What is the highest common divisor of 1349 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 24.796. Let f = j + -0.314. Sort -6, f, -0.2 in decreasing order.\nAnswer: f, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 1, t: 3, f: 1, q: 6}. Give prob of sequence fqt.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 0.211 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 183, 570, 1315, 2538, 4359, 6898?\n\"Answer: 20*t**3 - t**2 + 12*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2631 times -58354?\nAnswer: 153529374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -13\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*p + 78*p**2 - 149*p - 40*p**2 - 39*p**2 - 5 - 156*p as k*p + o*p**2 + w and give k.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3024 divided by 3024?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 + 4680\/81 + 2. Let r be (-16 - -1)*(-5240)\/b. What is r rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -24 (c) -2 (d) 16 (e) 155\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 + g**2)*(-4*g - 3*g + 3*g)*(24 + 19 - 38).\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - (-9)\/3)*260. What is g rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 2*f + f**2 + 2\/3*f**3 + 0. Suppose -2*p = -0*p + 12. Let s(k) = 7*k + 3. What is p*s(n) + 10*r(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 88. Let t = 200 + h. Is t a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*w + 102 with respect to w.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 9019\/2416?\nAnswer: 9019\/2416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*z - 11 + 134, 4*z + 193 = 3*w. Calculate the remainder when 619 is divided by w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74731.6 + -429.\nAnswer: 74302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3152 and 0.02798.\nAnswer: 3152.02798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5110324 (base 9) to base 5.\nAnswer: 1144114310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/2*(-2 + 1). Let f(s) = 7*s**2 + s + 4. Let b be f(-3). Let z = o + b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10336 - 10161. Solve -160 = 67*t + x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, c: 4}. What is prob of sequence kc?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 849, 1675, 2477, 3255, 4009, 4739, 5445?\n\"Answer: -12*d**2 + 862*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78 + 20)*1\/2*-1. Which is the closest to -1? (a) 2\/11 (b) 5 (c) i (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**3\/3 + 107496*b**2 - 429976*b\/5 + 257984\/15.\nAnswer: -2*(b - 32248)*(5*b - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, e: 7}. Give prob of picking 2 i and 1 e.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6760 is divided by 157.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 146. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.652547958 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-15)\/9)*-6. Let z be 11\/(-12) + (-7)\/v. Let r = 0.8 + -4.8. What is the closest to 0 in z, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = -2*x, 4*m + 5*x = 8 - 3. Suppose -4*d - 1 - m = -2*n, 1 = -4*n - 5*d. Suppose -b + 2 = n. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 28*d - 90. Let o be u(11). Suppose 4*b = -2*f + 128, 0*b - f = 3*b - o. Calculate the lowest common multiple of 33 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 - -2) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**2 - 3. Let z(s) = 13*s**2 + 5. Let d = -585 - -575. What is d*n(q) - 6*z(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 207*l**3 - 6*l**4 + 206*l**3 - 14 - 3*l**2 + 8*l**4 in the form n*l**3 + h*l + j + v*l**2 + z*l**4 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, d: 2, x: 3, q: 3, c: 1}. What is prob of sequence ccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288014349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 58, 119, 234, 421, 698, 1083, 1594?\n\"Answer: 3*l**3 + 4*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:49 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14132\/15 - -866841\/920. Calculate the common denominator of s and 101\/184.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -1239*z + 1261*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -2*t, 5*t - 4*z = -3*z - 5. Suppose w + t = 14. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y - 81 + 185 = 0. Factor -3 + 5\/3*c**y - 1\/3*c**3 - c.\nAnswer: -(c - 3)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(2128\/(-57)) + 50\/(-8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 19*w**2 + 18*w + 2. Let f(o) = -3*o + 2. Let n be f(0). Let z = n - 20. Let x be k(z). Solve 4*c - 2 = x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvffvv. Give prob of picking 1 f and 1 v.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1236*n**2 - 16*n - 1341. Let v(t) = -1237*t**2 - 12*t - 1338. Let r(b) = 3*u(b) - 4*v(b). What is the derivative of r(o) wrt o?\nAnswer: 2480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 2*a + 7. Let m be u(-2). Let c(k) = 2*k - 8. Let n be c(6). Let v be (n\/4*0)\/m. Solve x + v*x - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -u + 4, -4 = 2*y + 3*u - 8. Let a(c) = -4*c - 7 - 2*c + y*c + 2*c. Let h be a(-4). Solve -5*f + 4*f = h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022022?\nAnswer: 2, 23, 113, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26591 or 26584?\nAnswer: 26584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**4*z - 28850*t**2*z**2 - 55141*z**2 wrt t?\nAnswer: 8*t**3*z - 57700*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(432)*2 - sqrt(432)))\/((sqrt(484) + (sqrt(484) - (-3*sqrt(484) + sqrt(484)) - sqrt(484)))*3*6).\nAnswer: -sqrt(3)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1629.9986 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/18704 and -97\/4342?\nAnswer: 243152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.7536 litres?\nAnswer: 6753.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 = 2*h. Suppose -3*x + 5*v + 15 = x, 2*x - 4*v = 0. What is the lowest common multiple of x and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 2:21 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6867.9 - -5908?\nAnswer: -959.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - l**4 + 6 + 0)*(7*l + 6 - 6).\nAnswer: -7*l**5 + 63*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 3.1 (c) 1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16685587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 18 = 2*v, -2*k + k + 32 = 3*v. Solve -17*p + v = -19*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 57 = -5*u - 94, -4*u = 45*x - 250 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178\/11 + -740\/77. What is the common denominator of q and -87\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffflkffkfcllflqfolcq. Give prob of picking 1 q, 1 l, 1 c, and 1 o.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -263, -152 in descending order.\nAnswer: 4, 0, -152, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*i*t**3 + 6*g - 57*i**3*t**2 + 3*i**3 wrt t?\nAnswer: 6*g*i*t**2 - 114*i**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = 3*x, -2*u - x = 2*x + 9. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = -2732516 + 26843408 + 5231108. What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/sqrt(2) - sqrt(11)) + -1 + sqrt(121)\/(sqrt(44)\/sqrt(4)))**2 - 5*sqrt(176)*-1.\nAnswer: 12 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 513*w**2 - 1038*w.\nAnswer: 3*w*(w - 2)*(w + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1350523 - 507523. What is w rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 1226*n**4 - 234*n**3 - 5712. What is the third derivative of u(o) wrt o?\nAnswer: 29424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) + sqrt(95)*2 + sqrt(95))*-6 + sqrt(95))\/(sqrt(80)*-4 - sqrt(80)) - (sqrt(152)*-2*-1)\/(sqrt(48)\/(sqrt(216) - sqrt(6))))**2.\nAnswer: 150499\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9470642287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -90, -170, -274?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 12 = -13*d. Suppose -d*t = -41 - 115. Calculate the least common multiple of t and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1629178.\nAnswer: 2, 17, 47917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(132)\/(-2*sqrt(11))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2773776ml?\nAnswer: 0.0002773776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 72 = -x, 0 = -2*y + x - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2 - 8, -2*l - 4*h = -376. What is the remainder when l is divided by (-2)\/(-9) + (-11900)\/(-315)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-266)\/(-8) + 3\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -546199, -546206, -546217, -546232, -546251, -546274, -546301?\n\"Answer: -2*q**2 - q - 546196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 922891 to the nearest ten thousand.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*c**2*q**2 - 6*c**2 - q**2 + 15*q wrt q.\nAnswer: -144*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91.1 - -97. Let v = 7.6 + -1.6. Let f = v - t. Which is the second biggest value? (a) -1 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x + 25. Let d be o(2). Let f = 170 + d. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 498 - 498 + 10*i**3 + (-66816 + 78*i**2 - 2*i + 66816)*(-i + 0*i - i) as f*i + n*i**3 + q*i**2 + a and give n.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y - 4. Let r(b) = -3*b**2 - 3*b + 13. Let q(x) = 7*l(x) + 2*r(x). Let f be q(-3). Suppose 321 = k + f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:50 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 213961 to the nearest 1000.\nAnswer: 214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 55*r**2 + 2*r - 27*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -g. Suppose g*l - 26 = -5*m + 18, -2*l + 4*m - 4 = 0. Let p(k) = -k + 7. Determine p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*k + 14 = 0, 3395*i - 3*k = 3396*i + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - z**4 - z - 2*z**3 + 1 - 4 in the form x*z**3 + k*z**4 + y + w*z + i*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 9*r - 2. Suppose -23*g - 40 = -13*g. Let k(j) = 3*j**3 + 10*j - 2. What is g*k(i) + 5*a(i)?\nAnswer: -2*i**3 + 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -2\/9*n**4 - 7\/18*n**3 + 4 + 0*n**2 - 3*n - 1\/60*n**5. Determine r, given that d(r) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t. Let b(q) be the first derivative of -4*q**2 - 3. Suppose 0 = 4*f + f - c + 263, -5*f - 5*c - 245 = 0. Let n = f - -56. What is n*v(l) + 5*b(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16092\/(-13410))\/(372\/(-10)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335 + 731. Is 25 a factor of 2\/(-3)*h\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 13) to base 4.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idurirgdrddgrgirdrr. Give prob of picking 2 r, 1 d, and 1 g.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(198)*-3 + sqrt(198))\/sqrt(11))\/(sqrt(72)\/(sqrt(12)*-2) + sqrt(24)\/(sqrt(4) + 2*sqrt(4))).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 2*m**2 + 4*m - 5. Does 2 divide a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b**(-8))\/(b**5*(b\/b**(-5\/4)*b)\/b*b) assuming b is positive.\nAnswer: b**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/19)*d)\/d*d)\/(d\/(d*d*d\/(d\/d**(2\/13))*d*d))*(d*d\/d**(-1\/6)*d)**(7\/8) assuming d is positive.\nAnswer: d**(80227\/11856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d**2 - 638*d**3 + 634*d**3 + 8*d**2 to the form q*d**2 + a*d**3 + w*d + f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1922425 and 46960.\nAnswer: 30758800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - -20. Round h to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -50. What is the lowest common multiple of 12 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 4 + 2 + 0*t**2 - 455*t**3.\nAnswer: -455*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 102, 295, 596, 1023, 1594, 2327, 3240?\n\"Answer: 3*s**3 + 27*s**2 + s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.613 - 3.423. Let v = 26.81 - 27. Let z = l + v. Which is the nearest to 2\/9? (a) 5 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002067 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**4 + 64 + 286*u + 278*u - 581*u wrt u.\nAnswer: -12*u**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 15, 5*m - 5*r = 5. Let h be 17 - ((3 - 1) + -1). Let w = h - 5. Calculate the remainder when w is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.125 + 0.025. Let l = 6931313 - 6931309.899979. Let i = l + d. Round i to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 2*x - 2. Let r be m(2). Calculate the remainder when 46 is divided by (-32)\/(-20)*r*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b - 4*b**3 - 9*b**3 + 39*b - 20*b.\nAnswer: -13*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10463*a - 10457*a - 10469*a - 10456*a - 10464*a - 10460*a + 62768*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 365394316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.062 and -55?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158b + -714a?\nAnswer: -8708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3*t**6\/5 + 11*t**5\/10 - t**4\/3 - 51*t - 66. Let b(x) be the first derivative of l(x). Factor b(y).\nAnswer: -2*y**2*(y - 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = 3*a, -5 = -3*i + 2*a. Suppose -b = 2*n - 0*n - 6, 4*n = b + 6. Calculate the lowest common multiple of i and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*g = -143*g - 16. Let p be (8 - (-30)\/(-6))*g\/3. Factor 4*r - 8\/3 + 4\/3*r**5 + 8\/3*r**2 + 0*r**p - 16\/3*r**3.\nAnswer: 4*(r - 1)**3*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*c**3 - 3*c**2 - 10*c - c**3 + 20*c as w*c + r*c**2 + g + j*c**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4305626 divided by 1\nAnswer: 4305626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**5\/150 + y**4\/60 + y**2\/2 + 2. Let c(f) be the second derivative of g(f). Find s, given that c(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 3*b, -4*m - 35 = 5*b - 0*m. Let z be 10\/5*b\/(-10). Factor 0*n - 1\/5*n**2 + 0 - z*n**5 - 7\/5*n**4 - n**3.\nAnswer: -n**2*(n + 1)**2*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -0.0778782516 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1, 0.4, -5, -4\/1237.\nAnswer: -5, -3, -4\/1237, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 45 = -6*r. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 2114803.\nAnswer: 288\/2114803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 80.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*o + 23. Suppose 0 = -4*x + 20 + 44. What is the remainder when o is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -0.2, 1\/13, 1\/3, 73 in ascending order.\nAnswer: -11, -0.2, 1\/13, 1\/3, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 5*o**3 + 0*o**3 + (-5 + 3 + 4 + (-3 + 2 - 2)*(-2 - 4 + 5))*(2*o**3 - 13 + 13) to t*o**3 + n*o**2 + q*o + l and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 23 - 1. Suppose -4*m + 5*t + 91 + 56 = 0, -2*m = t - 63. What is the smallest common multiple of 27 and (-1)\/(6\/i) - (-242)\/m?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 3552.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112211 (base 5) in base 4?\nAnswer: -20213222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + 7*o - 5*o, -9 = -3*w + 4*o. Sort -2, w, 7 in descending order.\nAnswer: 7, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299532 is divided by 258?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122616 and 20043?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000054574 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 5*b - 334. Let l = -65 + b. Let q be (1\/(-4))\/(-4 - l\/(-16)). Sort 4, 1, 0, q in descending order.\nAnswer: 4, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 g when four letters picked without replacement from {n: 10, g: 9}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 476. Let u(h) = -3*h + 11. Give m(d) + 2*u(d).\nAnswer: d - 454","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24118 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297233480.\nAnswer: 2, 5, 61, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 - q**2)*(59*q - 536*q + 349 - 349).\nAnswer: 954*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/17115 and 83\/30807?\nAnswer: 154035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 563*d - 3373. Let v be t(6). Solve -5*c = -2*a - 13, -c + 3*c - v*a = 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:08 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6717a + 29?\nAnswer: -67151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:51 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**3\/3 + 79*n**2 + 7*n. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/11 and 59\/851706.\nAnswer: 9368766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 15*m - 50, m = 261*b - 263*b + 2*m - 15 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22*30443487\nAnswer: -669756714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/3 + 190*k**2\/3 - 1472*k - 1536 = 0.\nAnswer: -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -2123.\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2385*z**4 - 127350*z**2 + 441241232*z?\nAnswer: -28620*z**2 - 254700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 23. Let p(v) = -1701*v**2. Give p(x(t)).\nAnswer: -6804*t**2 - 156492*t - 899829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67.45 + 66.45. Let l = -0.3 + 0.4. Put -3, l, -0.2, f in decreasing order.\nAnswer: l, -0.2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**2*v**2 - 121*t**2 - 12*t*v**3 + t with respect to v.\nAnswer: -2*t**2*v - 36*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-19)\/9)*252\/(-420). Solve -g*w**3 + 2\/3*w**2 + 2\/3*w - 2\/3 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(-3*r - r + 0*r)*(-1 + 4 + 2) to the form m*r + x and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-30)*15\/6. Suppose -8 - 7 = -q*z. Calculate the greatest common factor of z and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1381*i**5\/60 + 399*i**3 - 108*i**2 + 2*i - 1. What is the derivative of v(x) wrt x?\nAnswer: -2762*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139317 is divided by 139307?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 7. Let p be 4\/14*(105\/14 + -4). Let x be 9\/(-11) + p + (-26)\/22. Sort 4, x, j in ascending order.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/((-6)\/(-36))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 divided by 146?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*k**3 - 306355*k**2 + 397876522*k wrt k?\nAnswer: 642*k - 612710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*k = 1017663, -814128 = -4*a - 208*k + 207*k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 1\/5*q**2 - 2\/75*q**5 + 2\/9*q**3 + 1\/30*q**4 + 0*q + 100. Factor m(g).\nAnswer: -2*g*(g - 3)*(g + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*2*6)\/(sqrt(275) + (2*sqrt(275) - sqrt(275))) + -4 + 1)**2*-6.\nAnswer: -3726\/25 + 216*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -285, -289, -309, -351, -421, -525?\n\"Answer: -v**3 - 2*v**2 + 9*v - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 6*h - 32 = -5*v, 0 = 3*h + 5*v - 36 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 17)\/(1*1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:16 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4 = 2*x. Let r be (12\/9)\/(-1*x). Let k = 1.2 - 0.2. Which is the nearest to k? (a) r (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - d**2 + 15*d**3 + 10*d**3 - 10*d**3. Suppose 2*b - 5*o + 18 = 0, -5*b - 3*o = -4*o - 1. What is the units digit of l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*-6 - -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 87. What is the remainder when 1547 is divided by i(-26)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(114) + -3*1*sqrt(114) - sqrt(114) - sqrt(114))*6)\/(-2*sqrt(726) - 1*sqrt(6)*6).\nAnswer: 36*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72654 is divided by 308.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100110 (base 2) to base 13.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 22 = l, -15*l - 10 = -10*l - 5*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -525.663 to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 5*b. Is 3 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(153)\/(sqrt(576)*2 + sqrt(576)) + ((sqrt(85) + 1*sqrt(85))\/sqrt(5))**2*-4.\nAnswer: -277 + sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 79\/(158\/16) - 50\/7. Solve 2\/7*u - 6\/7*u**2 + d - 2\/7*u**3 = 0 for u.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17448 + -6859. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*q + q + 16 = 0, -q - 7 = -4*s. Does 7 divide (-1)\/(123\/42 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 0 - 1) + (-20)\/4. Let b be (f + 5\/4)\/(15\/180). Solve -4*a + b*u = -1, -4*a + 5*u = -a - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - 67*h**2 - 188*h - 122. Let u be t(-1). Suppose -5*b + 56 = 1. Let g = -6 + b. Solve u = g*c + 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*i**2*y**2 - i**2 + 3*y**4 + 32*y wrt y?\nAnswer: 38*i**2 + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/21)*m)\/m**(4\/25))**(2\/9) assuming m is positive.\nAnswer: m**(1832\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4245 - 4153. What is the remainder when 1654 is divided by t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9864852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22220 is divided by 7406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 23*v - 139086 = 0. Suppose 5*k + 4*s = v, 2*s - 4*s = -4*k + 6166. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 9. Let a(d) = -5*d - 2. Let n be a(x). Suppose 3*r = 3*w, -n = -3*w - w - 3*r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2196 - -2.\nAnswer: 0.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/33 + (-53)\/(-3). Let d be 66\/p + (-7)\/(-3) + -2. Solve 2*b = 3*b + d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 12\/481 (b) 0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 139, 135, 119, 85, 27, -61, -185?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*5 + (-7 - -5). Let u be 205\/s + 4\/(-12). Suppose 5*o - u + 568 = 0. What is o rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -25242\nAnswer: -12621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 9, -2 in increasing order.\nAnswer: -5, -3, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-35))\/(3\/(-7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14993684 divided by -14993684.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 4 + 2*o**2 + 6*o + 1. Let y be s(-5). Let x = -1 - -7. Solve -3*l - 4*g + 1 = y, x*g - 5 = 2*l + 3*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 24*a - 294. Suppose -70 = -12*u + a. What is the remainder when 82 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -8, 0.0461, 0.2, 1\/34, -1, 0.4?\nAnswer: 0.0461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 4*u - 12 - 10*u + (3 - 3 - 2)*(-2*u + 3 - 3) as h + x*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w**2 - 2*w - 4 + 4 - 2. Let r be g(-2). Suppose r = 5*d + 2*j, d = -0*d - 4*j + 24. What is the remainder when 34 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 21. What is the smallest common multiple of z and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111537 + 3*m**3 + 111537.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748895 + 791263 = 107*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.278471um?\nAnswer: 0.000000007278471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1640988311\/1342 + -1222793. Find the common denominator of 9\/1586 and p.\nAnswer: 17446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5042016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 6441. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 9:58 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - -201?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 10. Let o(c) = -9*c + 75. Let t(m) = -15*a(m) + 2*o(m). Let d(j) = -j**2 - 513*j. Determine t(d(u)).\nAnswer: 3*u**2 + 1539*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2066*n - 2069*n + 4, 2*n = 5*g + 46 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/180 + d**5\/30 + d**4\/12 + d**3\/9 - 13*d**2. Solve y(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -157. Suppose i - 2*i + 40 = 0. Calculate the greatest common divisor of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -21\/131, 3\/2, -2076?\nAnswer: -21\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11212103 at least -11212102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*p**2 - 27*p**2 + 121*p**2 - 31*p**2 - 28*p**2 + 18*p to d + b*p + g*p**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 - -57 - -45 - (136 + -1 + 1).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y - 8. Is v(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 44*t + 17. Let x(c) = c**2 - 22*c - 9. Determine -11*x(s) - 6*z(s).\nAnswer: s**2 - 22*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 112959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q - 3*q + 5*q + (0*q + 0*q - q)*(-1 - 5 + 4) + q - 5*q + 3*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-383)\/9575 + (-851)\/(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2004, -5 in ascending order.\nAnswer: -5, -3, -2, 2004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4120\/7*b**3 + 50*b**4 - 126 + 6340\/7*b**2 - 8\/7*b**5 - 240*b = 0.\nAnswer: -1\/4, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(5 + (sqrt(1377) - (-2*sqrt(1377) + sqrt(1377))*6)))**2.\nAnswer: 78750*sqrt(17) + 8437250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/4, -0.2, -711, 2\/5 in ascending order.\nAnswer: -711, -0.2, 2\/5, 45\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 11*l - 193. Let t = -427.5 - -428. Put l, t, -5 in ascending order.\nAnswer: -5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k*m*v**2 + 10*k*m*v + 38*k*m - 19*k*v**2 - 2*k*v + 3*v**2 wrt v.\nAnswer: 26*k*m - 38*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z + 10*z + 6*z**2 + 2*z**2.\nAnswer: z*(8*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(-920*c**2 - 164613 - 2*c**3 + 164613).\nAnswer: 2*c**4 + 920*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 + 2*h**3 - h**3)*(1 + 3 - 3) + h**3 + h**3 - 5*h**3 + 64*h + 2 - 115*h - 14*h**3 - h**2 + 61*h as f + y*h**3 + p*h + w*h**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from yaaamymasawtsamam.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 = -3*h, 4*h - 9 = -4*w - 1. Let r be (-4)\/1*1 - (-143)\/33. Let l = 0.3 + -0.2. Which is the smallest value? (a) h (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12344 + -8494. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = 4. Let n(p) = 13*p**3 + 10*p**2 + 6. Let r(j) = 2*j**3 + j**2 + 1. Let h(c) = -n(c) + 7*r(c). What is h(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -1213*r**3\/3 - 291*r - 1035. What is the first derivative of p(x) wrt x?\nAnswer: -2426*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 31*r - 33*r)*(-8*r - r + 6*r - 2).\nAnswer: 171*r**2 + 114*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56818\/19 or -2991?\nAnswer: -56818\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8574701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220 + -124?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76481 + -3?\nAnswer: -76484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19492 by -4.\nAnswer: 4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*7\/210 - (-10)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 5*t + 2. What is the lowest common multiple of 8 and m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:17 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13. Let u(w) = 2*w**2 + 5*w + 5. Let v be u(-2). Let j be (-1)\/v + (-14)\/(-21). Which is the nearest to j? (a) 0.3 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 - 14*j - 11. Let c be w(-9). Let q = c + 73. Suppose d - q = -d. What is the smallest common multiple of d and 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 12.387869.\nAnswer: -24.775738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24513253, 49026486, 73539719, 98052952, 122566185?\nAnswer: 147079418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -41?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00816 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116\/39 - -30\/13. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 88*y**2 + 39*y - 109. Is o(56) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1298500 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29874.\nAnswer: 2, 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 3, x: 1, r: 2, w: 4}. Give prob of sequence vrw.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -19, -71, -175, -349, -611, -979?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*w = 9, 13 = 5*c - w + 4*w. Let v(h) = 2*h**2 + 18*h + 56. Let l be v(-6). Suppose l*y - 17 = 3*y. What is the highest common factor of c and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 6, z: 2, b: 3, y: 1, g: 4}. Give prob of sequence byb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:23 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*c**4 + 24*c**2 + 6 wrt c?\nAnswer: 2952*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 0 + 4*q - 1\/9*q**3 - 2\/15*q**5 - 5\/18*q**4 + 0*q**2. Let p(r) = 0. What is r?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {v: 1, u: 19}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 590*r**3 - 1120*r**2 - 4640*r.\nAnswer: -5*r*(r - 116)*(r - 4)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(463\/31947)\/(1\/6)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*a - 144, -m + 6*m - 620 = 5*a. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5340 = 19*m - 233*m + 36*m. Calculate the remainder when 443 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 29*x - 4 = 0. Suppose -2*s - 12 = 8*c - x*c, 2*c + 16 = 4*s. Let t = 37 + -32. Solve s*n + t*z + 4 = 2*z, -3*n = 2*z + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6397.62 hours?\nAnswer: 23031432000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19*x - 4. Give z(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1253252, -1253243, -1253226, -1253201, -1253168, -1253127, -1253078?\n\"Answer: 4*c**2 - 3*c - 1253253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 654.4 + -873. Let f = j + 218. Are 7 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h + 209. Is q(-33) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 2. Let y be z(6). Let x be 188\/y + 14\/(-70). Let j = 65 + x. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 142 + 128. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5 + 4. Let z be (0\/o)\/(-3) + 2. Find the third derivative of -k**5 - 3*k**2 + k**2 + 0*k**2 + k**z wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e + -3?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2. Let p(m) = 152*m**2 - 290*m**2 + 186*m**2. Calculate j(p(t)).\nAnswer: 4608*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-27*88\/(-198))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - 30*r - 10. What is a(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 483237 and 322158.\nAnswer: 966474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -143*i - 287. Calculate c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 6. Let i be r(5). Let w be 33 - 1*(i + -2). Suppose 5*h - w = 66. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -674 + 959. List the prime factors of n.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10331, 10012, 9689, 9362?\n\"Answer: -2*a**2 - 313*a + 10646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 - 10*h**5 + 2*h**5 + h**5 + 0 + 0 + (2*h - 3*h + 3*h)*(h**4 + h**4 + 0*h**4).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 - 2422065 - h**4 + 15*h**2 + 2422066 + 2*h**3 + 2*h to s*h**2 + o*h**4 + t + g*h**3 + z*h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + -6 + 8 + 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -90063 = -89991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41649 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(700) - (4 + -1 + sqrt(700))) + 3 + -1 + sqrt(700) + -3.\nAnswer: 14 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269 - 49 + 318 - 1010*z - 3*z**2 to the form w*z + t + n*z**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -8. Solve 2*k - u = -1, 2*k - 2*u = -q + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.297267 micrometers?\nAnswer: 0.000000009297267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppbpppppppp. What is prob of picking 3 p and 1 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*g - 44 = 0, 1651*r - 1648*r + 26 = -2*g for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/2 - 6315*u\/2 - 4981746 = 0. Calculate u.\nAnswer: -1052, 3157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejeejeereeeeejee. What is prob of picking 2 e?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(3\/5)\/w))**17\/(w**2\/w)**(2\/113))**26)**(-8) assuming w is positive.\nAnswer: w**(-2794896\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9958 + 16810. Is y a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/((w**(2\/13)*w)\/w*w)*w**(-4)\/w**(-2\/9) assuming w is positive.\nAnswer: w**(-460\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4987327 to the nearest integer?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from {e: 15, r: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 divided by 37?\nAnswer: -667\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(135)\/sqrt(5))\/sqrt(9) + (-5*sqrt(12)\/sqrt(4)*6)**2.\nAnswer: sqrt(3) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -62, -70?\n\"Answer: -8*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 256\/44 - 4\/(-22). Let a be (-3)\/g*-1*4. Suppose -a*i - z - 2*z = -20, 0 = 3*z - 6. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 698115.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722285.\nAnswer: 3, 5, 83, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60, -87, -100, -93, -60, 5?\n\"Answer: w**3 + w**2 - 37*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r - 2. Suppose -4*x - r*p + 310 = -x, 4*x - p - 421 = 0. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -86. Let y be i*((-24)\/(-10))\/(36\/120). What is the highest common factor of y and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 2*a, 10*i + a = 5*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 15 = v + 4*i, -10 = 2*i. Let d(f) be the third derivative of f**5\/60 + f**3\/6 + 2*f**2. What is the units digit of d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 - 155. Let j(b) = 4*b**t + 485 - 485. Let q(g) = 15*g**2 + 11*g**2 + 4*g**2. Determine q(j(a)).\nAnswer: 480*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 + -30 + 33 + -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 1. Determine p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-6) - (-12)\/(-360)*10. Is 60 a factor of ((-254)\/(-5))\/((-6)\/(-210)*a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(2 + -2 - -4). Suppose -110*o - 50 = -112*o. Let q be 2\/12 + o\/(-150) - -40. What is the greatest common factor of q and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 2*a**7\/35 - 5*a**6\/24 + 7*a**5\/30 - a**4\/24 + 111*a**2 + 3. Determine l so that p(l) = 0.\nAnswer: 0, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) -3 (b) 234 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 + 2 = 0. Suppose 5*l = -k + 24, -6*k = -9*k + 12. Put l, a, 10 in descending order.\nAnswer: 10, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9184356 = 4*v - 8*v. Let t = -3836089 + v. Round t to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 38. Calculate the highest common factor of 90 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -37\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 5) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 + 3*a**2 - 3*a. Let r(i) be the second derivative of -i**5\/2 - 7*i**4\/12 + 7*i**3\/6 - 4*i. Determine 3*r(p) + 7*v(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 31 = 2*c - 5, -5*c + 2*i = 44. Let t be (1 + 4\/c)*2. Let m(p) = -p - 2. Let z be m(3). Sort t, -1, z in increasing order.\nAnswer: z, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpf when four letters picked without replacement from {f: 3, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*w - 42, w - 5*w = 5*q - 191. Suppose 0 + 6 = -3*k. Let t be 4\/(-14) - (10\/q)\/k. Which is bigger: t or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -523 (c) -0.3 (d) -1\/7 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47471253 to the power of 1\/2, to the nearest integer?\nAnswer: 6890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.303 - -16.303. Which is the nearest to 0? (a) -26 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/5 - (476\/595 + 2\/(-10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 + (sqrt(153) + sqrt(153) + sqrt(153)*3 + sqrt(153))\/sqrt(9))**2.\nAnswer: 28*sqrt(17) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/5 of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffl when four letters picked without replacement from fffflffl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**3\/5 - 144*j**2 - 3048*j\/5 - 3104\/5 = 0 for j.\nAnswer: -2, 388\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(7\/2)\/(h*h**(1\/42)) assuming h is positive.\nAnswer: h**(52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 1) + (-8 - (-46 - -38)) + 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 229959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 402503, 402475, 402433, 402377, 402307, 402223, 402125?\n\"Answer: -7*x**2 - 7*x + 402517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(4*h - 7*h + 4*h) + 16*h + 19*h + 12*h + 3*h + 16*h + 6*h.\nAnswer: 70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d**3 + 3*d)*(-10707 - 9341 - 4400 - 14688 - 19156 + 1008).\nAnswer: -57284*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -61. Sort 3, i, 4 in descending order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*d = -885*d - 72 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 0 + 0*s**2 + 5\/6*s**4 + 0*s**3 - 4*s. Let z(m) = -2*m. What is z(a(o))?\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 + 12*p**2 - 6*p - 20. Give f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 2*v - v. Let x be d(-2). Calculate the highest common factor of 90 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/630 + j**4\/63 - 25*j**2. Factor z(i).\nAnswer: -2*i*(i - 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1)*24\/216)\/((-1080)\/(-21384))?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-44))\/((-2)\/4)*(-3)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + ((sqrt(192) + 0 + 5 - (-5 + sqrt(192) + -1 + sqrt(192))) + 0)*-2*3)**2.\nAnswer: -65286 + 36288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110122 + 11002220?\nAnswer: 11120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 14*l**2 + 15*l + 3. Let b be n(15). Let r(j) = 6 + 0 - 2*j**2 - b. Calculate r(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**2\/5 - 2709916*b\/5 - 37934904 = 0.\nAnswer: -677409, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90690*f - 550 = -90665*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*a - 217*a - 2*s - 11 = 0, 31 = 3*a - 4*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 3*k + 3. Let m(x) = -4*x**2 + 7*x + 7. Suppose q = -10 + 3. Let c(b) = q*h(b) + 3*m(b). Let o(i) = -1 - 2*i + 1. Give o(c(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-385)\/66) - 836848\/(-5404)\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.00716 - 1.00716. Which is the nearest to n? (a) 0.3 (b) 3 (c) 0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 2 c when four letters picked without replacement from {c: 4, k: 1, v: 4, i: 2, e: 3}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w - 5*w - 2*w + w**2 - 2. Let u be b(2). Let p(j) = j**3 - j + 5. Let n be p(u). Solve -5*h - 12 = 3*d, -n*h + 5*d + 22 - 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*4\/21. Let r = 25\/39 - 4\/13. Let w = 81489 - 81487. Which is the closest to r? (a) w (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-156)\/36 - (5 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/5 and -44\/28685787?\nAnswer: 143428935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/504*4 + 3\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 2. Let k(g) = 3*g**2 - 59. What is r(k(a))?\nAnswer: -27*a**4 + 1062*a**2 - 10441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -299.3 times 0.6?\nAnswer: -179.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -w, -2*u + 5*w - 8 = 0. Suppose -a + 20 = -m, 0 = -5*m + u + 4. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(117))*-4 + (sqrt(117) - 2*(sqrt(117) - (sqrt(117) - (sqrt(117) - -1*sqrt(117))))) + 2)**2.\nAnswer: -588*sqrt(13) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 66857 = -5*w - 13427, -p = 3*w - 32044. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5216554 (base 8) in base 5?\nAnswer: -323240123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 152\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*g*h*n + 24*b**3*g*n**2 + 3*b**3*h - b**2*g*h*n + 2*b**2*n + 4*b*g*n**2 - 2*b - 172*g*h - 165*h*n**2 wrt n?\nAnswer: 48*b**3*g + 8*b*g - 330*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-1 + 1 - s) + (-1 - 1 + 7)*(-3*s + s + s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:39 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/30 + 125\/(-75) + (-2 - -5). Solve -1\/5*i**4 + 1\/5*i**2 + h*i**3 + 0 - 1\/5*i = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 + 2*y - 6. Let i(m) = 0*m**2 - 7*m**3 + 10*m**2 - 10*m**2 - 2*m + 7. Let q = -7 + 2. What is q*i(p) - 6*b(p)?\nAnswer: -p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88336 (base 9) in base 15?\nAnswer: 12566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 8673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 - 10*f + 40*f + 13 + 8*f**2.\nAnswer: 2*(f + 4)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -293.59 and -12.\nAnswer: -305.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -10 in descending order.\nAnswer: -1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (12 + 9 - 24) - 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19162 and 126764?\nAnswer: 1647932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + c)*(-4 + 1 + 4) - 3*c + 3*c + 2*c + 4*c - 5*c - 5*c + 285*c + 65*c + 58*c + (-1 + 4 - 1)*(-3*c - c + 3*c) - 3*c + 4*c - 3*c.\nAnswer: 402*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166329787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 21*r + 24047. What is the ten thousands digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gea when three letters picked without replacement from {x: 3, a: 1, m: 5, v: 8, e: 2, g: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k + 7. Let u be w(0). Suppose -u*p = -25*p. Solve -g = 2 - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**5\/30 + o**2\/2 - 1. Let x(m) be the second derivative of s(m). Let b(k) = -6*k + 2*k + 2*k. Calculate x(b(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -0*y - y - 4*v, -2*y - 5*v = -107. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 1\/6, -6, 2, 4, 0, 12.072?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53295, -54019, -54735, -55443, -56143, -56835, -57519?\nAnswer: -58195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10237?\nAnswer: 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*f - 341*f - 379*f + 185*f + 5.\nAnswer: -1129*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4536847 to 4 dps.\nAnswer: 0.4537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899319?\nAnswer: 3, 29, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 - -183. Suppose -3*k + f = 5*r, 0 = -4*k - r - r + 38. Is 9 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3831, 1, 1.33, -0.5, -2\/7 in descending order.\nAnswer: 1.33, 1, 0, -2\/7, -0.5, -3831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 8913 = -9610 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2185*l - 2174*l + 88 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 14*z**2. Let v(d) = 47*d**2 - 5*d. Let f(w) = -165*w**2 + 18*w. Let p(h) = 5*f(h) + 18*v(h). Determine 7*c(a) - 5*p(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2137.4 - -2141.4. What is the third smallest value in -0.4, 0.07, m, 6, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 + 1227*l**3\/4 + 24687*l**2\/4 - 61572543*l\/4 + 1578180408 = 0. Calculate l.\nAnswer: -224, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1126929 or 5?\nAnswer: 1126929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/180 + r**4\/8 + 4*r**3\/9 - 99*r**2\/2 - 93*r. Let j(y) be the first derivative of s(y). Factor j(u).\nAnswer: (u + 1)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-2) - 6) + -17. Let k be -3*(h\/(-16) + -1). Let l = -23 + 22. What is the nearest to l in 0, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3346 = 5*s + 741. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -10\/3*p**2 + 2\/3*p - 2\/3*p**3 + 10\/3 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 67*q - 19. Is i(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 1, p: 1}. Give prob of picking 2 x and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7779.7 - -7779.700035669. What is m rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 413*g - 37526. What is q(-278)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 + -223.81. Which is the third biggest value? (a) -18 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109047286 is divided by 444.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2873*f + 2*l = 2871*f - 10, 4*f + 5*l = -25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/12 - w**3\/2 + 3*w**2\/2 + 2*w - 59. Let y be (-4 + 2)*(-1 - (2 - 2)). Calculate k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + 2*k = 12, -3*a - 23 = -5*k. Let b be a + 3 + 0 - (-60)\/(-42). Factor -8\/7*j**3 + 0*j**2 + b - 4\/7*j**4 + 8\/7*j.\nAnswer: -4*(j - 1)*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 4. Let a be h(-6). Let k = -36 + 40. Factor 0 + 0 - 2*w**2 - a*w**k - 2*w**3 + 4*w**4 + 2*w.\nAnswer: 2*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 622202 - -16?\nAnswer: 622221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25901 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 17. Let f(p) = p**3 - 8*p**2 - 8*p - 4. Let g be f(q). Suppose g*d + 15 = 105. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (7 + -3)) + 815 + -798\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 18*p - 19*p = 4, -l + 1 = -4*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) + 110\/(-33). Let z = -1 + a. Let k(j) be the second derivative of -j**4\/12 - 2*j**3\/3 + j**2 + 11*j. Calculate k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18325 + -37075. What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1904 + 2717. Let u = i + 244. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57552.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + -2.38. Sort -0.2, 4\/9, i, -0.5.\nAnswer: i, -0.5, -0.2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 155604398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31559 = 5*b + 4*g, 1710 = 2*b - 2*g - 10892. Does 119 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, 1\/485, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5)**(-40)\/(c\/(c*c\/(c*(c\/(c\/(c**(-2)\/c)))\/c)*c)*c*c)**(39\/4) assuming c is positive.\nAnswer: c**(-683\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -46. Suppose p = 6*q - 42. What is the remainder when 132 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*z + 7*k + 35, 3*z - 2*k = -9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -10.5, 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -529720*b**2 + 376975*b?\nAnswer: -1059440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 519648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940189 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 156*q - 4. Let z(f) = -158*f + 6. Calculate -4*u(r) - 3*z(r).\nAnswer: -150*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.7 or -5\/2089?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 13. Let s be -4 + 10\/1 + u. Suppose -21 = -2*l - s*d, -4*l - 3*d + 7*d = 8. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -5*y**2 + 0*y + 0*y**5 + 1\/30*y**6 + 0 + 0*y**3 - 1\/168*y**8 - 1\/12*y**4 + 0*y**7. Suppose u(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-26 - (2 + -32))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 10*x - 35, 3*d + 108 - 256 = -4*x - 119 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.04. Is -215 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3515, -2\/5, -4, 3\/7, -0.2 in ascending order.\nAnswer: -4, -2\/5, -0.2, 3\/7, 3515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + i. Let r be (-2 + 1)\/(1\/(-6)). Find the first derivative of i*g**4 + g**4 + r - 4 wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 4:57 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 4*b + 10. What is the lowest common multiple of d(-4) and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/2167 and -65\/788?\nAnswer: 8668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2040 - -2058. What is the highest common divisor of r and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/8)\/((-3)\/(-6)*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 + -24 - 31\/(-4)) + 54\/24. Solve -n*t - 11 = -k, -9*k = 3*t - 7*k - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 311102 and 3634?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 30 + 75. What is the greatest common factor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -31*i + 10. Let s be z(-5). Let x be s\/(-20) - -3 - -6. Factor -15\/4*y**2 + 21\/4*y - 9\/4 + x*y**3.\nAnswer: 3*(y - 3)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 582 divided by -3\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 - 3 = -f, -2*f + 3*v = -4. Suppose -5*u + 3*d + 111 = -90, f*u - 2*d - 82 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*l - 25, 0 = 6*l - l - 4*o - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*h**2*l**2 + 843*h**2 + 3*h*l**2 + 18*l**2 + 50 wrt l.\nAnswer: -76*h**2*l + 6*h*l + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-427882)\/(-75232))\/(14\/16)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3632 (base 7) to base 14\nAnswer: 6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93914573 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 + 494*b**3 - 40836*b**2 + 1143080*b - 1102736 = 0. Calculate b.\nAnswer: 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 10. Let h be x(9). Let f be h + 1 - (5 + 0 + -4). Sort f, 8, -3 in increasing order.\nAnswer: -3, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5 - 15. Let q = u - -2. Let h be (-22)\/121 - q\/(-44). Which is the nearest to h? (a) 5 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:14 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 70. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**7\/105 - y**6\/30 - 5*y**2 + 2. Let l(v) be the second derivative of r(v). Find c such that l(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572299 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102072.9454 - -102063. Let a = 0.0546 - q. Sort 5\/6, -0.2, a in ascending order.\nAnswer: -0.2, 5\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 42 = 2*u, -12*u = -9*t + 7*t - 2*u + 270 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.325 * 0.1\nAnswer: -0.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -349111\/88 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9380 - -18585. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(168))\/sqrt(7))\/sqrt(12) + (-5*-3*sqrt(2)*-4)**2.\nAnswer: sqrt(2) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(6\/(-54)) - 807. Let f = d + 1385. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181506861 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k*k*k**4)**15)**(-2\/15) assuming k is positive.\nAnswer: k**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/6 + 1)*-2. Let k(g) = g + 1. Let b be k(z). Solve -4*r = -6 - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2*b + 18. Let g be q(3). Suppose 70 = g*r - 2*l, -5*r + 0*l + 95 = l. Solve 0 = -5*o + 2*y - 5*y - 32, -5*y = r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52380?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1446031086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 354 + -e45?\nAnswer: -af1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 26*d**2 - 165*d + 40. Let f be q(-12). Let a be 129\/(-1 + 7\/4). Put -3, f, a in descending order.\nAnswer: a, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**17))\/(u**(-11)*u*u) assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 224*o - 30493. Give q(158).\nAnswer: 4899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 12. Let c(n) = 2*n - 11. Let i = 12 - 5. Let v(d) = i*c(d) + 6*h(d). Let a(k) = -4*k - 101 + 109 + k. What is -5*a(u) - 8*v(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166301269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 98. Suppose -2*k + 5*s = -99, -m*k - 126 = -8*k + 3*s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104393.36 times -1.6\nAnswer: 167029.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgonog. Give prob of picking 2 o and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 8*f + 14. Let i be g(8). Let d = i + 206. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57632 rounded to two decimal places?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*c + 1 + 24*c + 259*c + 181*c - 29*c)*(2*c - 5*c + 4*c) to f*c**2 + d*c + h and give f.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 5*v - 95 + 183 - 45.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3 - (-2 + -11). Suppose d + b = 5*d. Solve -18 = -4*z + 2*s, 5*z + 0*s = d*s + 25 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 55 - (1 + 5 + 7 + -8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -9) + (-8 - 1). Let f = -2.79 + -0.31. Let t = 3 + f. Which is the second biggest value? (a) r (b) 0.31 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*u + 2984 = 0, -u - 1250 = -2*k - 52. Calculate the remainder when k is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.101 * -1.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let k(h) = -9*h**2 + 2*h + 89. Let x(v) = -v**2 - v - 2. Let m(s) = k(s) + 2*x(s). Let g(r) be the first derivative of m(r). Give g(b(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -15, 0.01, 1, 5563 in increasing order.\nAnswer: -15, -0.3, 0.01, 1, 5563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 80*l - 1459058. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 32*o**2 - 18*o - 492. Let p be x(33). Let u(r) = -15*r**3 - r**2 + 1. Let f be u(-1). What is the greatest common divisor of p and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13825076389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from nii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -85.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 32. Let b(z) = z - 7. Let m be b(h). Suppose 0 = m*c - x - 69, 5*c - 3*x - 63 = 2*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -536*q - 3747. Let k be v(-7). Suppose 6 = 2*j, j - 4*j + 3 = -2*s. Solve -s*p + 4 + 5 = 0, -2*w + 3*p - k = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (sqrt(833) + -3)*-2 - -4*sqrt(833)*-2)**2.\nAnswer: -756*sqrt(17) + 67509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z = -4*k - 15, 4*k = 2*z - 6. Suppose -2*i - i - z*i = 0. Let r(l) = 3*l + 73. What is the tens digit of r(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75727087*z**3 + 63128283*z**2 wrt z.\nAnswer: 454362522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128877 is divided by 503.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 - 0.14. Let d = r - -0.3. What is the nearest to 1 in 1\/3, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -488\/69 - -157\/23. Let u = 8100531 - 2235749317\/276. Let j = k + u. What is the common denominator of j and -41\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (70*w**2 - 3075*w + 3075*w)*(4*w + 0*w + 2*w)*(-1 + 2 + 4) in the form u*w + s*w**2 + k*w**3 + t and give k.\nAnswer: 2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*f + 15526 + 1637 = 641 - 6390 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 363633?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(126) + (sqrt(126) - 1*(-1*sqrt(126) + sqrt(126) + sqrt(126))))\/sqrt(7))\/(-1*sqrt(864)*-1*2).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137477878 and 3805616.\nAnswer: 1099823024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3380369085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((3 - 6)\/(-3)). Suppose -3*z + 81 = -g*z. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b + 2*j = -10, j - 5 = 0. Let f(i) = i**2 - 7*i - 3. Let y be f(7). Sort y, b, -11 in ascending order.\nAnswer: -11, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13502109 is divided by 290.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 3:38 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m, -1 = -2*y - 3*m - 0*m. Let u be 2\/(-1)*((-725)\/90 + 8). Which is the nearest to 2? (a) y (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*(-15)\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9902 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 6:30 PM and 3:37 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(513\/(-76)))\/((-180)\/(-216))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -626454 (base 9) in base 8?\nAnswer: -1326703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 438313645.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-27)*p**(11\/3))**36 assuming p is positive.\nAnswer: p**(-804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let x be (-1 - -1)*3*(-9)\/54. Sort 1, f, x in decreasing order.\nAnswer: f, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85180, -167134, -249088, -331042, -412996, -494950?\nAnswer: -576904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 234043*v**3 + 6*v**2 - 6*v. Let x be p(4). Suppose 0 = -2*s - x - 1421176. Round s to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 9:55 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.859717 years in months?\nAnswer: 22.316604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - z = -253 - 394, -2*a + 341 = -3*z. What are the prime factors of a?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -3\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2431*x = 453*x - 974*x - 5904 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2019078, -2018986, -2018896, -2018808?\nAnswer: -2018722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131*c**3*g**2 + 3638*c**3 + 5*c*g**3 wrt g.\nAnswer: -262*c**3*g + 15*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2070886 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-3))\/(-1))\/(3536\/(-408))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/5)*h*h)\/(h**(-5)*h)*h**(-8)*h\/(h**(-2\/15)\/h) assuming h is positive.\nAnswer: h**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 747 + -151. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(sqrt(275) - (2*sqrt(275) + 3) - (5 + sqrt(275) + -1)))**2)*4.\nAnswer: 8960*sqrt(11) + 73524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7895126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 2, -1 in increasing order.\nAnswer: -1, 2, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5270, -10567, -15864?\n\"Answer: -5297*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368824 (base 9) in base 8?\nAnswer: 4717411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21296734 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/(m\/(m**(-1\/7)\/m)))\/(m\/m**(-7)*m**(1\/2)) assuming m is positive.\nAnswer: m**(-1369\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + g**2 - 5*g. Give u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*q = -4*j + 4, -j = q. Solve 4*b + 0 = 3*f + 1, -4*f + 4*b + j = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71.7 + 751.7. Let c = l + -679.99999612. Round c to seven decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:45 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let a(q) be the third derivative of 5\/8*q**4 - 35*q**2 + 0*q**3 + 0 + 0*q. Calculate a(x(n)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57738 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 13*n - 10*n. Suppose 32 = 4*l - n. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 1 - 1)*(85*s**2 + 66*s - 133*s + 69*s).\nAnswer: 170*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -363 >= 260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q + 17. Let c(r) be the third derivative of r**4\/6 + 3*r**3\/2 - 40*r**2 - 3. Determine 11*c(j) - 6*x(j).\nAnswer: -4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-62)\/(-22) + 6\/33. Calculate the remainder when (4 + -1 - i) + 2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 10.1797.\nAnswer: 620.9617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let i(d) = 0*d - d**2 - n - d + 4. Suppose 25 = 2*g + 5*x, -5*g + 4*x = -g + 20. Give i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h**3 + 13*h**2 + 508*h + 9. Let n(p) = 4*p**3 - 4*p**2 - 169*p - 3. Determine -2*c(u) - 7*n(u).\nAnswer: -2*u**3 + 2*u**2 + 167*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11034351\/16 = 689646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 16. Let n(y) = 3*y + 63. Let m(w) = 9*d(w) + 2*n(w). Is m(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12414\/1321 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 4*m - 5*m + m. Let n be -2*(-2)\/4 + 0. Determine j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (1 - (-380)\/65). What is the closest to 1\/3 in i, -1\/5, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Calculate the remainder when 12 is divided by 2\/(d*2\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22668 (b) 3\/7 (c) 0.5 (d) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649353.\nAnswer: 3, 216451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -1162, -2379, -4088, -6295, -9006, -12227, -15964?\nAnswer: -20223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(7\/(-7))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) -1 (b) -2\/7 (c) 11 (d) -0.4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 smaller than -261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let f(t) = 2*t**2 - 6. Let v(x) = -5*x**2 + 13. Let h(m) = -13*f(m) - 6*v(m). Calculate l(h(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 - -168. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2313867\/23 or 100604?\nAnswer: 100604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9168 - 6823. What is the lowest common multiple of 280 and k?\nAnswer: 18760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((1 - 261\/15)\/((-42)\/(-105))).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -493*l**3 - 3*l**2 + 3*l + 3. Let d(z) = -325872*z**3 - 1984*z**2 + 1984*z + 1984. What is 3*d(i) - 1984*k(i)?\nAnswer: 496*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - 11) + 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-233)\/(-11) + -5 + (-2)\/11. Suppose c - b - 5 = -1, 3*b = 5*c - x. What is the second derivative of 19*r**5 + 3*r + c*r + 15*r wrt r?\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/120)*(522\/(-1131))\/((-32)\/(-52))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17551248 divided by -797784.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -67480 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12528391.5us?\nAnswer: 0.00014500453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-6) + (-4)\/(-6). Let v(u) = -u. Let y = -108 + 130. Let x(r) = -25*r - y*r + 48*r. Give m*x(p) - 2*v(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 21*p - 15. Let c(u) = 1852888*u. What is c(d(w))?\nAnswer: 38910648*w - 27793320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - 16\/6. What is the units digit of 1\/(-3)*25*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6361*r = -6460*r - 2574 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:00 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16*-22)\/(((-15)\/10)\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**3 - 2. Let y(z) = -10*z**3 - 3. Let o be 3*(-3)\/27*15. Give o*y(f) + 6*g(f).\nAnswer: -4*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i + 8154 + 127*i + 8152 - 16306 as x + c*i and give c.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -53*c**2. Let j(x) = -25*x + 42. Let p(v) = 28 - 6 + 8*v - 7 - 16 - 11. Let b(h) = -2*j(h) - 7*p(h). Determine b(k(f)).\nAnswer: 318*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/1)\/(7\/14). Suppose b*h + 4 = -d, -2*h - 3*h = 10. Calculate the common denominator of -59\/7 and 375\/5*2\/d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 2 k when four letters picked without replacement from xtttkhsttxkkkhsth?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + s + 2. Let m(c) = 97*c**2 + 2*c + 7. Calculate -5*f(j) + m(j).\nAnswer: 112*j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*-2*(sqrt(1573) + 1 + sqrt(1573))*4)**2.\nAnswer: -38664192 - 270336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*i**4 - 510*i**3 + 68517*i**2?\nAnswer: 1368*i - 3060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 445 - 222 - 4*p**3 + 32*p**2 - 223 wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (18 - 8) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -5*f + 708. Calculate the remainder when 116 is divided by f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 42 = -5*b, 344*b - 350*b = -4*r + 44 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -163*n**2 - 6*n + 9. Let z(k) = 81*k**2 + 2*k - 4. Give -2*q(p) - 5*z(p).\nAnswer: -79*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from nfanz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5903 is divided by 1518.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 146882*p**4 + 68661644*p**3 + 8092532442*p**2 + 15979667480*p + 7955649800 = 0.\nAnswer: -63070\/271, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.106 * -493.\nAnswer: 52.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*d - 981*d + 3*d**2 + 2589*d - 975*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 2)*(d - d + 2*d) + 0 + 0 - d + d - 2*d - d + (-2*d + 0*d + 4*d)*(-4 - 2 + 5))*((-d - 2*d + d)*(0*d + 2*d + d) + 2*d**2 - 2*d**2 - 2*d**2).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0. Let n = 0.1 + w. What is the second smallest value in 2\/5, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6338794)\/1371510 - (-2 - 8\/(-5)). Let m = 1\/2177 - a. What is the common denominator of m and -47\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(4 + (-3 - 0)). Suppose -4*p - p + 25 = a, 5 = -2*m + p. Solve 4*i + n = m, 0*n - 8 = 2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 1485, 3339, 5933, 9267, 13341, 18155?\nAnswer: 23709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -23, -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7975 - 7970. Solve 12 = -5*s + 27, -a*q = -5*s + 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Suppose -3*h + 3*b = -6, h - 6*b = -3*b. Let x = h + -1. Solve 1 = -r*m - 3*q, -3*m - x = -m + 4*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t + 4327732 = 4329028 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -185736 divided by 2\nAnswer: -92868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24202.2 + -24202. Is q at most -404.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0 - 4)*(6*o**3 - o**3 - 3*o**3).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 6*y**4 - 10*y + 17*y - 12*y - 2*y**4 in the form u*y**3 + v*y**4 + g*y + i*y**2 + k and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/5 + 246604*u\/5 - 49320.\nAnswer: -4*(u - 61650)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109859223 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53 - ((-4)\/(-10) - 39\/(-15)). Suppose 10*z - 12*z = -t. Let m be (-892)\/5 + 10\/z. Round m to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 51. Let x(q) = q**3 - 5*q**2 + 4*q. Let c be x(5). Suppose -c = -4*b + 4. What is the highest common factor of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249182 + -156135. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46\/11 + -4. Let x = -19.6 - 6.4. Let q = x - -28. What is the second biggest value in -0.4, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/1921507 and -1\/24556.\nAnswer: 7686028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from qpdndnpqbqnnngqnnnqb?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463321 is divided by 4463315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -3. Let l = r - -1. What is the remainder when ((-14)\/8 - -1)*-32 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 104.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {s: 2, u: 1, y: 1, z: 1, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12422 is divided by 63?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((8\/12)\/(-1))\/(2\/(-18)). Suppose 2*c + l - 5 = 0, c - m*c = 5*l - 15. Solve 10 = c*d - 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 231066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/23204754 and 121\/24.\nAnswer: 92819016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16907731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlw when three letters picked without replacement from hjoowkkhooll.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6107892 and -139\/54.\nAnswer: 54971028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -9) + -3 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, -268 in ascending order.\nAnswer: -268, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3 = 5*u, -4*u + 3 = -3*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - o - 3*o = -8, o = r - 4. Solve 2 = -r*c - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 + 6*t + 4. Let s = 6 + -7. Let h be (-1)\/(-1*s\/(-6)). Let m be x(h). Solve -4*v + 4 = -0*v - 2*i, 4 = -2*v + m*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7937003ml in litres?\nAnswer: 0.0007937003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15265.\nAnswer: 5, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 12*s**2 + 3*s + 15. Suppose 4*p = 4*r - 9*r + 68, -54 = -4*r - 3*p. Does 17 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 183. Let w = -109.4 + s. Which is the nearest to -2\/7? (a) -1\/4 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 152\/7*v + 48\/7 + 10\/7*v**3 + 12*v**2.\nAnswer: 2*(v + 2)*(v + 6)*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let v = 20 - 13. Differentiate -v*m**2 + 14*m**b - 1 + m**2 with respect to m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 51*z - 9. Let v(t) = -t. Give v(k(n)).\nAnswer: -51*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 6, t: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19590.2271 rounded to 0 dps?\nAnswer: -19590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = 3*q - 9, 5*z - 3*q = 9. Let m = -0.9 + 0.5. What is the closest to -1\/3 in -1, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3100*c - 3117*c = -238 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, 3\/109, -8\/9, -3, 2, 2\/13, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i - 158. Let o(z) = z**2 - 16*z + 13. Calculate the remainder when i is divided by o(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f - 213. Let u be t(17). Let z(l) = l**2 - 44*l + 90. Let p be z(u). Solve -m = p*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1499, -2498, -3497, -4496, -5495, -6494?\n\"Answer: -999*o - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/6)\/6*(-2 + -1). Suppose 8*x - 3*o = d*x + 1048, -5*x - 3*o = -1072. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/114 and -97\/78.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.068 - 4.068. Let d = -0.031 + -0.054. Let i = 0.915 - d. What is the nearest to i in 0, -0.06, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Is z*(9 - -2) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 143445 = 8761 + 9524. Is 150 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 7*f**2 + f + 7. Let w be l(5). Let z be (3 - w\/15)\/((-6)\/150). What is the highest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1761 and -22.3?\nAnswer: 1738.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6579*g**2*j + 13931*g**2 + g - 1 wrt j.\nAnswer: -6579*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12729, 12538, 12347, 12156, 11965, 11774?\n\"Answer: -191*m + 12920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 8 + 0*j**2 - 3 - 2*j**2. Let w(d) = -1. Calculate p(x) + 5*w(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 568661773 to the power of 1\/2, to the nearest integer?\nAnswer: 23847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2871)\/(-22)*8\/(-1)*741\/6669?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 5 - (2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*f - 128*f + 256 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 6. Give q(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3291981 and 1914.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 - -11?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -609, -923, -1237?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 5*x**2 - 3*x + 4. Let u be c(-3). Solve -9 = -5*d - i - 4, 0 = d - u*i - 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.93321 and -12?\nAnswer: 11.19852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v + 3. Let w(n) = -n**2 - 4*n - 2. Let g = -40 - -37. Let j(d) = -d**2 - 4*d - 8. Let k be j(g). Calculate k*a(c) - 6*w(c).\nAnswer: c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -25. Which is greater: g or 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 1. Let c(d) = 4*d + 4. Let a(s) = 2*c(s) + 9*f(s). Suppose -83*h = -84*h - 5*t, 2*h = -5*t + 10. Give a(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 116 - 168 + 37 + 19*b. What is y(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 82 + 38. Let d be 279 - 0 - c\/(-8). Suppose -5*m + d = w + 67, 0 = m + 5*w - 37. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(0 - 1\/(-3)). Let r = x + -8. Calculate the common denominator of -37\/10 and r*((-113)\/(-24) + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + 4*(-1 + ((-3 + sqrt(432) - sqrt(432))*-4 - sqrt(432))*-3)))**2 + 2.\nAnswer: -375840*sqrt(3) + 749099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2800) - (sqrt(2800)*2 - sqrt(2800)) - (sqrt(112)\/sqrt(4) + sqrt(28))*-5)\/(4*(sqrt(220)\/sqrt(5))\/sqrt(11)))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1819*v**2 + 320 + 3635*v**2 - 1815*v**2.\nAnswer: v**2 + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80856762557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 28. Solve -5*f - 1 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -573, -1974, -4631, -8946, -15321?\nAnswer: -24158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -54. Suppose 12*v = p*v - 3105. Let l = v - 589. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -319*s**3 + 2*s + 6 wrt s.\nAnswer: -1914*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*h, h + 11 = -5*c + 2*c. Let r = -6 + 5.6. Let d = r - -0.2. Put c, d, 0.3 in decreasing order.\nAnswer: 0.3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/720*-1*1\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96498, -193249, -290254, -387513, -485026?\nAnswer: -582793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {b: 2, z: 1, s: 6, g: 5, e: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 60. Suppose -k = -2*t + 78. Let w = t + -61. Solve -3*u - w = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-16) - 3\/(-8))*-15. Suppose 4*u - 36 = -0*u. Suppose -u*c = -a - 3. Solve 3*o + 8 = -h, c*h + 2*o = 6*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)\/((a*a**(-19))\/a*a)*((a\/a**(-3\/14))\/a)\/(a*a**(1\/22)) assuming a is positive.\nAnswer: a**(629\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4 + 1.4. Let g = 214838508 - 214838512.00000018. Let i = q - g. What is i rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8a - 1?\nAnswer: -a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**2 + 2*r + 10. Let x(j) = 24*j**2 - 3*j - 19. Let q(m) = -7*w(m) - 4*x(m). Let s(v) = v**3 - v**2 + v - 1. Give q(a) + 2*s(a).\nAnswer: 2*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 = 8*v + 110. Does 37 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 3*i**2 + 0*i**2 + (10*i + 2*i + 0*i)*(2 + 3 + 2*i - 4).\nAnswer: 23*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) 2 (c) 1 (d) 1\/13 (e) -3\/29 (f) 0.62 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 50 = -0*n. Suppose 4*d - n = 2*d. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 17408253.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 861.467 + -861. Let r = p + -0.47082. Round r to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 122\nAnswer: -25\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**3 + 3*r**2 - 2. Let m be h(2). Calculate the remainder when -1*m*(-3)\/(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693356, -693352, -693348?\nAnswer: -693344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552411247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 372 - 235. Let f = z + -59. Suppose -f*r = -82*r + 432. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, -5, -1\/2, -0.0292, 0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 228151572236?\nAnswer: -228151572233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2754\/(-1156) + (96\/(-136))\/6.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:11 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-514)\/(-156) + -2. Let j be (5\/15)\/(52\/(-6)). Let p = l - j. Which is the second smallest value? (a) 0 (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/5 + 11728*b\/5 + 17193248\/5 = 0. Calculate b.\nAnswer: -2932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/30 - y**4\/6 - 5*y**3\/6 - 6*y**2 - 22*y. Let p(h) be the first derivative of d(h). What is p(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 75, 53.06, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121733 - 91056297\/748. Calculate the common denominator of c and 83\/4.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17520361 - -2?\nAnswer: -17520357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*a + 31, -2*w + 28 = -4*a - 6. Suppose -2*n - 6 = -k, -w*n + 6*n = 5*k - 19. Let y = -10 + 34. What is the lowest common multiple of k and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = 0, t = -m - 0*m - 2. Suppose 4*h + 2*v - 34 = 0, -3*h = 3*v - 2*v - 28. Suppose -h*w = -5*w. Solve i - 2 + t = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44779*q*r**4 + 7*q + 4292 wrt r?\nAnswer: -179116*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3404 divided by -55.\nAnswer: 3404\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 13 = -3*i - 15*k, 3*i - 542 = -5*k - 505 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 32166*h. Let o(l) = l + 33. Calculate f(o(y)).\nAnswer: 32166*y + 1061478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 + -3 - 4) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = 0, -3*n + 424 = -5*d + 369 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -603180 divided by -180\nAnswer: 3351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 2275 + 2275 + 4*i - 52261*i**3.\nAnswer: -52261*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x**2 + 0*x**2 - 8*x + 2*x**3 - 1 + 12*x. Let g(h) = 3*h**3 + 3*h - 2. Let w(f) = 3*d(f) - 4*g(f). What is the derivative of w(p) wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**6\/660 - l**5\/330 + l**4\/132 + l**3\/33 + 4*l**2 - 1. Let r(d) be the second derivative of x(d). Factor r(p).\nAnswer: -2*(p - 1)*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30 (b) -315 (c) 1248 (d) 0.1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -193. Let m = 54 + -23. What is the remainder when m is divided by n\/(-10) + (-1)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k + 5. Let t be (6\/10)\/((-1)\/k). Suppose p = t*p. Let z(s) = s**2 + s - 1. What is z(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6706 + -80399\/12. Find the common denominator of 11\/18 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4379324239 - 0.06.\nAnswer: -4379324239.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*z = w - 40, -2*z = 2*w - 4. Suppose h + 30 = w*r, -4*r + 13 = -2*h - h. Calculate the remainder when 12 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 259, 260, 261?\n\"Answer: a + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8\/3, -5, -1\/6, 8, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3367002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -0.949?\nAnswer: -0.949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 15. Is 4\/(-6) - 355\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3120, 3115, 3118, 3135, 3172, 3235, 3330?\nAnswer: 3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2522511142 from -2.5.\nAnswer: -2522511144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-6)*336\/392.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*q, -2*q + 0*r + r + 2 = 0. Is 8 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*v**5 + 2*v**3 + 6*v**2 + 5234*v.\nAnswer: -4080*v**3 + 12*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(160)*2)\/sqrt(5).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6643303 micrometers in kilometers?\nAnswer: 0.0000000006643303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 + 3 + 1 + 18*j - 1 - 16*j. Determine n(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f + 25. Give j(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8158 greater than -8157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 4 - 5\/6*h**4 + 0*h + 1\/30*h**5 + 7*h**2 + 1\/168*h**8 + 0*h**6 + 0*h**3 + 3\/35*h**7. Find the third derivative of n(k) wrt k.\nAnswer: 120*k**2 + 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 5, l: 1, b: 3}. What is prob of picking 1 b, 1 m, 1 u, and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 + 1. Give c(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46 and 37196213.\nAnswer: -1711025798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.65 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -15. Let y be 2\/(9\/n - -2). What is the third derivative of 2*q**2 - 2*q**4 - q**2 + 3*q**y wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*z + 2*k, 3*z = z + 3*k - 4. Suppose -q = z*q + 25. Let v = 13 + q. Is 9 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 + (-2)\/(3 + -1) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 + 2*c + 2. Let w be d(2). Suppose 5*q - t = 4*t + 5, 3 = 5*q - 3*t. Let k(j) = 3*j**2 - 2*j**2 + j + 1 + q*j + j**3. Calculate k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 324380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 9*j - 9. Let g(v) = v**3 - 6*v**2 + 5*v - 7. Let c be g(5). What are the prime factors of y(c)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/8)\/((-6)\/5972). Let d = v - -3647. Which is bigger: d or -87?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 3*b - 11. Let k(p) = 12*p - 9. Let w be k(1). What is the remainder when 41 is divided by r(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:08 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 15367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 21, -3, 2\/9, 0.3, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 2*d**3 - 4*d**3 + (2*d**3 - 4*d**3 + 6*d**3)*(0 + 4 - 2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*r + 1, -3*r - 9 = -4*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 41. Let w = 38 - j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2424 - -2419. Let k = -1.3 + 1.333. Sort q, -3, k in decreasing order.\nAnswer: k, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*x**3 - 31*x**2 - 1167 wrt x.\nAnswer: 9*x**2 - 62*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 9 = -61 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 412, 495, 634, 829?\n\"Answer: 28*b**2 - b + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4089 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-372)\/(-195))\/(23\/(1265\/(-22))). What is the closest to -2\/3 in 1\/4, 1\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3561da (base 14) in base 13?\nAnswer: -4ba65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (3 + -2 + -4)) + -590 + 605?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 15 = -2*j. Suppose -3*m**2 + 37 + m**3 - 37 - 2*m**j - 2*m = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127.91 and -6346?\nAnswer: -811716.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/7 or 681?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108032*f**5 + 12*f - 9689 wrt f?\nAnswer: -2160640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1643.192 - 909.304\nAnswer: -2552.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -2\/3*b**3 + 0 + 1\/60*b**5 + 0*b + 1\/12*b**4 + 3*b**2. What is the units digit of a(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-8))\/(3\/(-18)). Which is smaller: 0.3 or p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*l - 5*l - 75 = 0, 4*l = -20. Let p = 61903\/49516 - 2\/12379. What is the common denominator of p and b*6*(-3)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3)*(-2)\/(-4). Let m be (-2 + -1 - -6) + -2. Let j(c) = 3*c**3 - 3*c**2 + 2*c. Let z be j(m). Solve 0*r + 4*r + w = -5*q, -r = z*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608, -1265, -1948, -2657, -3392?\nAnswer: -4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Suppose 0*f = -5*f + 60. Let b be (f\/(-18))\/(1\/(-3)). Let p(m) = -m - b + 2. Calculate j(p(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 times -6?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -35. Suppose 3*m = 0, 4*m = -f*t - 4*t + 332. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -7*r**5\/4 - 45*r**4\/2 - 80*r**3 + 80*r**2 - 71*r. Factor o(t).\nAnswer: -5*(t + 4)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v - 3*z + 10, 4*z + 12 = 0. Suppose -1 - v = -8*u. Let b be 4\/(-6) - 10\/(-6). Calculate the greatest common factor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 37 = -7. Suppose 0 = w*f - f + 2*p - 135, 0 = 5*f - 2*p - 135. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - a**2 - 7*a - 700. Let b(f) = -f**3 - 2*f - 1. What is -3*b(l) + s(l)?\nAnswer: l**3 - l**2 - l - 697","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (27 - 23) + (-1 - (2 + -1 + -2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v. Let w(c) = 41*c**2 - 23*c**2 - 21*c**2. Determine w(i(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195293 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1832 - 23*u + 14*u**2 + 913 + 917 as l*u + x + t*u**2 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - ((-88)\/(-28) - 4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*k + 112, -5*m = 23*k - 22 - 737 - 89 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/3*(26\/6 + -4). Find the second derivative of 7*x**3 - 79*x - 52*x - 40*x - 4*x**5 - 4*x**3 + 2*x**y wrt x.\nAnswer: -80*x**3 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143224864 divided by -22894\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from sxmyn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 20*f**2 - 18*f + 13. Calculate w(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 7, k: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**3 - 7*h**2 + 6*h - 1. Let o(w) = 7*w**3 - 13*w**2 + 11*w - 2. Determine -11*i(r) + 6*o(r).\nAnswer: -2*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339352 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 38.00000007. What is k rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p**(-2\/3)*p))**(-33))**24)**15 assuming p is positive.\nAnswer: p**15840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 5. What is the lowest common multiple of 1 - h\/(6\/(-3)) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3115.97058 rounded to 1 dp?\nAnswer: -3116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1.61 (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:59 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60\/11 - 398\/77. Let g(s) = -7*s - 28. Let t be g(-4). Suppose t*j - 2*x = 3*j + 6, x = 2*j - 3. Which is bigger: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15815 is divided by 5265?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386*t + 0 - 52*t**3 + 17 - 387*t wrt t?\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 3*g**2 - 3*g**2 + 0*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 - 145*z + 538. What is w(-20)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-135)\/10 - 3\/(-2). Let d = j - -4. What is the biggest value in -1, d, 0.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.03 + 0.03. Let w = -0.69 - -0.23. Let c = -0.56 - w. Are k and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.6 times -41\nAnswer: 680.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16.38, -3, 2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, t: 2, g: 1, a: 1, k: 8}. Give prob of picking 1 y and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 6. Let y = g - 6. Solve -3*r = y - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*r - 37 + 134, 426 = 2*r - 86*s + 636 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -7*z - 3. Suppose z*g = l + 16, -g - 5*l + 0 - 2 = 0. Is ((-24)\/(-10))\/(g\/30) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 5) in base 16?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(252))\/sqrt(4) - sqrt(252)*-6*-5.\nAnswer: -168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 - -2. Let d = -0.7 - t. Let q = d - 0.1. Which is the nearest to q? (a) 1\/3 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose -2*n = -16 - h. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1779574 to four decimal places.\nAnswer: -0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 9*n**2 - 16*n + 9. Suppose 46 = -y + 5*y - 2*i, 0 = -4*y + 4*i + 48. Let l be r(y). What is the greatest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 96*f - 161. What is the hundreds digit of y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = a + 21 - 103, -4*g = 4. Suppose 2*y + y - a = 0. Let z be 2\/(-9) + y\/9. Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = p + 12 + 13, -20 = 3*z + p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 10 = -2*u, -5*x + 5*u = -4*x - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**4 - 4*a**3\/3 - 3*a**2 - 4*a + 24. List the prime factors of z(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Let c(d) be the third derivative of 0 + 0*d**3 + 0*d + 1\/24*d**4 - 3*d**2. Give c(r(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -0.08 (b) -2 (c) -1\/131 (d) 22 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152668\/252 + ((-6)\/(-9))\/(-2).\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -5.667238.\nAnswer: -5.367238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + (-1 - -2). Let a be 1\/1 - -9*(2 + -3). Let x be a\/(-2)*(-12)\/(-24)*2. Put v, x, -4, -3 in descending order.\nAnswer: x, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-34))**(-50)*(o**(-2\/35)\/o)**12 assuming o is positive.\nAnswer: o**(59056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-24)*2\/(-1)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 596, 2251, 4976, 8795, 13732, 19811, 27056, 35491?\nAnswer: 45140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -632 - 7?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 != -120\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.92 + -37. Let o = w - -2.08. Which is the closest to o? (a) 0.5 (b) 15 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -8, -606, -1 in descending order.\nAnswer: 3, 1, -1, -8, -606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**3 + 7*m**2 + 5*m**3 + 2 - 9*m + m**2. Let y be v(-9). Suppose -4*b + 5*f = -46, -2*b - y*f + 60 = 2*b. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/15 - 4*v**2 + 7*v. Differentiate q(i) with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/31))**(-1\/38) assuming g is positive.\nAnswer: g**(-1\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*x + 1, 0*g - 2*g = 4*x + 10. Let a(y) = -1 - 5*y - 3 + 0 + 10*y + 1. Let v(n) = 11*n - 7 + 1 + 0. What is g*v(j) + 7*a(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-5) + (57\/(-15) - -4). Suppose 4*m - 2*m = -j*f + 142, -72 = -f - 2*m. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12705 + 3587721*u + 12705.\nAnswer: 3587721*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, c: 13}. Give prob of sequence nn.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 201242577926 less than -8?\nAnswer: -201242577934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(y + y**2 - y) + (-y + 3*y - 4*y)*(0*y - 11*y - 2*y).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 19156390?\nAnswer: 57469170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4*c - 10. Is 6 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-1\/17)*t)*t*t*t\/(t*t**(-5\/4))*(t\/(t\/t**(-3)*t))**(1\/24))**(4\/41) assuming t is positive.\nAnswer: t**(233\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 1\/7 (b) 0.2 (c) 4\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1156295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-80) + (-381)\/264 + 1. What is the nearest to 1\/3 in 4, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09832105 + 12.130927\nAnswer: 12.03260595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 + 5172*l + 46381. What is k(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:59 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*k**2 - 87*g**2*k*o - g**2*o + 20*g*k**2*o + 2*k**2*o - k**2 + 2*o wrt g?\nAnswer: 2*k**2 - 174*k*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*h - 3*h = 48, -j = 4*h - 76. Suppose 616*v = 606*v + 2400. Calculate the highest common factor of v and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcffffmccfmmm. Give prob of picking 1 f and 1 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**5 - v**2 + (-2*v**4 - 3*v**2 + 3*v**2)*(577247 - 577247 + 54591*v).\nAnswer: -109184*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/9)\/((g**(3\/4)*g)\/g)*g**14\/(g**(5\/4)\/g) assuming g is positive.\nAnswer: g**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 213. Let r be 2 - (-2 + 2 + b). Suppose m + r = 4*m. Find the common denominator of 13\/2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1014, 975, 904, 801, 666?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 + (-16280)\/(-200))*1\/(-4)*10.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -20. What is the tens digit of (1 + f)*(-21)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1401082.1 to the nearest ten thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 - 7926*q**2 - 5*q + 52. Let p(k) = 6*k**3 - 7927*k**2 - 4*k + 42. Give -4*l(o) + 5*p(o).\nAnswer: 2*o**3 - 7931*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 + 73)\/(2\/(-1)) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 128*j + 88. Give d(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a - 9103?\nAnswer: -9160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1021, 1011, 1003, 997, 993, 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = 17*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c + 2*p - 8722, -4351 = -2*c + p. Let l(v) = 184*v**3 - 2*v**2 + 4*v - 1. Let i be l(2). Let a = c - i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*o + 3, 2*h = 7*o - 5*o - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016101 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22396a - -c5?\nAnswer: 223a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00096126517 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + 4*1*sqrt(204))\/(sqrt(1452)*-2).\nAnswer: -5*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 34. Calculate the highest common factor of t and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 0.2, 411?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 - -255. What is p in -p**2 + 2 + 24*p**3 - p - 2 + j*p**2 - 25*p**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 275, 1 in descending order.\nAnswer: 275, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*k + 1884704, -2*k = -3*p + 1340867 + 72660. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-95)\/112) - 23 - 202\/30?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(325) + sqrt(325) - (-6*(sqrt(325) + 1))**2) + -2 + (sqrt(325) + 1)*4 + -2)*1.\nAnswer: -11739 - 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 44.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*w**4 + 2*w**2 + 3*w - 10 wrt w?\nAnswer: 324*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41d2 (base 15) to base 4.\nAnswer: 3121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9\/4)*c**7*c)\/(c**6*c\/(c*((c\/(c\/c**(-2\/9)))\/c)\/c)*c))\/(c\/(c*c\/((c\/c**(1\/5)*c)\/c))*c**(-5)*(c**(-2\/7)\/c)**(-4)) assuming c is positive.\nAnswer: c**(-4303\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Let u = 6 + -3. Which is the second smallest value? (a) u (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 + 318.3. Let f = -33 - l. Let g = f - -1.317. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 41*r**3 - 37*r**2 - 2*r - 119. Let c(w) = -20*w**3 + 19*w**2 + w + 54. Calculate -11*c(f) - 5*t(f).\nAnswer: 15*f**3 - 24*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**2 - 470*y**3 + 4255*y - 410*y**3 - 4255*y.\nAnswer: -880*y**3 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14200128 and 142848.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 14.5. Let d = p - 0.4999988. Round d to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 987, 2217, 3939, 6153, 8859?\nAnswer: 12057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -12)\/(-3) - -14. Suppose c = 3*y + 3*b, y - 14 = -0*y - 5*b. Solve 19 - y = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477490?\nAnswer: 2, 5, 13, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24339148 is divided by 594.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**3 - h + 2*h**2 - 3 + 10*h**4 - 19*h**4 + 8*h**4 to f*h**3 + d*h**2 + r + s*h + b*h**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2146445 and 2765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3267*h**4 + 1635*h**4 + 1636*h**4 - 51*h + 57 + 522 - 83 wrt h?\nAnswer: 16*h**3 - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122314 and 3?\nAnswer: 3366942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 22*p\/7 - 52\/7.\nAnswer: 2*(p - 13)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y\/y**18)\/((y*y**5)\/y**0) assuming y is positive.\nAnswer: y**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(51 - 8*f - 51)*((2 + 0 - 1)*(-1 + 3 + 0) + 0 + 1 + 0 + (-3 + 5 + 1)*(0 + 0 - 2) + 1 + 4 + 0).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -15\/231452?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -a + n, -4*a + 11260*n = 11259*n + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 312 = 303. What is the remainder when (b\/(-25) - 4)\/((-2)\/(-20)) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 72*g**2. Let w = -62 - -61. Let x be z(w). Let n = x - 47. Is n at least 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 6 - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 - -1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16067406 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(539) - (sqrt(539) + -3*sqrt(539) + sqrt(539))) - (((sqrt(104)*-4)\/sqrt(8))**2 + -5).\nAnswer: -203 + sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**17)\/k)\/(((k*k*k\/k**(4\/13))\/k)\/k*k) assuming k is positive.\nAnswer: k**(199\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/237 and -23\/18.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 84 = 2*r - g, -3*r - 287 = -4*g. Let d = r + 161. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.358971886 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*3*(1 + 2*sqrt(475) + 4 + sqrt(475) + 1*(0 + sqrt(475) - sqrt(475))*1))**2.\nAnswer: 5400*sqrt(19) + 154800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -43.9. Let x = v + 0.90134. Round x to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100111110010 (base 2) to base 16.\nAnswer: -59f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v + 1. Let u(h) = -h + 11. Let i be u(10). Let q(r) = -8*r**2 - 7*r + 6. Give i*q(z) - 6*g(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*y**2)*(0 - 1 - 1)*(-111 + 111 + 25*y)*(-10*y + 0*y - y) as v*y**2 + o*y + t + p*y**4 + q*y**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(228)*4)\/(sqrt(27)\/(sqrt(9) - (sqrt(9) + sqrt(9) + sqrt(441)))))**2 + -2).\nAnswer: -311288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 20. Let h(p) = -p**2 - 9*p + 2. Let v be h(w). Suppose -3*r = 11 + v. Is r <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*a + 47*a = -43*a - 252. Let m be (-2)\/9 - 14378\/(-63). Calculate the greatest common divisor of a and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 141*z**5\/20 - z**4\/12 - z**3\/3 + 5381*z**2\/2 - 51*z - 7. What is the second derivative of r(f) wrt f?\nAnswer: 846*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(1\/5)))**(-4\/39))**(1\/43) assuming z is positive.\nAnswer: z**(4\/8385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 94 = 4*h - 10*v, 8*h - 31*h + 588 = -2*v for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213\/20 + 77\/5. Let w = -41\/2 + 65\/4. Let d = w + v. What is the third biggest value in d, -1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 21075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(270\/145) + -3. Let 0*l + u*l**2 + 0 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -2\/15, 21, -7, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s + 7. List the prime factors of h(14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 616 = 14. Let m(n) = n**3 - 14*n**2 + 3. Let v be m(c). Solve -v*i + 8*i = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1573 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 + -1)*-19. Suppose -7*o + 5*o + 74 = 0. Let j = 41 - o. Solve 4*x + t - 3 = -5*r, -2*r = -j*x + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-54)\/(0 - -6) - (-13 + -786).\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 2*x)*(0 + 9 - 8 + x + (0 - 1 - 1)*(4 - 4 - x)).\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {u: 1, b: 2, n: 1, s: 1, x: 2, q: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Let m(f) = 33*f**2 - 102 + 8*f**r + 204 - 102. Let c(q) = q. What is m(c(h))?\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2. Let k(h) = 7733010*h. Give k(g(a)).\nAnswer: 15466020*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/444 and -23\/1332?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757*c - 923*c**2 + 458*c**2 + 464*c**2.\nAnswer: -c**2 + 757*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1155138*u**2 - 1496*u + 1590?\nAnswer: 2310276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 20 = 0. Suppose -v*s + 162 = -94. Suppose s = 5*g - 3*g. Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -5 + sqrt(5) + sqrt(25)\/sqrt(5)*-6)*-1 - ((2*sqrt(30) + sqrt(30))*-6)\/(sqrt(72)\/sqrt(48)).\nAnswer: 5 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146.2 + -151.2. Let j = 0.12 - -0.08. What is the third biggest value in -1\/5, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1203.02924 + -1203. What is m rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 51. Suppose 0*w - 36 = x*w. Suppose 4*g + 14 = 3*z, z = g - 3*z - 3. Let h(j) = 5*j**2 + 3*j. Let o(k) = -9*k**2 - 5*k. Give g*h(r) + w*o(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:26 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13485*b**2. Let o(m) = -4*m**2. Give o(p(n)).\nAnswer: -727380900*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bugaz. Give prob of sequence auzg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/7)\/((-116)\/56 + 2). Solve -a = -3*j + 4*g, 3*g + 10 - 11 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013569619 to 7 decimal places.\nAnswer: 0.0001357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33321 + -54?\nAnswer: 33234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707704 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + (sqrt(14) + sqrt(224))*4)\/(sqrt(63)\/(sqrt(27)\/sqrt(3))) + 1 + sqrt(162) + 3 + -5 + sqrt(162) + 1 + sqrt(162))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76271 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - -10 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)\/p**21 assuming p is positive.\nAnswer: p**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(-4*8\/(-80))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 364*y + 4333. Calculate i(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.04 (c) 1.8 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309 and 33?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(16\/6))\/((-3)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.88 - 13.22. Let o = l + 17.1. Which is smaller: o or 2\/127?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 175, 542, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16582020 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g. What is m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15486\/79 - 196. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286029.\nAnswer: 3, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 5, v: 3, c: 1, r: 3, j: 1, l: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 1\/(-1 - 0). Let w(j) = j**3 - 3*j**2 + 3*j - 1. Does 9 divide w(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1128.1 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21564.09 minutes?\nAnswer: 1293845.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 12. List the prime factors of (10\/r)\/(3\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**15)\/w**(-13)*w**(3\/2)*w\/w**18 assuming w is positive.\nAnswer: w**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 51*r - 550. Calculate v(61).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9) - 9\/(81\/(-1047)). Suppose 18*x - 19*x = -o. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -u - 19*u. Factor 0*y + 6\/11*y**3 + 0 + 2\/11*y**2 + 2\/11*y**5 + 6\/11*y**u.\nAnswer: 2*y**2*(y + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5931 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1023 + 1.9177. Let t = q - 2.32. Let l = 1.96 + 0.04. What is the third biggest value in l, 3\/4, t, 14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -9. Let t = y - 9.9999999. What is t rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 - t**2)*(-415*t - 1719*t + 7487*t + 6995*t).\nAnswer: -12348*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 6\/11, 2\/3969?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 52 - 466 = 0. Suppose 0 = -2*i + z + 261, i = 3*z - z + y. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-234)\/(-260))\/((-9)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)\/(sqrt(10)*-2))\/(sqrt(44)\/(sqrt(11) - sqrt(11)*-1)))\/((sqrt(64) - -6*sqrt(64)*1)*-4).\nAnswer: sqrt(3)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(2 - 2 - 2*q) + (2*q - 3*q + 5*q)*(1 + 1 - 3) to the form v*q + z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 43 + 2*u**2 + 19*u - 17 in the form c*u**2 + n*u + j and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 10*a = -10. Let q(v) = 5*v**a - 7*v**2 + 0*v**2. Let w(s) be the first derivative of 3*s**2\/2 - 1. Give w(q(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 82683888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 11 = 4*q. Let d(i) = -i**3 + 15*i**2 + 2*i - 28. Let r be d(q). Determine z so that 7*z**2 + 2 - 9 + 12*z - r - 10*z**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 6*t - 3. Let n be u(6). What is the smallest value in -0.4, -4, 5, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 1, y: 3}. What is prob of picking 1 p, 1 r, and 1 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -1370.18, -2\/5.\nAnswer: -1370.18, -2\/5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4077*p - 5 + 2 - 4078*p. Let d(q) = -3*q - 9. Let b(y) = 2*d(y) - 5*h(y). What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -452.7 and 25?\nAnswer: 477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let z(n) be the second derivative of 0 + 0*n**3 - 5\/24*n**4 - 1\/2*n**2 - 2*n. Let f(o) be the first derivative of z(o). Calculate s(f(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*a + 35, -3*j + 98 = -5*a + 7*a. Calculate the remainder when j is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q**2. Let u(w) be the first derivative of -1\/24*w**4 + 2 + 0*w + 0*w**3 - 7\/2*w**2. Let i(z) be the second derivative of u(z). Determine i(x(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*o = 148*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5238 = -4*b, -1845 - 3395 = -4*b - 4*u. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 - 4*i - 4. Let g(q) = 11*q**2 + 9*q + 9. Give -4*g(t) - 9*y(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t + 15. Sort -2, t, 2 in increasing order.\nAnswer: -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsjgggjdjjgdugg. Give prob of picking 1 u and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.954118 months in decades?\nAnswer: 0.12461765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3588375*i**5 - 12303638*i.\nAnswer: -71767500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) -0.4 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, b: 5, v: 6, a: 1}. What is prob of sequence bua?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1)*b)\/b**17)**(-10))**(1\/14) assuming b is positive.\nAnswer: b**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380014, -379442, -378496, -377176, -375482, -373414, -370972?\nAnswer: -368156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(108))\/sqrt(9) + sqrt(12) + -4*3*sqrt(12))\/(-4*sqrt(54)\/sqrt(9)*-2))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -156a72 (base 11) to base 8\nAnswer: -733513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -2 + -2 + -3 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-36)\/15) + (-162)\/30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4096872\/11 or -372442?\nAnswer: -4096872\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 less than -0.04?\nAnswer: -236.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8492 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113757 - 432*v - 113757.\nAnswer: -432*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 8677926 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + (-135 - -61 - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 4. Suppose 5*b = -4*f + 88, 1 + 4 = b + 5*f. Suppose -h + 3*h - b = 0. Calculate the remainder when x(-7) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308286013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 485, -4, 0, 3 in increasing order.\nAnswer: -5, -4, 0, 1, 3, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*u + 6 = -15, 5*u = -2*r + 3. Let s be 8\/r*(-1)\/8. Suppose -4*j = 2 + 2. Which is the nearest to j? (a) 0.3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + (-1 - -1) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -3*f**5\/5 + 8*f**4 + 11*f**3\/3 - 1403. Determine s so that m(s) = 0.\nAnswer: -1\/3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 6*f - 2*f - 5*f - 184.\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 441 = -5*q + 739, -5*z + 4*q + 1905 = 0. Let y = z + -67. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -841 (b) 246 (c) 1 (d) -2 (e) 1\/3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 353343, 2826551, 9539539, 22612197, 44164415, 76316083, 121187091, 180897329?\n\"Answer: 353315*v**3 + 3*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -243 + -115445?\nAnswer: -120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21034*t + 21034*t - 19*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:02 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -264\/5. Let o = 13 - 9. Let x = -587\/5 + 117. Which is the closest to x? (a) -5 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -136\/15 (b) -0.3093 (c) 2\/9 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*a**3 - 69*a**3 + 49*a**3 - 76*a**3 + 234*a**3 - 64*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 133468747 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 4*l**2 - 3 - l**3 + l + l + 2*l**3. Calculate the lowest common multiple of 5 and i(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + j = -4*j + 17, 3*v + 27 = 3*j. Let s = -13 - v. Is s > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150 + 555 = u. What is the remainder when u is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/6 + 3*t**5\/5 - t**4\/4 - 7*t**3\/3 + 4*t - 1042. Factor m(c).\nAnswer: (c - 1)**2*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - (1 + 1 + -43 + (-40 - -69))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (704\/(-20))\/8 - -4. Let y = -172 + 168. Let i be (-30)\/48 - (-2)\/8. Which is the closest to y? (a) 1\/6 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (0 - (-3 + 1)). Suppose 7*g - 19 - 2 = c. Calculate the remainder when 8 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -97\/171 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 20. Let f be (1 - z\/32)*(-16)\/(-90). What is the second smallest value in f, 5, 0, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -859 - 0.3?\nAnswer: -859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (240\/(-360))\/(-1 + (-10634)\/(-10638)). Suppose 17*g = 5367 + f. Does 35 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27856, 55172, 81430, 106102, 128660, 148576, 165322?\nAnswer: 178370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 7. Let n be k(5). Let f be 4\/3 - (-1)\/(-3). Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2144, 2187, 2230, 2273, 2316?\n\"Answer: 43*o + 2101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-96)*42\/1085*36\/(-27).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/3)*i**(-26\/7))\/(i**(-4))**16 assuming i is positive.\nAnswer: i**(1231\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, t: 11}. What is prob of sequence pttp?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 54. Let f be (-2)\/x*6 + -3 + 29. What is the highest common factor of f and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33744 and 174.\nAnswer: 978576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -10.8. What is the second smallest value in -0.5, -3\/5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 24*u - 1 = 0. Which is greater: 8\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 50*u**3 + 27*u**2 + 10*u + 14. Let k(h) = -25*h**3 - 11*h**2 - 4*h - 6. Calculate -3*j(s) - 7*k(s).\nAnswer: 25*s**3 - 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*q = 89*q - 2306 + 518 - 2604 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.023 (b) -2 (c) -42\/13 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*a + 140*a - 105 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i + 1. Let d(s) = -6*s**2 - 7*s. Let p(n) = d(n) + 4*q(n). Suppose -32*z + 28*z - 12 = 0. Determine p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -73, -154, -267, -412, -589?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-2 - (-5)\/(-2)). Suppose y*a - 19*a = -67. List the prime factors of a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7688 - -26198. What is the first derivative of 34 + 18510*v - a*v + 80*v**3 wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.669 - 0.049. Let m = 0.61999856 - w. Round m to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2097 - 2105.91. Let u = -0.09 + o. Let d = 9.0011 + u. What is d rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164765201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2c24?\nAnswer: -2c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*w + 8, g + 8 = 5*w - 14. Suppose 4*h - 7 = -f, 6 = f - 2*h + w*h. Find l such that -5*l**2 + 7*l**2 + 0*l**f - l**3 - 4*l**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 - 2*a**3 - a**4 + 2*a - 3*a**4 + 2*a**3 to c*a**2 + d*a + m*a**4 + s*a**3 + g and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:58 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 1 + 1)*(-24*q - 13*q + 8*q).\nAnswer: -29*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 8*s - 14. Let f be y(-6). Let p(v) be the first derivative of 58*v + 0*v**2 - f + v**2 - 58*v. Let h(o) = o**2 - 13*o. Give p(h(q)).\nAnswer: 2*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 20*j + 149. Determine u(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 352808055 or 3?\nAnswer: 352808055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-10)\/2)*7. Let d(y) = -2*y**2 + 2*y - 20. Let n be d(s). Let k = 13 - n. Calculate the remainder when k is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*30*(-22)\/44?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 278?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.891 * -3.\nAnswer: -2.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2223 less than -2?\nAnswer: -1.7777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 - 3)*(20*v - 7*v - 8*v).\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by 20.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3 = 3*p - 5*t, 3*t = p - 11. Suppose 12 = a - 2*d, -7 = -4*a - d - 4. Find the first derivative of -10 + 4*k**p - 8*k**a - 3*k**2 wrt k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 30*q. Calculate x(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 679541 and 319784?\nAnswer: 5436328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 3*c**5 + 2*c**5 + (2*c**5 - 2*c**5 + 4*c**5)*(1 + 3 - 5) + 18*c**5 - 3*c**5 + 26*c**5.\nAnswer: 38*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-7 + 3 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -3*q, 2*q = 3*f - 4. Put -5, 3, -2, f in descending order.\nAnswer: f, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -459 or -8739\/19?\nAnswer: -8739\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 315727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309488 and 1472?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1138, 2282, 3414, 4528, 5618, 6678?\n\"Answer: -u**3 + 1151*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 47. Solve 3*m = 4*m - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 2)*-1*-1. Let h = 2 + b. What are the prime factors of 4\/(3\/h*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3 - 1\/16*d**4 + 13*d - 6*d**2 + 9. Let m(z) be the first derivative of q(z). Factor m(a).\nAnswer: -3*(a - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -1, 1 in increasing order.\nAnswer: -10, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 176, 251, 330, 413, 500, 591?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/634 - 1740\/2219. Let b = -2031 + 32451\/16. Find the common denominator of b and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*g - 11 - 15 = 0, 5*b - 48 = -4*g. Suppose 120 = -0*k - b*k. Let f = 7 - k. Calculate the remainder when 43 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18839, -37677, -56515?\n\"Answer: -18838*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7164794 and 6?\nAnswer: 21494382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -337, -0.5, 12, 2, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4223824 >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 255*v - 6300.\nAnswer: 3*(v - 20)*(v + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2159931 by -16.\nAnswer: -2159931\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*h**2 + 22 + 266*h**2 - 22.\nAnswer: -145*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.726 + 0.074. Let h = -184395670.7999873 + 184395649. Let b = i + h. What is b rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 28. Suppose v + h = -4*o, 0*v = -5*v + 4*o + 25. Let g(q) = q. Calculate the remainder when 1 is divided by g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.84 + -1.833. Let s = j - 4.007. What is the nearest to 0.1 in s, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 772 = 2*w, 0*w + d = 2*w - 762. Let t(h) = -621*h**3 + h. Let b be t(-1). Let x = b - w. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/(2\/(-12)*-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63351 - 21419 = -5172*i - 14960 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/3839 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 7. Let f be y(-3). Suppose n + 1 + 2 = 0. Sort f, n, 3.\nAnswer: n, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j**2 - 3*j**3 - 384*j + 193*j + 193*j as h*j**2 + m + s*j**3 + q*j and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*g + 14, 4*h - 2*g + 0 = -4. Let b = 1 - h. Suppose -5*q + b = 3*o - 11, -4*o + 2*q = -58. Solve 2*a - 5*a = -o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244*-0.62.\nAnswer: 151.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - 0*o. Let u be (40\/350)\/(6\/o). Let a = 5\/33 - -2\/11. What is the closest to a in -1, u, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.4. Let m(o) = -3*o - 1. Let r be m(-1). What is the nearest to w in -1, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315456 (base 7) to base 10.\nAnswer: 54774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*i - 68*i - 69*i)*(0 + 0 + 3*i) - 2*i**2 - 3*i**2 + 4*i**2 to n*i + k + s*i**2 and give s.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 41833, 1, 5.\nAnswer: 1, 2, 5, 41833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2991 by -1.\nAnswer: -2991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**11*o**(-4))\/(o**(-1\/9))**(-20) assuming o is positive.\nAnswer: o**(-146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 26.000089. Round s to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191249\/7 + -27402. Which is smaller: -82 or u?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/19)\/(o**(-4)*o))**(-15\/2)*((o*o**(-1\/4))\/o**4)\/(o**5*o**3) assuming o is positive.\nAnswer: o**(-2505\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -314334 (base 5) in base 8?\nAnswer: -24542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138446, 138445, 138444?\n\"Answer: -c + 138447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220434, 441041, 661648?\nAnswer: 882255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/84*19\/(-304).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g)\/(g\/(g\/g**(-3))))**(1\/3) assuming g is positive.\nAnswer: g**(20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (83 - 103) + 60 - (-18 + -1)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41742236 rounded to the nearest one hundred thousand?\nAnswer: -41700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2 + 46\/50)*(-1632 + 1622). What is a in 144\/5 - 48\/5*a + z*a**2 = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 5. Let w(f) = -1. Calculate 2*v(j) + 9*w(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -4\/245*n**7 + 1\/210*n**5 + 0*n**4 + 3\/280*n**6 + 0 - 4*n**2 + 0*n**3 + 0*n + 13\/2352*n**8. Factor v(r).\nAnswer: r**2*(r - 1)**2*(13*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52437087 - 24.44?\nAnswer: -52437111.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 2}. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 568943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -144243240 (base 6) to base 4\nAnswer: -23132033220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let l(r) be the first derivative of 1\/2*r**2 + 12 + 0*r - 1\/3*r**3. Let d(w) = -2*w - 10. Let g(a) = -d(a) - 2*l(a). What is f(g(o))?\nAnswer: 4*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4121 (base 6) to base 11.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2585951.\nAnswer: -2585951, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 148?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -933520.006 + 929121. Let i = x - -4395. Let g = -4 - i. What is g rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*r + 22, 3*x + 2*x + 2*r = 0. Let q = 3 + x. Suppose 5*a - 11 = -q. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*(-1449)\/(-36225)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 7*z - z - 4*z**2 to o*z + q + l*z**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95412.88kg to grams.\nAnswer: 95412880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -27. Let c be 6 + (y - 3) - 2. Solve -3*f - 11 = c*u, 2*f + 3*u - 4 + 13 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-28)\/819)\/((-3)\/(180\/8))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -3*g + 2, -24 = -4*g - 4*s. Solve -b = 5*q + 9, -q = -g*b - 7 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**10\/90 - m**6\/6 - 112*m**3\/3 - 101. Let s(i) be the third derivative of o(i). What is the third derivative of s(l) wrt l?\nAnswer: -6720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:26 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43*-8*((-1800)\/(-160) + -11)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*r - 8, 0 = -5*v - 22 + 27. Let y(u) = u**3 - u**2 + 1. Let t(s) = 12*s**3 - s**2 - s - 1. Determine r*y(n) - t(n).\nAnswer: -13*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 423 and 74.\nAnswer: 31302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238929, 238937, 238957, 238995, 239057, 239149, 239277, 239447?\nAnswer: 239665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/4 + -2)\/(1\/(-1)). Suppose 2*y = l*z + 378, y - 189 = -z - z. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 24*t - 1. Give p(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(4\/5)*d*(d\/(d*d**(4\/9)*d)*d)\/d*d**(2\/5)\/(d\/((d**15*d)\/d)))**(2\/47) assuming d is positive.\nAnswer: d**(1418\/2115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*q + 97*q - 26642 = 22*q. What is the smallest common multiple of 3146 and q?\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*k + 1040, 5*m - 791 = -0*k - 4*k. Suppose -6*y + 2*y + k = 0. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-30)*g)**(-39)\/(g**(-6\/7))**(1\/20) assuming g is positive.\nAnswer: g**(79173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - o + 60. Let y(l) be the first derivative of 2*l**3\/3 - 7*l**2\/2 + 6*l - 1. Does 18 divide y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 4*k + 3*k + 2*k**2. Give n(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 30. Which is smaller: -1\/24 or d?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*-1*(-250)\/32. Let m = w + 78. Let l = -3 + 8. Sort -0.2, m, l in descending order.\nAnswer: l, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h - 9. List the prime factors of v(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*1\/(-2)*-137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 22*t + 42. Determine h(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2096973, -2096965, -2096945, -2096907, -2096845?\nAnswer: -2096753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 30, -6, -5\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37599?\nAnswer: 3, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51568*t - 46223 with respect to t.\nAnswer: -51568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**15)\/f**(3\/14))\/(f*(f\/(f*f**(-1\/5)*f))\/f*f\/(f**2\/f)))**(-1) assuming f is positive.\nAnswer: f**(939\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391318, -783105, -1174892, -1566679, -1958466, -2350253?\nAnswer: -2742040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -84. Which is the nearest to y? (a) -1\/6 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020 - 212?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:02 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10665*i + 4. Let w(s) = -3557*s + 1. What is 7*w(p) - 2*y(p)?\nAnswer: -3569*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -171.\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 + 4.2. Let j = 92\/7 + -374\/21. Sort b, j, 5, 1.\nAnswer: j, b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 4*u**3 + u**3)*(3 - 5 + 3 + (3 + 3 - 4)*(0 + 2 - 1) - 17 + 2 + 118 + 0 - 3 + 2).\nAnswer: 210*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 36 - 1 + 90.\nAnswer: 2*l + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (-2 + 403708\/(-81540)). Let k = -9\/755 - h. Calculate the common denominator of k and 91\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 920 or 950?\nAnswer: 920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -s + 6*h + 71, 2*h = 2. Calculate the highest common factor of s and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13070301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdztjbt. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*w - 17, m - 1841 = -5*w - 1834 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**4)\/t)\/t)\/((t*t*t**(-6)\/t*t)\/t)*((t*(t\/t**(-2))\/t)\/t)**(-50))**(-1\/6) assuming t is positive.\nAnswer: t**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + (-15 - 2) + (-2408)\/(-7) is divided by 181.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -1. Let d(x) = -x**2. Let j(w) = -10*w**2 - 4. Let u(c) = 6*d(c) - j(c). Let s(r) = 11*r**2 + 11. What is l*s(n) + 8*u(n)?\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 33*r - 12 + 35*r + 4 + 38*r - 111*r. Give x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3 - 47943764*j**2 - 95887520*j = 0.\nAnswer: -23971880, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 171*f + 1226. Determine y(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*f - 119*f, 0*l - l - 5*f + 0 = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 150 = -k, 3*k - 8*k + 25 = 0. Let d be 6\/(-21) - (-284)\/14. Let g = c - d. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10282 - -17854?\nAnswer: 28246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 10. Let r = 47 + x. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - 1281\/(-14). Let j = s - -8. What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 829\nAnswer: 29015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -293\/6 + 47. Find the common denominator of 71\/26 and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104668214*d*z**2 + 354870*d + 293 wrt z.\nAnswer: -209336428*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 444581611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -88, -1, -1\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(-1 + (sqrt(98) + 1*sqrt(98) + sqrt(98) + sqrt(98) + sqrt(98) + -4)*-3 + 4)*1*-2)**2.\nAnswer: -112140*sqrt(2) + 801721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0821 * 14.121\nAnswer: -1.1593341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let m(s) = 6*s**2 + s. Let f be m(-1). Let r(b) = 5*b - w*b - f*b. Let t(d) = 2*d. Determine r(t(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1352.7 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/13))**(-10)\/(b*(b**(-1\/6)\/b)\/b*b\/((b\/(((b*b**(2\/45))\/b)\/b*b))\/b)) assuming b is positive.\nAnswer: b**(-757\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22539 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:57 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 14*t + 16 = 0. Calculate the remainder when ((-3)\/(-6))\/((-2)\/(-92)) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4102.65 and 3.\nAnswer: 12307.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 29*r**2 - 3144*r - 86351. Give y(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -397 + 499. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 11*y - 3*y - 160*y**2 - 2*y to the form k*y + i*y**2 + p and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 742.9 - 706. Let g = q - 39. Let d = 2 + g. Are 2\/7 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i - 2497 + 4265 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-80)\/(-504) - (3\/(-21) - -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266170810*s**4 + 911620456*s**2?\nAnswer: 6388099440*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 20, -3*w + 5*z + 35 = 0. Let x = -8 + w. Let p be 9 + (-7)\/(21\/x). Solve 5*v - f = -4*f + 24, 5*v = p*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002111020021120 (base 3) to base 11\nAnswer: -8934877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/4 - 126*x**3 - 12201*x**2\/2 - 67914*x - 871563\/4.\nAnswer: -3*(x + 7)**2*(x + 77)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1590 + 7682. List the prime factors of p.\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394105, -394094, -394083?\nAnswer: -394072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 - 33 = -w + 2*r, -5*r = 10. Suppose w = -t + 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1749368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from aazkaaaaaaaaaaaka.\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.32128*37.\nAnswer: -2379.88736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u + 4 = 0. Suppose 2*f + u*b - 3989098 = 0, -f = -4*f + 3*b + 5983677. Let v = -994554 + f. Round v to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 9, q: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56224 is divided by 18456.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 173, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(119) - 2*2*sqrt(119))\/(-2*sqrt(7)*-5 + sqrt(7)) + -6*(1*sqrt(3264))\/sqrt(3)).\nAnswer: 1593*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 34867780.41 to the nearest one hundred thousand.\nAnswer: 34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 697896 (b) -0.1 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let y be v(-2). Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 28*z - 305. Calculate the smallest common multiple of 214 and z.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23444359, 23444363, 23444369, 23444377, 23444387?\nAnswer: 23444399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 - 55. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 - 3925\/17. Let u be ((-6)\/(-1) - 18) + (8 - 0). What is the second biggest value in g, 4.3, u, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - 11 - (-239 - -235)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 1307*x - 283788. Determine t(-275).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*((((1*sqrt(1584) - sqrt(1584))**2 + sqrt(1584))*-1 - sqrt(1584)) + sqrt(1584) - (1 + sqrt(1584))**2*-6))*3.\nAnswer: 2376*sqrt(11) + 171189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 815 = -105*g + 1447. Solve -11*t + 4 = g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 260*l + 2065.\nAnswer: -5*(l - 59)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-14) - (159\/(-21) - -7). Let k = -1 - -6. Suppose s - 36 = -0*s + c*b, -38 = -s + k*b. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2040 - 15?\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 1. Let w be y(-1). What is the units digit of (-13)\/(-1) - 0 - w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 3*t = n - 20, 10 = -4*t + 2*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 57*v**2 - 7*v + 2. Let w(q) = 58*q**2 - 4*q + 1. What is 3*w(m) - 2*y(m)?\nAnswer: 60*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.0780655 and -0.2?\nAnswer: 6.2156131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 3*l - 2. Let p be t(-2). Let f = p - -26. What is the remainder when 23 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 173*y**2 + y. Let h be u(1). Let k(b) = 2*b - 5. Let p be k(10). What is the units digit of h\/p - (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 73932.8 to the nearest 1000.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 - 2302*u + 6904. Calculate c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(243) + 1))**2 - (-1 + sqrt(243) + 3 + sqrt(147)).\nAnswer: 632*sqrt(3) + 8782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 20, 23, 26?\n\"Answer: 3*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -4754\/1751, -4\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:57 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7631*v**2 + 3*v - 497644 wrt v.\nAnswer: 15262*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49015 divided by 6.\nAnswer: -49015\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:43 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 21*t + 38.\nAnswer: (t + 2)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 960*o + 177545. Determine m(247).\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*z - 73*z - 70*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13*x + 64 = 0. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1482, 2\/41, -2, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 546\/(-6)*120\/60*(-12)\/(-42)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 - v**4 + 3*v**4 + 6*v)*(7*v + 20*v - 8*v).\nAnswer: -38*v**5 + 114*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 + 12*i**4 + 980*i**3 - 13288*i**2 + 28782*i + 118300 = 0. Calculate i.\nAnswer: -25, -2, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114208 divided by 86.\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (10 - 8))*10\/2. Sort 12, -3, -4, f in decreasing order.\nAnswer: 12, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from vwowwowwvwvooovwwyv?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or -281\/3?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 78125032 divided by -5\nAnswer: -78125032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and (1\/2)\/(2\/96)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -37ac7?\nAnswer: 37acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 71. Let k be 7 - (16 + u + -7). Solve 0 = -3*v - 5*d + k, 2*d + 1 - 7 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 at least -2992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4080)\/(-168))\/(1 - (-18)\/(-21)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114583 - -340690\/3. Let d = y - -1007. What is the common denominator of 56\/5 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j**2 + 30*j + 5. Let t(w) = -15*w**2 + 34*w + 4. Let g(i) = 7*o(i) - 6*t(i). What is g(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 3*d + 144 - 85.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 32*o + 15*o - 4*o + 77*o**2 - 43*o. Let n(z) = -16*z**2. Give n(u(c)).\nAnswer: -94864*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20919990 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 404920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*d**3 - 511*d**3 + 256*d**3 - 762*d to the form z*d**2 + m + k*d**3 + s*d and give s.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -15761?\nAnswer: 15755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-21) - 3\/(-21). Suppose -7*p = -i*p. Sort 10, p, 3 in decreasing order.\nAnswer: 10, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 4\/11 (c) 493\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 889293.3ms?\nAnswer: 889293300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 3421?\nAnswer: -4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 8*q**2 - q + 7. Let h be s(8). Let r be 1 - (1\/h + 1). Suppose b = f - r - 4, 4*b = 5*f - 25. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -6*i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x + 22. Let z be d(4). Let p = 186 - z. Does 43 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7926696?\nAnswer: 2, 3, 89, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-455)\/(-2) + (-2)\/(-4). Suppose -4*d + d + v = 0. Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53\/((-2968)\/(-140))*(-1 + (-3983)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 125783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)\/c)\/(c\/(c\/c**(-1\/8)))*(c*c**(-21)*c)\/c*c**(-5) assuming c is positive.\nAnswer: c**(-327\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 2 + (1 + 4 - 4)*(1 - 2 + 3))*(0*d**2 - 3*d**2 + d**2) - d**2 + 2 - 2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/24 and -139\/27372?\nAnswer: 54744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3 - 2\/15. Let t be 1\/(-1) - (-18)\/12. Which is the third smallest value? (a) -0.4 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3174*r**2 + 6*r**3 - 20*r**3 + 5 - 3171*r**2 - 5 - r. Give q(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11313 + 11316. Solve 8*w - 2 = 6*w - 2*q, x*w + 2*q - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:17 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -42*q**2 - 712*q + 37. Give p(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7498*g - 6438 + 6438 to the form a + q*g and give q.\nAnswer: -7498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 82 - 186 + 67 - 3*t + 4*t - 3*t + t - t + 2*t + (0 - 1 + 3)*(2*t + 0 + 0).\nAnswer: 5*t - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1049 and -0.143.\nAnswer: 0.0150007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprrprdrdrkkrpdriudi. Give prob of sequence ri.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-8))\/(16\/12*(-63)\/96). What is the second biggest value in 112\/3, 3\/2, 9, l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1548 - -2207. Is g a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 94*w - 17948. Determine x(-95).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*v + 1659, -4*v + x = -0*v - 1323. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9226?\nAnswer: 2, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 5, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2194 - 965 - 2071 + 5230 + 6*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 1, a: 7, f: 3}. Give prob of picking 1 k and 2 a.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g + 2. Let u(x) = -46*x - 6. Let y(r) = 5*u(r) + 16*z(r). Is 20 a factor of y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = d + 3*w + 2*w, 4*d - 32 = -5*w. Suppose t + d*t = -4*s, 6 = 2*s - t. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - l + 4*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -4 + -11 - -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74537 or 1\/2?\nAnswer: -74537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61961, 123924, 185887?\nAnswer: 247850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/33, -3\/2, -0.04, -0.5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12525797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from ukkxzhhkhhhhhuzhg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.838 + 5.038. Sort a, 4, -2\/3, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/73 (b) -5 (c) -3 (d) -4 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 - ((-69)\/9 - 20\/(-12)). Let b(a) = 0*a**3 - 8*a - 6*a**2 - 2*a**3 + 3 - 5*a**2. List the prime factors of b(v).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-6))\/(-1)*(-1)\/14. What is the nearest to z in 15, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 45*u + 508. Calculate the smallest common multiple of 132 and w(-54).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4942 - 0.3942. Let s = -0.04 - 0.56. Suppose 6*h = 5*h - 4. Which is the nearest to -1? (a) d (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5343928 or -2?\nAnswer: 0.5343928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 82373, 164633, 246867, 329075?\n\"Answer: -13*b**2 + 82299*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 10*p + 4. Let r be t(-10). Let f = -276047\/43182 + 9\/2399. Calculate the common denominator of 3 + r\/(144\/(-238)) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 0*w + 2*w + (-7*w - 27*w - w)*(3 + 1 - 2) + w - w + 2*w to the form z + m*w and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3310374 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17016*h - 16999*h + 5*u - 634 = 0, -4*h - 2*u + 150 = 0 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 1636 + 339 - 548 as r + p*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 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 p be (-2)\/23 + (-6924)\/(-276) + -4. What is the highest common divisor of p and 5040?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -908, -1179, -1916, -3353, -5724, -9263, -14204, -20781?\n\"Answer: -39*x**3 + x**2 - x - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbci when four letters picked without replacement from {b: 4, f: 1, i: 3, n: 1, j: 1, c: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*g = 8526. List the prime factors of g\/56*(-16)\/(-6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 13*l**2 + 10*l + 27. Let w be s(12). Solve 2*h = y + w*h + 2, -3*y = h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12730179 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2534618, 20276952, 68434726, 162215660, 316827474, 547477888, 869374622?\nAnswer: 1297725396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*z = c - 94, c - 5*z - 126 = 0. Let f be (c\/6 + 0)*(-2 - -29). Suppose -3*d + 0*d = -f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11276 - -a3?\nAnswer: 11349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 3*l, -2 + 4 = 2*m + l. Solve h = -m - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343981?\nAnswer: 11, 31271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-35184)\/30)\/8*-5 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298299200 to the power of 1\/2, to the nearest integer?\nAnswer: 17271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/240 - 155*u**4\/4 - 144150*u**3 - 2*u**2 + 519*u + 2. Find d such that h(d) = 0.\nAnswer: -1860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66932.\nAnswer: 2, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - -1) + -2 + 0\/6. Let q(w) = -2*w**2 - 2*w - 1. Let r be q(-1). Let b = -2 - r. Sort b, i, -3 in descending order.\nAnswer: i, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4568 divided by 1142\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1)\/(1 - (-57)\/(-48)). Calculate the common denominator of ((-186)\/p)\/((-46)\/8) and -101\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10131?\nAnswer: 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/14 and -93\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(5\/9))*s*s)\/s**(-1\/5)*s**(-5\/3)\/(s**(-2\/67)\/s*s) assuming s is positive.\nAnswer: s**(6388\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 923*n**2 - 1868*n**3 + 1452*n**2 + 1554*n**3 - 148*n**2 wrt n?\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5366931 and 5397?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29034956 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1788567\/27 + (-8)\/36. Suppose -44*p + t - 5039 = 0. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777\/21*(39 + -2) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 320628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-483)\/21 + 22)*(-9*1)\/(-1). Sort o, -4, -1, 0, 4.\nAnswer: o, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 106. Let w(m) = 2*m - 172. Let g(z) = 3*a(z) - 2*w(z). Let d(j) = -5. Let u be 4\/(-6)*(-33)\/(-2). Determine u*d(o) - 2*g(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62093235 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 61 = 70. Suppose p*g + 3 = -5*d, 4*g - 16*d + 11*d - 31 = 0. What is the remainder when (-22)\/((-3)\/((-3)\/(-2))) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365176 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose 2*p + i = -5. What are the prime factors of 4 - 2 - 1 - p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1806, -3594, -5386, -7182?\n\"Answer: -2*f**2 - 1782*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*j**3 - 230*j**3 + 110*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 15. Let r(g) = -30*g**2 - 6. Determine r(m(l)).\nAnswer: -30*l**2 + 900*l - 6756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5 - 1 + m - 3. Let h be ((-66)\/(-10))\/((-11)\/(-55)). Let o = -35 + h. What is d(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 163.3. Put 0.1, 7, -0.08, s in descending order.\nAnswer: 7, s, 0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1323*z + 26470. Determine g(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3, -5*q + 5 = 4*u + u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/(n*(n*(n\/n**(1\/18))\/n)\/n*n))\/(n\/(n\/n**(-6))*n**35) assuming n is positive.\nAnswer: n**(-280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 10*h**2 + 6*h - 9. Let g be z(-9). Let x be ((-3)\/g)\/(2\/(-3)). Which is the nearest to x? (a) -0.3 (b) -3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1468)\/(-26) + (-42)\/91)*(-3)\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/19))**(-11\/7)*(c**(-2\/19))**(19\/3) assuming c is positive.\nAnswer: c**(-299\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -41. Calculate the remainder when 91 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 4*m + 14)*(12*m - 3 - 7*m - m).\nAnswer: 16*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*f**2*s**2 - 9*f**2*s - 8*f**2 + s**2 wrt s.\nAnswer: -178*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 - 5*l**3\/6 - 29*l**2\/2 - 35*l. Let s be j(8). Let k be (-2)\/(2\/s) + -3 + 1. Solve -k*i + 9 = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 18 = -3*n - 5*q, 5*n - q = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*g = -132, 6*i - 2*i = 4*g - 84. Let h = 3 - i. Let d be (-6)\/h + (-168)\/(-27). Let v(b) = b**3 - 7*b**2 + 8*b - 8. What is v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 6*b**2 + 6*b + 15. Give n(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d**2. Let c(l) = -8. Let v(a) = a - 33. Let x(t) = 9*c(t) - 2*v(t). Let w be x(-4). Let r be q(w). Let i(h) = -h**3 + h**2 - 7. Give i(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -271023.\nAnswer: -8\/271023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4968 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2003253401 - -5?\nAnswer: -2003253352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-40))\/(3\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, -1\/4, 2\/31?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -16 + 1\/4*d**4 + 1\/3*d**3 - 7\/2*d**2 - 1\/20*d**5 + 8*d. Give s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 410*u + 80. Let o(s) = -818*s - 161. Let y(h) = -3*o(h) - 7*v(h). What is the first derivative of y(b) wrt b?\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1600037 divided by -2.\nAnswer: 1600037\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12261, 24540, 36819, 49098, 61377, 73656?\nAnswer: 85935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*v = -24, 2*b + 2*b = -3*v - 63. Let x = 34 + b. Is 16 a factor of (-478)\/(-8) + 4\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16.1. Let c = -0.44 + 2.54. Let h = y - c. Put 5, 0.5, h in descending order.\nAnswer: 5, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**7)\/(i*i\/(i\/(i\/(i**3\/i)))*i))\/(i**(2\/5)*i)**(-10))**47 assuming i is positive.\nAnswer: i**987","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -20*g**2 + 8*g**2 + 9*g**2. Let f(k) = -36*k**2 - 2. Calculate q(f(y)).\nAnswer: -3888*y**4 - 432*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1504 + -1503.88. Which is smaller: 140 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 71*k**2 + 614*k + 8127. Determine d(58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-120)*-3*8\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 114. Which is the closest to 2? (a) x (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1935.569 + 35.469. Round y to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**3\/9 + 16*i**2\/3 - 28*i\/3 - 50. Solve c(q) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5862.482 millennia?\nAnswer: 5862482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 113683413 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-112)\/60 - -2). Let a = q + -28. Solve 4*o + y + 7 = a, 4*y - 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1498820\/31 <= -48349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94314.37ml to litres.\nAnswer: 94.31437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 94*r - 6. Give n(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 + w - w)*(1 - 3 + 1) + 13*w**2 - 5*w**2 + 15*w**2 + 7 to the form q*w**2 + s + g*w and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27146428921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10452064?\nAnswer: 2, 7, 29, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Suppose 3*g - 3*c + 483 = -0*c, 0 = -4*c. Let j = g + 161. What is s(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13755757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 + 44*x + 6. Let l be w(9). Which is the nearest to -1? (a) 0.1 (b) l (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2607178000 to the nearest one million.\nAnswer: 2607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39574 divided by -4?\nAnswer: 19787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244 (base 6) in base 9?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Suppose 0 = n + x*n + 12. Which is the third biggest value? (a) n (b) 1\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 0.7, 12796?\nAnswer: 12796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s - 2*n + 7, 0 = -2*s - 5*n - 5. What is the highest common divisor of 15 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 3*w + 5. Let r be d(-4). Solve 0*c - r = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -34. Let h = 14 + -9. Suppose 0 = 4*w + h*o - 155, -4*w + 143 = 2*o - o. Calculate the remainder when w is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4374\/(-108))\/81)\/((-1)\/48).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1074 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37524 - -59141. What are the prime factors of m?\nAnswer: 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 50*z + 134. Calculate the remainder when m(11) is divided by 229.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6 + 13 - 8 + 5*w**2 - 15*w**2. Suppose 8 - 20 = 2*c. Let s be (-1 - -3) + c\/2. What is z(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3024 divided by -4\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-14*(-102)\/5831.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, n: 1, c: 4, g: 2, a: 1}. Give prob of sequence zg.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8895 + -0.03952.\nAnswer: 7.84998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -15\/739?\nAnswer: -15\/739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1830824\nAnswer: 7\/1830824","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s - 2*s)*(-2 - 1 - 1).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 166, 162, 162, 172, 198, 246, 322?\n\"Answer: s**3 - 4*s**2 + s + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3 + 9, -42 = 4*w + 5*k. Let h be w + 24 + 1 + -6 + 1. Sort 5, 3, 1, h in increasing order.\nAnswer: 1, 3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.6 - -15.1. Round w to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 2*j**2 + 2*j + 3*j**2 - 6*j**2.\nAnswer: -9*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 5*c + 14*c. Calculate the smallest common multiple of (95\/c + (0 - 3))*15 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1358470236 and -0.343388?\nAnswer: 0.2075409764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}