diff --git "a/data/dm_maths/full_data_1/1426_11255.jsonl" "b/data/dm_maths/full_data_1/1426_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1426_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate -12 + 4 + (2 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 32252104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 5*m**2 - 23. Let v be y(7). Let x = v + 123. Calculate the remainder when x is divided by 10\/8 + (-2)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 3\/(-2))*-2. Let s = -2 - -2. Let a = 1 + s. What is the third biggest value in a, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuuf when four letters picked without replacement from {u: 9, f: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let b(x) be the first derivative of 53*x**3\/3 - 38. Determine b(a(t)).\nAnswer: 212*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 8.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76424.9999907178 - -76425. Round d to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 80 = 4*u, u - 5*a - 22 = -2. Suppose -15*p - u = -20*p. Solve 5*o - 1 = p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Let q = 0.03 + f. Let m = q - 1.03. Which is greater: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172024 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*u - 8 = 17, 8 = 4*u for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 71, 1, 3.\nAnswer: 0, 1, 3, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*n - 4, -x - 8 = 4*n - 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2 - 2*a**2 - 2*a - 13*a**2 + a. Let b be d(-2). Let l be ((-4)\/b)\/(6\/10). Which is smaller: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 10 = 31 + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = t - w, -5 = -5*t - 5*w - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + sqrt(500)*-2 - -5*(sqrt(500) + -1)**2 - (sqrt(500) + -3 + sqrt(500)*2 - ((0 + sqrt(500) + -5)**2 + sqrt(500)))).\nAnswer: -240*sqrt(5) + 3033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-2 + -2)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346567609?\nAnswer: 157, 2207437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 116 = -9*r - r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74427937.\nAnswer: 433, 171889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3485*f - 211. Let q(a) = -11*a - 7. Give q(x(s)).\nAnswer: 38335*s + 2314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 20*i - 23. Let g be z(-19). What is the tens digit of (-9 - (-13 - g)) + 84 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b**3 + b**2 - 2*b + 1. What is y(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z + 3*z - z - 4*z. Let n(g) = -20*g + 17. Let w(i) = 7*i - 6. Let s(k) = 6*n(k) + 17*w(k). Determine l(s(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 14 = -2*f + 2*q, 5*q + 25 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934012 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/5, 1\/7, 274?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 divided by 90?\nAnswer: 169\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-3 - 30\/(-9)). Let m(i) = 35 + 4*i**g - 5*i**2 - 34 + 5*i. Let a(x) = 2*x - 1. Let s be a(3). Determine m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566.883813 + 566.86. Round z to four dps.\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*t + 28, 2*t + 0 = -8. What is the third derivative of -7*c**6 - 5*c**2 + 5*c**6 - 7*c**p - 5*c**2 wrt c?\nAnswer: -1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (32\/192)\/(4\/94) and 107\/1164.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110460 is divided by 36820.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.79 + 1.21. What is the smallest value in g, 2, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2*z - 19. Let f be p(-6). Solve -v + 5*k + 18 = 0, 4*k + f - 2 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 5\/2*o**2 - 1\/3*o**3 + 9*o - 1. Let i be (-14)\/5*65\/(-26). Determine d(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -1, -2, -314, 10 in decreasing order.\nAnswer: 93, 10, -1, -2, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 - t + 5. Let n be x(8). Put n, 5, -5, 4 in ascending order.\nAnswer: -5, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15 - 269*d + 295*d + 10 wrt d.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 50 (c) -7011 (d) -0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*d - 110*d**2 + 183*d**2 + 432*d + 235*d - 904*d**2 wrt d.\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a millennium in years?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ibbibiibbi?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/4 (b) -858 (c) 12 (d) -1051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence navn when four letters picked without replacement from nnnvvnvvvvavvvnvv?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 19, 8, 2\/17, -109\/5 in ascending order.\nAnswer: -109\/5, 2\/17, 0.5, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 88 - ((-14)\/10 + (-21)\/35). Let n = 74 - z. What are the prime factors of ((-56)\/n)\/(0 + (-2)\/(-16))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -2*v - 5*d, d + 3 = 0. Let q = 0.1213 + -0.0213. Which is the nearest to q? (a) v (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*m - 252*m + 103*m + 10*m in the form a*m + q and give a.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.057?\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i*i*i*(i*i**(-2\/7))\/i*i)\/(i**(1\/3)*i)**9*((i*i*i*i\/i**1)**(-47))**(13\/2) assuming i is positive.\nAnswer: i**(-12961\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3087*x + 627*x + 1385*x - 3065*x in the form h*x + u and give h.\nAnswer: -4140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 32*b - 27. Let g(h) = -3*h**3 - h**2 - h - 4. Let c be g(-3). Let r = -66 + c. What is the units digit of n(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 2. Let t be w(3). Suppose 10*y + 24 = t*y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35852 + -34442. What is the highest common factor of v and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(128)*-2 - sqrt(2)))\/(sqrt(72)\/sqrt(2)*-2).\nAnswer: sqrt(3)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = z - 2*p, 4*p - 6 = -5*z. Let i(f) = -22*f. Let u(d) = 21*d - 1. Let t(n) = -4*i(n) - 3*u(n). Is t(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 25*x**2 + 0*x - 96*x**2.\nAnswer: -71*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46444127579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39812960, 159251794, 358316518, 637007132, 995323636, 1433266030, 1950834314?\n\"Answer: 39812945*h**2 - h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -b47 (base 15) to base 12\nAnswer: -157a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 171, 284, 397, 510?\n\"Answer: 113*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19339090 rounded to the nearest ten thousand?\nAnswer: -19340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -5*h + 4*d + 231, d - 110 = -h. Let v = 1 - -1. Suppose v*w - 2*b - 36 = 0, 4*w - b = b + 66. What is the greatest common factor of h and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (13 - 1)*(-12)\/(-8) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuuuouuuuusohuou. Give prob of sequence uu.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 3*x)*(x**3 + x**3 - 4*x**3)*(-3 - 2 + 8)*(-1 - 1 + 0).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 25)\/(243 - 238). Solve 8*j + 15 = y*j, -j = -4*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:02 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13635, 28486, 44549, 61818, 80287?\nAnswer: 99950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-2) - (-3 - -4). Suppose d = 5*k - 34, -d = d + l. Is (-12)\/(-18) + 4070\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1113*x + 2082*x + 244*x + (-2 + 2 - 1)*(-3*x + 2*x + 0*x) in the form a*x + v and give a.\nAnswer: 3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db90 + -1?\nAnswer: -db91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/1 - 1\/(-3). Let y(p) = p + 2. Let d be y(2). Which is the second smallest value? (a) d (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(119) - 3*sqrt(119)*-2)\/(sqrt(56)\/sqrt(2)).\nAnswer: -21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f + 9. Let v = 4 + 3. Let t be y(v). Solve -2 - t = h, -2*o - 4*h - 26 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*f + 98*f + 246*f)*(-2 - 1 + 4 - 4 + 4 + 1 + (-3 + 5 - 1)*(0 + 2 + 0) - 1 + 1 - 2 + 0 + 3 - 2 - 5 + 2 + 0 + 4 - 4 - 1).\nAnswer: -253*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*x + 88*x + 148*x**2 - 4*x**3 + 528 - 133*x - 52*x - 82*x = 0.\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435.3 - -435.2. Let l be (2\/15)\/(2\/3). Sort l, -1, j, 2\/5 in decreasing order.\nAnswer: 2\/5, l, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15481245 and 3.\nAnswer: -46443735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(7\/3))\/(f\/f**1*f))\/(f**(-3)*f\/f**8) assuming f is positive.\nAnswer: f**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:25 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21657.18 years in centuries?\nAnswer: 216.5718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5444971*o**5 - o + 120335 wrt o?\nAnswer: 108899420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2806 and ((-2162)\/(-92))\/(-2 - 5 - 1)?\nAnswer: 22448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201112201022120 - -12?\nAnswer: -201112201022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) -0.2 (c) -0.4 (d) -1\/18 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9599 - -9597. Let q = 1.3 - 1. Let f be 2\/(-14)*(1 + 0). Sort f, q, n in decreasing order.\nAnswer: q, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*r**4 - 17*r - 4*r + 22*r**4 wrt r?\nAnswer: 1296*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10314 (base 12) to base 7.\nAnswer: -115522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + f - 12, 3*f = -39*t + 42*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682388986.\nAnswer: 2, 97, 1571, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000086574 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - 6*d**2 - 2*d**2)*(-2*d**2 - 3*d**2 - 16*d**2) + 8*d**4 + 114*d**4 - 39*d**4 + 73*d**4 to n*d**3 + q + f*d + s*d**2 + t*d**4 and give t.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 163011, 163027, 163053, 163089, 163135?\n\"Answer: 5*y**2 + y + 163005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -16 - (-5 + 14 - -17).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 60 = -46. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(-3*sqrt(40))*3)**2 + ((1*(sqrt(51) + 1*sqrt(51)) + sqrt(51))\/(sqrt(60)\/sqrt(5) + sqrt(3) - sqrt(3)))**2.\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3322 (base 5) in base 9?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lelvlwweemzlwzvm. What is prob of sequence vzv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 16*l**2 + 56788760*l - 56788758*l.\nAnswer: 13*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 35*u + 13. Suppose 67 = 15*b - 53. What is the tens digit of a(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103159\/22 - 4687. Let u = -6001\/4 - -1488. Calculate the common denominator of k and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69171.96 milligrams?\nAnswer: 69171960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p + 31. Let o(x) = -6*x + 15. Let z(s) = 7*o(s) - 3*w(s). Suppose -20 - 10 = 6*r. Is z(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911344, -911337, -911326, -911311, -911292, -911269, -911242?\nAnswer: -911211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -686\/143 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*t - 448 = 200*t + 120*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9194*t*z**3 - 336*t*z**2 - 25368597*t wrt z?\nAnswer: 27582*t*z**2 - 672*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7559*d**3 - 4798*d**3 - 58943*d**3.\nAnswer: -71300*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 57 + 41 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 377*x + 14. Let p(a) = 251*a + 9. Let h(s) = 5*o(s) - 8*p(s). Is h(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**3 + 25213*l**2 + 75444*l - 100672 = 0.\nAnswer: -25168\/15, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2266 + 3877. List the prime factors of k.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -775*q**2. Let b(n) = -4*n**2 + 2*n + 3. Let m(z) = 44*z**2 - 20*z - 30. Let g(s) = -10*b(s) - m(s). Determine a(g(f)).\nAnswer: -12400*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**5)**(-18))**(-21) assuming g is positive.\nAnswer: g**2646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11144 + 266 = 14*a. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 12952*n**2 - 12 + 12960*n**2 - 25913*n**2. What is x(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/98646 and 35\/1430768.\nAnswer: 175984464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -63, -1, 1\/7, -426 in decreasing order.\nAnswer: 1\/7, -1, -2, -63, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -2*r**4\/3 + r. Let x(h) be the first derivative of -h**3\/3 + 449. Calculate x(i(q)).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200943 divided by 269.\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -5.95 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*y**3\/5 + 132*y**2 + 384*y\/5 + 64\/5 = 0. Calculate y.\nAnswer: -2, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5\/387 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*o**3 + 8*o - 21*o**3 - 8*o + 317*o**3 + 301*o**3.\nAnswer: 556*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/(x*x**(3\/4)*x))\/x)\/x**(-3\/8))\/(x*x\/(x*x\/x**(3\/17))*x*x**(-22)) assuming x is positive.\nAnswer: x**(2781\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 23*c = -149 - 2059 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -21, -0.5, 16 in descending order.\nAnswer: 16, 1\/5, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 135 + 220 = 0. Suppose -3 - 31 = -z*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*v - 1247 = -61, 0 = 5*t + 4*v - 2988. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -2. Let u(x) = -4*x**2 - 18*x + 9. Let c(s) = 7*s**2 + 36*s - 18. Let p(y) = l*u(y) - 3*c(y). Let d be p(-18). Solve 6 + d = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0211123 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200564 is divided by 2817.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 - 41112*t + 2614784 = 0.\nAnswer: 64, 10214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416370.1g in kilograms?\nAnswer: 416.3701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 310913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 215*l**5 - 98*l wrt l?\nAnswer: 4300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 1 + 20 = k, -5*k - 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172 + -169. Differentiate u - 39 - 68*j**2 + 11 wrt j.\nAnswer: -136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 384 - 368. Solve -4 = 4*j + o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, a: 1, o: 1, q: 1, f: 2}. Give prob of sequence auz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3184, 3178, 3172, 3166?\nAnswer: 3160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 10*p**3 - p + p - 5*p**2 + 2*p to the form v + j*p + a*p**2 + h*p**3 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*a + 4, -16 = k - 0*a - 5*a. Suppose 128 = k*d - 0*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.003 - -0.086. Let k = 4.211 + r. What is k rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Let g be (12\/r)\/((-18)\/(-120)). Suppose -3*f = -4*n + g, -2*n = -2*f - 8 + 2. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 2*r**2 + 2*r**2)*(5 - 2 + 0) + 136*r**2 + 1369*r**2 - 48*r**2 to the form s + o*r**2 + c*r and give o.\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111101111010000101000 (base 2) in base 15?\nAnswer: 1172e49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.2. Let s(j) = -j**2 + 7*j - 5. Let b be s(4). Let v = 4 - b. Which is bigger: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 218 - 176 + 234 + 46*c + 296 + 74. Calculate b(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.2 - 36. Let j be ((210\/(-49))\/(-6))\/((-4)\/(-14)). Let p = -31\/10 + j. Which is the third biggest value? (a) d (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16))\/((-12 - 21)\/11)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6091*n*q**2 - n*q + 2*n - 39371*q wrt q.\nAnswer: -12182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 8:54 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 10. Calculate the lowest common multiple of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/16 + 3614\/208. Suppose 0 = -a*l + 13*l + 112. What is the least common multiple of 40 and l?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -24 + 16 + n + 10. Let b be y(-6). What are the prime factors of ((-11)\/b)\/(2\/16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2016 and -9187.\nAnswer: 18520992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152.05 + 148. Let n = 0.05 + l. What is the closest to -2\/5 in -3, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-2)\/(-8)). What are the prime factors of (-8)\/((-40)\/55) + 4\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9*z = 2*b - 27686, -4*b + 55369 = -5*z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3914 - 2323 = 0. Let i(s) = 2*s + k*s**3 - 890*s**3 + 10*s + 13*s**2. What is i(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5645434384301.14120071 - -5645660907275.4412. Let n = 226522986.9 - s. Let d = -12.6 + n. Round d to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*m - 19. Let o be (-44)\/30 + (-4)\/m. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1960, -2170, -2380, -2590, -2800?\nAnswer: -3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16155 or -16151?\nAnswer: -16155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88876 and 5228?\nAnswer: 88876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, 463, 0 in decreasing order.\nAnswer: 463, 11, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.766 - 0.134. Let j = -0.22 - -1.32. Let z = j + r. Sort -1, z, 9.\nAnswer: -1, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 732 + -731. Which is the closest to 17? (a) 2\/15 (b) -3 (c) p (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let a(o) = -o**2 - 2*o - 1. Let g(p) = -889*p**2 - 6*p - 3. Let s(j) = 3*a(j) - g(j). Calculate l(s(n)).\nAnswer: -886*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5936 and 79\/4440.\nAnswer: 3294480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 + 20\/35. Suppose g = m + 9*m - 220. Calculate the lowest common multiple of m and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 2\/51, 6?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 - b + 11. Let u be c(9). Solve -3*s = -f - 20, -u*f + 15 = s - 4*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 108754*p - 34407*p.\nAnswer: 74347*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 + 20*i + 48 = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, a: 7, m: 1, i: 6}. Give prob of sequence am.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 17*x**2 - 5*x + 113. Give f(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 287 + (0 - 1) - 0. Let x = u + -573. Is 21 a factor of 2\/4 - x\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**7\/21 - 2*g**6\/15 + g**5\/5 + 2*g**4\/3 - g**3\/3 - 2*g**2 - 3*g. Find o such that w(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -37, -5 in decreasing order.\nAnswer: 5, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1504 and 1692.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14*z + 15*z + 0 + 1 + 18*z.\nAnswer: 19*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*y = 47*y + 54*y + 1064. Calculate the highest common divisor of 8854 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, 8, 23, 38?\n\"Answer: 15*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 150 = 0. What is the highest common divisor of 45 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {c: 2, g: 4, i: 2, p: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 7. Let g be m(-5). Suppose -4*q = -5*q. Suppose -3*n + 5*n = q. Which is the closest to g? (a) n (b) 2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 5 = -4*t + 15*i, -2 = -t - 4*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -59\/23, -4, -2\/13, 13732, -2?\nAnswer: -59\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1758 divided by -293\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 44*a**2 - 10*a + 10. Let c be r(1). Solve -14*x = 16 - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 at most 3154\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 8. Let b be r(6). Let c be b\/(-9) + (-68)\/(-18). Suppose -c*n = 35 - 167. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 48 = 4*x. Let f = x - 10. Solve 0 = -b + f - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17453, 35249, 53047, 70847, 88649, 106453?\n\"Answer: p**2 + 17793*p - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 - 50*r + 28 + 19 as p*r + k and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:36 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(4032) + 4 + (sqrt(4032) - (-1 + sqrt(4032))) - (-1 + sqrt(4032))*5) + -1)*6)**2*2.\nAnswer: -126720*sqrt(7) + 4650914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6, 0.3, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(3 - (-16)\/(-8)). Let v be ((-7)\/(-21))\/((-2)\/k). Put -2, v, -5, -10 in decreasing order.\nAnswer: v, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 3. Let y be n(3). Suppose 0 = -y*v - 12, u + 16 = 2*u - 5*v. Let z(j) = j**2 - 4*j**2 + 7*j**2 + j**3 + 4. Determine z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (1 + 2 + 3 + -6*(sqrt(3) + sqrt(3)*-1)*6)**2).\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16163 times 16\nAnswer: -258608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o = -u + 33*o - 48, -7*u - 80 = -5*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 472 - 69 - 253 - 75 - 75.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 21. Suppose -4*z - 3*a + 44 = 0, 2*z - v - 3 = -2*a. Calculate the remainder when 13 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440467 (base 8) in base 9?\nAnswer: 244625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.799 + -2.739. Let y = 4.17 + -0.17. What is the third biggest value in -0.5, t, 2, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1206 + -891. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*t - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42153 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 25 = -0*r - 4*r, -33 = 5*r + 2*y + 6*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5349.8 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-6)*13*1566\/(-16965)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - r**3 - 4*r**2 - 24*r**2 - 266305*r + 266278*r as w*r + y + c*r**3 + m*r**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 2.56?\nAnswer: -66.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, k: 7}. What is prob of picking 1 u and 1 k?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 7*p**3 + 28)*(1 + 3 + 11).\nAnswer: -105*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m = -3. Suppose 2*w = 4*w - 10. Suppose 0 = z + m, w*z + 853 = 4*t + 272. 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 least common multiple of 13 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-51)*(-48)\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1250 and 0.5.\nAnswer: -1249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17531, -70092, -157683, -280304, -437955?\n\"Answer: -17515*b**2 - 16*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*b = 15, 3*a = a - 4*b - 12. Let c be 2\/(2 + 30\/(-16)). Suppose -8 = -3*v - m, c = v - a*m - 3*m. Solve 3 - 11 = v*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2212 - 20?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a, -5*c + 4*a - a = -19168. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-2\/3)*o)*o*o**16*o)\/(o**(3\/2)*o\/o**(1\/3)))**(-20) assuming o is positive.\nAnswer: o**(-310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54568.\nAnswer: 2, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125684082 to the power of 1\/2, to the nearest integer?\nAnswer: 33551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = c - 705, -5*f = 4*c - 1424 - 1375. Suppose -c = 9*x - 21*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -64*l**3 - 11*l**2 - 11*l - 41. List the prime factors of o(-5).\nAnswer: 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 162 = 142, -j = 5*s - 20. Solve 0*q + s*u = 3*q + 12, 3*q + 6 = -3*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41931531029610*o**2 - 262108032*o + 2048\/5.\nAnswer: 2*(10238595*o - 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, e: 2, q: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -2, -55, 91, -4, 2, 1.\nAnswer: -55, -4, -2, 1, 2, 60, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12187230*s**3 + 2*s**2 + 134*s + 3360 wrt s.\nAnswer: 73123380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/20 and -95\/178?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 plus 429307918?\nAnswer: 429307912.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(180) + -2)*4 - (-5 + (sqrt(180) - (sqrt(180) + (sqrt(180) + 0)*-5)) + sqrt(180) + sqrt(180)))**2*4 + 2.\nAnswer: 6482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*v - 0*v + 10, 4*m - 11 = -5*v. Suppose -2*r + 8 = 2*a, 0*a - 4*r + 13 = v*a. Solve 2*b - a*p + 13 = 3, 3*p = 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12011110302 + 22?\nAnswer: -12011110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 111. Let a = 0.5 - -0.5. What is the smallest value in a, q, -1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/40 - (-12)\/15)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 964 and 33499?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/880 and -39\/22.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1454696*x**5 + 27*x**2 - 2527 wrt x.\nAnswer: -87281760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 271*t + 0*t**2 + 1 - 272*t + 825*t - 270*t. Calculate u(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**3*a))*a)\/(a**(1\/10)\/a))**22 assuming a is positive.\nAnswer: a**(649\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3657 or -3444?\nAnswer: -3444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -44. Let m(j) = -j**3 - 11*j**2 - 24*j + 3. Let l be m(-3). Suppose l*h - 349 = -t, h + 280 = t - b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66636 (base 12) to base 10.\nAnswer: 135690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:25 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2122351 weeks in nanoseconds?\nAnswer: 128359788480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 1, 6, 23, 58?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h)**(-37)*(h**(-4\/3)*h*h)\/(h\/(h\/(h*h*((h\/h**(-2\/11))\/h)\/h*h))) assuming h is positive.\nAnswer: h**(2392\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 equal to -313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-10) - 61\/(-18) and -46\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 43. Suppose 4*o + 2*o - i = 0. Calculate the highest common divisor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 90, 211, 442, 819, 1378, 2155?\nAnswer: 3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 4. Let l be j(-3). Let n be 3\/2*(0 - -2). Suppose 0 = -u + n*m - 4*m + 5, 24 = l*u + 4*m. Solve -q + u*v = -0*q - 4, 3*v = -4*q - 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 19. Suppose 3*c = 5*n - 64, -3*n + n = -c - 23. Let h = k - c. Which is smaller: 11\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 213340 = -4*o - k, 5*o - 2*k = 266633. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73689 and -1291674?\nAnswer: 1365363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291426.\nAnswer: 2, 645713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 1, -0.06?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 2, q: 1, x: 2, w: 2, v: 12}. What is prob of picking 1 o, 1 q, and 1 p?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 10, -769 = -5*n + 5*v + 81. Suppose 3*a + 2*f = 83, a - 60*f = -58*f + 17. What is the highest common factor of n and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 2. Let k be q(0). Let m be (-18)\/(-2)*(-40)\/6. Let s be (5\/m)\/(1\/k). Is s at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9 = -29. Is 2812 + 2\/(x\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let q = 7 + t. Suppose 5*k + 4*o - 40 = 3*o, 0 = 2*k - 4*o + 6. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {u: 17, i: 2}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 8:38 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228)*2*-6)\/sqrt(12) + 1.\nAnswer: -11*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1943407*m**3 - 4*m**2 - 13*m + 267593 wrt m?\nAnswer: -11660442*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67\/(52997\/(-226))*(-1974)\/(-18)*3\/(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from fxuuxuuxxxxuxxuuju?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 20*s - 5*w + 10009, 5*s = -2*w + 24949. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 2\/5*k**5 + 0*k**4 + 2*k + 0*k**2 - 1\/3*k**3 + 0. What is the second derivative of c(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 1, -2, -23171, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1555 and -16484788.\nAnswer: -16486343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.17, 0, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30784.986678 + 30785. Round q to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/77 and 13\/4061079?\nAnswer: 28427553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Suppose -5 - 4 = 2*w - 5*l, 0 = -2*w - 2*l + 12. What is g(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(3 + -5)*1\/6. Let s be u + (-15)\/20 - (1 + 2). What is the closest to s in -0.4, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554480 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:55 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33251 - -4?\nAnswer: -33243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - r + 1. Let t(o) = 5*o**3 - 4*o**2 + 4*o - 2. Let v(z) = 4*z**3 - 5*z**2 + 5*z - 2. Let u(b) = 3*t(b) - 2*v(b). What is -u(i) - 2*w(i)?\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3278 + 3280. What is the highest common factor of t and 2822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 4, 0.103, -75, -41?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, -0.2, 1\/6 in ascending order.\nAnswer: -2, -0.3, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*r = 5*r, -r = -l - 2. Let j = -38 + 115\/3. Is l bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256994054 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*z = -19, 5*q - 2*z - 1 = 22. Suppose 3*g + 4 = -4*h, -2*g + 0 - 12 = q*h. Is (-141)\/(-11) + h\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*111\/((-111)\/(-44))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8775522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrll when four letters picked without replacement from vlqnrrxxxnnl?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 15*i - 0*i + 140 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3882*q**3 - 10*q**2 - 9*q + 2. Let s be o(-1). What is the greatest common divisor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*f + 7355, 3*d + 2*f + 3*f = 4421. Let n be (-4)\/(-6) - 990608\/(-672). Let h = d - n. Calculate the common denominator of -59\/20 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734562 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -3\/7, -0.2, 1, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807187514?\nAnswer: 2, 251, 5592007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-1.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:35 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.37 and -3.71?\nAnswer: 1.3727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 3 - (2 + -4). Factor 0*l + p + 2\/7*l**2.\nAnswer: 2*l**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/15 + 26\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -1\/20*m**5 - 7\/6*m**3 - 7\/12*m**4 + 0 - 3*m - 3\/2*m**2. Determine b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -40 (c) -12 (d) 0.052 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 + 677. What is the highest common factor of s and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49444, 46071, 42698?\n\"Answer: -3373*r + 52817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 3. Let p be t(2). Let o be (p - -2)\/((-118)\/24 + 5). Let c be 21*(4\/10)\/(o\/(-10)). Let j(m) = -m**3 - 6*m**2 + 7*m - 10. Give j(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4205*t**2 - 515910*t + 15824205.\nAnswer: 5*(29*t - 1779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 75654.1214 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-8))\/((-56)\/(-560)*-15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - 50 + 1. Let n(h) = 2*h**2 + 3*h + 2. What is the remainder when n(-2) is divided by (-2)\/z + (-84)\/(-49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 5*s**2 - 3*s**2 + 1 - 6*s**2 - s**3 - 4*s**2 - 6*s**3 in the form a*s**3 + i*s + j*s**2 + r and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssstnnestnnoeensn. Give prob of picking 2 e.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-468)\/(-50))\/((-96628)\/(-245) - 395).\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*t - 128, 0*p - 4 = -p. Suppose 26*i - t*i = -22. Solve -2*r - 3 = -i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 + 71*t**2 - 42*t - 80. Give b(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22271 + 22271.046. What is the nearest to -1 in y, 6, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 12:03 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f*f**(-2\/17)*(f**(-1\/3)*f)**(6\/29))\/(f**(-1\/9)\/(f\/((f\/f**(-1))\/f*f))*(f**1)**(1\/65)) assuming f is positive.\nAnswer: f**(898673\/288405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4 + 144*p**3 + 1716*p**2 + 6776*p = 0.\nAnswer: -14, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1059 and 721856054.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 5 + (1 + 3 - 1)*(0 + 1 + 0))*(-13316*y**2 + 12*y**3 + 13316*y**2) to the form n*y**3 + x*y**2 + q*y + c and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 284*i - 59013. Calculate n(183).\nAnswer: -7041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 6, w: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79106558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**4 - g - 4*g**2 - 9*g**4 - 5*g**4 - 6*g**4 - 1 to the form y*g**3 + x + t*g**2 + f*g**4 + m*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 4056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -59.24. Round c to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 4. Let o(l) = 8*l + 1. Let v be o(-1). Calculate f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141529, 283097, 424665?\n\"Answer: 141568*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 40331?\nAnswer: 40322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 75. Let g(o) be the third derivative of 0*o**4 + 1\/60*o**5 + 0 + 0*o + 0*o**3 + 37*o**2. Calculate c(g(s)).\nAnswer: 2*s**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65.5 - 163.8. Let u = t - -98. What is the closest to 1 in u, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1452 = 4*c - 13*c + 31*c for c.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a + 79*a + 210 - 243.\nAnswer: 130*a - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.246797515 to three dps.\nAnswer: -0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47215731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171814465 or 171814463?\nAnswer: 171814465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -403, 2 in decreasing order.\nAnswer: 3, 2, 0, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvgtpigv. What is prob of picking 1 t, 2 v, and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 875*o - 6118. Let n be q(7). Let v(x) = -9*x**2 - 2*x - 13. Let r(p) = 13*p**2 + 3*p + 20. Determine n*v(m) + 5*r(m).\nAnswer: 2*m**2 + m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3 - 9. Solve n*t - 8*t + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1121454 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.3. Let w = -261 + 256. Let m be ((-8)\/5)\/((-1)\/5) + w. What is the biggest value in -3.1, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, -3, -1.1 in increasing order.\nAnswer: -3, -1.9, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-140873074 - -2)*7\/(-2). Let y = k + -941736463187\/1910. Let o = -36\/191 - y. What is the common denominator of -97\/18 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1225311, 2450623, 3675935, 4901247, 6126559, 7351871?\nAnswer: 8577183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -338874190 times -2\nAnswer: 677748380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867079?\nAnswer: 3, 955693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**3 + m**2 - m. Let g be i(1). Let j be (-4)\/24 + g\/(-6). Solve -7 - j = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479322 divided by 2\nAnswer: 239661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -170 (b) 28 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5859488*n**2 + 14662281*n?\nAnswer: 11718976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73637278932 and -95?\nAnswer: 73637278837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juj when three letters picked without replacement from {j: 2, u: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 533 + 169 = 0. Let t = x - -87. Let n = -4 - -9. Solve h + n*i - t = -22, -5*h + 5*i = 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(152)*-3 - sqrt(152)))\/sqrt(8) + (sqrt(76) + (sqrt(76) + sqrt(76)*-3*6 - sqrt(76)) + sqrt(76))\/sqrt(4))**2 + 2.\nAnswer: 10946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -2*r - 0*r. Suppose a + 4*a - 104 = -f, -4*f = -16. What is the remainder when r is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 + 16 + 1)*1\/8. What is the nearest to -6 in 0, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/11, 5, -36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -m - 5*h + 6*h, 5*h = 4*m - 428. Suppose 2*f = -5*y + m, -4*y - f - 2*f = -76. Solve -2*n + y = 4*z, -z - 4*n + 29 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x + 29 - 29)*(6 - 17*x - 6).\nAnswer: 187*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-3 + -3)) + 66 + -75?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30712 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -90 and 0.7717.\nAnswer: -89.2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + n + 4*n + 77, -2*x + 83 = n. Let h(j) = -18*j - 4. Let o be h(-4). Let i = o - 61. What is the remainder when x is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + z + z - 40)*(3*z**3 - 2*z**3 + 0*z**3).\nAnswer: 2*z**4 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 513 + -315. Let z be ((-2)\/d)\/(4\/(-6)). Let a = z + -137\/330. What is the closest to a in 5, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q. Let o(k) = 1282*k - 1051. Let c(j) = 4*h(j) - o(j). Find the first derivative of c(p) wrt p.\nAnswer: -1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/103088531 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - (5 + -1 - 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 42004*s - 168027. Determine f(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692563 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 18324 = -9*x. Let h be ((-2)\/(-4))\/(3\/x). Suppose -220 = -9*a + h. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727 (base 12) to base 13.\nAnswer: 61c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/296 (b) 0.4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*q = -373*q + 672 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11206 + 11206 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/21)*v**(3\/4))\/(v**(-2\/7)\/v)**(-2\/3))**(-1\/14) assuming v is positive.\nAnswer: v**(1\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(85) - ((sqrt(85) - sqrt(85)*1) + sqrt(85) - sqrt(85)))*6)\/(-2*-2*sqrt(5)*-1).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**5 + 32*k**4 + 100*k wrt k.\nAnswer: -20*k**3 + 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -81. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 52*c - 703. Calculate h(-15).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a - 14 = 2*t + 92*a, -a = -6*t - 63 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2480 and 1054324880?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 6\/(-3)) + -1 + -4. Sort -4, h, -5, -2 in ascending order.\nAnswer: -5, -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/243 (b) -4\/19 (c) 8 (d) -2\/5 (e) -4 (f) 5\/4 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194*((-12)\/4)\/((-36)\/1284).\nAnswer: 2, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -97 (b) 3 (c) -1 (d) -95.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*s**4 - 45*s**4 + s + 122*s**4 + (-1 + 2*s + 1)*(2*s**3 - 3*s + 3*s) to the form l + m*s + u*s**3 + n*s**2 + y*s**4 and give y.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -3*l**2\/2 + 4*l + 1. Let x = -225 + 222. Give k(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 228 (b) -3.229 (c) 7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**3 - 92*m**2 - 7*m + 88. Let c(u) = -9*u**3 + 91*u**2 + 9*u - 86. Let h(p) = 4*c(p) + 5*s(p). Let h(b) = 0. What is b?\nAnswer: -96, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 253363535, 253363536, 253363537, 253363538, 253363539?\n\"Answer: d + 253363534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6686 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-6)\/(-2385)). Suppose 9*c - n = 4*c - 4*z, 3*c - z - 142 = 0. Suppose 4*a + 9 = c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -2 - 0 - 1476\/(-30). Suppose 2*l - 16*l = -742. Is g < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 9. Suppose 4*v + 25 - q = 0. Let a(p) = p**3 + 6*p**2 - 4*p + p**2 - 4*p**2. Give a(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203\/116*(-10)\/(-21)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 + 7*q - 2. Let z(i) = 16 + 16*i**2 + i**2 - 2*i**3 - 11*i + i**3 - 6*i. Let x be z(16). Suppose o - 12*o - 55 = x. Give y(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*u**2 + 0*u**2 + 3*u**2 + 2*u**2 + (-3 + 3 - u)*(5*u + u - 5*u) in the form y*u + n + h*u**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**6*w)\/w)\/w)\/w)\/(w**(2\/5)*w))**40*((w**0*w)**(-8\/7))**44 assuming w is positive.\nAnswer: w**(656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -50, -79, -112, -149?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 4*k + 2. Let q be y(-4). Let i(o) = 2*o + 4*o + 7*o**2 + 3*o**3 - q*o**3 - 1. Let n be i(-6). Which is smaller: -1\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 764, 765, 766, 767, 768?\n\"Answer: r + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let n = -249 - -53. Let k be (-8)\/126 - 7\/(n\/8). Which is the closest to d? (a) 2\/5 (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 11*m - 17. Let h be s(-7). Suppose 3*i + 223 = h*u, -4*u + 144 = i - 59. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03336 - 5\nAnswer: -4.96664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v**(-6\/5))\/(v\/(v*v**(-2\/7)*v)*v**(4\/5)\/v))**8 assuming v is positive.\nAnswer: v**(-464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 45850*q + 1.\nAnswer: 45850*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**3 + 980*p**2 - 945*p - 5850 = 0?\nAnswer: -2, 3, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 4*w + 64*w**2.\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 0*h**3 + 13\/3*h**6 + 33 + 29\/2*h**2 + 0*h**5 + 0*h**4 + 0*h. What is the second derivative of m(t) wrt t?\nAnswer: 520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + a - 22 = -a, -5*v - 26 = -a. Let f be 3*(-8)\/(-12) + 5 + 2. Let m = v + f. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101110 (base 2) in base 5?\nAnswer: -4442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11\/l*l**(1\/35))**23 assuming l is positive.\nAnswer: l**(8073\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 68*g - 202560 = 2*g. What are the prime factors of g?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262629079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18404.\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 73.71. Let a = j - 0.09. Sort a, 4, 1 in ascending order.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:51 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {c: 4, j: 1, n: 1, q: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.784 + -10.684. What is the smallest value in l, 0.006, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-6) + (-289)\/(-102). Solve -4\/3*k**u - 28\/3 + 32\/3*k = 0 for k.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220368 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/6 - 4*a**4\/3 + 10*a**3\/3 - 8*a**2\/3.\nAnswer: a**2*(a - 4)*(a - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 789563 rounded to the nearest one hundred?\nAnswer: 789600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -49990*b + 449915. Determine v(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 1. Let a be (44\/(-2))\/(14*28\/(-196)). Let w(n) = n**3 - 11*n - 4. Determine a*q(y) - 2*w(y).\nAnswer: -2*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 5. Let g(t) = -5*t**2 + 26*t - 6. Let w be g(5). Let m be j(w). Let p(o) = -19 - 14 + m*o + 33. Let k(f) = -3*f. Calculate p(k(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 370 times 0.964\nAnswer: 356.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2200 + -2187. Sort 2, -11, y in increasing order.\nAnswer: -11, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 263830 and 1055320.\nAnswer: 1055320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4\/15))\/q*q**(-21) assuming q is positive.\nAnswer: q**(-319\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*v = -3, 0 = 326*j - 322*j + 4*v - 12. Which is the nearest to -1\/3? (a) -4 (b) j (c) -3 (d) 0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2605020066 minus -130?\nAnswer: -2605019936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*n + 838 = 2*n, -3*l + 2*n = -629. Let o = -92 + l. What are the prime factors of o?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13304 is divided by 185.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 88*a + 104*a - 46 - 26. Let s be y(-15). What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 - p - 1. Let a(h) = 6*h**3 + 22 + 30 - 47 + 8*h - 7*h**2. Determine -a(x) - 5*m(x).\nAnswer: -x**3 + 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -51. Which is the third smallest value? (a) 5 (b) 2\/23 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:15 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14. Let c = -71 - -46. Find the common denominator of (-5)\/(-10)*(x + 1) and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 821 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 53371256?\nAnswer: 16011376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*j - 16. Let l be (j\/(-12))\/((-6)\/(-9)). Which is the biggest value? (a) 5 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 2*u**2 + 4 + 3*u + u**2 - 2. Let c be g(-3). Suppose -c = -j + 5*v, 3*j - 10 = -2*j - 2*v. Solve 7*a = j*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -315000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 60510 + 94170 = 7*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/103, 5, 7 in descending order.\nAnswer: 7, 5, -2\/103, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 4*l - 25*l**2 + 15*l**2 + (11 + 9*l - 11)*(3*l - 4*l + 0*l) in the form f*l**2 + w*l + c and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3993, 3998, 4003, 4008?\n\"Answer: 5*u + 3988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3994 = -467*o + 17592 - 522 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*78\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 - m - 1. Let x be u(-1). Let g be -6*(0 + x\/4). Solve 0 = 3*v + 2*b - g - 4, -3*v + 5*b + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6 - g**2 + 0 + 7 - g. Let s = -9 - -11. Let f be ((-3)\/s)\/(2\/4). What is c(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 231 = -3*d. Let y = -23 + d. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-36) + 14\/(-84). Let c(s) = 4 - 3*s**2 + 4*s**2 - 2*s + 0. Let h be c(a). Solve l + y = 3*l - 4, h*y - 2 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 14*r - 100 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(3\/10)*(f*f**(-2\/119))\/f assuming f is positive.\nAnswer: f**(813\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t + 5. Suppose 5*g + 0*g - 2*n = -8, -5 = 5*g - 5*n. Suppose -c = -6 - 20. What is the remainder when c is divided by f(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + t)*(1 + 4 - 2)*(-4*t + 5*t - 3*t).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192207 - 2199 = 3393*q for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*9\/(-2). Let v be 0\/(26\/(-182)*7). Solve -5 = -2*l + m*t, 3*l + 10 = t - v*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-176))\/((-2)\/(-4))*46?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -118*z - 2. Let i(p) = -2*p**2 + 2306*p + 3. Give h(i(x)).\nAnswer: 236*x**2 - 272108*x - 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 221993?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*y - 127 = -2*y, 0 = t - 2*y + 41. Let n = t - -87. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2\/17, 4, 0.\nAnswer: -19, -2\/17, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1*24\/9)\/((-2)\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pia when three letters picked without replacement from aqapipqqiipapa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 428308104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 16*c + 28. Determine k(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1927*w - 963*w - 964*w + 162*w**3.\nAnswer: 162*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/((120\/(-20))\/(32\/144*54))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {c: 5, f: 5, s: 1, v: 1, j: 7, y: 1}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u. Let s(w) be the third derivative of 0*w**4 - 9*w - 3*w**2 + 0*w**3 - 43\/60*w**5 + 0. Calculate l(s(d)).\nAnswer: 172*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 8, -2*s + 237 - 1 = 2*x. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80332420?\nAnswer: 2, 5, 7, 547, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -3.7. Let s(j) = -j**3 + 2*j**2 + 5*j - 4. Let a(u) = 4*u**3 - 2*u**2 + 1. Let c be a(1). Let q be s(c). Sort n, 2\/3, q in ascending order.\nAnswer: 2\/3, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, 1 w, and 1 o when four letters picked without replacement from wgdodbw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-3)\/7 + 0). Which is the third biggest value? (a) 1\/10 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/1*(3 + -4 - 1). Suppose -l + 4 = -2*w - k, -8 = 4*w. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -27, 188 in increasing order.\nAnswer: -160, -27, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let b = 11.8 + -11.5. Put x, b, -6 in increasing order.\nAnswer: -6, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4, 2*m + h - 25 - 23 = 0. Let z = 13 - m. Find the common denominator of 45\/8 and (-4)\/30*(-400)\/z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -46. Let v = l + 8. Let r = -29.9999766 + v. What is r rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/(-90)*(-1)\/1292. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 31 = 3*o + 26, -3*j - 49 = o. What are the prime factors of (-24)\/9*j\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 3*h - 39. What is a(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -7*a**4\/12 + 24*a. Let l(g) = g - 1. Let h(y) = -2*y**2 + 4*y - 4. Let u(n) = h(n) - 4*l(n). Calculate i(u(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 r, and 1 l when four letters picked without replacement from {x: 2, h: 2, r: 2, u: 5, k: 2, l: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2261362 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 4. Suppose -7 = -5*r + d. Suppose 5*v = r*z + 330, 2*z + 267 = 4*v - z. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -719 + -7b?\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 18 = -88 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/11 + 354 + -285.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41182 - -41183. Let h = 0.06 + 1.94. Let l = h + -3. Which is the closest to -1? (a) l (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 8) to base 5.\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 542275567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skks when four letters picked without replacement from {k: 2, s: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/883 or 1?\nAnswer: 12\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 0.1, 2\/21, 46181?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 13) + -10 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -34.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 29 = -s, -5*p + 4*s + 63 = 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117)*-2 + (6*(sqrt(117) - (sqrt(117) + sqrt(117)*-2)) - sqrt(117)))*1)\/((sqrt(18)\/sqrt(2)*1 + sqrt(81)*-5)*-6).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 3*i**2)*(170*i**2 - 276*i**2 + 150*i**2 - 125*i).\nAnswer: -132*i**4 + 375*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1633 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1969 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.5 - 2. Let d = -32 + 32. What is the nearest to d in 2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 3 + 3*a**2 + 0*a**3 - 2 + a. Suppose -4*w = w - 15. Let t be h(w). Solve 2*c + 4*u = 6*u + 10, -t*c - 5*u + 11 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128)*2 - sqrt(128)) + 3 - (sqrt(128) - (sqrt(128) - (sqrt(128) + sqrt(128)*2)*-1)) - (0 + sqrt(128) + -4 + sqrt(128) + 5))*1*-5)**2.\nAnswer: 1600*sqrt(2) + 12900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66350 (base 7) to base 12.\nAnswer: 9772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, 72, 4\/7, -0.01, 8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -62. Let h = 5 - t. Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -152. Let o be ((-18)\/7)\/(3 - z\/(-21)). What is the greatest common factor of o and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**2 + 33*c - 33. Calculate p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*o + 172*o + 102*o = 4296. Calculate the highest common divisor of o and 7968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - l = -710, 0 = 5*o - 3*l - 660 - 30. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktknstbkatkkt. Give prob of picking 2 t and 1 n.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -5, 1\/6, 1265?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 26*m + 19. What is i(28)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/((-6362472)\/334872 + 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54770 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 2 - sqrt(275))*4 + -3*1*sqrt(275) + (1*sqrt(121)*1)\/(sqrt(33)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: -224*sqrt(11) + 2220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131*j + 1133*j + 16 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2945, -4 in ascending order.\nAnswer: -4, 1, 4, 2945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/((2 - 6) + (-195)\/(-51)). What is the greatest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -727, -1454, -2181, -2908, -3635, -4362?\n\"Answer: -727*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 5*r**3 + 7*r**2 + 3*r.\nAnswer: r*(r + 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 - 169. Suppose 4*m - u = 68, 5*m - 3*u - 43 = y. What is the highest common divisor of 272 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/60 - h**4\/6 + h**3\/6 - 14*h**2. Let z be w(4). Let l be (-5)\/(-15) - 32\/(-3). Solve z + l = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/6)\/(16\/48 + -1). Let x(p) = -2*p**2 + 10*p + 7. Let d be x(s). Calculate the greatest common factor of 16 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {s: 2, z: 3, t: 5, p: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 284*b - 6 + 6 - 159*b to d*b + p and give d.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8021 + 8017)\/(1*19 + -1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**3 + 1535561*y + 639707 wrt y?\nAnswer: 3*y**2 + 1535561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15961529.\nAnswer: 47, 229, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(6\/4 - 1). Let f be (8\/(-12) - k)*3\/1. Is 16 a factor of -3 + 1 - (-33 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*q + 2071 - 93*q + 2033 - 4104.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2303151534 - 5?\nAnswer: 2303151525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -210 - -174 - (50 + 1)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/38 (c) -5\/2 (d) 1227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/126 and 109\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**3\/3 - 27*n + 2085. Let j(h) = -10*h**2. Give j(b(m)).\nAnswer: -40*m**4 + 1080*m**2 - 7290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1, 2*b - 155 = -i - 0*b. Let v = i + -66. Suppose 0 = s - g - 3*g - 42, -s + v = 5*g. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -722*t**2 - 3. Let n(h) = -2166*h**2 - 8. Let p(o) = 17*l(o) - 6*n(o). Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -19. Let h(k) = -k**3 + 8*k**2 - 5*k - 7. Calculate the remainder when h(v) is divided by 2 + 1 + 0 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) + 12\/(-154). Let l = -2107.6 + 2104.6. What is the second biggest value in -4, l, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+298153.292\nAnswer: 298162.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32143597?\nAnswer: 263, 122219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030814 to seven dps.\nAnswer: -0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2763.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 34*u**2 - 159*u + 398. What is the ten thousands digit of d(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 4)*1266\/(-15). Suppose 6*b = 328 + w. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/396 and 145\/84?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a392 + -15?\nAnswer: -a3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2 + 2)*(-59*k + 2*k**2 + 59*k)*(-3*k**2 - 3*k**2 - 2*k**2) + 10*k**3 - 10*k**3 - 2*k**5.\nAnswer: -50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-22\/7))**(-3\/14) assuming v is positive.\nAnswer: v**(33\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.31 - -9.308697. Round v to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - (-36)\/8. Suppose -4*o + q + 25 = 0, n*q - 10 = -5*o + 15. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 + -378. Let p be 1408\/(-1190) - 1\/(-1). Let k = p - 2\/119. Which is the third smallest value? (a) k (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156420 and 120.\nAnswer: 312840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2 + 8*m - 1 + 0 - m**3 - 3 - 13*m. Let y be -9 + (-2 - -4) + 2. Give o(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 7*u**2 + 3*u + 0*u - u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472, 599, 726, 853?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 17. Let x(i) = 6 - 3 - 3 - i - u. Give x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -9*u**2\/2 + 3. Suppose 0*s - 5 = -s. What is the common denominator of -51\/8 and f(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**2 - 4*w + 14. Let r(x) = 125*x**2 - 55*x + 195. Determine -55*p(m) + 4*r(m).\nAnswer: 5*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 + 2*u + 3. Let q(t) = 8*t**3 - 17*t**2 - 17*t - 25. Let j(f) = -5*f**2 - 10*f + 1. Let a be j(-1). Determine a*q(r) + 51*o(r).\nAnswer: -3*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -514354 (base 6) to base 16\nAnswer: -a0de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6156417 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-185 - -184)*(2 + 2 + -3). Which is greater: -1\/1496 or v?\nAnswer: -1\/1496","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1)\/y*y)**40)**(2\/85) assuming y is positive.\nAnswer: y**(16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v. Let i(n) = -12 - 9 - n + 21. What is i(y(o))?\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h = -5*r + 57*h + 14, h = 3*r. Let i(c) be the first derivative of -c**2\/2 + c - 2. Let w(n) = 2*n**2 + 2*n - 2. Calculate r*w(o) - 4*i(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/72 + (-1 - (-26)\/24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125, 130, 135, 140, 145?\n\"Answer: 5*c + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(243) + sqrt(243) + sqrt(243) + 2)**2) + -3.\nAnswer: -8771 - 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -8. Let z = -13.7 - -2.7. Let s = -6 - z. Sort -0.4, s, v in ascending order.\nAnswer: v, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 23*y**2 - 21*y + 44. Calculate c(-24).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 30101?\nAnswer: 30101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9694*u**2 - u**3 - 34 + 62 - 28.\nAnswer: -u**3 - 9694*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k**4 - 5920*k**3 + 387781*k**2 - 1084706*k + 494312 = 0.\nAnswer: 4\/7, 7\/3, 97, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77964 and 32574?\nAnswer: 4755804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 7*g**2 - 8*g + 7. Calculate u(5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001 (base 3) to base 5.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -1389, -3080, -5447?\nAnswer: -8490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:51 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*12)\/(6\/4). Suppose -17*i - z = -19*i. Calculate the remainder when 35 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 343575 and 25.\nAnswer: 343575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26112 and 18560?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19489, 1, 10 in descending order.\nAnswer: 10, 1, -3, -19489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1152.196 - 1152. What is the second biggest value in -4, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2 - 0)*-2)\/(0 - 2). Let o(m) = -m. Let b(d) = d**2 - 2*d - 5. What is n*o(r) + b(r)?\nAnswer: r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.198 + 120.802. Let a = r + -210. Let b = a - -89.01. Put b, 0, 1\/4 in ascending order.\nAnswer: 0, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5\/39*s**3 + 1\/78*s**4 - 6\/13*s**2 + 19*s + 27. Let g(t) be the first derivative of f(t). Factor g(m).\nAnswer: 2*(m - 1)*(m + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**5*s*s*s**(5\/2)\/s)**(-13)*(s**(-1))**(-20\/3)*s\/s**(-3)*s\/(s*s**(-1\/5)) assuming s is positive.\nAnswer: s**(521\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11574594*d**2*l - 32287*d*l + 413*l wrt d?\nAnswer: -23149188*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 77*m + 13. Let v be d(11). What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + -70)*(-4 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062623781 to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8c546b (base 14) to base 6\nAnswer: -250225115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14590 times 5?\nAnswer: 72950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 44. Suppose -i = 3*c - 49, 17*i - 18*i + 53 = 5*c. Let a = i + q. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 688 + -474. Let w be (-4 - -6) + 111 + -2. Let o = w - h. What is o rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -252348?\nAnswer: -252347.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39475?\nAnswer: 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45, 18, -13, -54, -111, -190?\n\"Answer: -k**3 + 4*k**2 - 32*k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 1.3. Let v = -1293 - -6469\/5. Which is the second smallest value? (a) 3\/5 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*a + 2706 = 3669 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 32240.\nAnswer: 32240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - q**2 + 6*q + 4. Let b be i(-2). Suppose b*k + 30 = 858. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 34*f - 510. Let u(o) = -o**3 - 16*o**2 + 18*o + 20. Let h be u(f). Solve -5*a = h*m - 4, 5*m - 7*a + 2*a = 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9686 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 5\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-5)\/40)\/((-33782)\/10668).\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43659.74 years to millennia.\nAnswer: 43.65974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/1271, -11, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -357.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275*z + 1465716 = 6028*z + 519174 for z.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 69314475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 0. Suppose -2*u + x - 7 = 0. Suppose -u*d + 0 = -15. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -191, -188, -177, -152, -107, -36?\n\"Answer: i**3 - 2*i**2 + 2*i - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 + -2.16. Let f be (-3)\/9*(-3)\/8. What is the nearest to -2\/3 in l, f, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-1)\/(-6))\/((-140)\/84)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.09, 2, -3\/11, 0.5 in ascending order.\nAnswer: -2\/3, -3\/11, 0.09, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + -113. Suppose 0*x - 3*x + 9 = 0. Suppose -n*d = -x*d - 3. Solve -3*r + 9 = d*j - 0*r, 0 = -4*j - 5*r + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 481296189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 104*t + 3098. What is the hundreds digit of a(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(12)\/sqrt(4))**2 + sqrt(3) + sqrt(12) + 0.\nAnswer: 3*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/4 and 89\/6894.\nAnswer: 13788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(-1 + (-2 + -1 + sqrt(2)*4 - ((sqrt(2) - (sqrt(162) + -1 + sqrt(162))) + -3)**2)).\nAnswer: 256*sqrt(2) + 2347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j + 30. Calculate the common denominator of (-153)\/30 + (-2)\/(-5) and 471\/j + (-2)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i + 2. Let o(p) be the first derivative of 89*p**2\/2 + 17*p - 541. Calculate -6*o(s) + 51*v(s).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10079 is divided by 457.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 8*a - 1\/4*a**4 + 1\/2*a**2 - 41 - 3*a**3. What is i(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -85.5. What is the third smallest value in 0.4, o, 2\/23, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 5*r**4\/6 + r**3\/3 + r**2\/2 - 5*r. Determine x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - 34 + 2*c**3 - 44 + 6*c + 118 - 23 + 14*c**2 to h + g*c + f*c**3 + o*c**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 26*f**2 - 130*f + 25. Let o be k(-7). Let t = -25 - -37. Solve -o*x - 8 = 4*i + t, -x = -4*i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227308?\nAnswer: 2, 56827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Let g be 3 + -2 - -3 - m. Which is the third smallest value? (a) 0.4 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(-6 + 1 + 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m. Is 7 a factor of k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5506990 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 74 (b) 4 (c) -1 (d) -0.4 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11323 + 2830 + i + 2835 + 2831 + 2827.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 0.33.\nAnswer: -15.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 4860.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6990 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12579*y - 12894*y + 33886*y + 1 - y**2 + (-4 + 4 + 2*y)*(-3*y - 3 + 3) to d + m*y + k*y**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832)*1 + sqrt(832) + sqrt(832))**2*-2*-6 + ((sqrt(832) - (sqrt(832) + 1*sqrt(832)*6))**2 - (5 + ((-5*sqrt(832))**2 - sqrt(832)))).\nAnswer: 1736*sqrt(13) + 99111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 841*g + 2714. Determine c(-3).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 319, 1235, 3053, 6079, 10619, 16979?\n\"Answer: 51*b**3 - 8*b**2 - 13*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5247 = 12*f - 6609. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wgwggwwwwwwwwg?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -217*f + 40259. Is g(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -22*y**2 + 16. Let n(f) = 7*f**2 - 5. Let o(i) = 5*k(i) + 16*n(i). Let l(q) = -14*q. What is o(l(z))?\nAnswer: 392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 17. Suppose -4*t - w = -32, 3*t + 2*t - 5*w - 65 = 0. What is the highest common divisor of x and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 5)*(1 - 0). Let f = s - -11. Suppose 2*u = 2 + f. Solve d = -d - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 u when three letters picked without replacement from gffgkffwfwffwuwfg?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.0695.\nAnswer: -0.02085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 20*t + 0 - t + 1.\nAnswer: -20*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 62 = -4*t, -4*r = 4*t + 126 - 78 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2))**16)**(1\/3))**50)**(10\/3) assuming c is positive.\nAnswer: c**(-16000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 6:44 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2452\nAnswer: 5\/2452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 153 (b) -1 (c) -8.2 (d) 4 (e) -0.04 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/(-220) + (-47)\/(-10). Suppose -3*i + d*i + 6 = -5*l, -2*l = -i - 3. Put 0, i, 109 in decreasing order.\nAnswer: 109, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14150 divided by -14150\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1030906, -2061782, -3092658?\n\"Answer: -1030876*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13232539.\nAnswer: 13232539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.44 - 0.06. What is the closest to 0.1 in s, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 3 + 3 - 4*b**2 + 2*b**3 - 3. Let f be t(2). Solve -f*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89279 plus 28400.28692?\nAnswer: 28401.17971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433247806 to the power of 1\/2, to the nearest integer?\nAnswer: 37858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454154 (base 12) in base 2?\nAnswer: 1111100111000011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7955.776l to millilitres.\nAnswer: 7955776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 836803, 6694327, 22593301, 53554447, 104598487, 180746143, 287018137, 428435191?\n\"Answer: 836787*t**3 + 3*t**2 + 6*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003698 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 67 - 14 = 3*t, -2*h - 34 = -4*t. Suppose -7*s - 24531 = -t*s - 5*u, -2*s = 4*u - 12258. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 6?\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(7) - sqrt(49)\/sqrt(7))*4*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*p = -3*d - 15, 3*d = 3*p + 30. Suppose -5*r + 4*s + 1 + 6 = 0, -4*s = d*r - 23. Calculate the smallest common multiple of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579630477991 + 213?\nAnswer: 1579630478204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -1\/3*n**3 + 0*n + 0 + 1\/24*n**4 - 35*n**2. Determine t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 31, 0 in descending order.\nAnswer: 31, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 379 and 1970421?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 - -0.21. Let v = 644\/39 - 76\/13. Let m = 230\/21 - v. What is the closest to b in 0.3, m, -2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 4 + 39*w + 38*w - 80*w + (-21*w**2 - 33*w**2 + 16*w**2)*(2 - 4 + 0).\nAnswer: 77*w**2 - 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + -8*713\/(-552)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 14*q**3\/3 + 2230. Let y(g) = -352*g**2. Determine y(w(o)).\nAnswer: -68992*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1223537? (a) -0.063 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(104)*2*-1)\/(((sqrt(352)*1)\/sqrt(11))\/(2*sqrt(16)\/sqrt(4))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 45*x**3 - 3 + 4 - 54*x**3 + 95*x**3.\nAnswer: -4*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 24. Calculate z(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 9) in base 15?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g**(3\/7))\/(g*g**(4\/3)*g\/(g\/(g**(-3)\/g)))*(g*g\/(g*g\/g**(1\/4))*g\/(g*g**(-1)*g)*g)\/(g\/((g**0\/g*g)\/g)*g*(g**7*g)\/g) assuming g is positive.\nAnswer: g**(-517\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 + 143. Let u(r) = -r**3 - 3*r**2 - 9*r - 5. Is 15 a factor of u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Suppose 0*a - 58 = -z*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4361930 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1336794778 to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1190 + 347. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35336*t**3 + 34244*t**3 - 7688*t**3.\nAnswer: 61892*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3490*x + 3451*x = -5969301. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 (base 3) in base 13?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 2, q: 3, y: 1, e: 2, m: 1}. What is prob of picking 2 l and 1 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**3 - 3*z**3 + 5*z**3)*(5 + 2*z - 5) - 18*z + 2*z**2 + 12*z**4 + 17*z - z**4 in the form w*z**3 + y*z + j + s*z**4 + b*z**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.3 - -13.5. Let m = -105.9 + w. What is m rounded to zero decimal places?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18803596?\nAnswer: 2, 7, 671557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -146. Suppose 0 = -5*z - u + 6*u, -5*u = z - 6. What is the greatest common divisor of k and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159518 less than 6269?\nAnswer: -4153249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. Suppose -3*w = -i*w - 3. Let h be 2*w*(-65)\/(-78). Let z(k) = -3*k + 6. What is z(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(30\/(-4)) + 36\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -4*y + 581 = 3*d, 0*y - l*d = -2*y + 280. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2013678075 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 186667*w**3 + 3*w**2 + 3*w - 9. Let r be (9\/(-12))\/((-2)\/(-24)*3). Let t be l(r). What is t rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, 2, 3\/8, 2\/4905, -2, -0.5?\nAnswer: 2\/4905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -41, 11.\nAnswer: -41, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -166 (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111307 is divided by 530.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttu when three letters picked without replacement from tattmtauauuauatauu?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q + 3*a + 27, a = -5. Let m(o) = 6*o + 38. What is m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 713*c**2 - 10*c - 5111 + 5*c**3 - 3038 + 8*c - c**3 - c**3 wrt c?\nAnswer: 9*c**2 + 1426*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 84. What is the remainder when (-2)\/12 + 5 + 3610\/60 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56807062 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**2 - 20*l**3 - 11 + 18*l**2 + 19*l**3. Calculate u(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(98) - -3*sqrt(98) - sqrt(98))**2 + 5)*-3.\nAnswer: 7983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 117 = 5*v. Let n(w) = w**3 - 33*w - 8. Let q be n(6). Calculate the greatest common factor of q and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145524, 145505, 145498, 145509, 145544, 145609?\nAnswer: 145710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, 34, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 118*v**2 - 75*v + 58. Let s(a) = 43*a**2 - 26*a + 19. Let l(q) = 4*r(q) - 11*s(q). Determine l(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264046076 divided by -4?\nAnswer: -66011519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 2*n**2 - 2*n - 5. Suppose 3*u + u - 20 = 0. Let v be f(u). Suppose 0 = -4*p + 7*p - v. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7816, 8395, 8974, 9553, 10132, 10711?\n\"Answer: 579*d + 7237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let r(d) = -3*d**2 + 3*d. Let k(f) = 3*l(f) + r(f). Let n(p) = 41*p - 23*p - 15*p. Give n(k(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44242 + 33413. Does 96 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.07 minus -4?\nAnswer: -9.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Suppose u*z - 14 = 1. Is ((-444)\/(-18))\/(2\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:21 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*t**5 - 290*t**4 + 5*t**2 + 12*t + 472.\nAnswer: 5220*t**2 - 6960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.383 + 0.403. Round s to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.47944 litres to millilitres.\nAnswer: 68479.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -110?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 5. Let d be q(7). Let x = 25 - d. Suppose 2*w - 6 - x = 0. What is the least common multiple of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/1353 and -17\/123.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 30?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -8644 in ascending order.\nAnswer: -8644, -18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*o - 34*o + 6*o)*(2 - 3*o + 3*o - 2*o) in the form f + q*o + n*o**2 and give n.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 5*k - 3\/20*k**5 - 3\/2*k**3 - 3\/2*k**2 - 3\/4*k**4 + 0. Factor n(b).\nAnswer: -3*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9159 + 9075 = -12*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) 0.3 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3320.7958 and 2.\nAnswer: -6641.5916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) - (16\/(-4) - -22). Which is greater: -12 or f?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c676 - 123b?\nAnswer: 1b439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57242074.\nAnswer: 2, 73, 392069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 13*b + 41. What is o(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/12*2*-6)\/2. What is the common denominator of 10\/423 and (1428\/(-252))\/(t\/(-7))?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 230*u**2\/3 + 454*u\/3 + 226\/3.\nAnswer: 2*(u + 1)**2*(u + 113)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.196 or -11.7?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1*6 + 1). What is the second derivative of -v + 6*v**2 + 0*v - c*v**2 + 3*v wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 73. Which is the closest to -1? (a) 1 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.38608g to tonnes.\nAnswer: 0.00005038608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((420\/(-40))\/7*(-140)\/(-210))\/((-50)\/3)?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:14 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 384 + -384.5. Let h = 7 - 4. Let j = 0 - h. What is the third biggest value in i, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*o + 11 = 0, -f + 10 = -5*f + 5*o. What is the second biggest value in f, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*q + 863 = -427*q - 934 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -81746 + 78200.9. Round y to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0798 and -0.3?\nAnswer: 0.3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 11 = o + 25, -23 = 4*o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -21819*n**3 + n**2 - 10*n + 8. Let q be m(1). Round q to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 430 = 4*h, -4*h + 128 = f - 293. Suppose -9*w + 11 + h = 0. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -33*s**8\/56 - 5*s**4\/6 + 28*s. Find the third derivative of z(i) wrt i.\nAnswer: -3960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 45*b**2 - 2*b + 98. Calculate a(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3671.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - (0 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 30*v**3 - 114*v**2 - 146*v - 60.\nAnswer: -2*(v + 1)**2*(v + 3)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/17 + 3234*d\/17 + 1164232\/17.\nAnswer: 2*(d + 541)*(d + 1076)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 8. Let g be 14\/(-18) + c\/(-36). Is -1\/5 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034\/141*1\/((-24)\/9 + 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 90. Which is the second smallest value? (a) 4 (b) -0.3 (c) v (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*g + 5016*g + 393*g + 295865 = -1368*g for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 - 2 - (-4 + 3 + -3). Let q be (-6690012)\/a - 48\/(-60). What is q rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735674740 to the power of 1\/2, to the nearest integer?\nAnswer: 68816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*n + 56 + 34 = -142 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/15 + 4\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1066 and 3772.\nAnswer: 49036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-156)\/(-36). Suppose -13 - 3 = -y*o. Suppose -q = 4*s - 341, 1345 = o*q - 3*s - 0*s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11*6)\/((-3)\/(-2)). Suppose -5*a + n = -3*a. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -156.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7980269?\nAnswer: 11, 725479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8*b + 15 = 4*b, 3*k + 5*b = 9. Let m be 1\/(k*(-2)\/(-450)). What is the greatest common factor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 861 = -67. Let o = n - -122. Solve -o*k + 4*u = -5*k - 8, 0 = -5*k - 2*u - 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/6 - 3569*g\/6 - 1150952 = 0.\nAnswer: -1392, 4961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 1, k: 5, c: 2}. What is prob of picking 1 u, 1 k, 1 l, and 1 c?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2150132135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.06 and -2424604188.\nAnswer: -2424604186.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 712\/3285 - -2\/365. What is the smallest value in v, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 4670956?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 18*r - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*g + 86 = 392*g - 21*u, -g - 22 = 5*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.088992*-0.2.\nAnswer: -0.0177984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8283 rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379955944.\nAnswer: 2, 172494493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346544490.\nAnswer: 2, 3, 5, 157, 710519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(2823782\/(-12235308) + 8\/34)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35398, 70784, 106134, 141430, 176654, 211788, 246814, 281714?\nAnswer: 316470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 5, b: 2}. Give prob of picking 1 b and 1 d.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2. Let s be ((-10)\/(-20))\/((-2)\/(-12)). Let n(x) = 2*x + x - x**3 - s*x. Suppose -4*f + 8*f = -4. Give f*w(i) - 2*n(i).\nAnswer: i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4901380 divided by 1\nAnswer: -4901380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15557933?\nAnswer: 15557933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 9*r + 12. Let p be f(-8). What is the units digit of -37*p\/(-4) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/54 and 145\/918.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 237725.498466535?\nAnswer: 237728.498466535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**5 - 231*y**4 - 22284*y**3 + 250251*y**2 - 506310*y + 193392 = 0 for y.\nAnswer: -51, 1\/2, 2, 8, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s - 86*s - 233*s = -45*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*v**2 - 41*v + 41*v)*(-4*v**2 - 18*v**2 + 6*v**2) + (2*v - 16*v - 4*v)*(3*v**3 - 1 + 1) in the form j*v + g*v**4 + m + w*v**2 + o*v**3 and give g.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-24))\/(2\/(-15)). Let k = 28 - p. Let l = k + -18. Solve -l*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/2)\/b))**(-43)\/(((b**0\/b)\/b)\/b**(-4\/7)) assuming b is positive.\nAnswer: b**(-1485\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.3. Let o(f) = -2*f**2 - 7*f + 2. Let t be o(-4). Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j**2 + 54*j + 19. Let q(m) = 9*m**2 + 28*m + 11. Calculate 7*q(r) - 4*x(r).\nAnswer: -9*r**2 - 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 375, -3, -9 in descending order.\nAnswer: 375, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.547225 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6795*o**2 + 12*o**3 + 6795*o**2.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/23 (b) -26 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1221559.9 to the nearest one thousand.\nAnswer: -1222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 174 (c) -5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 + 33*i**3 - 16*i**3 + 12*i - 11*i**2 - 10*i**3. Let k be j(-12). Put 21, -5, k, 2 in descending order.\nAnswer: 21, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*h + 40, 2*i + 7*h + 2 = 5*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xarnalr. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2886*k + 104023 = -175919 for k.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, 0.85, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 8*d + 33 - 63 - 47*d**2 as z*d + k*d**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 7 + 5*b + b**2 - 3*b + 2*b. Suppose 0 = -4*h - 0*q - q + 14, -4*h + 3*q = -6. Suppose h*u + 11 = -p, 4*p + 11 - 2 = -5*u. Calculate d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 4*b**2 + 1357 - 1436 + (3*b - 2*b + b)*(4*b - b - b) in the form l*b + y*b**2 + i and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81705?\nAnswer: 3, 5, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxw when three letters picked without replacement from cnnncxcnxnincccwana?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24796 = -i + 5*y + 19813, -5*i + 223133 = -3*y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9407 + -9402.237. Let h = 0.063 - b. What is h rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 - 11*c**2 - 11*c - 45. What is the tens digit of n(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13469*i**4 - 3449.\nAnswer: -53876*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6) + 8\/12. Suppose -m*r - 11 + 59 = 0. Let t = r - -19. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -32*f - 98. Let k be g(-3). Let a(i) be the third derivative of -i**5\/60 + i**4\/8 - i**3\/6 - 6*i**2. Let s(w) = w - 1. Determine k*a(b) + 2*s(b).\nAnswer: 2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/16 and -19\/780?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**2 - 3*y + 1. List the prime factors of j(2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*j**4\/3 + 336*j**3 + 5375*j**2\/3 + 432*j + 80\/3 = 0 for j.\nAnswer: -4, -1\/8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**3\/3 - x**2 + 162*x - 2. Let t be k(0). Let h = t - 46. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0459 + 1239.9541. Let r = p + -1250.34. What is r rounded to 1 decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1175541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8*w - 5*b + 60 = 0, -b = 3*w - 60. Calculate the remainder when 98 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39684, 158969, 357776, 636105, 993956, 1431329, 1948224?\n\"Answer: 39761*x**2 + 2*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 13498692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**6 + 28*o**5\/5 + 5*o**4 + 4*o**3\/3 + 3. Factor w(f).\nAnswer: 4*f**2*(f + 1)**2*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:00 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687.1 + -740. Let u = i - -53. Let k = -1 - -4. Which is the closest to k? (a) u (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100110 (base 2) to base 5\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.052 + 0.05199974. Round g to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*t + 20 = 0, -30*l + t = -26*l + 5. Let p(d) = d**3 + d**2 - d + 13. Give p(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 1\/3 (c) -4 (d) 0.091\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by ((-264)\/(-440))\/((-3)\/(-1030)).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/153 and 1\/57.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*(775 + -1). Suppose -291 = -4*u + 6*j - 3*j, -y = -5*u - 4*j. Let d = u - 46. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/8 + 12\/(-8). Let z = 17 + 68. Let l be z\/10 - 12\/p. Solve -m - l = -6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1 - (-6*sqrt(3) + sqrt(3))*2)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -930 - -7511\/8. Calculate the common denominator of 85\/4 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 2 (c) -2 (d) 0.2 (e) 0.5 (f) 221\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168755 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55182637 or -55182634?\nAnswer: -55182634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -3\/2 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l - 94. Let j = -2 - -70. Let q = j + l. Calculate the lowest common multiple of q and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(5\/10 + 153\/(-270)). Are 32\/23 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h = 468 - 78 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150393441?\nAnswer: 3, 11, 17, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 26 = 3*r, -11 = 4*r + 2*s - 9. Suppose -y - 4*w + 3*w + 1250 = 0, 3*y - r*w - 3765 = 0. Does 58 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91212 and 27852?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146925 = -2557*u - 971*u + 22419 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -1353, -4958, -11961, -23496, -40697, -64698, -96633?\nAnswer: -137636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-86 - 24160\/(-280)) + 446\/(-336) + 1\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(133)*-5*5)\/((sqrt(448)\/sqrt(8))\/sqrt(8)).\nAnswer: -25*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/51)\/(20\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/3 - 4*q**2 - 17*q\/3 + 30 = 0 for q.\nAnswer: -9, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from pppxppbmq?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-35)\/14 - (-2)\/1. Put 0.5, 2, 1, f in ascending order.\nAnswer: f, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4 - 6) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + 1 + sqrt(176) - sqrt(176)) - (-3 + sqrt(11) + sqrt(275) + 2 + 2*sqrt(22)\/sqrt(2)).\nAnswer: -8*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 + m**4\/6 - m**3\/3 - m**2 - 4*m. Let f(k) = k**2 - k - 1. Determine -3*c(w) + 6*f(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -716.\nAnswer: -93\/716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.772753 times 0.5?\nAnswer: -0.8863765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 76762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/6)\/(8\/12). Let b = -149 + 156. Let k(g) = 0 + 5 - g - c - b. Determine k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12032904 + 0.14.\nAnswer: 12032904.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 7, -5 in decreasing order.\nAnswer: 7, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -386246453 + 0?\nAnswer: -386246453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2420)*-5 - sqrt(2420)) + sqrt(2420)*2*1)\/(3*sqrt(100) + (sqrt(8)*-1)\/sqrt(2)).\nAnswer: 121*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:19 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 times -0.2?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -189*o. Let s(a) = -54*a. Give -5*n(j) + 18*s(j).\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4959.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 9*a - 24. Let i be t(12). Suppose -15*c = -19*c + i. Solve -2*z + c*d = -3*z - 3, -3*z - 4*d = -1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0*t)**(-3\/8)*(t*t\/t**2*t)**(4\/19) assuming t is positive.\nAnswer: t**(-41\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256 - -273. Let s(c) = -c**3 + 29*c**2 + 10*c - 25. Is s(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 - 300*j**3 - 4536*j**2 - 3616*j + 8448 = 0. Calculate j.\nAnswer: -12, -2, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970*u = 967*u - 2*j + 1, 23 = -u - 4*j. Solve 2*p + 4*i = 3*i - 8, p = u*i + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31447648*f**4 + 971575.\nAnswer: 125790592*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 + 21*l + 17. Let u(h) = -2*h**2 + 10*h + 7. What is -2*m(d) + 5*u(d)?\nAnswer: -4*d**2 + 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i - 55*i + 35*i - 45*i to the form x + w*i and give w.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.4 + -18.4. Which is the closest to r? (a) 0 (b) 2.1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 2\/39, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000089852964 rounded to 6 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvootvvtwvvwsvvov. Give prob of sequence vws.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32.2 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24138810 is divided by 2021.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5692676 divided by 44\nAnswer: 129379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/510*(0 + ((-14)\/(-91) - 172\/1456))?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996004.\nAnswer: 2, 3, 11, 22697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 87 = -308 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2 - 2 + 22262*r + 22263*r + 2*r**2 - 44568*r + 0*r**2. Calculate u(21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-8) - (-97)\/8. Let k = h - 4. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 38 = 20. Let f be (r\/5 - 3) + 5. Determine q so that -1\/5*q**3 + f - 12\/5*q + 6\/5*q**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 3.6 (c) 93624.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d + 13. Let b(g) = -g - 3. What is -18*b(a) - 4*p(a)?\nAnswer: -4*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 3*c + 2*c)*(4 - 2 - 1) + (5 - 1 - 5)*(-3*c + 2*c + 0*c) + 150*c - 45*c + 26*c to the form w*c + l and give w.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12546 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 6:04 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*g - 7, -9*q + 4*g + 140 = -4*q. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 81910.\nAnswer: 901010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13680 (base 13) to base 5.\nAnswer: 2130040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Let j = x + -2. Suppose 4*d + j = 34. Solve 3*n - 3 = 5*f - 5, -2*n = d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2))\/(3 + -4). Suppose d = y + 3 + 1. Let j(s) = -3*s - 5. What are the prime factors of j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4 and 31\/740.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 1404.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -105797 and -557258?\nAnswer: 451461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -36?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34879 and 961?\nAnswer: 33518719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-28) - (-74)\/(-14). Let q = g - -5. Is 12 a factor of -12*1*(-1 + q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253460286 divided by -1141713?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**2 + 22*g - 3.\nAnswer: -(g - 3)*(7*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*k + 1221*k - 27734 - 75021 = 58168 for k.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*j**3 + 2652*j**2 + 529393?\nAnswer: 123*j**2 + 5304*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*u - 267 - 51, 0 = -5*u - 4*o + 324. Let n = u + -8. Let l be ((-2)\/4)\/((-4)\/n). Round l to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3457793.0138 + -3458119. Let s = u - -326. What is s rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468750 + 463.\nAnswer: 469213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 489, 1703, 4067, 7965, 13781, 21899, 32703?\nAnswer: 46577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -759 and -2437.\nAnswer: 1849683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {l: 1, h: 2, g: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 57. Let j be q(7). Suppose j*p - 48*p = 414. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 482.71033 to the nearest integer.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -143 + -13?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 27, 1\/1006, -3\/14?\nAnswer: 1\/1006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -112, -113, -126, -157?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = w + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 48*f - 50*f + 5*f**2 - 26*f**2 + (-4*f + 0*f + 3*f)*(49*f - 8*f - 9*f).\nAnswer: -53*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1542233 and 1442?\nAnswer: 317699998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -261829 - 113?\nAnswer: -261942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77005265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6267 - 0.6367. Which is the second biggest value? (a) 0.5 (b) -2\/5 (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/3 - 8*n. Let u = -5 + 9. Is r(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -0.0191?\nAnswer: -5.0191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = -4*g. Suppose 5*w = g*w. Let o = 4 - 1. Solve w = 4*l + o + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4644 = 3*c, -4*r - 26 + 38 = 0. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (11 - (-20 - -44))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62778*b**3*u - 30*b*u - 115*u + 48878 wrt b.\nAnswer: 188334*b**2*u - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48245 + -5?\nAnswer: 48240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 plus -2?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4211 - 3432222?\nAnswer: -3423011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:30 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z**2 - z - 2. Let t be m(-4). Let b be -4 - t\/8 - (-3)\/12. Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6028, -6027, -6026?\n\"Answer: f - 6029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0*m + 4*m + 2*m + (3*m - 3*m - 2*m)*(6 - 3 - 4) - 2*m - 2*m + 6*m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-9*k + 8*k - 7*k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = -40*c + 308. Let i be 6\/4 + (c\/8 - 5). Solve -3*v = u - 3, -2*v + i*u - 1 = -11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 3. Let m be b(-5). Let o = 5 + m. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2603742.\nAnswer: 1\/1301871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:18 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/68 and (51\/12 - 6)*(-8)\/289.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 2. Let l = -22.9 - -29. Let g = l + x. What is the third biggest value in g, 0.2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 419*h - 6834. Give a(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 - 135*z**2 - 285*z - 145 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 2, h: 1, t: 2, m: 10, p: 2}. Give prob of picking 1 t and 1 h.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.4002656 milliseconds to minutes.\nAnswer: 0.00002333776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2 + 2*d - 11 + 3 + 6. Calculate k(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 + 23)*2\/(-6). Suppose 135 = 4*y - 5*x, c*x + 3 = -x. Suppose -154 = -n - 2*n - k, -5*k + 170 = 3*n. What is the greatest common factor of y and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(2\/25))\/j)\/(j\/j**(1\/8)))\/(j**(2\/7))**46 assuming j is positive.\nAnswer: j**(-19737\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*p + 18*y + 6 = 3*p, -2*y = 10*p - 154 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1060 - 7?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*f - 248, 2*x + 36 = 3*f - 208. Let v = f - 75. What is the units digit of (-1624)\/(-35)*v\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552218 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/8424 and 49\/372528?\nAnswer: 3352752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30573)\/(-580176)*-102)\/((6\/(-16))\/3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**24*n)\/n**(1\/3)*n\/((n\/(n*n**(-24))*n)\/n)*n**40 assuming n is positive.\nAnswer: n**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.22 * -151.\nAnswer: 335.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 17*q**2 + 15*q + 2. Let f be i(-18). Suppose u - 76 = -v, 3*v + v + f = u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*x + 4*m - 22 = 0, 12 = 4*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-9)\/120*6*(-19)\/57\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172271052.\nAnswer: 2, 3, 4785307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30950781*f**4*s + 54*f**2*s - 125*f**2 + 237*s wrt f.\nAnswer: 742818744*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r = 79*r + 45. Solve 15 + r = -6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/30 in 0.1, -3, -8, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/9)*a*a*a*a)\/a)\/(a\/((a*a**(5\/9))\/a)) assuming a is positive.\nAnswer: a**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1154.059 + 1153. Let q = -0.041 + u. Which is the second biggest value? (a) 4 (b) q (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3780\/(-525))\/(((-2)\/(-5))\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**2 + 5*g**2 - 6*g**2 + 2*g**2 - 7*g**2 + 3*g**2 + (-4 + 6 - 1)*(g**2 - g**2 + 2*g**2) - 1 - g**2 + 1 - g**2 - 1 + 1.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2)\/(-2)*-3. Suppose -y*t + t = -36. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -11) + -12 + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5*(1 + 1). Let i be 1\/2*(18 - -2). Let l = 11 - i. Which is bigger: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g. Let j(l) = -2*l**4 - 2*l**3 - 3*l**2 + 7*l - 3. Let k(z) = -j(z) + 2*r(z). What is the second derivative of k(w) wrt w?\nAnswer: 24*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 94. Suppose -3*i - 4*c - 1 = -a, 0 = -i - c + 4. Solve 3*v - i = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7846.11396 to the nearest ten.\nAnswer: 7850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073733 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 328.6 and -288.\nAnswer: -94636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -603553 + 603552.9299962. Let r = 2.83 + -2.9. Let m = r - b. What is m rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 + 8*y - 7. Suppose -2*n - 5*t = 22, 5*t = 3*n + 2 + 6. Let w(k) = -3*k - 2*k + 1 + 3*k**2 + 4*k - 2*k**2. What is n*w(l) - c(l)?\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9845.\nAnswer: 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - f + 0*f - 2*f + 0 + 0 + (3 - 3 - 4*f)*(3 + 1 - 6) in the form u + d*f and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + 2*t - 3*t + (0*t - 3*t + 5*t)*(-5 + 205 + 34))*(-3 + 1 + 4) to u*t + x and give u.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 21398861?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:12 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 847 divide 339582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 1 - 1)*(-2 + 1 - 2)*(-11 + 11 + 8*s)*(-3 - 2 - 2).\nAnswer: -504*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(14\/21)\/(-2). Which is the closest to 1? (a) 1 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1510 and 16912?\nAnswer: 84560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(3\/7))**(-22\/7))**(-5))**(-3\/4) assuming q is positive.\nAnswer: q**(-495\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 34*u = 95 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6275013.33 to the nearest 10000.\nAnswer: -6280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -22. Let w(s) = s**2 + s + 12. Let q be w(8). Calculate the highest common divisor of b and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.276 + 317.324. Let i = m - 291. Round i to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 23*z**2 + 1740*z - 3387. Determine v(2).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-12.155.\nAnswer: -12.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2786362028 to the nearest integer?\nAnswer: 52786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321918404843\/603 - 533861489. Let g = f - -1090\/9. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436020 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t = 25*t - 600 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1, p: 3, n: 3, x: 1}. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*n**2 + 33 - 10*n**2 - 13*n**2 - 3*n**2 - 8*n**2 + n as j*n**2 + t + w*n and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 6.50537?\nAnswer: 0.0650537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b - 0. Let p be (-1)\/(b + (-3)\/(-6)). Suppose -d = p*k + 4*d - 101, -185 = -5*k + d. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*2 + sqrt(45)\/(sqrt(5)*-3))\/(4*(sqrt(30) + sqrt(120)*-1)\/sqrt(10)).\nAnswer: -35*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 78. What is m(-29)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/124 - -469\/372. Which is the nearest to k? (a) -2\/11 (b) -2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7464.466 nanoseconds to milliseconds.\nAnswer: 0.007464466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -w + 91. Suppose 2*x + 2*x - 3*d = w, -d + 66 = 3*x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/(-85)*60\/(-26). Which is the third biggest value? (a) s (b) 5 (c) -5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(-1)*(-3)\/(-1)*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) 2\/5 (d) 0.3 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of (-2324 - 245)*(-7 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + -3. Let z = -3.9752 + -0.5248. What is the closest to z in -0.5, 0.2, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1599857.8.\nAnswer: 4799573.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61761 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 7*f**2 - 6*f + 3. Suppose -5*n - 3*v - 45 = 0, -2*v + 3 - 37 = 4*n. Let u be k(n). What is the derivative of u*g**4 - 1 + 4 - 2 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 35 + -42 - (21 + 66).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*u + 5179 = 5190, 34 = -2*v - 7*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 5, f: 5, g: 7}. What is prob of sequence gaa?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 248450701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c**2. Let l(v) = -413*v - 1003. What is l(y(k))?\nAnswer: -4130*k**2 - 1003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556.219 kilometers in meters?\nAnswer: 3556219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*y = 34 - 7, -13 = g + 5*y. Solve -6*i = -g*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 66*n**2 + 187*n + 1548. Determine p(-35).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a decade?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40321440 (base 5) to base 9.\nAnswer: 542520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:56 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/3 + 8391*x + 276782\/3 = 0. Calculate x.\nAnswer: -25162, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g + 4, -4*g - 336 = -4*n. Let d(r) = -2*r - 182. Let c be d(-138). Let i = c - n. What is the remainder when 18 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l - 30 = 0. Suppose -3*s = 3*b + 3, -5*b = -9*b + 5*s + 14. What is the lowest common multiple of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (17\/51)\/((-153)\/(-6129))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*t + 565*t - 179*t - 188*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -155406.\nAnswer: 2\/77703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4462534 to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p + 66*p - 16 = 0. Calculate the remainder when 105 + -4 + -5 - 9\/3 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500) + sqrt(5) - sqrt(5))**2 + 1*(-5 + sqrt(5)).\nAnswer: sqrt(5) + 1995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -478354 rounded to the nearest one thousand?\nAnswer: -478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fccchccfffccchfc. Give prob of sequence fh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -518, 4, 0.5, 4\/5.\nAnswer: -518, 0.5, 4\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 8:16 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0971276 millennia in decades?\nAnswer: 9.71276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -119 - (-2103 - -2207)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 904, 1793, 2656, 3481, 4256, 4969, 5608?\n\"Answer: -2*r**3 - r**2 + 906*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-639)\/15 - 4\/10. Let t = q - -22. Find the common denominator of 32\/11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/340 + 4\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 761299\/40 or 19032?\nAnswer: 761299\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 70. Suppose 0 = -2*v - 5*r + 54 + h, 0 = 2*v - 2*r - 24. Calculate the remainder when 131 is divided by (3 - 1) + v*(-3 + 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 58212.\nAnswer: 58212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 183 in decreasing order.\nAnswer: 183, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -722, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, t: 2, s: 4}. Give prob of picking 1 h and 3 s.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9097575?\nAnswer: 3, 5, 101, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*w**2 - 135*w**2 + 38*w**2.\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (7 - 2 - 4). Let u = 2 + f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*l*p + 60*d*l - 150944*d*p + 80*l**2 wrt l?\nAnswer: 2*d*p + 60*d + 160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107914227 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: What is the least common multiple of 73386 and 2376?\nAnswer: 3228984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 5, -225.\nAnswer: -225, -5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*p - 3*q, 3*p + 22 - 7 = -2*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -232, -238, -244, -250?\n\"Answer: -6*g - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 11*g**2 - 12*g + 6. Let l be z(12). Suppose 0 = l*o - 324 + 66. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22213003132 - 1?\nAnswer: -22213003133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (174\/180)\/((-24)\/30) + (-3)\/24\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*q - 85, -2*j + 5*q = -0 - 3. Solve 2*s = -3*y - 2, -4*s - 3*y = -2*y + j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/67 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 2\/47 (b) 0.2 (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/12 - 17*y**2\/2 + 10. Let b(s) be the second derivative of n(s). Let h(u) = -33*u**2. What is h(b(k))?\nAnswer: -132*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -44*c**5\/3 - 68*c**4\/3 - 8*c**3 = 0.\nAnswer: -1, -6\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 5, 2 in ascending order.\nAnswer: -7, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 18. Let g(w) = 4*w - 2. Is 2 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 19 - 5 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 23*o**2 + 7*o - 12. Let c(y) = 11*y**2 + 3*y - 5. Let l(k) = -7*c(k) + 3*x(k). Give l(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(((-32)\/(-12))\/((-48)\/(-54))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f**2 + 6*f**2 + 16*f**2 + 26*f**2 + 15*f**2.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4624 by 2.\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.174977 and 33.\nAnswer: -203.774241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1590*a*i**5 + 975*a*i**3 + 1248*a*i + 18*a + 201*i + 2 wrt i?\nAnswer: 31800*a*i**3 + 5850*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7301 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -14) + (-2 + 4 - 15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70664 by 1.\nAnswer: 70664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78173368187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2768 = -2*i - 2760, 4*i = -10*k + 96 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 8924.\nAnswer: 8931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -9. Let a(o) = o**3 - 6*o**2 - 6*o - 2. Let t be a(f). Suppose -118 = -t*j - b, 0 = 2*j + 4*b - 45 + 5. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*p = 3 + 7. Put p, -5, 0, 1 in increasing order.\nAnswer: -5, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b943 (base 16) in base 4?\nAnswer: 23211003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.84 + -26. What is w rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329*l + 1336*l = 2662*l - u + 17, 0 = 2*l + 4*u + 12 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 34 + 20. Let p be (h\/15)\/((-2)\/(-5)). Let w = 21 - p. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + j**2 - 3 + j. Let k(s) = s**3 - 4*s**2 + 3*s - 8. Let b be k(4). Is f(b) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, n: 2, r: 5}. What is prob of sequence yryn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 2*k + 9*k - 5 - 3*k**3. Let j(d) = 5*d**3 - 15*d + 8. Let m = 21 - 13. Let n(v) = m*q(v) + 5*j(v). Find the second derivative of n(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49 + -0.01. Let y = 0.4 + d. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1\/22, -19\/11?\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(4032) + 0 - sqrt(4032))) + 1)**2 - (0 + 3 + sqrt(7) + ((sqrt(63)*-3)**2 - sqrt(7)) + sqrt(7)).\nAnswer: -541 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -407, -601, -821?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 932\nAnswer: 5\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(50)*-1)\/sqrt(10))**2 - (sqrt(5) + sqrt(480)\/sqrt(6)) - (2*(2 + sqrt(500)))**2).\nAnswer: -2013 - 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -26 - (-8 + 8 + -7 + -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 2. What is v(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 702 and 585?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 + 2*h**2 + 2*h. Let r(u) = -3*u**3 - 3*u**2 - 3*u. Suppose q - 4*q + 9 = 0. What is q*t(i) + 2*r(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44095 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*y + y - 3*y)*(-4 + 1 + 1) - 11554*y + 32 + 11553*y + 12)*(-1 + 1 + 2*y) to the form z + o*y + v*y**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k - 8. Let p be o(13). Suppose n - p = -2*n + y, 0 = -3*n + 3*y + 60. Suppose 4*c + n = 81. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 - 77. Let g(k) = -2*k**2 - 26. Suppose -2402*y + 176 = -2380*y. What is y*g(r) - 3*p(r)?\nAnswer: -r**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**2 - t**3 + 1 - 3 - 10*t**2 + 4 to j + b*t**3 + f*t + p*t**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/5)*h**(2\/7) assuming h is positive.\nAnswer: h**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 155 (b) -3\/4 (c) -0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 21*o**2 + 2*o + 33. Let i be y(21). Let l = 0 + 4. Suppose l*u - 60 = -0*u. What is the greatest common factor of u and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*p**2 + 623 - 623.\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820456901?\nAnswer: 11, 71, 199, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246*w**6 + 3635*w**3 - 2539*w**2 - 643 wrt w.\nAnswer: 29520*w**3 + 21810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 15*k**2 - 46*k - 117. Let z be h(-12). Let c be (-1)\/(-2) + 2\/(-2). Sort 2, c, z, -1.7 in ascending order.\nAnswer: -1.7, c, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 1:07 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:22 PM?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/52 - (2 - (-71)\/(-39)). What is the fourth biggest value in 0, -2\/11, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9208 + 14579. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*n**3 + 123*n + 184 + 0*n**5 - 2*n**5 - 146*n**3 - 185 + 5*n**3 wrt n?\nAnswer: -40*n**3 - 1062*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 8*w + 140. Let t be b(6). Does t = 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m - 10*m - 6*m + (3 - 5 + 4)*(-2*m + 5*m - m) + 0 + m + 0 + 0*m + m + 0*m + m - 3*m + 0*m - m - 3*m + 2*m.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 4*n + 68 = -4*b, 0 = -5*b - 5*n + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/3 + 286*s + 61347 = 0?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*m - 375*m = -17646 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-16)*j**13*j\/(j*j**(-5)*j))**11 assuming j is positive.\nAnswer: j**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 5*t + 2. Let x(a) = -6*a**2 - 5*a + 1. Let q(g) = -5*o(g) + 6*x(g). Let j be q(-3). Solve 0*s - 14 = -4*u - j*s, -2*s = u - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1113)\/24 + (-27)\/(-72). Let a be ((-48)\/28)\/6 - z\/14. Suppose -a*t + 111 = 12. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056451 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 + 8*z + 8. Suppose -4*t = -2*t - 14. Let d(r) = 5*r**2 + 4*r + 4. Let c(j) = t*d(j) - 4*w(j). Determine q, given that c(q) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.8? (a) -0.1 (b) -1\/8 (c) -1\/3 (d) -11 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.00000012 - -16. Round w to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:05 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*g**2 - 609*g**2 + 145*g**2 + 159*g**2 + 3*g**3 + 154*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*d - 12 = -82*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -2\/3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.7 + -0.7. Let k = a + -7.6. Let z be (-1 + 10\/9)*-1. What is the second smallest value in 1\/4, k, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 28*h + 17*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89.9 - -98.9. Which is the closest to -1\/3? (a) w (b) 0.7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 11*s**2 + 6*s + 218. Let d be h(-12). Solve -20 = 5*v - 5*l, -7*v + d*v + 2*l = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6, 11, -2, 1, -3 in increasing order.\nAnswer: -11, -6, -3, -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Is i\/(3\/(-2)) + 211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6 and -7\/555.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 52881410 to the nearest ten thousand.\nAnswer: 52880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/15)*a)\/a*a*a**(-9))\/((a**8*a)\/(a**(3\/2)*a))*(a**(2\/7)*a*a**(2\/17)\/a)**(-2\/59) assuming a is positive.\nAnswer: a**(-3071057\/210630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160852.\nAnswer: 2, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -57122762*i**2. Let t(z) = -3*z**2. What is t(d(p))?\nAnswer: -9789029815525932*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6161401273 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 415*x**4 - 272*x**3 + 1368015*x**2 wrt x.\nAnswer: 9960*x - 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - g - 19. Let c be i(6). Let w = c - 43. Calculate the remainder when 119 is divided by w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.063 and -1221.3.\nAnswer: -76.9419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 7*i - 5. Let j = 0 + -5. Let s be k(j). Suppose -3*a - 212 = -s*y + 234, -9 = -3*a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r + 106*r - 19*r - 20*r - 29*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjnjnnnjmmmjnnm. Give prob of sequence nnnj.\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 + 0.2. Let s = -0.12 + d. Let l = 0.18 - s. What is l rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**3 - 6*d**4 - 2*d**3 + 4*d**4 + 3*d)*(-6 + 3 + 5) + d**4 - 3*d**4 + 0*d**4 as r*d + p*d**4 + y*d**2 + b + l*d**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116729305453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 10101010010110111?\nAnswer: -10101010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-60)\/18) + ((-338)\/3718 - (-982)\/33)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m*((m\/m**(-2)*m)\/m)\/m)**(-24) assuming m is positive.\nAnswer: m**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 5*r**2 + 2*r**2 + 0*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -0.10131463?\nAnswer: 0.60131463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 5*j - 5. Let o be y(4). Let l = 8 + -5. Let k be (-312)\/(-3952)*12\/9. Which is the biggest value? (a) o (b) l (c) k (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*k**2*o + 521236*k**2 + 2*k*o + 18*k + 4*o - 6916 wrt k.\nAnswer: -424*o + 1042472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6273995446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 62 (b) 12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26642 is divided by 117?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*x + 4524 = -99*x. What is the highest common divisor of 228 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-12)\/(-4)) + -29. Let u = f - -26. Put u, -1, -2 in decreasing order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuccccc. What is prob of picking 1 u and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/6 - 4*s + 6. Suppose -5*r + 5*l = 0, -r = -3*l + 1 + 1. Let j(f) = -2. What is r*k(h) - j(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 498 + 2426 - 980 + 2427.\nAnswer: -h + 4371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -32*y**4\/5 - 92*y**3 + 824*y**2\/5 - 28*y - 192\/5 = 0.\nAnswer: -16, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 - 172*a**2\/7 + 174*a\/7.\nAnswer: -2*a*(a - 1)*(a + 87)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/30 - (-1)\/3. Suppose 0 = 5*m + t*g + 219 - 16, 2*m + g = -82. Let x = 47 + m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 449193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/67*80\/(-192).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)*d**0)**(1\/25) assuming d is positive.\nAnswer: d**(-11\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 30*o**2 - 11*o - 6. Let x(r) = -253*r**2 + 90*r + 48. Let i(q) = 17*l(q) + 2*x(q). Calculate i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -104414, -108424, -112434, -116444, -120454?\n\"Answer: -4010*c - 100404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**2 - 7*l**2 + 0*l**2 as v*l + x*l**2 + s and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7938664 - 1952914205\/246. Let t = -142\/41 - f. Is t at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 5*f + 5. Let j be b(-6). Let h = -6.7 + 7. Let t = h + -0.2. What is the nearest to j in -2\/3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*4\/(-8)*12. Let y = l + 26. Does 4 divide y\/(-7) + (-860)\/(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.95 - 3.95. Which is the nearest to -0.1? (a) 0 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 - -349 - (16 + -61).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (24 - -11) - 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132014426 divided by 2?\nAnswer: -66007213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 9 + 12. Let x(k) = -6*k**2 + 11*k - 4*k + 279 - 295. Let l(n) = 2*n**2 - 2*n + 5. Determine j*l(c) - 2*x(c).\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-9)*((-324)\/(-45) + -6). Sort -3, -9, i, -2, 4 in decreasing order.\nAnswer: 4, -2, -3, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820 - 458*v**2 + 190 + 915*v**2 - 470*v**2.\nAnswer: -13*v**2 - 630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712754 divided by 16.\nAnswer: 356377\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2156308682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61 - -111?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 311 = 144. Suppose 3722 = -m*y + 11*y. What is y rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/9*2475\/22. Calculate the highest common divisor of y and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -3018, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4433, 18171, 41205, 73535, 115161, 166083, 226301?\nAnswer: 295815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 841 - 108. Suppose -601 = w*x - 734*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110, 306, 632, 1088, 1674, 2390, 3236?\n\"Answer: 65*p**2 + p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 908\/3178 - 52288\/(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/(11\/4 - 2). Suppose 10*y - 7*y - w = 0. Suppose -35 - y = -m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**5 + 255*g**2 + g**4 - 2*g**5 - 274*g**2 wrt g.\nAnswer: 60*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1106\/15 + -1096\/15. Factor g*a**5 + 18*a**3 + 0 + 18*a**2 + 0*a + 6*a**4.\nAnswer: 2*a**2*(a + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 154*r**2 - 4473*r + 201. Calculate q(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 343 - 343 + 12*o to u*o + m and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-670)\/(-18)*92\/28. Let b = o - 797\/7. Calculate the common denominator of b and -32\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9 + 806\/91). Solve 89*a - 68*a = -t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*m - 2833 = 177*m + 3582 + 2633 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2)\/sqrt(3))\/(sqrt(18)\/sqrt(36)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 36*i**3 + i**2 + 45*i + 44. Give o(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2619 and 17\/679.\nAnswer: 18333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 100\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1 - 6 + 4*c + 2*c - 2*c + c**2. Let q be x(2). Suppose -10*t**5 + 3*t**4 + 0*t**3 + 2*t**3 - 3*t**2 + t**3 + q*t**5 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197 bigger than 1888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99.262 - -1.838. Let d = g - 101. Let y = 21 + -14. Put d, y, 2\/11 in decreasing order.\nAnswer: y, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*i + 2*g, 0 = 2*i - 5*g + 17 + 6. Put i, -2, 2 in decreasing order.\nAnswer: 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 397 = 407 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*5*-3*sqrt(2) + -4*-2*sqrt(2) + 4 + sqrt(6)\/sqrt(3))**2.\nAnswer: 1512*sqrt(2) + 14193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 921508 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.466 and 0.83.\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18348 - 10759. What is the remainder when x is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 = -4*o. Let l be o*((-3)\/9 - -1). Which is the nearest to 0? (a) 0.5 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 7*n + 8. Calculate the remainder when p(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4214 = 1431*v - 1517*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcq when four letters picked without replacement from qqqcqqqcq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -4) + (-21)\/1. Let p(r) be the first derivative of 2*r**3 + 7*r**2 + 45*r + 5. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = -2*r + 5*s, 0 = 6*r + s + 810 - 820 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*1)\/sqrt(5))**2 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -63. Which is the second biggest value? (a) 1\/6 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-2 + sqrt(98))*-3 + 0 + -3)*-3)**2.\nAnswer: -1134*sqrt(2) + 8014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 - -104114303?\nAnswer: 104120103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5141 and 21\/9593.\nAnswer: 930521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 4*r**3 - 5*r**2 - 15 + 17 to the form o*r + l*r**3 + f + v*r**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyky. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31829, 31802, 31755, 31682, 31577, 31434?\n\"Answer: -t**3 - 4*t**2 - 8*t + 31842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 6*n**4 - 3*n**4)*(-5 + 5 + 4*n).\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/9 (c) -2 (d) -935\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(5\/(-350)). Let n = z - 21. Solve -n*j - 12 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18558588)\/14*(4 + 3). Suppose 2*t = u + 2420716, -4*u - 9682844 = 2*t - 6*t. Let b = u + n. What is b rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348364 and 1219274?\nAnswer: 2438548","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 1 e when three letters picked without replacement from epaayeeepeyep.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*l - 3. Suppose -l = -h + j, -j = h + 2*j. Suppose h*r = 3*r. Solve -5*k = -r*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x + 3240 = -49*x - 231*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2 = 2*r. Suppose 2*z - 15 = g + 2*g, g - z = -6. Suppose -6*a + 117 = 87. Sort r, g, a in decreasing order.\nAnswer: a, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85.896 + -86. Let p = l - 0.396. Let w = 0.3 - 5.3. Put w, p, -0.04 in increasing order.\nAnswer: w, p, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 152 (b) 3 (c) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1051802 + 12630931\/12. Let q = y - 788. Calculate the common denominator of -29\/12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -23. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37992 at most -37992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-6))\/(5\/(60\/(-6)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16 = -2. List the prime factors of (-1)\/7 - (-141)\/d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2.9 (c) -2 (d) -8605.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257642.775 milliseconds to days.\nAnswer: 0.0029819765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18 and 127\/1820.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-9))\/(4\/(-12)). Suppose -8*g = -b*g. Solve -3*f - 4 = s, -2*s + g*s - 5*f - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 111*k**2 - 54*k + 6363. Calculate g(111).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 191 divided by -5709\nAnswer: -191\/5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9 + 5*w - 16 + 7. Let z(u) be the second derivative of u**4\/12 - 2*u. Calculate q(z(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -12*v - 108*v + 610 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2068492062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*y + 56, -5*y = -l - 6 - 1. Let u = -127 - -186. Let d = l + u. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 172 = 158 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {x: 2, s: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2710 is divided by 517.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -262\/3. Suppose -4*l = -3*x - 25, -4*l = -2*x + x - 19. What is the nearest to -4 in k, 0.2, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 21. Let o be (84*47)\/(c\/(-32)). Let p = 59944 + o. Round p to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*i - 1 - 227, 1182 = -5*y - 4*i. Let d = -230 - y. Calculate the greatest common factor of d and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*o = 147, -4*u = o - 14 - 194. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.7 * -16.2.\nAnswer: 173.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75770572\/33 + 2295893. Let t = 185 + r. Is t bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-6))\/((-10)\/15). Let r = -1 + 3. Find the third derivative of -r + 2 - x**4 + p*x**2 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102011 + 22333122?\nAnswer: 22231111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 126*o + 236. Determine f(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -17 - -2073 - (-52)\/4?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695712 is divided by 379?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*r + 7185 = -42075, 98522 = 4*o - 5*r. What is the greatest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**4 + 3*i**3 + 3*i - 10. Let s(c) = -5*c**4 + 2*c**3 + 2*c - 11. Let l(k) = 2*j(k) - 3*s(k). Differentiate l(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.89 - 27. Let o = -4.11 - g. Let s = 5 - 22\/5. What is the third biggest value in -4\/3, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y**2 + y)*(y - 2*y + 5*y) + 46*y**2 - 2*y + 6*y**3 - 46*y**2.\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 10. Let t = -11 + l. Does t = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1938)\/42959*(-4)\/(-12)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiyyxyywxiqxyyi. What is prob of picking 3 x?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18660?\nAnswer: 2, 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285217 and 10258.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + 2*p**2 - 5*p - 5*p**2. Let c(d) = 3*d**2 - d - 2. Let q(u) = 7*u**2 - 3*u - 5. Let h(a) = -5*c(a) + 2*q(a). Give 2*b(n) - 11*h(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 78*l**2 + 34*l - 554. Determine o(40).\nAnswer: -2394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97.43 - -98. Let z = 0.86 - d. What is the second smallest value in z, -2, 5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/390 + 220*i**4\/39 + 193600*i**3\/39 + 1071*i**2. Solve j(x) = 0.\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21) + 5 + -13 + 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**(-7\/6)*(a\/a**6)\/(a\/a**7) assuming a is positive.\nAnswer: a**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*h - j + 1, -5*h + 4*j - 10 = 0. What is the remainder when (h - 10\/6) + (-3800)\/(-57) is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*u = -20, 0*u = 2*u - 4. Let j be ((-12)\/(-9))\/(n\/9). Suppose 7*z + 95 = 5*c + 3*z, 5*z - 57 = -j*c. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - a**3 - 156*a**4 - 2 + a**3 + a**3 + 154*a**4 to the form y + m*a**4 + i*a**3 + n*a**2 + b*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7079543 is divided by 250?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.9336cm in micrometers?\nAnswer: 4139336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*j**4 + 0 + 3\/7*j + 9\/7*j**3 + 9\/7*j**2.\nAnswer: 3*j*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2076474 * 43\nAnswer: 89288382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3808 and 4464208?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561511431 to the power of 1\/3, to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 22*c**2 + 20*c + 7. What is the units digit of i(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bik when three letters picked without replacement from {i: 2, j: 1, k: 1, b: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 314*x + 171. Let o be n(-78). What is the highest common factor of 280 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 + 744*h\/13 + 67942\/13.\nAnswer: 2*(h + 161)*(h + 211)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2273 is divided by 1090.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5471181.\nAnswer: 3, 607909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 16 = 4*c. Suppose -s + c = -6. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, g: 6, m: 4}. Give prob of picking 1 g, 2 y, and 1 m.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 560\/52957 - -2309488127\/1853495. Let v = g - 385097\/308. Let z = v + 2\/55. Calculate the common denominator of 39\/7 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049 + 48066*b + 1044 - 48069*b.\nAnswer: -3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-78)\/104 - 1\/(-4)) + 9\/10. Which is the nearest to 21\/61? (a) -0.5 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -212011020022?\nAnswer: -212011012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 20*w**2 + 32*w + 103. What is the units digit of u(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 27 - 99*i**2 + 48.\nAnswer: -99*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 5067 + 6572 - 1517.\nAnswer: -3*x**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 5:12 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/3)*c**(-5))\/(c*c\/(c\/(c*((c\/(((c*c**(-2\/7))\/c)\/c))\/c*c*c)\/c*c*c)))**(-2\/77) assuming c is positive.\nAnswer: c**(-956\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4560617 and 5752.\nAnswer: 36484936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 1. Let t be 5\/((-15)\/6) + 1. What is the units digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 3\/(-5))\/2. Let g = 220478 + -1984300\/9. What is the fourth smallest value in 0, g, k, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (41 - 39 - (-56)\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 6. Let d(z) = 3*z + 6. Let u(q) = 4*d(q) - 5*y(q). Find the first derivative of u(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 5*q**3 + (-2*q + 4*q - q)*(-2*q**2 + 5*q**2 - 2*q**2) + q**3 - 15*q**3 - 6*q**3.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 + 6*l - 12. Let i(h) = h**2 + 6. Calculate the smallest common multiple of i(0) and a(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -187\/7 + 1\/7*x**2 - 186\/7*x.\nAnswer: (x - 187)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.147250083 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -604*x**6 + 3690*x**5 - x**3 + 7*x**2 - 1941252*x + 2 wrt x.\nAnswer: -72480*x**3 + 221400*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42196289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2045 and 690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 4 - ((-11 - 13) + 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 17. Let m be o(5). Suppose 2*s - 24 = 6*s + 3*f, -5*s + m*f - 7 = 0. Let a(w) = 8*w. What is a(s)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.4, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, 9.16113, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -763, -757, -739, -703, -643, -553, -427, -259?\n\"Answer: l**3 - l - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 448*n - 3453. Determine r(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259014540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1750199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -735*d**2*f**3*n - 3*d**2*f**3 + 3*d**2*f**2*n - d**2*f**2 - 95*d*f**3 - f**3 with respect to n.\nAnswer: -735*d**2*f**3 + 3*d**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491, -2033, -4619, -8243, -12899, -18581, -25283?\nAnswer: -32999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 - 5) + -3)\/((-3)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2937 = -3*i + 6*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 163 = -5*j, -4*g - 232 = -g - 5*j. Let y = g - -141. Suppose y*i - 759 = 69*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*k**3 - 13*k - k + 120*k**3 - 236*k**3 + 0*k in the form c*k + h*k**2 + l*k**3 + y and give l.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 + -80. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6219*c = -6213*c - 1860. What is the highest common factor of c and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:13 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/875 and 71\/14.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 206*v + 3556. Calculate a(-222).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15) + (-39)\/(-15). Suppose 7 = t + o. Solve -5*y - 3*j = 2, -5*y = t*j - 0 + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) 4 (c) -2 (d) -2.3 (e) 5 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-14*(-11)\/308)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 8. Let k be z(-6). Let q(f) = -f**3 + 5*f**2 + 2. Let n be q(5). Find the second derivative of -6*v + n*v + v**k + 2*v wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 2 x when four letters picked without replacement from {b: 1, n: 4, v: 6, x: 2}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 11944737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b**(-2\/81)\/b*b)\/b)*b\/((b*b\/(b*b**(6\/11)))\/b)*b**(-10\/3)\/b**(-3\/5) assuming b is positive.\nAnswer: b**(-727\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 22*h + 442. Give m(11).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 283 + 338 = 4*c, 3*f + c = 612. Suppose r - f = 299. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 0 + 4*k + 6.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 - 951416*x**3 + 12*x**2 - 49446496*x wrt x.\nAnswer: 40*x**3 - 5708496*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, -4, 1, -5, -375\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19\/4 (b) -2 (c) 1 (d) 5 (e) -1346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 20. Determine b(-18).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8184 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Let r(w) = b*w + 5*w - w - 4*w. Let x(l) = -2*l**2. What is x(r(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17457331 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v*v**0)\/((((v**(-3\/5)*v)\/v*v*v)\/v)\/(v\/v**(-1\/4)))*(v**(1\/4))**(2\/5)*(v**(-1)\/v)\/v**(-2\/7) assuming v is positive.\nAnswer: v**(453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/335, 3\/7, -168019, 0.4?\nAnswer: -168019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 6*o - 6. Let u be (1 - (5 - 3))\/(2\/8). Let i be w(u). Suppose i*p = -0*p + 8. Solve 0 = -p*a + 2*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97.7 - 96.9154. What is a rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 - 281. Let h(f) = -f**4 + 31*f**3 - 5*f**2 - 24*f. Let t(c) = c**3 + c**2. Let r(m) = v*h(m) - 5*t(m). Find the second derivative of r(a) wrt a.\nAnswer: 12*a**2 - 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6689, -13382, -20075?\n\"Answer: -6693*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 810 - 790. Suppose -5*z = -3*a + 10, 0*z + z + 2 = -a. Which is bigger: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.02 - -3. Let k = j - -0.02. What is the third smallest value in -4, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*z = -5*z - 36, 4*j = 5*z + 47. Let b = 8 - j. Suppose 4*i + 6 = -10. Put i, b, 1 in decreasing order.\nAnswer: 1, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 69*u + 228.\nAnswer: 3*(u + 4)*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 434*m + 2145.\nAnswer: (m + 5)*(m + 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let n be c + 3*(-20)\/(-12). Suppose 0 = 5*r - d - 3*d - 88, -2*r + 3*d = -31. What is the highest common divisor of n and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 0*g = 3*t + 25, 5*g - 23 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10001, 9866, 9731, 9596, 9461, 9326?\n\"Answer: -135*w + 10136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/11, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -234774*a. Let m(z) = -2*z. Calculate m(h(x)).\nAnswer: 469548*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6255484 is divided by 179.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.8, 52, 15, -0.3, -2\/57, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2 (c) 0.4 (d) 58 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552898 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16812 - 16234. What is the highest common divisor of t and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 50323120?\nAnswer: -50323113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 833235\/182 + -15. Suppose -22821 = 5*w + 2*l, 5*w + 0*w + l = -22823. Let x = w + t. What is the common denominator of 16\/9 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*o + 6 = -7, 0 = -4*s - 3*o - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1616.355133 rounded to 1 decimal place?\nAnswer: -1616.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-10))\/3)\/(42\/56)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80673797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.31727 less than -35883?\nAnswer: -36288.31727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1)**(-17\/6)*y*y**(-1\/8)*y\/y**(-1))**(-12) assuming y is positive.\nAnswer: y**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3836\/5 - -42206\/55. What is the second smallest value in l, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 36 = 108 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let y(r) = -2*r**2 - 4*r. Let n(f) = -4*t(f) - y(f). Let p(k) = 4*k**2. Calculate n(p(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 - 4 = 0. Solve 5 = -3*u - y*f - 1, 2*u - f + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480211927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 7*j**2 - 7*j. Let u be 1\/((-2)\/16*-2). Let o be 64\/(-12) - u\/6. Calculate the lowest common multiple of v(o) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r - 9 = -x, -5*x = 5*r - 25. Suppose -4*s = 2*f - 22, f = r*s - 0*f - 13. Suppose s*b = -2*d + 38, 7*d - 20 = 3*d. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h + 1. Let x(a) = -2*a**3 + a + 1. What is r(o) - x(o)?\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 39 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24044871 (base 9) to base 14\nAnswer: -17b19d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3\/(-177)*1). Suppose -3*q - 3*c = -145 - m, -272 = -4*q + c. Let k = 72 - q. Sort -1, 3\/7, k.\nAnswer: -1, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ukkkukkkk?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.2 - -31.3. Put u, -2, -11\/5 in increasing order.\nAnswer: -11\/5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m + 4. Let q be n(-5). Find j, given that -3 + 0*j + 2*j**4 + q*j + 10*j**3 + 5 + 18*j**2 + 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26 - 4 - 24*p**3 - 19*p**2 + 2 - 11*p**2 - 2. Let b(d) = -d**3 - d**2 - 1. What is -60*b(l) + 2*w(l)?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3156, 12592, 28308, 50304, 78580?\nAnswer: 113136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 27356 - 17507 = 1245*j + 13097 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*(-42)\/105.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-2)\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.66 rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1151*m**2. Let f(h) = 17923*h**2. Give q(f(v)).\nAnswer: -369740252279*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007 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: Is 678793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6410)\/(-1282))\/((-480)\/(-18)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -2*w - 143. Let v(y) be the third derivative of 0*y + 1\/90*y**5 + w*y**2 + 1\/9*y**3 + 0 - 1\/18*y**4. Determine l so that v(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1438860 - 4?\nAnswer: -1438864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 579*j + 1153*j - 574*j + 20*j**3 + 3*j**2 + 9*j**3 to the form b*j**3 + z + c*j + i*j**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.64 - -2.14. Let j = -2.4 + -1.6. Which is the nearest to -0.4? (a) -2\/5 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 9*c - 10. Let m be p(-2). Let r = -12 + 15. What is the highest common factor of m and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50 - -43)\/((-7)\/2). Find the first derivative of 119 + 4620*s**3 + 43*s**2 - 4620*s**3 + f*s**4 wrt s.\nAnswer: 8*s**3 + 86*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 610 + 634 = -4*r - m, -3*r + 6*m - 28 = 2*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**8\/35 + 62*v**7\/525 - 3*v**6\/10 - 7*v**5\/5 - 47*v**4\/30 - 4*v**3\/5 + 2*v**2 - 8*v. Solve m(u) = 0.\nAnswer: -3, -1, -1\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + 1*sqrt(17) + 2 - sqrt(1700)*1*-4)**2.\nAnswer: 252*sqrt(17) + 29997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j - 17*j + 111031 = 112067 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38027552 - 0?\nAnswer: -38027552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29181, -0.1, -105, -4?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 91. Let d(g) = 6*g + 117. Let b(c) = 7*d(c) - 9*n(c). Let m(j) = -j**2 + 9*j + 1. Calculate b(m(r)).\nAnswer: 3*r**2 - 27*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 95, -5, -153, -337, -545?\n\"Answer: 2*r**3 - 36*r**2 - 6*r + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7b77c (base 13) in base 6?\nAnswer: -244154452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1687 smaller than -453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 6*x + 8. Let s be n(-7). Solve s = 2*h - 7*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(17) + (sqrt(17) + sqrt(17) + 0 - sqrt(17)))) + 0 + 4)*2 + -3)**2.\nAnswer: -20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268 + 1097\/4. Let g(u) = -u**3 - 6*u**2 + 7*u + 6. Let v be g(-6). Find the common denominator of (-205)\/v*6\/15 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, n: 7}. Give prob of picking 1 n and 1 p.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 100, -2, 46.\nAnswer: -33, -2, 46, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -157*m + 923. Calculate the remainder when f(4) is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -30 (base 11) to base 9\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 2*h**2 + 24088*h - 24088*h - 15 as w*h + f + i*h**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -67 - 60 - 68*a**2 - 16*a + 73 + 634*a = 0. Calculate a.\nAnswer: 3\/34, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.0424, -1, 15?\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p - 3. Let a be g(-3). Let l = 6 + a. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4617905 or -4617906?\nAnswer: -4617906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*l**5 + 731*l**4*s**3 - l*s**3 - 2*l*s - s**3 - 15 wrt l?\nAnswer: 440*l**3 + 8772*l**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from sbnnmsbbsw.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 8*j + 30. Let m = -32 - -37. Suppose -7*h = -m*h - 14. Is j equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -336206, -672413, -1008610, -1344791, -1680950?\n\"Answer: t**3 - t**2 - 336211*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195.62 + -189. Let b = n - 7.387. Round b to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11660?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5842*b. Let t(o) = 61*o**2. Determine t(k(u)).\nAnswer: 2081866804*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-124)\/(-24) + (-2)\/12. Let f(r) be the third derivative of 13*r**5\/60 - r**4\/24 - r**3\/2 + 32*r**2. Is f(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 499977664 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010065 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 21 = -2*b, -9*a - 86993 = -b - 86984 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 22 = 0. Let m = l - 1. Is 3 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10411\/30 + -341. Calculate the common denominator of -37\/140 and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098374 to four decimal places.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1000 and -29\/24928600.\nAnswer: 124643000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 13700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222222 (base 3) in base 16?\nAnswer: 2d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g - 185. Let d be r(12). Let x(c) = -d*c**2 - 25*c**2 - c**2 + 0*c**2 + 0*c**2. Let b(z) = 6*z**2. Calculate b(x(u)).\nAnswer: 6534*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149890.\nAnswer: 2, 5, 13, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 361010 and 637?\nAnswer: 17689490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*k**2 - 198*k**2 + 419*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -426\nAnswer: -2982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52513759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 955, 428, -1339, -4760?\nAnswer: -10249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*f - 105 = 0, 15*f = -2*r + 16*f + 21 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6\/11)*l)\/(l*l**(-2\/21)*l)*(l*l**0\/l)**(-7\/8) assuming l is positive.\nAnswer: l**(-104\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 6*y - 216 = -y - 136, j - 2*y = 2*j - 4 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (25059 + 140 - 4781 + 11541 + 6625)*(3*w + w - 2*w) in the form o + i*w and give i.\nAnswer: 77168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/2 - 149\/14. Is w at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:33 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 4*x. Suppose -5*a = -10 - 15. Suppose -a*u + 10 = -5. Give o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 2827.\nAnswer: -3, -2\/3, 2827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5 - 9. What is the units digit of (-180)\/(-42) + g\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-7)\/((-42)\/36)*-1 + 22). Solve i*n = 17*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -852712.3 rounded to the nearest 100?\nAnswer: -852700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(20\/45)*(-2)\/(-3). Solve -11 = -5*u + j, -k*u - 4*j + 1 = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 2*x - 18. Let u(a) = -a**2 + 3*a - 17. Let i(s) = -3*d(s) + 2*u(s). What are the prime factors of i(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -897, -714, -531?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(30) - sqrt(120)\/sqrt(4))\/sqrt(10) - ((1*sqrt(3) - sqrt(3))*-6 + (sqrt(192) - 2*sqrt(192)))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6719159 rounded to 3 decimal places?\nAnswer: 4.672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278213241 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80) + sqrt(80)*-2*6 + -4*(sqrt(80) + sqrt(80) + (sqrt(80) - 1*sqrt(80))) + -5 + sqrt(60)\/sqrt(3) + -4))**2.\nAnswer: 21312*sqrt(5) + 439376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 63 = -5*f, 2*q = 5*f - 29. Let g = q - -18. Which is the nearest to 2? (a) -1 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8315b0 (base 13) to base 14\nAnswer: 598c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2052) - (sqrt(2052) - (-3*sqrt(2052) + sqrt(2052) - sqrt(2052))))\/(sqrt(3) + -4*sqrt(9)\/sqrt(3)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 (base 9) in base 12?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-1\/8))**(-21)\/(x*x*x**(-3\/2)*x*x**(-6))**27 assuming x is positive.\nAnswer: x**(951\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 4*w - 10*w**2 + 10*w - w**3 - w + 3. Let m be j(-11). Solve 0 = -m*l - 6, n + 4 = -4*n + 3*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + 1 + 4)) + sqrt(175) + (4 + 2*sqrt(175))**2)*-3.\nAnswer: -2133 - 255*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 less than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - 21*g + 116. Give f(5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-4)*3\/((-12)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/23? (a) -18 (b) 3 (c) -2\/7 (d) -4\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -20940.\nAnswer: 3\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9781 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.051 - -7.151. Let z = 1.85 - 21.95. Let u = z + i. Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 + -2)\/1. Let h be ((-36)\/(-10))\/((-6)\/(-20)). Suppose -42 = 26*i - h*i. What is the third smallest value in y, i, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18*15444\/(-2288).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480\/672)\/((-2)\/7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74 - 31123?\nAnswer: -31049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.356 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50857, 204169, 459689, 817417, 1277353?\n\"Answer: 51104*p**2 - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/(-48))\/(-13)*152\/(-38).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 41*j**2 - 36*j - 160. List the prime factors of g(27).\nAnswer: 2, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*d - 2*d - 7, 0 = d + 5*b + 13. Let v(s) = -s**d + 3*s - 9 + 5 + 3. Suppose -t = 2*f + 4, 0*f - 20 = 5*f. What is v(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x - 59 - 58 = 0. Which is the second smallest value? (a) 0.4 (b) -1.69 (c) x (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -40*y + 25*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 19*x**2 + 15*x + 13. Let s(h) = h**3 + 6*h**2 + 5*h + 4. Let w = -128 - -130. Let o(f) = w*d(f) - 7*s(f). Give o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 11061*z**3 + 51 - 135 + 49.\nAnswer: 11061*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let x(a) = -1528 - 1396*a + 471*a + 467*a + 460*a. Calculate x(h(i)).\nAnswer: 2*i - 1528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d54 (base 16) in base 4?\nAnswer: 101311110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 550504.6t in grams?\nAnswer: 550504600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8127478 millennia to months.\nAnswer: 9752.9736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 45 - 27 = 0. Suppose -33*n - 3*c - 110 = -29*n, -3*n - 86 = 4*c. Let w = n - r. What is the smallest common multiple of 4 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.03105188 rounded to two dps?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*t - 1 = -6*t, 4*t = -5*s + 90. Suppose -4*x - s = -5*x. What is the greatest common factor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325805950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 25 = l, 0*l = -n - 5*l + 15. Let h = -2 - n. Let w = 3 + h. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 4, r: 6}. Give prob of sequence xxp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -196, -19\/6, -0.4, 2\/3, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((1064\/(-35))\/(-8) + -4)*-7. What is the smallest value in -6, u, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(384)*-2 + -6*(-1*sqrt(384) - sqrt(384)) + sqrt(384))\/(3*sqrt(288)*-6*5))**2.\nAnswer: 121\/6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-24 + 3)) + -27 + 11 + -79 + 2\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let m(g) = -g + 2. Let v(l) = -22. Let j(w) = 22*m(w) + 2*v(w). Calculate j(u(r)).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Let v be h + -2 + -2 + 9800003. Round v to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 184, 574 in decreasing order.\nAnswer: 574, 184, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 521116*m**2. Let p(l) = 5*l. What is p(g(j))?\nAnswer: 2605580*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56929290 and 14520.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2)*1*-2. Let g(w) = w**2 + 3*w - 67. Let b be g(-10). Find the second derivative of -f*n + 7*n**4 - b*n + n wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/3))\/t)**2\/(t**(-2\/3))**(-42) assuming t is positive.\nAnswer: t**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 2*u - 2. Let f be x(3). Let v = -13 - -11. Let p be ((-53)\/(-1) - v)*2. What is the highest common divisor of f and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2991*t**4 + 56*t**3 - 4*t - 3423. Let v(a) = 2991*a**4 + 70*a**3 - 5*a - 3424. Let s(k) = 5*j(k) - 4*v(k). What is the derivative of s(d) wrt d?\nAnswer: 11964*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -88. Let k(q) = -q - 7. Calculate k(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 7.7702?\nAnswer: 0.077702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -10, 0.2, -1.481?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 650 (b) -1 (c) -18 (d) 2\/13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(121) - sqrt(121)))\/sqrt(11).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 36.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1174, 2345, 3516, 4687, 5858?\n\"Answer: 1171*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 870630790 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 3. Give p(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 + 5*z - 2. Let u be q(3). Suppose -4 - 2 = 3*a. Let i be 0 - (-1)\/a - 9\/(-2). Solve -3*h = -3*x, i*h + 2 + u = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 14) in base 12?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 2. Let l(w) = 229*w**2 - 7*w + 10. Determine -4*a(p) - l(p).\nAnswer: -229*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 681\/10. Let j = w - 3\/5. Let n = j - 2. Which is the second biggest value? (a) n (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phemghp. What is prob of sequence pp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 43 - 43)*(0 + 0 - 3)*(3 - 3 + 2)*(-4 + 0 + 11).\nAnswer: -84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81492 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 1, p: 1, w: 3, x: 1, z: 4}. What is prob of picking 1 f, 1 w, and 1 y?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513680 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14628469?\nAnswer: 14628469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f - 5. Let n be z(6). Suppose 3*s + 3*u = 0, 4*u + n = 3*s - 8*s. Let j be (s\/(-3))\/((-2)\/(-12)). Sort -2, j, 0 in ascending order.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 1. Let h = 104 + -115. Let q(w) = -20*w - 6. Let z = 388 + -386. Calculate h*o(j) + z*q(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 763 and 111071?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -20*a**3 + a**2 + 10*a + 3. Let q be y(-6). Let i = -14899 + q. Round i to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14100 (base 7) to base 16.\nAnswer: eee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316267875?\nAnswer: 3, 5, 7, 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*i + u - 6*u, 2*u + 2 = 0. Calculate the greatest common factor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let t(w) = -w + 7. Let l(u) = 5*c(u) + t(u). Let j(z) = 5*z - 6. Let h = 284 + -278. Determine h*l(b) + 7*j(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 9798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + r - 5. Let n = -36 + 31. Let m(w) = w**2 + 4*w - 5. Let b be m(n). What is j(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1251 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-5)\/30). Suppose q + q - 70 = -3*g, 0 = h*g - 5*q - 55. Calculate the lowest common multiple of 8 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 308 = 3*o, -3*d + d - 5*o - 154 = 0. Let q = -77 - d. Solve q*u + u**2 + 0 - 1\/2*u**3 = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 34*t - 33. Suppose -60 = 4*y + 4*f, 2*y + 14 + 12 = 2*f. What are the prime factors of u(y)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 216 - 215. Let j = -12 + 9.2. Let m = 3 + j. Put -1, m, a in descending order.\nAnswer: a, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -486*b - 11*b - 7952 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert c32d7 (base 14) to base 9.\nAnswer: 785405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046121 to three decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -11. Let r = t + -45. Which is greater: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*v - 1206*v + 4815*v - 1200*v - 1194*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzsy when four letters picked without replacement from yzyspssyzyzyysyyssy?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saaasnaansassssa. Give prob of picking 1 n and 1 s.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-3*sqrt(3)*-6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 21*s - 80. Let y = s - 24. Let w be ((-5)\/(-5))\/((3\/y)\/(-3)). 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 the biggest value in 219, -3, 0?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 308662 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 take away -445?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 345*f + 2493 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1abb63 (base 12) in base 2?\nAnswer: 1110100011010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466091?\nAnswer: 466091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 2*v - 4. Let n be d(4). Let q = -0.02 + 5.02. Let m = q + -5. What is the nearest to m in n, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q)*(-1 - 2*q + 1)*(8*q + 397 - 397).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (78 - (-2 + 1))\/1. Let k = a + -73. Suppose 4*n - k*n + 79 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(459))\/sqrt(3) + 5 + ((sqrt(68)\/sqrt(4)*-1)**2 - ((2*sqrt(17))**2 + -5)).\nAnswer: -41 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 163, -0.4, 556, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/4)\/4)\/(2*-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(176) + (sqrt(176) - -2*sqrt(176)))*-2 + (sqrt(396) + 1)*-5 + (-5*(sqrt(121) - sqrt(121)*1))\/sqrt(11))**2.\nAnswer: 6060*sqrt(11) + 4039621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n - n. Let h(v) = 3*v**3 - 2*v**2 - 4*v + 4. What is the remainder when 46 is divided by h(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-3 - (-26)\/6). Suppose 0 = -s*x + 80 + 8. What is the remainder when 84 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*x - 4589 = 4400 + 9584 + 3987 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.628 (c) -4 (d) -361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 80\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l - 0. Let z = 1043\/18 + -115\/2. Let q = -0.2 + 1.2. Put l, z, q in decreasing order.\nAnswer: q, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281669 * 0.1.\nAnswer: -28166.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45891, 44598, 43307, 42018, 40731, 39446?\nAnswer: 38163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-414)\/(-345))\/(4\/(-14) - 12\/840))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 230\/72)*183\/(-610) and 107\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4719 = -350*x - 657 + 1888 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 6. Let r be w(-5). Let u be 1084\/(-8) + (-2)\/r. Let j = u + 198. Round j to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4695 a factor of 1724846482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13831859, -13831858, -13831857?\n\"Answer: b - 13831860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 6957*x**2\/2 + 10888*x - 2534. What is the derivative of c(w) wrt w?\nAnswer: 6957","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/(2\/4). Let h be ((-2)\/2)\/(c\/(-11)). Which is smaller: h or -10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g - 230 = 0. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 - 1. Let o be z(-6). Let d = o - 40. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 8:04 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c. Let r(u) be the first derivative of -u**2\/2 - 9. Give m(r(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 3*l + 4. Suppose 0 = -q - 3 - 0. Let w be t(q). Let s = -5 - -5. Solve 2*n + 3*k + 1 - 20 = 0, -n - w*k + 22 = s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8975 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28815 + 28812. Let c be 1\/2*4\/(-2). What is the nearest to -6 in -2, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 22. Suppose j + 19 = -i. Let f be 6 - (-256)\/j - (-312)\/805. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.05536.\nAnswer: 0.2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 147 - 93 = 0. Suppose 0 = -2*m + 5*m - f. Suppose t + 11 - m = 0. Calculate the remainder when 19 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/27 (b) 3\/5 (c) 1\/379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58844688.03 rounded to the nearest 1000?\nAnswer: -58845000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13241 + 0?\nAnswer: -13241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120813511 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*l - 1303 = 1817. What is the greatest common divisor of l and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/(n**(-13)*n)*n))\/n**(-16\/7)*(n*n\/n**(9\/4))**(-19) assuming n is positive.\nAnswer: n**(-223\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0 + 5\/8*n**4 + 1\/20*n**5 + 0*n**3 + 18*n**2 - 17*n. Let r(i) be the first derivative of g(i). Let r(x) = 0. What is x?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -339 + 339.4. Which is the third smallest value? (a) u (b) -2\/11 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 4 - 2 + 2 + j**2 - 1. Let d be c(-3). Solve -4*h = -5*s - 1, 0 = -d*s - h - 9 + 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 24, -1\/8, -11.\nAnswer: -11, -5, -1, -1\/8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.248852029?\nAnswer: 2.248852029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4467, 8080, 11709, 15366, 19063, 22812?\n\"Answer: 2*b**3 - 4*b**2 + 3611*b + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-16\/9)*l**(14\/3)*l assuming l is positive.\nAnswer: l**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**4\/6 + 2*d**3\/3 - 15*d**2. Calculate a(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 14. Suppose -75 = -o*v - 15. What is the least common multiple of v and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86237 (base 9) to base 14.\nAnswer: 16b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from {q: 13, k: 5}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + -4. Let s = g + 40. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l + 6. Let a = -11 + 7. Let v be f(a). Let y be (6\/9)\/(20\/150). Solve -2*h + k + 8 = -k, y*h + v = -k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 40*v - 33. List the prime factors of l(-16).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/(-7) - (-9 - 2). Find the third derivative of 2358*j**4 - 2358*j**4 - 10*j**t + 77*j**5 - 136*j**2 wrt j.\nAnswer: 4020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.089 - -0.311. Which is the third biggest value? (a) 27 (b) q (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-18))\/((-172)\/(-65790)*-85)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 26*c - 1728 = 0. Is 10\/(-3)*(-18504)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 2. Let j(d) = -11. Let v(a) = -9. Let c(k) = -4*j(k) + 5*v(k). Determine -4*c(g) - 2*m(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 2*a**2 - 14*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/r**(-32)))\/r*r)\/(r\/r**(-15\/2))*r\/r**(-35)*r*r**(1\/16)\/r*r)**10 assuming r is positive.\nAnswer: r**(-195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*3\/27*-15. What is the hundreds digit of 634 - 0\/2 - 2 - t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1603 and 23\/6.\nAnswer: 9618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(576)\/sqrt(3)*1 + 3).\nAnswer: 6 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3449 = 19. Let x = -474 + p. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040345 plus -393562?\nAnswer: -393562.040345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + w - 208, -5*d - 5*w + 0*w + 245 = 0. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u + 3 - 5*u - 2*u)*(8 - 2 - 2) as i*u + p and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1101101101100010010111000?\nAnswer: 1101101101100010010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 2*y - 10, g - 17 = -4*y. Let n(k) = 0*k**2 - 4*k + 6*k**2 - k - 3*k**2 - y. Calculate the remainder when n(-4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - f**3 + 0*f**3 + (9*f - 4*f + 7*f)*(2*f**2 + 0*f**2 + 0*f**2) + 2*f**2 + f**3 + 12 - 12 in the form y*f + n*f**3 + m*f**2 + x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -3*r + 5*q + 685, -308 = -2*r - 5*q. List the prime factors of r.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*v**4 - 1016988*q*v**2 + 52140*q*v - 2*v**3 + 9*v wrt v?\nAnswer: -24*q*v**2 - 2033976*q - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 - (-5 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijdjd. Give prob of picking 2 d and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -761. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, r: 3, n: 1, i: 1, z: 4}. What is prob of picking 3 z and 1 r?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19912 - -19886. Which is bigger: -41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from tppt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 - 624566?\nAnswer: -6245a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*u + 26, 4*u - 13 - 3 = 0. Let y = -12 + 15. Let w be 10\/1 - y\/1. Solve -1 = n*b + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1470834868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-10)*f**16\/f)\/(f*f*f**(9\/4)*f*(f**(-14\/5)\/f)\/f*f))**(-44) assuming f is positive.\nAnswer: f**(-1001\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2380225 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l + 4*l**3 - 3*l**3 + 12*l - 4*l - 5 - 20*l in the form j + w*l**3 + u*l + f*l**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2434\/3 + 21149\/26. Find the common denominator of 87\/10 and k.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -50*h + 2. Suppose -t = 0, 5*v + 10 = -0*v - 5*t. What are the prime factors of f(v)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 10:52 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147493480*b**2*n**3 + 6*b**2*n**2 - b**2*n + 24*b*n**2 + 14*b + n - 2 wrt n.\nAnswer: -884960880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 10*x - 6. Let u be p(10). Let v be 7\/u + (-2)\/(-12). What is the remainder when v*(1\/(-1) + -14) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - r = -3, 26*v = 31*v - 5*r - 25. Solve 10 = v*i - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -41. Let y(o) = 17*o - 5. Let t(u) = 33*u - 11. Let b(a) = s*t(a) + 5*y(a). Is b(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -104155?\nAnswer: 1145705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 350.766 + -350. Let p = -0.234 - h. Let r(o) = o + 1. Let n be r(-1). Which is the closest to n? (a) -0.1 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:48 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:00 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q)**(-5\/7))**34 assuming q is positive.\nAnswer: q**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjcjjcjjjjjj?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1755 by 5.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/3)\/p)\/p)**(-9)\/(((p*p*p\/p**(-4\/3)*p)\/p)\/p**(-20)))**38 assuming p is positive.\nAnswer: p**(-1064\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4329*x**3 + 4323*x**3 - 8659*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -3.13\nAnswer: 1.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*j - 3*z, 4 = z + 1. Suppose -6*a + 2*a = 4, j = -2*g - 3*a + 5. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2504 + 722 = 2*f. Let p = f + 2774. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 31009.\nAnswer: -117\/31009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 0 - 336\/(-4). Let o be r\/56 - (-3)\/(-7). Suppose 3*g = -u + o, 0*u + 5*g = u - 1. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -2 (c) -3 (d) -7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -285 + 704. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - y**2 + y**2 + (0 - 1 + 2)*(y**3 - 3*y + 3*y) - y + y + y**3)*(-46 - 16 - 39 + 1 - 1 - 1 + 4 - 3 + 1 + (0 + 2 - 3)*(0 + 1 + 1) + 2 + 1 - 1).\nAnswer: -300*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2343 and 2493.\nAnswer: 1947033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**3 + 15. Let u(v) = -2*v**3 - 3. What is -2*c(o) - 11*u(o)?\nAnswer: 2*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -187210 + 5?\nAnswer: -187209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11)*-165*72\/2160?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 20 = 5*y, 0*v - 4*v = -5*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 636*m + 33708 = 0.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*1 - (-48)\/63. What is the closest to 1 in s, -2, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, 11, 85, 233, 479, 847, 1361, 2045?\n\"Answer: 4*y**3 + y**2 - 7*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 + 1)*-1*90\/21. Let n = 110 + g. Suppose -8*f - 11 = -219. What is the remainder when n is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, 4, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -211200211022 (base 3) to base 11\nAnswer: -285717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 3. Let i(r) = 9*r - 15. Let m(f) = f - 2. Let d(k) = -4*i(k) + 33*m(k). Let l = 730 - 733. Determine l*d(j) + 7*s(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4 (c) 2 (d) -1 (e) 335\/6 (f) -17 (g) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -48 + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 26*u - 166. What is the tens digit of n(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-30)\/(-25))*150\/(-240)*-16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1359.96874 - -1360. Round q to 4 decimal places.\nAnswer: 0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*y - 470 = -3*a, 476 = 2*a - 2*y. Let h be (1\/4)\/(-1 + (-372)\/(-368)). Suppose h*r - a = 22*r. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 121, 68, 15, -38?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2057) - (-1 + 1*sqrt(2057)) - (-3*(0 + sqrt(2057)) - sqrt(2057))) + (sqrt(2057) + 0 - sqrt(2057))*-3 + -5 + sqrt(2057)*1)**2.\nAnswer: -880*sqrt(17) + 102882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6538.67 + -6487. Let u = 52 - l. Let z = -2.67 - u. What is the second biggest value in -0.4, 0.2, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(5 + 2*d**3 + 3*d**3 - 18*d**3).\nAnswer: -52*d**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d**2 - 67*d + 289. Determine j(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 = 4*f + 3*q, -5*f + q = -2*q - 779. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + (9476\/(-30488))\/(6 - 59\/10)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-70) + (-3 - 248\/(-14)). Let y = 129 + -124. What is the highest common factor of y and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43741?\nAnswer: 17, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 6*v - 7. Let r(m) = 9*m**2 + 11*m + 13. What is -11*k(d) - 6*r(d)?\nAnswer: -10*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*z + 598 + 157 = 71 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 827860 and 44.\nAnswer: 827860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*c**5 - 362*c**5 - 175*c**5 + (3*c**4 - 2*c**4 + 0*c**4)*(3*c + 2*c - 7*c).\nAnswer: -518*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.1692\nAnswer: 0.6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 2*j**3 + 4*j**2 - 25 + 0*j**3 as c*j + z + o*j**3 + d*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 - 13*n**4 + (2*n**2 - n + n)*(-6*n**2 + 9*n**2 - 9*n**2) + (2*n**3 + 2 - 2)*(-2*n + n + 3*n).\nAnswer: -21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*s + 42. Find the common denominator of ((-265)\/(-15))\/(s\/9) and (-1)\/3 - (-2220)\/1152.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52\/25 - (-66)\/(-825) and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (26\/(-182) - (-5692)\/7). Let y = 5208 + p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 417682 + -12?\nAnswer: 417670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(10\/4)\/1*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 80. Give p(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6)*(-5 - 3). Let h(l) = -l**2 - 8*l - 7. Let j be h(-6). Solve -5*c + 3*t = -c - 14, -j*c = d*t - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 10*o + 700. Suppose 20 = 6*t + o. Let h be 30\/t + 13\/2. Which is the nearest to -3\/2? (a) -6\/5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*j - 170*j - 4 + 0)*(0*j + j + j).\nAnswer: 6*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/11 - 3804*g**3\/11 - 11424*g**2\/11 - 11428*g\/11 - 3810\/11 = 0.\nAnswer: -1, 1905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaaaylg. What is prob of sequence agja?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*s + 17 = 0, 5*k - 2*s = s + 62. Suppose 2*y - 55 = k. Suppose 4*u - y = 10. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.71552ml?\nAnswer: 0.08571552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 2*r)*(3*r**4 + 0*r**4 + 0*r**4) + 24007 - 90*r**5 - 24007 - r**3.\nAnswer: -87*r**5 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(1971*s**2 + 3147*s**2 - 116*s**2).\nAnswer: -5002*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(-2)*((f**3\/f)\/f)\/f**7*f**(-2)\/(((f\/(f*f**(-2)))\/f*f)\/f)*(f**0*f)**(-32) assuming f is positive.\nAnswer: f**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-290)\/(-70))\/((-13)\/(-2)) and -1\/63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.6921 hours in microseconds?\nAnswer: 1446091560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -126, -188, -250?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -698215\/194 or -3600?\nAnswer: -698215\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z**3\/5 - 44576*z**2\/5 - 638020*z - 57830308\/5.\nAnswer: -4*(z + 2713)*(2*z + 73)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 2*w**4 - 2*w**4)*(-w - 3*w + 2*w) + 4*w**4 + 35 + 28 + 159336*w**5 - 159338*w**5.\nAnswer: -4*w**5 + 4*w**4 + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 6*o - 3. Suppose 4*j + 4 = 28. Calculate z(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.35 in 1\/37, -5, -0.1, 5, 0.072?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003637 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5 - 549150*c**4 - 15379240*c**3 - 96673440*c**2 - 175772800*c = 0.\nAnswer: -20, -4, 0, 109858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, 9 in descending order.\nAnswer: 9, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -347*q**2 - 7*q + 9. Let u(w) = 174*w**2 + 4*w - 5. Let x(t) = -4*d(t) - 7*u(t). What is the remainder when x(-1) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268 or 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/32 + 25\/96. Let o = 44 + -43. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -120*g + 50. Let z(s) = 7*s - 3. Let r(l) = 2*q(l) + 35*z(l). Let j be r(5). Solve -5*x = 0, 0*k - 5*k = -5*x - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2817*y - y**2 - 2817*y. Let n(i) = -2*i**3 - 6*i**2. Let d(m) = -10*h(m) + 5*n(m). Find the third derivative of d(r) wrt r.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 3*l**2 + 10*l - 6. Let o(b) = b**3 + b**2 - b + 2. Determine n(w) + 3*o(w).\nAnswer: w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32343 - -32343.0014263. Round g to five decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 13*k - 293. Solve 20 - 15 = -k*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -2, -3655, -446?\nAnswer: -3655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Let y(t) = -6*t + 6*t + g*t**2. Let j(s) = -2*s**2. What is j(y(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6605 is divided by 6532?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 14*q. Let b be w(-6). Let k = 26 + b. Is 4\/(1 + 18\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 + (-208 - -29) + -65 + 1 + 1.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.004 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -28*h + 1071. Let j be c(7). What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c + 44. Let s be i(-5). Suppose -6*k = -s*k - 48. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8)*(-15)\/(-12)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 5.1. Suppose 2*m - 5 = -3*q, 6*q = -4*m + 8*q - 30. Which is the smallest value? (a) 1 (b) n (c) -4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 85375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1053 and 0.019.\nAnswer: -1052.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/12 - 38*k + 10. Let l(h) be the first derivative of m(h). Let n(s) = -6*s**2. Give l(n(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -620181.73 or 0?\nAnswer: -620181.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(1\/21)*y))\/(y*y*y*y**5*y))**11\/(y**(-6)\/(y**8*y)*y**6*y**(-2\/7)) assuming y is positive.\nAnswer: y**(-2126\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 9700393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 245*a**2 + 2*a - 2. Let r be d(1). Suppose 3*t = -29 + 38. Suppose 8*b - t*b = r. Is 49 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0, -30.2, -0.06, 2 in descending order.\nAnswer: 2, 2\/7, 0, -0.06, -30.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/10)\/(2\/((-80)\/18)). Which is the third smallest value? (a) -30 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u**3\/3 - 9. Let r(x) = -6*x. Give l(r(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = -4*h - 10*p + 5*p, 1271 = 5*h - 4*p. What is the greatest common divisor of 75 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989698164 to the power of 1\/2, to the nearest integer?\nAnswer: 44606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4990 - -5176. Solve 45*v + h = -39 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38766978.\nAnswer: 2, 3, 541, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**4 + 25*k**3 + 83*k**2 + 42*k. Let b(u) = -15*u**4 + 63*u**3 + 207*u**2 + 105*u. Let a(m) = -5*b(m) + 12*n(m). Factor a(f).\nAnswer: 3*f*(f - 7)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/21 + 696\/28. Let x be (-30)\/l*(-10)\/(-4). Let b(h) = h**3 + 3*h**2 + h - 1. Let i be b(-2). Put 0, x, i in descending order.\nAnswer: i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*m**2 - 2813*m + 2813*m to the form y*m**2 + d*m + p and give y.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1543*w - 3094. Give s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -29*s**3 - s**2 - 7*s + 8. Calculate j(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3731 - 3729 - 29*s**2 - 49*s + 31*s**2 to t*s**2 + j + d*s and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:52 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 + 10*x**2 + 2*x + 21. Let p(b) = -b**3 + 1. Let n(w) = h(w) + 3*p(w). Let y be n(-10). What is the nearest to 1.2 in y, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9210000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynndyennyynryyerln. What is prob of sequence lyd?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 4:00 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 - 0.15. Which is the smallest value? (a) m (b) -2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.003275, 1, 5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 2*u + u)*(2 + 6 - 2) as p*u + q and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + 4*f**5 + 3*f**5 + f**5 - 5*f**5 + 2*f**5 + 2*f**5 + 2*f**4 - 2*f**4 + (-4*f + 0*f + 6*f)*(-3*f**3 - 2*f**4 + 3*f**3) + 2*f**5 - f**4 + f**4.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129856426 a multiple of 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -72 - 425.008\nAnswer: -497.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32186 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02243 - 1822570\nAnswer: -1822569.97757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:12 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - s - 713 = 0, 5*o - 41 - 852 = 3*s. Let y = -18 + o. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 6*x)*(-5*x**2 + 2*x**2 - x**2) + (x**2 + x**2 - 5*x**2)*(-2*x + 6*x - 5*x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1661? (a) 2\/5 (b) -4\/3 (c) -3 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.32 - -0.32. Let u = -47 - m. Are 0.06 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + 305?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-7))\/(-11*(-4)\/308)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (3*1)\/(18\/24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/(x\/x**15)))*x\/x**(1\/4)*((x*x*(x\/(x**(1\/5)*x))\/x)\/x)\/(x*x**12) assuming x is positive.\nAnswer: x**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3421 in increasing order.\nAnswer: 1, 5, 3421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/2*(-6 + 8). Which is smaller: b or 23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.3. Let n be (1\/(-3))\/((-2)\/(24\/18)). Which is the closest to 0.1? (a) n (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 619585\nAnswer: 68154.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 12. Suppose 2*t + 14 = -0*t + 3*x, 4*t + 5*x = -6. Let d be (-1)\/((-3)\/(-63))*(60\/(-28) - -2). Sort d, 1, v, t in decreasing order.\nAnswer: d, 1, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27836794 divided by 13918397?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*j**2 - 1 + 2*j**3 - 118*j**2 + 708*j - 720*j + 62*j**2 + 217*j**2 to the form b*j**2 + i*j + t + v*j**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 8*r**2 + 11*r - 4. What is j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -5 + -7 + 2 + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -2, 4, 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4719132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468 * -0.4.\nAnswer: -187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + g = 40 - 15, -32 = -4*r - g. Is 7 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -692?\nAnswer: 68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2794762 litres to millilitres.\nAnswer: 279.4762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15452535 is divided by 387?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -14 - 5 - (153 + -170)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -24, -26, -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.009305 and -0.3.\nAnswer: -0.309305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*j - 2, 2*l = -0*j + j + 4. Suppose 7 = l*p - 1. Suppose 8 = -p*y, 5*c + 5*y + 173 = y. Calculate the common denominator of c and -37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -528, 161 in decreasing order.\nAnswer: 161, 2, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*c - 3. Let x be ((-6)\/c)\/(2\/(-5)). Suppose x*j - i - 22 = -0*j, -12 = -4*j - 3*i. Solve 0*n - j = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17238 and 3814.\nAnswer: 32872866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 39 - 34 + 6*v**2 - 9*v + 7*v - 15*v**2 + 6*v. Let z(g) = -17*g**2 + 7*g + 9. What is -11*f(a) + 6*z(a)?\nAnswer: -3*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*v + 142*v - 81 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -28*t**2 - 3. Let l(s) be the first derivative of s**3 - s**2 - 74. Let o(p) = 17*p**2 - 11*p. Let y(m) = -22*l(m) + 4*o(m). Calculate y(c(f)).\nAnswer: 1568*f**4 + 336*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62292*z - 62215*z = -233 + 2004 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1416 and 48?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 8 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249 and 848758.\nAnswer: 2546274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -9916 + 9817. Let v(h) be the second derivative of 8\/3*h**f + 5*h**2 + 0 + 33*h. Find the first derivative of v(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 11:46 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.09 - -1.47. Let z = -0.48 + n. Which is the closest to 2\/3? (a) z (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n - 2. Let o(m) = -7*m + 2. Determine -5*o(x) - 6*t(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 2, -5, 0.1, 607 in descending order.\nAnswer: 607, 16, 2, 0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*n = -23, -5*r + 20 - 1 = n. Suppose -r*b = 2*y + 10, 2*y - 3 = -3*y - 3*b. Let l be (-6)\/(-4) + y\/6. Solve l*d = 3*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14023514 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668*y = -671*y - 960. Let q = 537 + y. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * 0.01\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from xxxooxooxoxxx.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18634 divided by -422\nAnswer: -9317\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y**4 - 8 + y - 8*y**4 + 18*y**4 to l*y**3 + b*y + m*y**2 + w + x*y**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -8) + -45 + 36\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 8. Suppose 0 = 3*b + c - 20 + 38, -2*b - 6*c - 60 = 0. Let l(w) = -8 - 3*w + 0*w + 7*w. Determine b*p(a) + 2*l(a).\nAnswer: -a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176779?\nAnswer: 1176779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921020 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32*-0.02\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) 1.5 (b) -2 (c) -0.4 (d) 0.5 (e) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = 5*z - 67. Let r be 2\/(-12) - z\/12. Let l be (-15)\/3*(-3 - 0). Solve 0 = -r*c - l + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81632, -326628, -734946, -1306580, -2041524, -2939772, -4001318, -5226156?\n\"Answer: o**3 - 81667*o**2 - 2*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(26\/8) - (-1 + -1). Suppose -h + g*u = 3*u - 905, 5 = -u. What are the prime factors of (1\/5)\/(2\/h)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 31691?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d**3 + d + (d**2 + 0*d**2 - 3*d**2)*(-18 + 18 + 10*d).\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**(-14))**(-4\/3) assuming c is positive.\nAnswer: c**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219796 is divided by 11538?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 15*h + 5. Calculate the remainder when ((-1215)\/(-10) + 6)*(-12)\/(-30)*2 is divided by g(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.8 - -29. Let l = x + -19.200542. Round l to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**2 + 4963*c - 301949. Calculate a(552).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13059116 greater than 13059120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000185374 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*u - 463*u + 99*u + 545*u.\nAnswer: 297*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54514714*j**2*z**3 + 144*j**2*z**2 - 2*j**2*z - 4*j*z**3 + 2*j*z**2 - 35*j*z + j - 26*z**2 wrt z.\nAnswer: 327088284*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 37. Calculate the remainder when q is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 1}. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {f: 4, e: 2, p: 4, m: 4}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 581694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -8\/5. Let x = 31 - 30.5. Which is the second biggest value? (a) u (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -66 + 135*l - 70 - 52 - 13. Let x(j) = -27*j + 40. Let q(b) = 4*p(b) + 21*x(b). What is the first derivative of q(u) wrt u?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 5*f**2 - 4*f + 2. Let d be x(-4). Let i(c) = 6*c - 9 + d + 7. Let a(j) = j**2. What is a(i(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 16*l**2 - 12*l - 53. What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359488 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 2*j**2 - j - 2*j**3 - 2*j**4 - 2 - 2*j**3 as k*j**4 + a*j**3 + l*j + b + s*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 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: What is 48812 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 89*b + 32. What is m(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2286.92004 - -2547.9200497. Let p = b + -261. Round p to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - (15 - 11) - (-3 + 4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 16 = 0, 2*q - 3*k = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 37 = -26. Suppose -3*w - m + 27 = 0. Solve 2*p + 4*t + 8 = -w*p, 0 = -p + 5*t - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2155121*t**4 + 72379*t + 16.\nAnswer: 25861452*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 2*z**3 + z**4)*(-4*z + 2*z + 3*z + (-1 + 1 + 2)*(-z + 0 + 0)) + (0*z + 2*z - 3*z)*(96*z - 96*z + 105*z**4).\nAnswer: -106*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 60. Let h be y(-20). Let s be 0 + h + (11 - 9). Find the third derivative of -s*d**3 + 29*d**2 + 45*d**3 - 10*d**2 wrt d.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 296595.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4*(-8)\/6. Let m be n + (-1)\/((-1)\/3). Suppose -m*u + 9 = -2*u. Sort 2, u, -0.2 in descending order.\nAnswer: u, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 258555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51722*b - 14627 = 51814*b - 2023 for b.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -12541042.7.\nAnswer: -250820.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-115) - (0 + 858\/(-5)). Let v = r + -110. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86967557 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**6\/2 + 3*t**5 - 3*t**4\/4 - 5*t**3 + 139. Factor c(f).\nAnswer: 3*f**2*(f - 1)*(f + 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786127.\nAnswer: 786127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -495*w**4\/4 - 269*w**3\/3 - 160. What is the third derivative of i(z) wrt z?\nAnswer: -2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/12)\/1)\/((-3)\/(-108)*44)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 14846901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57356 = 140*u + 63656 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*((sqrt(153) + (sqrt(153) + 1*sqrt(153) - sqrt(153)) - sqrt(153))\/sqrt(9) - (sqrt(17) + 2*sqrt(17) + -2))**2.\nAnswer: -48*sqrt(17) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, i: 5}. Give prob of sequence jij.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4281 and 1494664059.\nAnswer: 4281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 28*a + 0 + 38*a - 130*a to j*a + w and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + 1 + 7396\/516. Factor -1\/3*x**4 - 3*x**2 - r*x + 0 - 2*x**3.\nAnswer: -x*(x + 1)**2*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/20 - p**4\/8 + p**2. Find the second derivative of w(f) wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/7 + 15000*d**3 + 23836032*d**2\/7 + 1808904576*d\/7 + 45792220416\/7.\nAnswer: 3*(d + 76)**3*(d + 34772)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 3*b**2 - b + 2. Let m be u(4). What is the tens digit of ((-3 - m) + 1)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121))\/sqrt(11)*-2.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188.3 - -0.3. Let i = a + 184. What is the closest to 1\/6 in i, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5105*v + 5108*v = h + 57, -4*h = -v + 8 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4565*b**2 - 4562*b + 3.\nAnswer: -(b + 1)*(4565*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -75. Factor -z*y**5 + 64*y**5 - 4*y**4 - 33*y**5.\nAnswer: -2*y**4*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 2\/7, -0.4, 4\/9, -740?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-4)\/(-12)). Suppose 350 = -3*q + v*q. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 850035192 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 186.\nAnswer: 61\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let t = 24 + -19. Let b(w) = -3*w - 4. Let q(z) = t*i(z) + b(z). Differentiate q(a) with respect to a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*k - 385 = -4*k, 3*m = 3*k + 252. Let a = 81 - m. Does 7 divide a\/2*(32 + 18\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6779.\nAnswer: 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmxshxfxhffhhhhx. Give prob of picking 2 h and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 4*n - 74, -2*p = -3*n + 64. Suppose 8*k - 728 = -88. What is the greatest common factor of n and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a. Let m(v) = 970*v**2. What is m(g(p))?\nAnswer: 8730*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c - 1542 = -300. Which is greater: c or -50?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403572565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*y - 0*y. Let p(o) = -482 - 2*o + 484 + 13*o - 10*o. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - 56) + (1 - (0 + -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 7, 2, 10 in descending order.\nAnswer: 10, 7, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 53. Let u be r(0). Let l = 84 + u. Suppose -26*k = -l*k + 105500000. Round k to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -26. Find the first derivative of 10*g**2 + 7 + v + 6*g**2 + 0 wrt g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 2. Let p(h) be the third derivative of -h**4\/8 - 5*h**3\/6 - 2*h**2. Let m be (-2)\/8 + 6\/24. Suppose 7*y - 13 - 8 = m. Calculate y*p(w) - 7*b(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238953.4902 take away -19?\nAnswer: 238972.4902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 13, q: 3}. Give prob of sequence oq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**5 + 0*g**4 + 15\/14*g**7 - 5\/2*g**3 + 0 - 15*g + 0*g**6 + 0*g**2. What is the second derivative of r(u) wrt u?\nAnswer: 900*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 11\/(33\/(-18)). Let f be t\/4 - (8*1)\/(-2). Solve 4*o = 4*j + 16, -2*o - f = -3*j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 - 6*q + 5. Suppose 4*x - 2 = 82. Let u(r) = 14*r + r**2 + 1 + x*r + 0 - 36*r. What is -p(m) + 6*u(m)?\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h - 14. Let d(g) be the second derivative of 7*g**3\/6 + 15*g**2\/2 + 3*g. Let v(n) = 5*d(n) + 6*m(n). Does 15 divide v(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1400\/75)\/28*2\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 6\/9*(-12)\/8. Suppose 2*v - 1654 = -0*v + j, -5*v + 4135 = -b*j. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 + d**4\/2 + d**3\/2 + d**2\/2 + 11*d. Suppose 3*y - 3 = -m + 6, 16 = 2*m + 5*y. Is b(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711538 is divided by 27167?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1969448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*h + 466 - 475 - 131*h.\nAnswer: -h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 28. Let m(a) = 35*a**2 - 28. Let h(o) = 4*o**2 - 3. Let y(t) = r*h(t) + 3*m(t). Let u(l) = -l**2. Calculate y(u(c)).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -20. Let q = 2.246 - 0.246. What is the second smallest value in 2\/5, i, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 9.73.\nAnswer: 87.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*2)\/sqrt(9).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16120\/(-2418)*(-1)\/((-8)\/(-18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40, -7, 1\/5, 44026?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 8. Calculate the smallest common multiple of 22 and a\/(-4)*24\/9.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 e, and 1 q when four letters picked without replacement from {b: 1, e: 2, q: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -56, -25, 0, 5 in decreasing order.\nAnswer: 5, 3, 0, -3, -25, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44455, 88922, 133391, 177862, 222335, 266810?\n\"Answer: n**2 + 44464*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 239*l + 9. Let m(h) = 246*h + 11. Determine -5*m(d) + 6*w(d).\nAnswer: 204*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 - 4*h**2 - 62*h - 1089. What is the tens digit of k(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4\/9)\/d)\/d)\/d)**50 assuming d is positive.\nAnswer: d**(-1550\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, -1\/6, -0.09, 5 in decreasing order.\nAnswer: 5, 3, 2, -0.09, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 + 57*z**2\/2 + 100*z + 72.\nAnswer: -(z - 9)*(z + 1)*(z + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -182*i**5 + 438*i**4 + 1036*i**3 + 480*i**2 + 64*i = 0. What is i?\nAnswer: -1, -4\/13, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (12 - 7) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 7}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -73*d - 4. Does 46 divide o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -449, 1, 7 in descending order.\nAnswer: 7, 1, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 5*p - 183 = -26*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 78. Let w = -46 - -55. Let c be (7 - (1 + 1))*w\/15. Sort -1, c, b, -10 in descending order.\nAnswer: b, c, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:00 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*1 + sqrt(80))*3 - (4 + sqrt(80) + -1 - sqrt(80))) + ((sqrt(80) + -2 - sqrt(80)) + -4 - (sqrt(80) + sqrt(80)*2*2)))**2.\nAnswer: -72*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7447\/204 + -407\/12. Are 4 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118.69 + -3057.71. What is p rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, f: 5, t: 3, s: 2, x: 1}. Give prob of sequence ptpf.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 + 1665*g**3 + 1659*g**2 - 1665*g - 1662 = 0. Calculate g.\nAnswer: -554, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (1 - 2))*(-126)\/54. Let l(a) = a + 3. Determine l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-2)\/(-1))\/(2016\/48))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -582106 plus -7.5?\nAnswer: -582113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 531 - 314. Suppose 6*z = 703 - m. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 7*c + 1. Let t be l(-6). Let z = t - 118. Suppose -2*b = 3*h - 27, 4*b = 4*h - 3 + 7. What is the least common multiple of z and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -7633?\nAnswer: 762b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/672 and 143\/256704.\nAnswer: 256704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-8))\/((-23)\/((-1564)\/51)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5228416 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 232628 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1097 (c) 33344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 76, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:07 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4 + 4 + 3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u**2 - 6 + 35*u**2 - 14*u**2)*(u**3 - 3 + 3).\nAnswer: 34*u**5 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11749332.\nAnswer: 2, 3, 7, 61, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5497372 nanometers in millimeters?\nAnswer: 0.0000005497372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23557.867 rounded to the nearest one hundred?\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 150 = 202. Solve 7 = 5*x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4194 = -5*b + 2*r, 1688 = 2*b - 3*r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 = 2*a, 10 = 2*o + 3*o + 3*a. Let j = 2 - o. Suppose -5*x + 20 = 0, -5*x - 51 = -4*s - j. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**7\/70 - 3*t**5\/20 - t**4\/4 - 15*t**2. Factor v(f).\nAnswer: 3*f*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1313 divide 448589734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -27.\nAnswer: 37\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28, -159, -42 in descending order.\nAnswer: -3, -28, -42, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758173?\nAnswer: 13, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s*x**4 - 8*s*x**3 + 35*s*x**2 - 3*s*x - 4*x**4 - 2*x**2 wrt x.\nAnswer: 48*s*x - 48*s - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/75)\/(12\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*c - 28. What is the remainder when 45 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - l = 4*l + 14, -5*g + 4*l + 75 = 0. Suppose 0 = -3*h - g*h + 1554. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -29. Suppose 2*b - 4 = b, t = 4*s + 3*b - 72. Suppose -s*y = -21*y - 12. Let o(p) = p**3 + 3*p**2 + 3*p. Determine o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 192?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -323 + 334. Let y be (357\/(-35) + x)\/(22\/5). What is the closest to 3 in -1, 1, y, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003629 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z**2 - 23*z + 93. Calculate a(6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30317 + -28842. Calculate the highest common factor of v and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 727*h - 78. Determine s(0).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600489 is divided by 300229.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26276202.\nAnswer: 2, 3, 19, 76831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 8 = 5*w. Solve 4 + 0 = w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-9)\/(-90))\/(3\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**3\/3 + 1688. Let x(k) = -13719*k**2. Give x(o(g)).\nAnswer: -54876*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let v be z(0). Suppose v = -4*m - 10 + 6. Is (1 + m - 1) + 332 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 58709924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 10:15 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - q + 34 = -2*q, 4*p = 3*q + 140. Suppose 4*s - 2*o = 56, -p = -3*s + 4*o + 9. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 227a41300 - -3?\nAnswer: 227a41303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -626 + (-3 - -1) + 3. Let o = n - 25. Round o to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 7*l - 12. Let s be c(4). Suppose -4*k + 4*a + s*a = -84, -2*a = -10. Suppose z - k = -z + 5*b, b = -4*z + 30. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -72*c + 16. Let y(l) = -14*l + 3. Give -6*o(k) + 33*y(k).\nAnswer: -30*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, x: 3, b: 1, f: 5}. What is prob of sequence xff?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 16 = -4*r, -20*b + 15*b = -5*r + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -3 (b) 0.1 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -0.28663?\nAnswer: -0.0429945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21307633, 42615275, 63922917, 85230559?\n\"Answer: 21307642*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152745687.\nAnswer: 3, 16971743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(288) + 1)*4)**2*-6.\nAnswer: -693600 - 57600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, -136, 1, -64 in decreasing order.\nAnswer: 5, 4, 1, -2, -64, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/12 - (-151)\/(-4). Let h = q + 52. Calculate the greatest common divisor of h and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxxhzzxhzzzzz. Give prob of sequence tzhx.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/15)\/(4\/(-30)). Let o(x) = x**2 - 5*x - 82. Let w be o(12). What is the derivative of -3 - 8*g**2 + w*g**2 - k wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from {m: 6, i: 3, f: 3, c: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1\/16*r**4 - 41*r**2 - 1\/480*r**6 + 0*r**3 + 0*r - 1\/48*r**5 + 0. Factor w(s).\nAnswer: -s*(s + 2)*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 7*l - 2*l)*(-2*l + 1 - 1) - 1 - l**2 + 2*l**2 + 2.\nAnswer: -5*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2716, 2312, 1638, 694, -520, -2004, -3758?\nAnswer: -5782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.7? (a) 180\/13 (b) -1\/4 (c) -3\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 + 11. What are the prime factors of j(6)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638420 is divided by 2686.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - 3*j + 2. What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 3, j: 1, k: 2, s: 4}. Give prob of sequence ooos.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -411*b**2 - 199 + 2*b + b - b + 197 as z*b**2 + c*b + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 - 4*c + 4. Let s(u) = 57*u**2 - 33*u + 33. Let h(d) = 33*f(d) - 4*s(d). Let m(y) = -5*y**2 + 3*y**2 + y**2 + 2*y**2. Determine m(h(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1886, 1.\nAnswer: -2, 1, 5, 1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 20*i = 15. Solve -4*b + 3 = -5*h, -h + i*h - 5*b = -8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4319 and 404135.\nAnswer: 2828945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8986 divided by -43.\nAnswer: 8986\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c + 11. Let p be (-6)\/c*(-8)\/(-24). What is the nearest to p in -5, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(9\/(-45)*-5) + 109270 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5\/(30\/24) - 15\/((-90)\/179688)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 66*x**2 + 945*x + 12. Calculate i(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174836 (base 10) in base 15?\nAnswer: -36c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 1, t: 4, x: 4}. Give prob of sequence xxts.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsiq when four letters picked without replacement from {j: 3, s: 1, y: 1, i: 3, q: 3}.\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 69. Suppose -3*p = 4*z - 457, -2*z + r*p = 2*p - 251. List the prime factors of z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4) + (18\/(-4) - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) -2863\/2 (d) 56\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 166, 163, 160?\n\"Answer: -3*f + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34092.67g in tonnes?\nAnswer: 0.03409267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, 10, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 421101, 842162, 1263223, 1684284, 2105345?\n\"Answer: 421061*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, k: 7, r: 2}. Give prob of picking 2 j and 1 k.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = 0, -o - 2*q - 5 = 3. Let k(f) = -3*f - 9. Let g be k(-4). Suppose -s - m = -g*s + 9, -3*m = s + 13. Is s less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165.75065 + 1.7\nAnswer: 167.45065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*n = -318*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 16*i**2 + 2*i. Let n be u(-1). Which is the fourth biggest value? (a) -1\/5 (b) n (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*y - 35. Let m = 43 - y. Solve -3*b + m = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -112 in -12, 2, -4, 323, 1\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(-6) + (-1)\/2. Let j = -13 + c. What is the second derivative of -5*x + 0*x - 4*x**j + 0*x wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 - 162*m**5 - 186*m**2 + 3*m.\nAnswer: 360*m**3 - 9720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -305, -313, -333, -371, -433, -525, -653, -823?\n\"Answer: -s**3 - s - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - s)*(0*s**3 - 3*s**3 + 5*s**3) + 5*s - 5*s - s**4)*(3 - 3 + 1).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.1, 5159, 0.08, -7\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*i - 3 = -2*i, -5*z - 5 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(-1 + sqrt(252) + 1*sqrt(252)) + (sqrt(252)*-1 + -3 - (sqrt(252) + (-1 + sqrt(252))*-1 + sqrt(252)))))**2.\nAnswer: 144*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 - -3?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*c - 9 = 206*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/2 + 7812*p**2 - 27825120*p + 28757548800 = 0. What is p?\nAnswer: 2280, 11064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x**3 - 23*x**3 - x + 10*x - 8 + 5*x**2. Determine d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*i - 4470 = -14221 + 60052 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((2 + sqrt(153))**2 - sqrt(153)) + (sqrt(153) - (-3 + sqrt(153) + sqrt(153) + -5)))*3.\nAnswer: -1389 - 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*s - 1290 - 1068 + 858 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*h - 17. Calculate the least common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 374 = 1684. Let y be -1 - 0 - -467 - 1. Let q = x - y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*f + 6, 1 = -3*a - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeam when four letters picked without replacement from {a: 1, m: 6, e: 4, d: 2, i: 2, q: 2}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372830164 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 + 3*l - 12. Let g be f(4). Solve -20 = 4*n - g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2448))*-2*5)**2.\nAnswer: 4800*sqrt(17) + 245200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/(g*g*g**(-5\/2)\/g)*g**5*g\/(g*g*g**(-8)\/g) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 12:23 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:18 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(304)\/(sqrt(16)\/sqrt(2)))\/sqrt(2) - (1 + (sqrt(38)\/sqrt(2) + -5 - sqrt(19)) + -4).\nAnswer: sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415101, 830197, 1245293, 1660389, 2075485?\nAnswer: 2490581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 4. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9202 and 117734?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v + 12. Let s = 9 + v. Suppose 2*q + s*l + 43 = 4*q, q = -3*l - 6. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11167 is divided by 11120.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let q(k) = -3*k + k**3 - 2*k + g - 5*k**2 - 2. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 35*l + 1397. Let j be s(-40). What is the nearest to 0 in j, 156, -5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358 - 11.293.\nAnswer: -369.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 7*c**2)*(-c + c + c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.4 and -0.06.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q - 34 = -5*p, 2 = q. Let r(x) = 2*x + 18. Let b be r(6). Is 27 a factor of 1212\/15 + p\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540*x + 76 = -1539*x. Calculate the remainder when x is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491853 is divided by 4054.\nAnswer: 4035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2393124*o - 2393321*o + 4786610*o.\nAnswer: 165*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*(-14)\/(-18)*25\/((-29325)\/(-207))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 4. Let c be n(-1). Suppose -4*p - c = -22. Suppose 5200000 = 3*t + p*t. What is t rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((306891\/122)\/(-43))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 + 118*u - 1000. Give f(-18).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q - 7. What is r(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186 + -186.04. Which is the second biggest value? (a) k (b) 1 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*p*t**6 - 176*p*t**2 + 3*p*t - 8*t**6 - 4*t**3 + 28*t**2 - 2*t wrt t.\nAnswer: 12600*p*t**3 - 960*t**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5738368.\nAnswer: 2, 127, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174416 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-3 + (5 - 0)). Let v = 0.3 - 0.7. Suppose -4 = -c - 2. What is the nearest to -0.1 in u, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59937\/5 - (-249)\/415. What is the highest common factor of s and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1174 times -0.5\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8922715088 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/6 + 5*h**2\/2 + h. Let t be u(5). Suppose m + x = 41, 0 = 4*x - 10 - t. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979924.4 decades to months.\nAnswer: 117590928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220729501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 2*x. Let i(w) = -2*w**3 + 2*w - 4. What is 2*c(r) - i(r)?\nAnswer: 2*r**3 - 2*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17895323*i**3*k**3 - 2*i**3*k**2 + 806*i**3 - 3*i**2*k**2 + 5385*i**2 wrt k?\nAnswer: -107371938*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 32*s**3 + 2*s**2 - 14*s - 51. Let l(r) = -4*r**3 + r + 3. What is 9*l(m) + q(m)?\nAnswer: -4*m**3 + 2*m**2 - 5*m - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10750185 and 75.\nAnswer: 53750925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a*r**3 + 244*a*r**2 + 2*a*r + 2*r**2 + 6*r - 240 wrt r?\nAnswer: 42*a*r + 488*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371 + 375. What is the second smallest value in -265, t, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*o - 14 = 0, 3*o + 38 - 16 = 5*g. Determine n so that 2\/9*n + 2\/9*n**g + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*s + 2*h + 1001, 5*h = -20. What is the tens digit of (-2)\/7 - s\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-3))\/((-2)\/246)*-2 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:12 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-30) + (-696)\/(-180). Let o(m) = -4 - m + 0*m - g + 7. Give o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -28303507?\nAnswer: 28303511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 160721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12293, -24588, -36883, -49178?\nAnswer: -61473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 52, 138, 296, 550?\n\"Answer: 4*f**3 + 10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152915)\/10794*6\/1.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from {a: 2, e: 1, o: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(12 - -5 - (34 - 18))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 2 - (-58 - (-88 - (62 - 124))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-315))\/((-46)\/(-69)*(-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*sqrt(931)*1)**2.\nAnswer: 14899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*p - 4, p + 2*p = 6. What are the prime factors of (q - 0)\/(4\/(-1160))?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 92 = -0*z. Calculate the lowest common multiple of z and (-84)\/8*5060\/(-5313).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89170 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26730695 is divided by 8910128?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8811316 divided by 2.\nAnswer: -4405658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, 1158, 1690, 2168, 2574, 2890, 3098?\nAnswer: 3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 1 c when three letters picked without replacement from zeicieiiiozol?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 146, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156384, -312768, -469150, -625530?\nAnswer: -781908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i**2 - i + 1. Suppose 3*r - 65 = 178. What is the remainder when r is divided by v(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -2)\/(2\/25). Let m = 143810 - 143610. Calculate the highest common factor of m and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15220 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-2)\/(8\/(-251)) + 3\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 32*f**3 - 14*f**2 - 17*f - 17. Let m(i) = 11*i**3 - 5*i**2 - 6*i - 6. Give -17*m(a) + 6*t(a).\nAnswer: 5*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -0.02 (c) -140 (d) -1\/24 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 = 8*g - 2*u, 4*u = -g + 9. Let l be (-6)\/(-9) - 41\/48. Which is bigger: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -10 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/30*(-4)\/(32\/(-30)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let j be o(3). Let h be (-68)\/170 + 1 + (-3)\/5. Suppose r = -h*r + j. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 2022*q**3 + 3*q**2 + 2011*q**3 + 5*q**2 + q**4 as a + n*q + l*q**3 + c*q**2 + i*q**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-1)\/18 - (-8)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 794?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 - 6*u**3 - 3*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, -0.4, -2, -129\/332?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803415 is divided by 1697.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/8 and -139\/121632?\nAnswer: 121632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48148 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -214660 > 543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/8)*l**(4\/5)\/l*l\/(l*l*l\/(l\/((l\/l**(-6))\/l)))*l**5*(l**9\/(l*l\/(l**(-1\/8)*l*l)))**(-2\/7) assuming l is positive.\nAnswer: l**(-1221\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 - -241.388. Let f = 0.69 + g. Let x = -5.978 + f. Round x to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/75780 and -83\/22734?\nAnswer: 227340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/(f\/(f*f\/(f*f**(4\/3)))))**(1\/55)\/(((f\/f**(2\/5))\/f)**(-2\/73)\/(f*f*f**3\/f*f**(-2))) assuming f is positive.\nAnswer: f**(24542\/12045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by 5.\nAnswer: 384\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -20 (b) -14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9*(-5718)\/40. Let o = -92\/3 + z. Let a = 2\/5467 + 541217\/43736. What is the common denominator of o and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -6365*l**5 - 566490*l**4 - 4710545*l**3 - 10264080*l**2 - 6118460*l - 4800 = 0.\nAnswer: -80, -6, -2, -1, -1\/1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/245 - -249\/490. Let d = -1\/9 - -5\/18. Sort d, 4, 4\/9, u.\nAnswer: d, 4\/9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) - 49\/35. Let f(p) = -p**2 + p. Let y(o) = -2*o**3 - 12*o**2 - 58*o. Let v(h) = d*y(h) - 8*f(h). Suppose v(a) = 0. Calculate a.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 4*v**3 - 4*v**3)*(-447*v**2 - 4364 + 4364).\nAnswer: -447*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 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 d be (2\/(-13) - 657790\/3276)*-2. Let o = 399 - d. Is -4 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0)*(-244)\/(-8). Let c = 3389 - 37232\/11. What is the common denominator of c and 2\/2*x\/(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373892 (base 13) in base 9?\nAnswer: 22577474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -392\/17 - 2\/17*x**3 - 448\/17*x - 58\/17*x**2.\nAnswer: -2*(x + 1)*(x + 14)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 503, 752, 1001?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-756)\/(-10) - 16\/(-40). Suppose -2*z + 3*t = -r, -5*t + 4*t - 4 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 - t + 2*t**3 + 5 - t**2 as u + w*t**2 + c*t + n*t**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Let s(w) = 3*w**3 + 2*w + 25. Let f(k) = -4*k**3 - 3*k - 26. Let t(l) = r*s(l) + 2*f(l). List the prime factors of t(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0417 and -2?\nAnswer: 0.0834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 80*k**2 + 7845*k - 55080.\nAnswer: -5*(k - 27)*(k - 8)*(k + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose -5*k = -12 - 3. Suppose k*m - n = 7, f = 4*m + 5*n - 2 - 1. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1210570*l + 381187.\nAnswer: 1210570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 - 10*d + 12. What is the least common multiple of m(-4) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + 0.57. Let s = -0.2 + i. What is the second biggest value in s, 2\/5, -4\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 2\/3, 0.1, 1, -2\/3.\nAnswer: -2\/3, 0.1, 2\/3, 1, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*4*(0 + -6*((sqrt(200) - (sqrt(200)*-1 - sqrt(200))) + sqrt(200)))*-4)**2.\nAnswer: 589824000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9 - 6. Let h = 7 - w. Factor 0*l + 0*l - l**4 + h*l**3 + 3*l**5 - 4*l**5.\nAnswer: -l**3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 6960?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/10*-10 + 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let q(m) be the second derivative of m**5\/15 - 5*m**3\/3 + 14*m**2 - 4*m. Let d(z) be the first derivative of q(z). Give d(a(s)).\nAnswer: 4*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 3562250600*o - 634481466860018000.\nAnswer: -5*(o + 356225060)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 1\/10 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 44 = -3*l. Let m(h) = -48 - 32 - l*h - 13. Let s be m(-10). Calculate the highest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**7\/14 - 9*z**5\/5 + 4*z**4 - 15*z + 42. Let f(a) be the first derivative of t(a). Factor f(h).\nAnswer: 3*h**2*(h - 2)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -1a3502?\nAnswer: 1a34a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, 287, 0.4, -822, 25, 3, 0.1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 + -3 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/2 + 760*t**3 + 9048*t**2 - 128*t - 193024 = 0?\nAnswer: -1508, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 4 = -53*c + 55*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:49 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 31*v - 49. Is p(-21) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99, 27, -159, -513, -1089, -1941, -3123?\n\"Answer: -9*k**3 - 3*k**2 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 h when three letters picked without replacement from mhjmmmjmmhmmmmmmmmmh.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 - 0.03. Let j = -40759 + 40758. What is the smallest value in 2, o, 0.8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**3 - 1 + 86*i**3 - 177*i**3.\nAnswer: -47*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 - 5*h - 4. Let v(b) = -6*b - 61. Let u be v(-10). Determine d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4*v + 5. Suppose -n - 2*x + 7 = 0, -24 = -9*n + 4*n + x. Is a(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 103*p - 273*p + 0*p**2 + 70*p - 276*p.\nAnswer: 2*p**2 - 376*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 36. Let h(b) = b + 14. Let q be h(-11). Suppose 2*o = -4*f + 58, -3*f + 7*f - 57 = -q*o. Calculate the highest common factor of j and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Suppose -m*z = -1 - 9. Differentiate z - x**3 + 0 + 4*x**3 - x**3 with respect to x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4 and 43\/9650?\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 - 10*z - 11. Let c be g(-8). Let r be (c - 3) + 1 + -3 - -11. Solve 0 = 3*l + 1 + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49929824*d**5 - 2239015*d**2 - 8*d wrt d?\nAnswer: 2995789440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18239121 divided by -5\nAnswer: -18239121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -n, -z = -3*n - 492. What is the lowest common multiple of z and 266?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x**2 - 47*x**2 + 22*x**2 + (-3*x + 6*x - 4*x)*(-2*x + x + 3*x) - 2 - 2*x**2 + 2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-4 + 24\/9. Let u = 1\/36 - 79\/252. Let x = 23\/30 + -7\/6. Put x, u, f in decreasing order.\nAnswer: u, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134370217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dks when three letters picked without replacement from {d: 2, s: 1, k: 2, m: 1, h: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 = 12, -q = 2*o - 512. Let n = q + -503. Let t be 4\/8 + 6\/(-20). What is the nearest to n in t, -6, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*r**2 - 167*r.\nAnswer: 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 124848700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -3437 and -5131 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p + 8 = 41*p. What is the second smallest value in -3, -0.2, 0, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338000 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 9:46 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8222130*0.1\nAnswer: 822213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468) + 1 + sqrt(468) + sqrt(468))*-5)**2.\nAnswer: 1200*sqrt(13) + 187225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -2\/13, 6\/11, -1\/31, -12557?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17441906 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -55. Suppose -a*m - 785 = -7*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.9683 - -10. Round d to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*10\/12*162\/(-20). Factor 75\/4 + 45\/4*l - h*l**2 + 3\/4*l**3.\nAnswer: 3*(l - 5)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 131, 121, 95, 47, -29?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 780216341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-2 - -1)\/(-4 + (-7398)\/(-1850))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7))**43*v*v*(v**6*v)\/v*v*v**8)\/(v**(-5)*v**(-8))**(11\/7) assuming v is positive.\nAnswer: v**(348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 59*j**5\/12 + 67*j**4\/24 - j**3\/2 + 603*j**2. What is the second derivative of y(a) wrt a?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.7665 less than -1755.1?\nAnswer: -1787.8665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 17, 36, 63?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.69 times -0.054422\nAnswer: 0.03755118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 30 + -33 + 12 + -12 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/((-27)\/(-5) + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 108.933. Let z = 0.06651 - g. Round z to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) -10.21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2055261*x + 12*x**3 - 2055261*x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 208739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-28 - -15) + 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**4\/2 + 5*a**3\/6 + 2*a**2 - 19*a - 13. Let y(d) be the first derivative of x(d). Find the second derivative of y(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-322 - (-72)\/(-18))\/18\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:59 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1193*r = 1328*r + 3780 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1022*l**3 - 1053*l.\nAnswer: -6132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30*(15\/5)\/21 and -37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Suppose m = -2*c - 2*c + 60. What is the remainder when 44 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31782.25 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -323, -347, -373, -401, -431?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 80 (b) 1\/4 (c) -1\/2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-63) + 4\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y + 19. Let n be s(-4). What is the least common multiple of 21 and 2*(n\/10 - -4)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 3*p - 4. Let n be t(-2). Suppose -4*q = -5*h - 0 + 9, -2 = -n*h. What is the closest to q in 0.4, 0.3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 1 - 2 + 1.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 8) in base 16?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1233 - 54133213?\nAnswer: -54131540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1067 + 68 - 107)*(-50*g - 8*g**2 + 50*g) + (-1 - 1 + 0)*(g**2 - 3*g**2 + 0*g**2).\nAnswer: -8220*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 8*n - 54. Give d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 - -1110010?\nAnswer: 11110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 1. Let y be h(2). Let k be (-2)\/6 - 32\/(-6). Let s be (-10)\/(-25) - y\/k. Solve 2*x = 2*z - 2, s*z = 4*z + 2*x - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37539?\nAnswer: 3, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 28) + -6 + -32 + 20?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8882.378 milligrams in nanograms?\nAnswer: 8882378000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*n**3 - 172*n**3 + 47*n**3 + (2*n - 2*n + 2*n**2)*(n + 5 - 5).\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9093 + -58344?\nAnswer: -49251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxj when four letters picked without replacement from {n: 4, k: 4, x: 1, j: 6, a: 2}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/24*9\/(-12)*(-16 + 60902)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 9*w**2 - 12*w + 12. Let r be y(-7). Let a = r - -6. Find the second derivative of -3*l**4 + a*l - 8*l**4 + 5*l**4 - 3*l**4 wrt l.\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*b**3 + 15*b**2 + 4*b wrt b.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-34)*y)\/y**29*(y**(1\/9))**(3\/11) assuming y is positive.\nAnswer: y**(-2045\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*(f\/(f\/((f*f\/f**(-9))\/f)))\/f)\/f))\/(f*f**(-2\/9)))\/(f**6)**2 assuming f is positive.\nAnswer: f**(-187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - 45*u**2\/2 - 375*u - 1750.\nAnswer: -(u + 10)**2*(u + 70)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*a**2 - 11*a**3 - 4 + 339*a**2 - 167*a**2 + 6*a + (2 - 8 - 20)*(-a**3 + 0*a**3 + 3*a**3) to the form r*a + k*a**2 + v + t*a**3 and give t.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:46 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 162.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2514*g - 10012. What is q(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 8. Calculate b(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i - 10 + 3 - 2*i. Let g be w(6). Round g to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 + 24*o - 113. Let i be r(5). Let h = 126 + i. Does 33 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -124 - 63a6?\nAnswer: -650a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -52 + 505\/42*n**4 - 5\/21*n**6 + 28*n**2 + 23\/14*n**5 + 1\/147*n**7 + 80\/3*n**3 + 2*n. Factor v(u).\nAnswer: 2*(u - 14)**2*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*o = -9*o - 27*o + 936. Which is the nearest to 2\/5? (a) o (b) 2 (c) 5 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o. Let j(v) be the second derivative of -1\/6*v**4 + o - v**2 - 2*v + 2\/3*v**3 + 1\/20*v**5. What is j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, -100, 3\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*q - 42. Calculate the smallest common multiple of 10 and ((-1)\/1)\/((-1)\/q).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 91. Let n(g) = g**3 + 2*g**2 - 3*g - 530. Let h be n(y). Calculate the remainder when h\/(-3) - (-2 - 0)\/6 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (22 - 9 - (81 + -44))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -155890700 rounded to the nearest 1000000?\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -126. Which is the nearest to o? (a) 11 (b) 1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*l**3 + 289*l**3 - 41*l**3)*(4*l - 6*l + l) + (-3*l**2 + 3*l**2 + 2*l**2)*(0*l - 2*l**2 + 0*l + (0 - 3 + 2)*(2*l**2 + l**2 - 4*l**2)).\nAnswer: -568*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1111*1.21.\nAnswer: -0.134431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*c + 30, -5*c + 4 = -21. Let r be d\/24*-6 - (-43)\/4. Solve -5*q - 3*x = -19, 0*q - 2*x = 2*q - r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4 + 13716*l**3 - 177530*l**2 - 3012768*l + 6625960 = 0.\nAnswer: -11, 2, 22, 6845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttwttwtwtwwtwwttww. Give prob of picking 1 t and 3 w.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**4 + 5913*o**3 - 157*o**2 + 20545134.\nAnswer: 12*o**3 + 17739*o**2 - 314*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 2*h - 17 + 9.\nAnswer: 2*h - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0684 * 5\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-52)\/16 - -2)*-108 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*(16\/40)\/(40\/50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, -5, 2942, 5 in decreasing order.\nAnswer: 2942, 5, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 173 = 2258. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1712 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4346 + 3278. Suppose 2*x = -4*b + r, x = -b + 4*b - 1417. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -29 - 9) + 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-12) + (-264)\/96?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Let q = -34 + 41. Let b = q - w. Calculate the highest common factor of 22 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 51 = d + 58 - 36, -167*l + 164*l + 5*d = -337 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22 - 82\/(-4))\/(-2 + 2 - 6). Let z be (-4)\/(-14) - (-8)\/7. Let n = -2.94 + -0.06. Which is the closest to 1? (a) n (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 3165.\nAnswer: -8\/3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 + 33*i - 15*i + 38*i - 13*i - 145.\nAnswer: 43*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 31655650.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 55, 84, 113, 142, 171?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 0.7. Let a = -1.1 + r. Let h = a + 0.5. What is the second biggest value in 0.1, 5\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18468870*r**2 + 14023826.\nAnswer: -36937740*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3553 + -3933.\nAnswer: -3933.3553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1423378\/(-27830) + 153\/3)\/((-2)\/(-25))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 + 8*u**4 - 92 + 92 - 8*u wrt u?\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3*m**3 + 867*f**2*m**3 - 19*m**3 - 11*m**2 with respect to f.\nAnswer: -9*f**2*m**3 + 1734*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Let y = -31\/8 + 27\/8. Which is the closest to o? (a) -5 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*3\/48)\/((-21)\/14). Which is the third smallest value? (a) -0.9 (b) s (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -539, -1076, -1613?\n\"Answer: -537*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2. Let i(r) = -1624*r**2 + 7*r + 8. Let t(y) = -1073*y**2 + 4*y + 5. Let j(m) = 5*i(m) - 8*t(m). Give j(n(u)).\nAnswer: 1856*u**4 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/150*-152*5\/(-9)*(-54)\/(-36)\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:19 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4 - (0 + (-6 - -5))) + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -170 divided by 10\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 13*j - 33. Let c be i(-16). Calculate the highest common divisor of 60 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021505? (a) -1.5 (b) -1\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 119947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let h = 7 + q. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 135 = 0. Let f(a) = 3*a - 2. Let s be f(3). Suppose 176 = s*l + 4*l. What is the remainder when h is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 20. Let h(l) = -3*l + 61. Suppose -116*g - 16 = -114*g. Determine g*j(c) + 3*h(c).\nAnswer: -c + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7 + 5 = 0. Let p be ((-2)\/3)\/(6\/18). Let k = p + f. Solve -3*a + 24 = -0*a + 3*x, k*x + 9 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7956 = 79*c - 43*c. What is the remainder when 6186 is divided by c?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -844 + 44734\/53. Let h(b) = b**2 - 8*b - 5. Let r be h(9). Suppose 0 = -2*x - r*z, -2*z = -4*x - 7*z. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11\/558?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -3\/13, 0.3, 1\/4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 18*l**2 - 25*l + 80. Determine m(19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351, -881, -1559, -2385, -3359?\nAnswer: -4481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0 + 5*i - 10*i + 2*i + 0. Let v(r) = r. What is -4*t(m) - 20*v(m)?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 17 + 88. Suppose 3*h = 2*w + 5, 7*h = -4*w + 2*h - o. Let r be (4\/6)\/((-24)\/36). Put 3, -3, w, r in decreasing order.\nAnswer: 3, r, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 12 + 13)*(-108*a + 52*a - 6*a) + (-1 + a + 1)*(-3 + 3 + 2).\nAnswer: -556*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -521993, -521908, -521767, -521570?\n\"Answer: 28*n**2 + n - 522022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1193, -2837, -4481, -6125?\nAnswer: -7769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 20 + 3 + 45 - 28.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1337, -1341, -1345, -1349?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 115026.06.\nAnswer: 690156.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.0583 years to centuries.\nAnswer: 6.360583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l**2 - 4*l + 2. Give x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -169\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 0. Let l = -3.7 - k. Sort 2, 1, l in descending order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.3 and -1049200051151.\nAnswer: -1049200051143.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 2 = 0. Suppose -3*b = -3*w - p*w + 5, -4 = 5*b - 4*w. Suppose b = -v + g + 15, -4*g + 6 + 2 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 77*w**2\/2 - 838. Let g(u) = 20*u**2. Give q(g(m)).\nAnswer: 1540*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -641*d**3 + 3*d - 31862.\nAnswer: -1923*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/5 - 123032*t\/5 - 946054564\/5.\nAnswer: -4*(t + 15379)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.3 (c) 54.138 (d) -0.5 (e) 1 (f) 59\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001778 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/86?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3809 and 357824807.\nAnswer: 357828616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213211223303111 - -11?\nAnswer: 213211223303122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 453796?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -0.1 (c) -2\/17 (d) -25\/53367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 73*u + 16. Let a be z(25). Suppose -a*q + 12 = -63*q. What is the highest common divisor of q and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 + 110*a**2 - 807*a - 918 = 0 for a.\nAnswer: -1, 9, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)*-3)\/sqrt(2).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*z - 101*z - 2082. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 14*b**2 + 2. Let i be h(14). Let t(w) = -w - 2. Calculate t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktwckqwcwk. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 412, 1528, 3996, 8314, 14980, 24492, 37348?\n\"Answer: 83*m**3 + 178*m**2 + m + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111.1 + 111.17. Let j = -7\/48 + -3\/16. Let w = 2545\/2 - 1274. Put w, 1\/5, m, j in ascending order.\nAnswer: w, j, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.3 - -8. Let n = 8 - 8. Which is the nearest to 1\/3? (a) 3 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 37. Let z be w(-7). Suppose 4 = 4*d - 2*i - 4, -4*i - 16 = 0. Solve d*b + 25 = z*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o. Suppose 2*c - 5*q = -125, 7*c - q - 107 = 9*c. Let t(b) = 154*b. Calculate c*n(r) - 6*t(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 13 - (1 + -8)) + 4 + -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(55)\/((sqrt(5) + sqrt(30)\/sqrt(6))*5).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1848 and -127\/477840.\nAnswer: 3344880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 4, -0.3, 1\/7, 2, 1 in decreasing order.\nAnswer: 4, 2, 1, 0.15, 1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrcrccrrr. What is prob of sequence rc?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 0*g**2 + 2*g - 65 + 66 + 2*g**2. Let j(q) = -q**3 - 14*q**2 - 12*q + 10. Let b be j(-13). Determine n(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 184, -2, 14, -9, 24.\nAnswer: -9, -2, -1, 14, 24, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -324.93 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -19*s + 14. Let r(l) = -9*l + 7. Let u(b) = 4*k(b) - 9*r(b). Let n(j) = -j**2. Calculate u(n(t)).\nAnswer: -5*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 36 = 3*u. Let n = -8 + u. What is the units digit of (-2 + 0)*(-14)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4106042496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -597 and 0.082.\nAnswer: -48.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -0*g. Let y(n) = -7*n**2 + 5. Let v(s) = 6 + 4 - 9. Let l(p) = 4*v(p) - y(p). Give l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -193, -238, -301, -382?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/39 or -116644\/21?\nAnswer: -116644\/21","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/32864?\nAnswer: -9\/32864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*o*o**(2\/21)*o)\/o)\/o**10*o\/o**(2\/61)*o**3)**12 assuming o is positive.\nAnswer: o**(-9928\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -36. Find the third derivative of -8*k**y + 412 - 2*k**2 - 412 - 6*k**3 wrt k.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303593963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -238\/3. Let a(n) be the first derivative of 2*n + 0*n**2 - 5 - w*n**3. What is the first derivative of a(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose -217 + 37 = -5*a. What is the greatest common divisor of a and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooopoop. Give prob of sequence popp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*i**2 - 80*i**3 + 321*i**2 + 299*i**2 + 82*i**3 - 899*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*y = y - 8, -8 = -3*a - y. Let d(r) = -3 + r**a - 3 - 8*r + 5*r**2 - 7. Let n be d(-6). Put n, 5, -2 in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4 = -3*h - 3*t, -5*t = 2*h - 14. Let m = -132772 + 929410\/7. What is the closest to -2\/3 in m, -5, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/55 - 9\/11. Let j = -15.702 - -15.202. What is the third smallest value in c, 0.4, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43813 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 - 5*t**2 - 8*t + 10. Let v(s) = -3*s**3 + 4*s**2 + 9*s - 9. Let l(a) = -2*j(a) - 3*v(a). What is the units digit of l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 3*w**4 - 4*w**4 + (-5*w - 7*w + 8*w)*(-6*w**3 + 4*w**3 + 6*w**3).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 0 + 1\/4*j**3 - 1\/4*j**2 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*t, -738*s - 2*t + 16 = -733*s. Solve 0 = -2*l - 2*c - s, 28*l - 26*l + 4*c + 12 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 264 - 33 = 0. What is the smallest common multiple of 7 and ((-16)\/(-6))\/((-14)\/c) + 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 75 (c) 3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 6*k. Let u(y) = -y**3 - 30*y**2 - 28*y + 26. Let s be u(-29). Let a be n(s). Factor 2\/5*x**2 - 2\/5*x + a.\nAnswer: 2*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-5)\/(-3))*-1. Is -6 + a + 20\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 8788604?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.1 and -1405?\nAnswer: 1407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Suppose 5*q = 2*p + 38, 0*p - 2*p + 2*q = 26. Let i(j) = 2*j - 6*j - 3 - 1. What is p*u(w) + 2*i(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000107230058 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13223.\nAnswer: 7, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l - 55. List the prime factors of t(11).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - b. Suppose -43 = 6*g + 5. Let w(q) = 11 - 2*q**2 + 9*q - 2*q**2 + 5*q**2. Let j be w(g). Let a(i) = -i**2 - i. Determine j*n(r) - 4*a(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 7:52 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200588291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r + 2*t - 50, 0 = r - t - 8. Let j(v) = -5*v**3 + 4*v**2 + 4. Let b(i) = 9*i**3 - 7*i**2 - 7. Give r*j(y) + 6*b(y).\nAnswer: -y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 0*r**2 + 5*r**4 - 4*r**4 - r**3 + 3*r**2 + r to the form q*r + u + z*r**3 + w*r**2 + p*r**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/114*(-32)\/84?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 702 and 546.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 10125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 354, 423, 498, 579, 666, 759?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1099*b**3*d + b**3 - 29*b**2*d + 90102640*d wrt b?\nAnswer: 3297*b**2*d + 3*b**2 - 58*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*q + 1, j + 0*j = -q + 2. Let w(p) = -11*p**2 + 2*p - 1. Give w(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*g + 176, -g - 16 = v - 44. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2299) + 4 + 5 - (-5 + (sqrt(931) - (-1*sqrt(931) + sqrt(931) + 2)**2)).\nAnswer: 18 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, l: 9}. Give prob of picking 2 l and 1 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (370\/(-74))\/(8\/(-6))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, -17, 0, -587, -6.\nAnswer: -587, -17, -6, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/14 - 4\/(-14). Let h = 121 - 120. Sort n, 3, h in descending order.\nAnswer: n, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x - 1. Let o be 1 - 0\/x - -13. Suppose o = y + y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -4145*m + 4169*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2 and (708\/72)\/(3\/1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1747*i + 34834*i**2 - 34836*i**2 - 1760*i.\nAnswer: -2*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1666925 divided by -14495\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79069.\nAnswer: 37, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177\/140 - -9\/140. Suppose -3 = -7*v + 4*v. Let m = -2.9 - -3. What is the closest to m in g, v, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81919*b**3 + 1 - 1 - 81935*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 1786?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/4 + l**3 - 3*l**2\/4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143436, 288266, 433096, 577926, 722756?\nAnswer: 867586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5, t - 3*t + 8283 = 5*f. What are the prime factors of f?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i**2 - 79*i - 30. Let o(q) = -8*q**2 + 58*q + 22. Let z(v) = -11*n(v) - 15*o(v). Let j(c) = -56*c**2 - 3*c. Give -j(l) + 3*z(l).\nAnswer: 53*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*x**3 - 528*x**3 + 989*x**3 - 517*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bboocbolfbolfmbfbl. What is prob of sequence obfl?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y - 5. Let g(t) = -8 + t - 11*t - t. Let n(h) = -8*a(h) + 5*g(h). Let x(q) = 17*q. Calculate n(x(s)).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 0. Suppose w = x - 5*a + 20, -x - 4*x + a + 20 = 0. Suppose z = 5*o - 2*z - 13, -x*o - z + 29 = 0. Solve o*r - 2 = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 9 (c) -2\/9 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -42*d**3 + d**2 + 40*d + 208. What is the tens digit of x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001\/7 != 287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 236487 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25113 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - k - 9 = 0, 0*s + 4*s - 2*k = 12. Let h(o) be the second derivative of -o**3\/3 - o**2\/2 - 121*o. Let r(f) = -f. What is s*r(l) - 2*h(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529320 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p + 10. What is q(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 5*z**8\/84 + z**4 + 7*z**2 + 29. Let k(i) be the second derivative of a(i). Find the second derivative of k(x) wrt x.\nAnswer: 400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 53, 75, 83, 71, 33?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.5 - -16. Let g = 51.6 - 51. Let w = x - g. Which is the third smallest value? (a) -0.5 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/151 - 136\/755. What is the third smallest value in 2, q, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -0*y. Suppose 5*b = 5*c, 5*b + 0*b - 4*c = 0. Let t = b - -4. Solve t*i - 14 = y*h + 10, 2*h + 8 = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160032 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 500 = 2*n, 5*n = -2*t + 4*t - 262. Let x(h) = -157*h**2 + h - 6. Let g be x(2). Let o = 646 + g. What is the greatest common divisor of o and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303379 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 1 + 1)*(7 + 6 + 2*u - 14) + u + 5*u**2 - 2*u - 2*u**2.\nAnswer: 5*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ablj when four letters picked without replacement from {j: 5, a: 1, l: 2, b: 3, g: 1, w: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -552\/4630847?\nAnswer: -552\/4630847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234433265 rounded to the nearest 100000?\nAnswer: -3234400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 - o**2 - 62422*o - 16851746?\nAnswer: -9*o**2 - 2*o - 62422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b. Let u(n) = -3*n**2 - n**3 + 6*n**2 - 2 + 2*n - n**2. Let p be u(2). Is q(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:33 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(95) - -5*1*sqrt(95) - sqrt(95))\/(-1*sqrt(5)*6 - sqrt(5)))**2.\nAnswer: 10*sqrt(19)\/7 + 524\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*-2 - sqrt(65) - sqrt(65) - -1*(sqrt(65) + (sqrt(65) - -2*sqrt(65) - sqrt(65))))\/(-6*sqrt(1280)*-2).\nAnswer: -sqrt(13)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15963083\/1793 + 8903. Let f = -141707\/26895 - r. What is the common denominator of -49\/18 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -669.889 - -669. Let l = -0.111 + u. Let a = -0.2 + 0.1. What is the closest to l in -0.6, a, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 491747279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.67 + 0.6. Let k = 0.13 - y. Let n = -586\/45 - -64\/5. Sort k, n, 7 in decreasing order.\nAnswer: 7, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 33*n**2 - 33*n - 30. Let y be v(-32). What is the smallest value in -4, -5.65, y?\nAnswer: -5.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/2 + 4*l**3 - 12*l**2 + 16*l + 10. Let f(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*4*2. Suppose -9*k - 43 - 29 = 0. Let g be (k\/s - -4)*(-28)\/(-6). Calculate the highest common factor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62366, 124736, 187104, 249470?\nAnswer: 311834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11698913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 2*f**2 - 2. Let l be c(5). What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*f - 5*f + 109, 3*f = 5*v - 99. Suppose 7*p - v = 14. Solve 36 = -p*i + 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m + m)*(-3 - 3*m**3 + 3 + 7*m**3 - 4*m**3 - m**3 + (5*m - m - 2*m)*(-4*m**2 - m**2 + 3*m**2) + 0*m**3 + 0*m**3 + m**3).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((9*o - 13 + 13)*(-5*o + o + 3*o) + 2*o + 3*o**2 - 2*o)*(-2*o + o - 2*o) to the form m*o**3 + v + y*o**2 + q*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -204, -348, -530, -756?\n\"Answer: -d**3 - 10*d**2 - 75*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*x - 5425 - 1091 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 11) + (6 - -3 - -6) + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 9 = 3*s + 2*s, 0 = 3*l + 5*s + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1858, 0 in descending order.\nAnswer: 1858, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348997\/4 - 87249. Let g = 0 + -0.5. What is the smallest value in -4\/5, -0.1, p, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237900023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -347*h - 11093. Determine c(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1098, 1101, 1102, 1101?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndnzdnnnndiuniinnd. What is prob of picking 4 n?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {d: 6, y: 7, n: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15\/19, -1\/2, 3, -0.09?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47818.\nAnswer: 2, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1130, 2087, 3040, 3995, 4958, 5935?\n\"Answer: c**3 - 8*c**2 + 974*c + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 407 = 3*q - 128, q + 2 = 0. Calculate the remainder when z is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*p - 185, 0 = p - 11 + 10. Calculate the highest common divisor of v and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 64*j + 33*j. Which is bigger: 96\/53 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y**3 + 70*y**3 + 2*y - 34*y**3 - 2*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from {y: 5, c: 2, m: 1, j: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 571566.8 rounded to the nearest one hundred?\nAnswer: 571600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654, -717, -782, -849, -918?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -12 + 4 + (-8 - -16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + (6 - 3) + (7 + -6 - -9).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*a**3 - 12*a**3 - 35 + 8*a**3 - 4*a**3 with respect to a.\nAnswer: -99*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 <= 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 158, 186, 264, 416, 666?\n\"Answer: 4*y**3 + y**2 - 3*y + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 782058 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*50\/(-400))\/(2*1*(-5)\/(-235)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 865, 896, 927, 958, 989?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*f - 4*r, 2*f + 0*f - 2*r = 52. Let a be 1\/(f\/(-84)) - -4. Let k be 708\/826 + 12\/(-14). What is the nearest to k in -0.02, -2\/3, a?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -203871008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.27, 2\/21, 184, 1\/94, 2\/11, -0.3, 3\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-4)\/(sqrt(20)\/(sqrt(10)*1)))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4917?\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -80, -42, -2, 40, 84, 130?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1765? (a) -0.01 (b) 3\/7 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r**4 + 77*r**3 - 1 - r**2 - 77*r**3 + 4*r**2 in the form c*r**4 + t*r + u*r**2 + i*r**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18798 - 18795. Is t greater than -582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**2 + 0*q**2 + 5*q - 8 + q. Let z be j(-17). What is the greatest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5670, 22675, 51016, 90693, 141706?\nAnswer: 204055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.06, 16237, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*i - 691 = -4*s + 331*i, -3*s + 512 = 4*i. What is the greatest common factor of 20 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x. Let y(k) = -679131*k**2 + 4*k. What is y(c(g))?\nAnswer: -67913100*g**2 - 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -93\nAnswer: -151\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19553493*t**2*x + 1168985*t*x + 2*x wrt t.\nAnswer: 39106986*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27321116 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 181, -1463, -4197, -8021, -12935, -18939?\n\"Answer: -545*s**2 - 9*s + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.76635843 to 2 dps.\nAnswer: -29.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:59 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**8\/2520 + w**6\/120 + 7*w**5\/60 + w**2. Let m(r) be the third derivative of i(r). Differentiate m(n) wrt n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*j + 465, 5*v + 2*j + 3*j - 575 = 0. Let d = v - 31. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 612*c - 53. Let g(t) = 12*t. Let b be g(1). Is y(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 72 + 29)*(-4*d - 3*d + 5*d + (2*d - 2*d - 2*d)*(-1 + 1 + 4)) to s + g*d and give g.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2013080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = 21. Suppose 0 = d*r + 12, 2*u = -u - 3*r + 30. Let w = 9 + 4. Calculate the highest common divisor of u and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 9*p**2 - 22*p + 33. Calculate o(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-15) - -1)*40\/(-16). Let j be 1\/3 - 7\/(-6). What is the third smallest value in s, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 4*p + 3*p + (-2 + 0 + 0)*(3*p - 3*p - p) + 4*p - 4*p + 2*p - 2*p + 67 - 181 + 48 - p + 5*p - 5*p + (2 - 3 + 2)*(0*p + 0*p - 2*p) - 6*p + 0*p + p.\nAnswer: -5*p - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5355 (base 13) to base 11\nAnswer: 8761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.1713626 months?\nAnswer: 0.00009761355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-1)\/(-3))\/((-2)\/18). Suppose 4*t - 6*t - 4*m = -380, -4*m + 562 = n*t. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 + (-4 - -3)*2 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*t = 33050004, t - 6610008 = r - 3*t. Round r to the nearest 100000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**17\/(b*b\/b**(-9)*b\/(b**(-2\/5)\/b)) assuming b is positive.\nAnswer: b**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16298.4 + -16301. Which is the second smallest value? (a) l (b) -0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511600 rounded to the nearest 10000?\nAnswer: 3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - -3.01. Let u = f - -1.59. Let g = 0.2 + u. Sort g, -0.08, 0.1.\nAnswer: -0.08, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 5) in base 15?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - j - 4. Determine i(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*v + 21880 - 760 = 34*v. Calculate the remainder when 301 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -387*h**3 + 43*h**2 - 96520*h.\nAnswer: -2322*h + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-2)\/12). Let y(n) be the third derivative of n**2 + 2\/3*n**3 + 1\/24*n**4 - 1\/120*n**6 + 0*n + 0 - 1\/15*n**5. Determine y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290 - -195. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -133.5, 1\/4, -15\/22, 0.3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665 (base 11) in base 7?\nAnswer: 23563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 11*q**2 + 14*q - 26. Let w be c(12). Sort w, 1\/9, -1 in descending order.\nAnswer: 1\/9, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 196*a = -1187 - 325 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 745 and 77927.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 185, 411, 727, 1133, 1629, 2215?\n\"Answer: 45*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**3\/5 - 8*k**2\/5 - 2*k\/5 = 0. What is k?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.066 + -6.034. Let i = -5.7 - o. What is the smallest value in -4, -34, i, 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 7*t - 10. Calculate s(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - u - 1. Let z be b(-1). Let q = -3 + z. Suppose q*x + 40 = 8*x. Solve -4*r - x = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 6. Let x(v) = -2 + 83*v - 3 - 80*v. Calculate -4*h(i) + 5*x(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*q**4 - 319*q**3 + q**2 + 19*q - 16901648 with respect to q.\nAnswer: -80*q**3 - 957*q**2 + 2*q + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 39*b**3 + 10*b**2 + 6*b - 268. List the prime factors of v(9).\nAnswer: 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.540007724 + 7.54. What is t rounded to seven dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -53 (c) 0 (d) -0.2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1410, 1538, 1678, 1830, 1994, 2170, 2358?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -164*s**2 - 6*s - 1. Let g(z) = 3*z**2 - 2*z. Calculate b(d) - 4*g(d).\nAnswer: -176*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, 1 r, and 1 y when four letters picked without replacement from {i: 5, s: 8, r: 1, d: 1, y: 5}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7589, 5137, 2685, 233?\n\"Answer: -2452*w + 10041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p**2 - 30 + 30)*(-4*p + 0*p - 10*p) + (4*p - p - 4*p)*(-2*p - p**2 + 2*p) + 2*p**3 + 0*p**3 + 0*p**3.\nAnswer: -151*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3064376, -6128752, -9193126, -12257498?\n\"Answer: j**2 - 3064379*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86113279 is divided by 440?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 668.654 + -666. Let d = -0.654 + k. Which is the closest to -1? (a) -9\/10 (b) d (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 4*u**2 + 5*u - 6. Determine q(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 1 + -1)*2230\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 10*c + 27. Is n(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b - 2*b**3 + 4*b**3 - 4*b**3 - 4 - 3*b**2 + 5*b**3. Let v(s) = s**3 - s + 1. Let x(a) = u(a) - 2*v(a). Give x(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47544185 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78746.19m in kilometers?\nAnswer: 78.74619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3078 is divided by 341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.17, 0.5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {i: 3, f: 1, b: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5471, -5475, -5479, -5483?\nAnswer: -5487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 * 0.04\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 1:23 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5814 divided by 102?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -210 - 128*h**3 + 210 + 0 + 2*h**3 + 0 + 7 - 7 + 4*h**3 + (-2 + 2 - h**2)*(h - 2 + 2).\nAnswer: -123*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3 + -10 + 489244\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let i(d) = 2392*d - 8 + 21 - 1201*d - 1198*d. Determine -5*a(b) - i(b).\nAnswer: 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-1\/7)\/(((n\/n**(4\/7))\/n*n)\/(n\/n**(-3)*n)) assuming n is positive.\nAnswer: n**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 - -246. What is the remainder when 123 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Suppose 375*l = 366*l + 54. Let o(q) = q - 4. What is l*w(j) + 7*o(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 33*k + 626. Calculate o(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -142642\/7 at most as big as -20377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -46445*j + 485. Let q be b(-7). What is q rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i + 2. What is f(5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-40))\/((-6)\/(-48)). What is the nearest to 1 in -0.2, 0.2, b, 91?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7888\/(-8704)*8\/(-232)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 780, 949, 1118?\nAnswer: 1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiuradinuuuid. What is prob of sequence ra?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**(-25)*f**(-1\/9)*f**(-14\/9)*f)**(-1\/74) assuming f is positive.\nAnswer: f**(-67\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m - 5*y, m - 8 = -4*y + 3. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4523978 is divided by 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**3 - 2*r - 4. Let l(p) = -4*p**3 + p + 4. Let m(s) = 5*a(s) + 4*l(s). Let v(d) = -19*d**3 + 13*d + 9. Give 13*m(h) + 6*v(h).\nAnswer: 3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -56830*l**2 + 10*l + 0 + 56829*l**2 + 4. Give p(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -461*h**6\/30 - 2303*h**5\/100 + h**4\/30 + 2738*h. Factor m(f).\nAnswer: -f**2*(f + 1)*(2305*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848582733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(171))**2 + (sqrt(190) - (sqrt(190) + ((sqrt(190) - (sqrt(190)*2*2 + sqrt(190))) + sqrt(190) - sqrt(190))))\/sqrt(10).\nAnswer: 4*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (16 + -2 - 12 - (-1 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 10376 = 5*d + 12246 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/11313 - -1086058\/56565. Find q such that -256\/5*q - 1\/5*q**4 - w*q**2 - 16\/5*q**3 - 256\/5 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88708.2084ms to weeks.\nAnswer: 0.000146673625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -5. Let q = -2 + x. Suppose q*p - 675 = p. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-4))\/((8 - (-535)\/50) + -19)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6924 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/90 + 7*s**4\/54 + 17*s**3\/27 + s**2 - 80*s. Solve c(b) = 0 for b.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74483111\/(-5248575) - (-71)\/5?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4311 + 1544*a**4 - 1048*a**4 - 1006 wrt a?\nAnswer: 1984*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549 is divided by 831?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*y + 274801, -101556 = -4*y + 2*g + 173242. Let w = -65299 - y. What is w rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1369*x**3 + 406*x**3 - 405 + 399.\nAnswer: 1775*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21104124 (base 6) to base 9\nAnswer: 1136827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(3 - 3 + 2*q)*(3 - 2 - 4)*(864 + 110 - 17)*(-2 + 2 - 1) as c + w*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4938, -4933, -4918, -4887, -4834?\nAnswer: -4753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16*f**3 + 13*f**2 + 6*f. Let z(y) = -49*y**3 - 38*y**2 - 17*y. Let n(v) = 17*i(v) + 6*z(v). Find the third derivative of n(a) wrt a.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-11)\/66). Let u be z + (-27)\/(-3) + 3. Solve 0 = -0*r - 3*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h - 3*r, -2*h = -7*h + 5*r - 5. Does 17 divide -1*2\/h*-41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4353311 and 166.\nAnswer: -722649626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/12*(-3)\/(-2). Suppose -r*m = 12*m - 5510. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 80 = -4*j, 0 = 2*i. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185526 and 652152.\nAnswer: 21521016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1486*q**2 + 1485*q.\nAnswer: q*(q + 1)*(q + 1485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - 0.1. Let t be (7\/28)\/(14\/(-16)). Is t at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.12 + -3.2. Let p = -1.853 - 0.027. Let n = p - 0.12. What is the second smallest value in n, -3, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 908.\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 3)*(127602 - 127602 + 64*z).\nAnswer: -896*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(21\/(-226)) + 30\/(-105). Let l = p - 30. Solve -1 = l*n + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 4 + -4)*-61. Let a = r - -67. Is ((-5)\/a + 4\/12)*-1582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2) + (7\/84)\/((-3)\/(-18)). Suppose -3*w = w. What is the third biggest value in 4, w, -0.13, y?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2079 divided by 6\nAnswer: -693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, 43, -4\/7, 3, 0, 95?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 42\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12.3214 and -0.005?\nAnswer: 12.3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -80*m**3 - 11*m**2 - 3*m - 6. Let c(p) = 27*p**3 + 4*p**2 + p + 2. Give -11*c(t) - 4*w(t).\nAnswer: 23*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.09299122*4\nAnswer: -4.37196488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000545 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643 + 842 = -135*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 18*n + 3. Let h be m(-18). Let c be 2 + (1 - (4 - h)). Suppose 3 = -c*f + 3*z, 9 + 0 = 5*f - 2*z. Put 0, 4, f in descending order.\nAnswer: 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -7. Let z(p) = -p**3 + d*p**2 + 1 - p + 3 - 2 + 2. Calculate z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 8608607219?\nAnswer: -8608607219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393866, 393850, 393812, 393740, 393622?\nAnswer: 393446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/819 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25228367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 5, -70 in decreasing order.\nAnswer: 51, 5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100100 - 10?\nAnswer: 100111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**3 + 39*w**2\/2 + 120*w + 63. Factor i(n).\nAnswer: 3*(n + 5)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*u**2\/9 - 67162*u\/9 - 6716\/9.\nAnswer: -2*(u + 3358)*(10*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:03 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16408392*h - 5469461*h - 5469466*h - 5469465*h - 33*h**2.\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.284 - 0.084. Which is the fourth biggest value? (a) h (b) 16 (c) 0.4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-1)*1729\/2184*(-60)\/(-13110).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -700, -908, -1468, -2554, -4340?\n\"Answer: -29*u**3 - 2*u**2 + u - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059321 is divided by 281.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 11*z - 4*z - 24 + 2*z + 5*z + 0*z + (0*z - 2*z + 0*z)*(1 - 2 + 2))*(z**3 - 2*z**3 - z**3).\nAnswer: -24*z**4 + 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296240, -296239, -296238, -296237, -296236, -296235?\nAnswer: -296234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfafphffxxxaxfhppxaa. What is prob of picking 1 x and 1 k?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -3620 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(70\/(-563)))\/(48\/23770). Let g = j - -27878. Find the common denominator of g and -1\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73\/(-12775))\/((1\/2)\/(119\/(-34))).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 92 + 659 = 0. Let g = 1147 + -771. Suppose -7*n = -g + 208. What is the remainder when m is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289429310*a**2 - 20*a + 4000044 wrt a.\nAnswer: -578858620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 454980560 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -677 (base 15) to base 5\nAnswer: -21322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49277504*c**3 - 113464179*c**2?\nAnswer: -295665024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -607 - -674. Suppose 15 = -b*k + 62*k. Suppose 3*a = 2*p - 7 - 0, p + 2*a + 7 = 0. Put 0.2, p, -5, k in decreasing order.\nAnswer: 0.2, p, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2369*m**2 - 207*m + 207. Let j(p) = -23*p**2 - 2*p + 2. Determine 207*j(v) - 2*q(v).\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -5014?\nAnswer: -5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/8 + 7*w**3 + 3*w**2. What is the remainder when z(0) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, w: 5, u: 4}. Give prob of picking 2 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8\/u*u)\/u*(u*u\/((u*u*u\/(((u**(-1\/4)\/u)\/u)\/u)*u)\/u*u))\/u)\/(u**(-1))**(-23)*u\/(u**5\/u)*u**(-5)*(u\/(u\/u**0)*u)\/(u*u\/(u**4*u)) assuming u is positive.\nAnswer: u**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - -6) + 897\/39)\/(2\/2*-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120852 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + sqrt(75) + (sqrt(75) - (sqrt(75) + 0 - sqrt(75))) + sqrt(75))**2 + 4 + 3 + sqrt(75)*1)*6.\nAnswer: 30*sqrt(3) + 7242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.07 + 0.252315328\nAnswer: 1.322315328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3353733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28828 divided by -13\nAnswer: 28828\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 100*j**2 - 465*j - 630.\nAnswer: -5*(j + 3)**2*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**4 - 76 - 5*k + 188 - 112 + k**2 - 2*k**3 as r*k**2 + q*k**4 + m + t*k**3 + v*k and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose -4*g + 9 + 27 = h. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**10\/v)\/(v\/(v**1\/v)))**(19\/2))**(1\/44) assuming v is positive.\nAnswer: v**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 2\/5 (b) -6\/7 (c) -0.1 (d) 0.5 (e) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 6, 2, 2\/65, -24?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1641.772 centimeters?\nAnswer: 0.01641772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968 divided by 82?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 - 12*l + 7*l**3 + 12*l)*((3 - 2 - 2)*(-8*l - 32*l + 0*l) + l + 2*l - 4*l).\nAnswer: -78*l**5 + 273*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 32*u + 137. Give m(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) 16\/11 (c) -1 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = -129*u - 30*u. Let m(a) = -9*a + 4. Let l(w) = -1. Let t(f) = 5*l(f) + m(f). Determine t(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (102\/4)\/((-15)\/(-40)). Let y be 2 + 0 + b\/4. Suppose 2*c = -2*l + 28, 5*l - 110 = -0*l + 3*c. Calculate the greatest common factor of y and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7144469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -635249096*o - 836979988.\nAnswer: -635249096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -14, -6, -15998?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 76.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64864 is divided by 4631.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(3\/(-26)) - 2. Let g = x + 39. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 2266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.72 - 20.\nAnswer: -47.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 0*a)*(-6*a + 6*a - 2*a**2)*(-7*a**2 + 4*a**2 - 5*a**2).\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.0209 (c) -5 (d) -0.05 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38053?\nAnswer: 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7616*y + 22907. Give x(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205\/3 - -69. Let m = -15\/184 - 1\/23. Which is the nearest to o? (a) m (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286475 and 1487325.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -5, 2\/23, -92, -4, 1\/7.\nAnswer: -92, -5, -4, 2\/23, 2\/19, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/12 + o**3\/6 - 4*o. What is the second derivative of c(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 386\/6 + (-1)\/3. Suppose -3*b - o = -5*b. What is the remainder when 126 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)*(-12 - -15). Solve 4*i + h + 0 = 4, -1 = -i + b*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 18*z - 20.\nAnswer: 2*(z - 1)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1057735*j**2 - 3*j + 836156?\nAnswer: 2115470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*m + 7*m. Let v(d) = 7*d + 12. Let f(h) = -1 + 23 + 13*h + 1. Let p(j) = m*v(j) - 6*f(j). Determine p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 23084291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2551822403?\nAnswer: 13, 1709, 114859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -11*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 4 + 1.\nAnswer: 5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -16. Let c = 17 - n. Let q = 8.999982 + c. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -502?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -228, -267, -330, -417, -528?\n\"Answer: -12*d**2 - 3*d - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25584, -25350, -25116, -24882?\n\"Answer: 234*p - 25818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*k = 20*k - 405 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/40 in 2\/11, -3, -1\/4, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11+224\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20952 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8003.7 to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/6 + 2*u + 28. Let j(c) = -4*c**2 + 3*c. Suppose 3*l - 4*l + 3 = 0. Determine l*n(f) + j(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5888474, 5888383, 5888292, 5888201?\nAnswer: 5888110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/54 and 62\/207981?\nAnswer: 415962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -628.475 * -0.4.\nAnswer: 251.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 1. Let a(j) = -j**2 - j. Let i(t) = 6*t**2 + 6*t + 1. Suppose -4*b = -9*b + x - 16, 0 = -4*b - 3*x - 28. Determine b*a(g) + o*i(g).\nAnswer: -2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3490 or -173441?\nAnswer: -3490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n**2 - 2*n - 1. Let m(p) = -28*p**2 + 7*p + 4. What is 7*l(c) + 2*m(c)?\nAnswer: 7*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188191507?\nAnswer: 7, 1153, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 118155030 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 3*d + 4*d + (45 + 62 - 130)*(9*d - 15*d - 15*d) to the form t + f*d and give f.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100794282*g**2 - 201588536*g**2 + 100794269*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 6. Let s = 11 - 10. Which is the second biggest value? (a) 3 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 997.2929 litres?\nAnswer: 997292.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnunununuunu. What is prob of sequence nun?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 1266.\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)\/w*w**(3\/8)*(w\/(w*w**(1\/3)))**(-1\/8)*(w*w*w*w*w**(-3\/7)*w*w*w)\/w**(-8)*(w**(-2\/9)\/w)\/w*w*(w**(5\/3)\/w*w)\/w assuming w is positive.\nAnswer: w**(3329\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-435)*120 + 1*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1751378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*d + 561*d - 2*w = 14, 4*w - 2 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 21*g**6\/4 + 8587*g**3\/6 - 1190*g**2 + 2*g. Differentiate v(d) wrt d.\nAnswer: 1890*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 117574*k**2 + 117574*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2759097 and 33.\nAnswer: 2759097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(-5)\/y*y*y)\/y*y))\/(y*y**5*y)*(((y*(y**1\/y)\/y*y)\/y)\/y)**(2\/163) assuming y is positive.\nAnswer: y**(-491\/163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32144363, 64288715, 96433067?\n\"Answer: 32144352*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 360.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7695.383 centuries to millennia.\nAnswer: 769.5383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.5, 0.1, -0.1, -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 508035529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -2) + 2\/2. Suppose -120 + 340 = y*u. What is the remainder when u is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4062, 782, 4, -2 in descending order.\nAnswer: 4062, 782, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:59 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3*i = -7*v + 261, -2*i = 3*v - 739. Suppose -v = t + 119. What is t rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 66810104 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*q = 18, -h - 3*q + 7*q = -21. Suppose 8*m = 5*m. Suppose -h*i = -m*i. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - g - 3*g)*(2*g**2 + 4*g**2 - 7*g**2)*(-3*g + 2*g + 0*g).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:08 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1382, -2732, -4082?\n\"Answer: -1350*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6232572 and -25\/243.\nAnswer: 56093148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2174*o**4 + 11*o**3 + 57353*o wrt o?\nAnswer: -26088*o**2 + 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -170\/3, 0.3, -1, -7\/4, -0.2, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s - 3. Let a(j) = 5*j - 2. Calculate -7*a(b) + 4*o(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6756*g**3 + 4992 - 4992.\nAnswer: -6756*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - 8\/(-4). Solve h*k + k - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 22.1. Let k = d - 0.899986. Round k to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/72)\/(3\/4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -1703514, 2, 3.\nAnswer: -1703514, -3\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -2*w**3\/3 - 187*w**2 - 2241*w. Let l(m) = m**2. Give b(l(d)).\nAnswer: -4*d**2 - 374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -5*y**3 + 147*y**2\/2 - 169. Find the second derivative of b(q) wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011822626 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5801186.\nAnswer: 2, 821, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.33? (a) 0 (b) 283 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 0.17. Let q be -1*(-4)\/10 + 380\/50. Let c be -1*q*4\/(-40). Sort -1, d, c, 0.9 in descending order.\nAnswer: 0.9, c, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f + 1. Let p be t(0). Let m = p + 1. Let n(c) = 3*c**2 + 2*c**2 - 3*c**m - 3*c**2. Let j(g) = -5*g. Determine n(j(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 275768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -115 + 34. What is the common denominator of g and -56\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/23, -0.1, 5, 0.5, 0.1, -35?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 265 and 43582?\nAnswer: 11549230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {f: 3, w: 4, r: 8, y: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331620 and 2380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dved when four letters picked without replacement from {d: 5, i: 1, o: 1, v: 1, e: 1}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3721.9 - 3721.900034478. Round f to seven dps.\nAnswer: -0.0000345","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 11\/(-4). Suppose -135*z + 260*z - 159*z + 204 = 0. Solve 9 = y*g + z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000098909221 to 6 decimal places.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1937 + -1868. Calculate the remainder when l is divided by 63.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*a**4 - 4*a - 13*a**2 + 8*a**2 - 758*a**4)*(a + 0*a + 2*a).\nAnswer: -18*a**5 - 15*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (2*sqrt(343))**2 + sqrt(343))*1.\nAnswer: 14*sqrt(7) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/(-7)*(-359)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -3 (c) 0.303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -127331\nAnswer: -2\/127331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.2 - 4.2. Let t = -19.1 + q. What is the nearest to t in 3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -10)*((-30)\/14 + 2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1641516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*o - 23 = 0, -10*z - 461238 = 4*o - 461200 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + 3*r = 39*w + 6, 0 = -4*w + 5*r + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 - g**3\/6 - 151*g**2 + 3*g. Let h(t) = 9*t**2 + 10. Give h(d) + 6*j(d).\nAnswer: 3*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**3 - 3*z. Let j(w) = -6*w**3 - 2*w. Suppose 12 = -10*s - 8. What is s*o(b) + 3*j(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798836 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 238.107. Let j = 0.593 - o. Let s = -6 - -4. Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-5*(2 + 8). Let l be s\/(-2) + (1 - 2). Let n = l + 96. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1061 - -26?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (96\/(-10))\/((-3)\/10). Suppose -a*s + 30*s + 15600024 = 0. Suppose 0 = -2*i - 2*d - 7800008, -2*i - d - s = 2*d. Round i to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddmmdmddmdm. What is prob of sequence mddd?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n - 4. Let m = 6 - 2. Which is the second biggest value? (a) n (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13130201 (base 4) in base 6?\nAnswer: -353105","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13126*a + 196 = -13098*a. Let r(j) = j**3 - 8*j**2 + 5*j + 14. Give r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - q - 8 = 0, -2*j + 4*q + 28 = 8. Let o be (-8)\/(4\/6*-3). Calculate the greatest common factor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 255. Let a = -79 - v. Suppose -s - a = -4*d, -2*d - 97 = -7*d - 2*s. Calculate the remainder when 94 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 2*x**3 - x - 2*x**3 + 3*x**2 - 3*x**2 + (2*x + 2*x + x)*(0 + 0 + 2*x**2).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 331.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.136831465 rounded to 5 decimal places?\nAnswer: -0.13683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 2*w + 4. Let y be i(3). Suppose 0 = 2*p + 3 - y. Is 3\/5 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.006 + 19. Let x = 9.094 - q. Let w = -9 + x. Which is the closest to 0? (a) 0.3 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(2\/5)\/r)\/r)\/(r\/(r**(-1\/9)\/r)))**(7\/4))**(1\/19) assuming r is positive.\nAnswer: r**(-1169\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n + 24 = 82*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2657 - 1667. Is 66 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16776141*j**2*u + 34*j*u - 3*j + 86505*u + 3 wrt j?\nAnswer: 33552282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 293045 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -607, -2753, -6145, -10627, -16043, -22237?\n\"Answer: 26*l**3 - 779*l**2 + 9*l + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/94?\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*m + 45*m - 381*m in the form a + b*m and give b.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 2, r: 1, q: 1, d: 2, p: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5963, 10670, 15379, 20090, 24803, 29518?\n\"Answer: f**2 + 4704*f + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.68764 - 0.23536623.\nAnswer: 3.45227377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:12 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 + -641?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/40 (b) -5 (c) -155.21 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 9*i + 2. Let f be c(-8). Suppose 2*t - 24 - f = 0. Calculate the greatest common divisor of t and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/3)\/(3\/(-9)). Let c = h + 10. Is (c\/(-6))\/(4\/282) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-1 - 6 - -5) - -7) + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 4*i + i**4 + 0*i**3 + 0*i - 2*i**2 + 5*i**3 as b*i**4 + d + y*i**3 + l*i + z*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.03 + 0.03. Let v = 3.03 + b. Let m = v - 0.030001. What is m rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/8, 0.088, -1\/3, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10857379*c**4 + 11203974 wrt c?\nAnswer: 43429516*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 1, o: 2, z: 3}. What is prob of picking 2 z and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -51. Suppose w = l + 4. Calculate the remainder when 53 is divided by (l*14)\/(1 + 5)*6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -253155*f - 1772092. What is k(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-15)\/2. Let j be (-18)\/(-5)*h\/3. Suppose -3*a = 0, 2*q + 4*a = -q + j. Solve -q*k - 16 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n - n. Suppose 0 = -7*l + n*l + d + 150, 2*l - d - 100 = 0. What is the highest common factor of l and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 28 = -4*n. Suppose -5*d + n = 4*d. Suppose -3*w = -2*o - 4 - 15, -5*o = -d*w + 7. Calculate the greatest common divisor of w and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 1. Let x(d) = 23*d - 58. Let s(b) = 3*i(b) - x(b). List the prime factors of s(-11).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.07725 - 33.174. Let t = -4.1 - m. What is t rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(4752) - sqrt(33))\/(sqrt(363) + (sqrt(363)*1 - sqrt(363)) + sqrt(363) - sqrt(363)).\nAnswer: 50*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/303 and -89\/43710.\nAnswer: 4414710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 + 4. Let d be p(-4). Suppose -4*c = c - d. Suppose -4*z - 20 = c*g, -z = 2*z - 3*g - 9. Let m(r) = 2*r - 1. Give m(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o + 4*l + 20, -64 = -5*o + 2*l. Suppose 4*n - 5 = -2*w + 27, 0 = 4*w - 5*n - 38. What is the remainder when w is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) 2 (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/567920 and -103\/186?\nAnswer: 1703760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -21 - (5 - 0)) + (72 - 154)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**4 + 0*v + 0*v**4 + v wrt v.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(40)\/sqrt(36) + sqrt(40)*1)\/((sqrt(605)*-2 + sqrt(605) - sqrt(605))*6 - sqrt(605)).\nAnswer: -2 - 7*sqrt(2)\/429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-7 + 7))*10\/(-6). Suppose 0 = 2*y - 2 - 6, 1436 = o*b - y. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46217838 and 0.08368.\nAnswer: -46217837.91632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/14*-112*34\/36448?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 4*f, 0 = -f. Suppose 2*q - 6*q + 376000 = z. Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1626402946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.74886mg in micrograms?\nAnswer: 69748.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q + 30. Let t be n(-4). Let x be (-3 - t)*-2 - 3. Does x = -2\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 11*v**2 - 2*v + 24. Let l be (23\/3 - (-6)\/18) + 3. Let j be h(l). Let b(w) = -w**2 - w - 1. Let p(i) = -i**2 - i - 1. What is j*b(f) - 4*p(f)?\nAnswer: 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 4. Let a be v(-9). Solve -a*j - 12 = 2*f - 3*f, -15 = j + 4*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.89082 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 1035, 1553?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 37*k - 270 = 0 for k.\nAnswer: -27, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 6, e: 1, h: 7, w: 2}. Give prob of sequence ew.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 0*d**2 - 25*d + 5*d + 2*d - 3. Let k be r(-6). Suppose z - k = -5*o, 5*z - z - 55 = -3*o. Calculate the remainder when 36 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.21, -1\/5, 5\/2, -0.25, 1\/4, -0.3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247752 and 73059312.\nAnswer: 657533808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-7)*(-9)\/15)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:01 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyayyyyyyyy. What is prob of sequence yyy?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 5*t + 4. Let f be z(-5). Suppose 30 = -9*d + f*d. What is the units digit of ((-1)\/(-3))\/((-2)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*t + 31 = 0, -3*j = 4*t + 17 - 81. Let q = j + 54. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/34 + (-38)\/(-323). Suppose -5*t + 2*t + 1158 = s. Suppose 0 = 4*h - x - 752, 0*h - 2*x = 2*h - t. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434600 rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 1*sqrt(28)\/sqrt(16) + -4)*-4)**2.\nAnswer: -144*sqrt(7) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose w*x = -4*x + 156. Suppose 3*f = -2*r + 2*f + x, r - 4*f - 33 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151592220 divided by 78\nAnswer: 1943490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5618767*i**4 + 1168*i + 120.\nAnswer: 67425204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 3*u = 2, -3*h + 28 = -2*u. Suppose 3 = 5*j + h. Let p be 4 + (2 - (5 + j)). Solve -3*v = -p*v, 0 = 2*l - v - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/135 and (-8 - -18)\/5 - (-3 - (-10765)\/2160).\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18774 is divided by 481?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/72)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8328 - -8327.7. Which is the closest to -0.22? (a) 2\/23 (b) v (c) 5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**17\/p**(3\/2))**(-25) assuming p is positive.\nAnswer: p**(-775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + 11. Let x be d\/(-24) - 4*-1. Put x, -0.2, -2\/3 in descending order.\nAnswer: -0.2, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cef (base 16) to base 8\nAnswer: -6357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39\/7 + -358\/63. What is the third smallest value in -4\/5, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 192?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53270, -53269, -53268, -53267, -53266, -53265?\nAnswer: -53264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/29, 5, 4, 1, -12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:46 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1754)\/(-8) + (39\/12)\/(-13) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + o**2)*(2*o**2 + o**2 - o**2) - o**4 + 2*o**4 + 0*o**4 - 9*o**4 + 4*o**3 - 4*o**3.\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10 - 48\/(-90)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 201412*f + 1 + 3305*f.\nAnswer: 204717*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44, -6, -9, 3, -8, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15242, -125344, -424192, -1006160, -1965622, -3396952, -5394524?\n\"Answer: -15729*w**3 + w**2 - 2*w + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365 or -364?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 408*p. Let f(c) = 25*c. Give f(t(z)).\nAnswer: 10200*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 20*t + 20. Let x be v(-5). Let j be -1*(18\/(-15))\/((-24)\/x). Solve 0 = -2*r + j*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + 2*y**2 - 5*y**2 - 76*y**2 - 34*y**2 + 9*y**2 + (2 - 3*y - 2)*(0*y + y + 0*y).\nAnswer: -103*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 521451361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 times 0.2?\nAnswer: 326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*b + 884 = -468*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x + 25. Let t = 181\/118 + -2\/59. What is the second smallest value in 0.1, x, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwnmwt. What is prob of picking 1 n and 2 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 18 + 18)*(5 + 6*t - 6 + 2) in the form p*t**2 + r*t + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -996123, -996119, -996115, -996111?\nAnswer: -996107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -786 - 5*v**2 - 10 - 830*v - 29.\nAnswer: -5*(v + 1)*(v + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = -14*i + 12*i + 78780. Is 3939 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f*f**0))**(1\/34)*f\/(f\/(f\/(f*f**(13\/3))))*f*f**(-10) assuming f is positive.\nAnswer: f**(-1363\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 + f**5\/10 + 3*f**4\/8 - 3*f**3\/2 + 2*f**2. Let m be 204\/28 - (-2)\/(-7). Let k be t(m). Solve k*z = 6*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 4*k**2 + 57*k + 1259. Give c(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -16, -28, -40, -52, -64?\n\"Answer: -12*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 0.1 (c) 1 (d) 6\/5 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*(86614\/2170 + -40).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 + 106.99933. Round i to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -176*f + 172*f + 5*x, -2*f = -x. Let s(y) = -y + 19. What is s(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3866 + -0.381958. What is c rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201791 is divided by 201761?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.7 - -71.65. What is the third biggest value in 12, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -425, -380, -297, -164, 31, 300?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -60 + 59 + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 836376 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: Collect the terms in 0*w - 11 + 11 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 128*m**2 - 14*m - 25. What are the prime factors of f(-2)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-7\/3)*t)\/t)\/(t**3\/t))\/(t\/(t\/t**(1\/3)*t*t))**(4\/9)*(t*t**(2\/5)*t*t*t)**28\/(t**8*((t\/(t\/(t*t\/((t*t\/t**6)\/t))))\/t*t)\/t) assuming t is positive.\nAnswer: t**(14392\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322*l**2 + 342*l**2 - 3 - 705*l**2 to the form d*l**2 + h + s*l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 42*k**2 + 3*k + 1. Let c be i(42). Let n = 124 - c. Let j be 12\/10*(-20)\/(-18). Sort j, n, 3 in descending order.\nAnswer: 3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 + 21458*s\/3 + 230222882\/3.\nAnswer: (s + 21458)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 4394a9b0?\nAnswer: -4394a9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 8*b + 660 = 0. Suppose -236 = -2*i + b. What is the greatest common factor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 5*m + 0*m - 4*m + 3. Let x be q(5). What is the tens digit of (x + -1)\/((-6)\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50097 and 1636502.\nAnswer: 4909506","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - (-9606)\/105. Let n = 92 - f. Which is greater: n or 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1\/2*i**3 + 0*i + 305\/2*i**2 + 0 = 0.\nAnswer: -305, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 1. Let d(p) be the third derivative of -p**4\/24 + 2*p**2. Let z = 4832 + -4831. Let m(l) = z*s(l) - 3*d(l). What is m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10*((t**(-4\/5)\/t)\/t)\/t*t)**(-2\/51)\/(t\/(t\/(t\/t**(-2\/21)))*t**(-2)*t**(-7)*t**(1\/5)) assuming t is positive.\nAnswer: t**(13249\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:28 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000736156 to five decimal places.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 35 = -5*l, 5*s = 4*l - 31 + 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = 3*x - 7*x. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - (-4 + 78 + -16)) - -7.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*s + 126*s + 2284 = 0. Let y = -539 + s. Suppose 41 + 119 = 2*q. Calculate the highest common factor of q and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -176. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-21)\/9 + 1). Suppose b*w - 34 = 2*x + 72, -3*x + 138 = 5*w. Let g = w - 14. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730096619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 9. Let g be y(-6). Let o = -2 + 6. Let f = -0.01848 - 0.98152. What is the nearest to f in g, 0.11, o?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19185 - 19183.4111. Let y = 1.6 - b. What is y rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, 3, -2\/15, -8, 2430?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-2)\/72*3). Let q = x + -24. Solve q = -m - 5, c - m - 4 = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 10*a + 21. Let p be i(-9). Let b be 4\/(-26) + p\/195 + 3. Solve -5*r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (25 - 20 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/112 + (-62880)\/(-1680)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 1988 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 26565*w**2 - 106365*w + 132925 = 0. Calculate w.\nAnswer: -5, 1, 5317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10*1\/2. Let m = 5123\/14 + -15299\/42. Which is the closest to 3? (a) o (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 + 39*c**2\/2 - 78*c + 90.\nAnswer: -3*(c - 6)*(c - 5)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43020904\/5 + 8546495. Let m = -2270737\/40 - g. Let v = -921 + m. What is the common denominator of v and -21\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4224 or -53666?\nAnswer: -53666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 306993307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92652677 + 42?\nAnswer: -92652635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352344 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-108\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x. Let z(m) be the second derivative of m**5\/120 - 11*m**3\/6 - 10*m. Let o(d) be the second derivative of z(d). Determine o(n(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -25256*p**2. Let y(z) = -11*z. What is y(t(r))?\nAnswer: 277816*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256.06 + 256. What is the biggest value in -3\/2, -5, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5824580 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*v - 2*v + 7229 = 0, 0 = -3*z + 5*v + 5428. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -483, -103, 277?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129c (base 13) to base 2.\nAnswer: 101001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.6. Let p = m - 0.686. Round p to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**6\/21 - f**4\/7 + f**2\/7 - 449. Factor v(c).\nAnswer: 2*c*(c - 1)**2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111\/5 + -787\/35. What is the biggest value in j, 1\/3, -3\/22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21952 is divided by 3159?\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1270 + -469. List the prime factors of (64\/48)\/(3\/(a\/2)).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109\/4 - 28. Let f = -0.05 - 0.95. What is the nearest to 4\/7 in v, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 1.5, 16, 0.2, -0.3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 15 + 38)*(-4*c - 2*c + 3*c) to the form g*c + p and give g.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818319501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/53350 or -1?\nAnswer: -3\/53350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 - 218*j - 186. Give y(28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(4*h**3 + 5*h**3 - 5*h**3) + (-4 + 0 + 2)*(-2*h**3 + 2*h**3 + h**3) + (4*h**2 - 5*h**2 - h**2)*(-3*h + 4*h + h).\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2530 and 191751690?\nAnswer: 2109268590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -81*x. Let g(r) = 5*r**2. What is m(g(v))?\nAnswer: -405*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623*o**3 + 432670*o**2 + 28*o - 3443912?\nAnswer: -3738*o + 865340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-2)\/(-4)*-4))\/(12\/(-192))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 53366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 10. Let r(d) = 34*d**2 - 8*d + 15. What is the hundreds digit of r(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -57, -76, -91?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14023 (b) -33 (c) 0 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15236 divided by -4.\nAnswer: 3809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(304) + sqrt(304)) - (sqrt(304) + 1 + -3)**2.\nAnswer: -308 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1.7833789\nAnswer: 2.7833789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*x + 2*s + 33, 0 = 4*x + 3*s - 48. Suppose 29 = 3*u + 3*z + 5, 0 = -4*u - z + 29. Suppose x = t - u. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5090 + 5090 - 5*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -25. Solve -c*f - 7 = 4*b - 19, 0 = -f + b - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 + -228. Let g = h - -150. Is (1 - 0)\/1*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 126 = -27*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 652.4 + -105.4. Let k = v + -546. Which is the closest to -1? (a) -4 (b) k (c) -8.7 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l*l\/((l*l*l*(l**3*l)\/l*l*l)\/l))))*l*l\/l**(-1\/2)*l assuming l is positive.\nAnswer: l**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 484 + 176. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 2}. What is prob of sequence nqn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2 - 1. Let h(i) = i**2 - i - 1. Let m(u) = 38*u**2 - u - 1. Let x(l) = 3*h(l) - 3*m(l). What is r(x(t))?\nAnswer: -222*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddyd when four letters picked without replacement from ddyddddddddddddddydd.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -36. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-25 - -14) + 68 + -6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -72. Let l = i - -371. Round l to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 0.05. Let s = 440\/3 - 148. Which is the nearest to z? (a) 0 (b) s (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-4\/5)*c)**(-31)\/(c*c*c*c**(1\/3)*c)**12 assuming c is positive.\nAnswer: c**(-849\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from pegpmmemmp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -479, -376, -139, 256, 833?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7b57 (base 14) to base 7\nAnswer: -116340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 422, 762, 1082, 1376, 1638, 1862, 2042?\n\"Answer: -p**3 - 4*p**2 + 359*p + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**3 + 8*v**2 + 9*v + 10. Determine f(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104458*c**2 + 1285*c**3 - 104458*c**2)*(-5*c + 3*c - 2*c).\nAnswer: -5140*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -75*w**4 - 3310*w**3 + 13660*w**2 - 12520*w - 1920 = 0.\nAnswer: -48, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 4*c + 3678 = 0, 1827 = z - 5*c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (-27 - -24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -6408.\nAnswer: -640.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/7, 37, 3, -3?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98304.13 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p**2 - 3*p + 1. Let i be u(-3). Let d = -36 + i. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -422*c + 429*c + 11 - 3. Let t(y) = -8*y - 9. Determine 7*h(w) + 6*t(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = w - 97, 2*u + 2*u = -3*w + 291. Let j(r) = w*r**2 + 0*r - 186*r**2 + r + 93*r**2. Let a(t) = 5*t**2 + t. Calculate 5*a(l) - 6*j(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 1225566*c**2 + 1225564*c**2 + c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 28. Suppose 0 = 4*b + m - p, 0 = b - 2*m - 10. Suppose v + b*v = -27. Is -9 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16332?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47046847*r**3 - 66626929*r wrt r.\nAnswer: -282281082*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 2, o: 2, r: 1, z: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -89*r - 8. Let l(w) = 30*w + 3. Let d(f) = 8*l(f) + 3*u(f). Calculate the lowest common multiple of 18 and d(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 + 224. Suppose -871 = -g*z - 8131. Which is bigger: z or -329?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 31*q = -29*q + 2, -4*k - 2*q + 6 = 0. Suppose 0 = -4*w + k*v + 23 - 19, 0 = -4*w + 2*v + 12. What is the remainder when 15 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 193043486, 193043488, 193043492, 193043498, 193043506?\n\"Answer: i**2 - i + 193043486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 188011?\nAnswer: -188010.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 37 = v + 3*t, -4*v = -5*t - 216. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iidodobooibodbhbooh. What is prob of picking 1 o and 1 b?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-3\/2) assuming x is positive.\nAnswer: sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 27 = 5*t, -3*f + 153 = 2*t + 135 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -200*l - 15. Let m(i) = 54*i + 4. Let a(y) = 4*c(y) + 15*m(y). Suppose -5*t + 7 = -18. Let h(j) = -t*j - 1 + 1. Determine a(h(b)).\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*p = -9, 2*s + 0*s - 3*p + 6 = 0. Suppose s*i - 6 = 6. Suppose 411 = 4*m + 439, 0 = 2*v + 3*m + 11. Solve -i*z = -v*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*n + 7 = 23, 3*b - 12 = 3*n. Suppose b*h - 32 = 2*s, -4*h + 6*s = s - 44. Solve h = -v + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0.08, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = m - 3 - 8, 3*m = -4*i - 6. Suppose 4*k + m*k - 366 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 + -0.07. Let l = 20.3 - -103. Let f = 123 - l. Sort f, -2\/17, 1, j in descending order.\nAnswer: 1, j, -2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67358399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -4 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 105 + 38758*h**2 - 87 + 282 - 38743*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3796.3 - -3796.295453. What is h rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(275)*-6.\nAnswer: -30*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -3 - (-55 - -75)) + 724\/68.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 - 2*d**2 + d. Let l be p(1). Let o = l - -6. Solve 4*b + 0*b = -o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -12123 (c) 0.3 (d) -0.2 (e) 3\/5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**5\/5 + 6*o**4 - 166*o**3\/3 + 132*o**2 - 121*o - 47. Factor a(w).\nAnswer: -(w - 11)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (26 - 14)) + 4 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 564.1 - 568. Let a = -3.2 - b. Sort 0, a, 3\/5, 3 in descending order.\nAnswer: 3, a, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11750 * 435.\nAnswer: 5111250","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45.96708 hours?\nAnswer: 165481488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396165584?\nAnswer: 2, 24760349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 159203851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -415724801*m**3 + 176060021*m**2?\nAnswer: -2494348806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 18. Let t(s) = 1. Let j(n) = 72*t(n) + 4*z(n). Let y(h) be the second derivative of h**4\/3 + 8*h + 2. Give j(y(v)).\nAnswer: 128*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938 = -136*c + 18*c + 3*f, -2*c - 2*f - 7 - 13 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3565 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*f**2 - 133*f**2 - 2*f**3 + 76*f**2 + 37*f**2 + 208*f**2.\nAnswer: -2*f**3 + 284*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 850*z + 0*z**3 + 1711*z - 847*z + 2 to y + c*z**3 + r*z + l*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4276493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/6 - (-1 - -1). Suppose -j*c = 2*c + b + 15, -3*c - 2*b = 15. Let i be (c + 15\/9)\/6. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35245 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 - 4*z - 12. What is m(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2805*k + 22029 = 60170 + 68329 + 5730 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6736 + -3?\nAnswer: -6741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 141. Give r(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 12*c + 25. Let a = 0.6 - 1. What is the closest to -1 in c, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 26*j**2 + 27*j - 46. Let r = 630 + -605. Let m be v(r). Put -0.12, m, 8, -5 in decreasing order.\nAnswer: 8, m, -0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**4 - 14*t**4 + 0*t**4 + (3*t + t + 0*t)*(-2*t**3 - 4*t**3 + 2*t**3) - 3*t**4 + 0*t**4 + t**4.\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(-1) - 9\/27. Suppose 0 = -2*w - 2*t + 156, w - 88 = -j*t + t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*((-2*sqrt(891) - sqrt(891))*3*1 - ((-1 + sqrt(891))*4 + 2 + -2*sqrt(891))))**2.\nAnswer: -38016*sqrt(11) + 10350240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1264 and -3848839?\nAnswer: 3847575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000101001001 - 110010?\nAnswer: 110111000100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 194.96, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 52 = 5*y, 75 = 5*y + 2*n + 27. Suppose -5*z + z + 16 = 0, -4*z = -i + 43. Suppose 21 = 4*x - i. Calculate the highest common factor of x and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*w = 8, -3*x - 2*w + 3 - 5 = 0. Let t(i) = -8*i - 14. Let d be t(x). Solve s - 11 = -d*s - a, 5*s - a = 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/470 and 39\/10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -227247, -227255, -227265, -227277, -227291, -227307?\n\"Answer: -n**2 - 5*n - 227241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 306*j**2 - 1855*j + 522. Determine v(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008709250888 rounded to 5 dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, d: 1, w: 5, l: 1}. Give prob of picking 1 w and 1 a.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 5*i + 9. Let r be n(6). Suppose 0 = 3*g - 2*w - 35, r*g + 3*w = -0*g + 15. Solve -5*b + 31 = -2*l, -2*l - g = l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/350)\/((-2)\/(-28))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4) + (-963)\/(-6). Suppose 31 = -4*r + h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 12*r - 3*i, 3 = -2*r + i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810238471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11176\/1533 - 1\/219. Let r be (-1 + 2)*96\/(-14). Let o = w + r. Which is the third smallest value? (a) -5 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = c - 2, -2*h = -2*c + 8. Solve 4*k - 12 = 2*k + c*q, -3*k + 11 = q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -53.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)*v**(2\/37)*(v**(3\/14)\/v)\/(v*v*v*v\/(v\/v**(4\/7))) assuming v is positive.\nAnswer: v**(-5855\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -553.08 + -8.92. Let a = c - -564.728. Round a to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**7\/105 + b**6\/30 - 2*b**5\/5 + 7*b**4\/6 - 5*b**3\/3 + 7*b**2. Factor s(t).\nAnswer: 2*(t - 1)**3*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + t - 4*t)*(-2 + 4 + 0) + (4 - 1 + 11)*(2*t - 2*t + t) - 3*t + 2*t - 14*t as w*t + d and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*u - 7 = -u, -3*o - 4*u = -21. Let m = o + -6. List the prime factors of (m - -1)*(5 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*x = -3*c + 227710, 136614 = 3*c + 3*x. Let a = 70869 - c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 10051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 31561*v - 35190*v - 5 + 155630*v + 0. Let a(z) = 4*z + 33. Let o be a(-7). Let g be u(o). Round g to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 35. Let l(s) = -3*s + 38. Let o be l(y). What is the hundreds digit of (46 - 11)\/(o\/(-3)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404 = -56*j - 43*j + 576 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.062 times 9?\nAnswer: -63.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 300*m**2 - 8537*m - 8538. Determine r(-1).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121251 * -0.5.\nAnswer: -60625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 916 = 1100. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -6 + (4 - 18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-116))\/(1\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/993720 and -71\/3920.\nAnswer: 1987440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2\/(-12) - 301\/(-4902). Which is the fourth biggest value? (a) 1\/7 (b) n (c) -3\/55 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3477462 + 4?\nAnswer: 3477466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + 3*a + 3. Let u(b) = -3*b - 2. Let h be u(-2). Let l(s) = s - 7. Let n be l(h). Let x(y) = 9*y**3 + 7*y + 7. Give n*x(j) + 7*g(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-192)\/36*(2 + 357\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2004 and 1336.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 294.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwliw. Give prob of sequence wi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 961 divided by 150\nAnswer: 961\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14881*n**3 + 6*n**2*w + 818041*n*w + 2*w wrt n?\nAnswer: -89286*n + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 195 = 14*z. Let i = 7441\/1205 - -6\/241. Calculate the common denominator of i and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d58d1 (base 14) in base 12?\nAnswer: 2a5a6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 81*j**2 + j - 278. Give d(-81).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/sqrt(2))**2*-3 - (sqrt(17) + 2 + -5)) + (4*2*sqrt(153) - sqrt(153))\/(sqrt(9) - (sqrt(18)\/sqrt(2)*-2 + sqrt(9))).\nAnswer: -48 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1731 = -38*z + 397. Solve -32*l + 18*l = -z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.1 (c) 3 (d) -0.04 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*i + i. Suppose -4*u + 43 = -i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6, 1\/2, 46, 41.54, -5.\nAnswer: -5, 0.3, 1\/2, 6, 41.54, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -33005\/6 >= -5501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560\/105*((-108)\/(-8))\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1682?\nAnswer: 5\/1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6)*-2)\/((-21)\/(-21))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -2*s**3\/3 + 14. Let o(a) = -58*a**2. Calculate o(p(n)).\nAnswer: -232*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129\/904 - -2\/113. Let y = 0 + -0.2. Sort -1, c, y in descending order.\nAnswer: c, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488, -1981, -4592, -8417, -13552, -20093?\nAnswer: -28136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/(1\/(-2)). Suppose -6*l + l = t - 3, 3*l - 15 = -w*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105\/135*3*(8 + 31084\/(-3857))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.9 - -34.4. What is the nearest to 0.2 in 38, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 53?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**4*y**0*y**(2\/11)*y**(-5) assuming y is positive.\nAnswer: y**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -54, -13, 0, -33.\nAnswer: -54, -33, -13, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -0*h. Let p = 3 + h. Solve -p*b = -4*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 2382*r + 472827.\nAnswer: 3*(r - 397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -4, -3.16, -3, 0.3, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 41*l**3 + 11*l**2. Let s(g) = -3*g**3 + 200*g**2 + 16*g**3 + 7*g**3 - 195*g**2. Determine 9*s(m) - 4*x(m).\nAnswer: 16*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*c + 524*c = 18528. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270037602 is divided by 451?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 398 + -3?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -6*r - 9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from {c: 2, h: 7, i: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 8*g**2 - 21*g - 270. Let f be u(-9). Let p(m) = -m**3 + 4*m - 38. Determine p(f).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -59, -165, -365, -689, -1167, -1829, -2705?\n\"Answer: -5*l**3 - 2*l**2 - l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1008) + 1 + sqrt(1008) + sqrt(1008) + -5 + 5 + ((1 + sqrt(1008))*-1)**2 + 4).\nAnswer: -5070 - 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) -2\/29 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.42 - -1.41999516. What is r rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 5, x: 1, w: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -17*m + 4*i, i - 76 = m - 80 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*t + 77*t - 4 - 34 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 40509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 + -175. Suppose -k = 3*l - 10, -4*k - z = -l - 7*k. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*f - 1236, 0 = -k - 4*f + 2*f + 615. Suppose 6*c = k + 369. What are the prime factors of c?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/480 + 19*r**5\/240 - 2*r**4\/3 + 11*r**3\/6 + 9*r**2 + 49*r. Factor c(s).\nAnswer: (s - 2)*(s - 1)*(s + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(0 - 1) + 0. Suppose h = -3 + b. Find the third derivative of -z**2 + 0*z**4 + 2*z**h - 2*z**4 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrrrwrrr. What is prob of picking 2 r?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2243286 is divided by 46735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 36 = 6*b. Suppose 3*k - d = 63, b*k - 2*d + 54 = 9*k. Suppose -147*v + k = -143*v. Solve 5*f = 10 - v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3*t**2 + 2*t. Let y be h(2). Suppose y*r = -5*r + 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 28 = -5*a, 0 = 2*n - 3*a + 1 + 12. Let p = 4 - n. Solve -5*t - p = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -36*t - 3. Let v be j(-5). Suppose 0 = 6*q - 3*q - v. Let l = 20 + q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 1819, 4109, 7315, 11437, 16475, 22429?\nAnswer: 29299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**6\/90 + w**4\/36 - 3*w + 4. Factor n(p).\nAnswer: -p**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9079298?\nAnswer: 2, 4539649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -4 + 8 + -29 + 40?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 49991?\nAnswer: -1\/49991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 5*a**2 - 3*a - 24. Let h be 104\/18 - (-2)\/9. What is the units digit of j(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/9922, 2\/7, -1\/3, -1, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -162, -113, -76, -57?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukgwiswgk. Give prob of picking 2 g, 1 w, and 1 i.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 12)*(-21)\/(-112).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -1, -98, -3, 9 in increasing order.\nAnswer: -98, -6, -3, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3004*l**3 + 148772*l**2 - 10004209*l wrt l?\nAnswer: -18024*l + 297544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7828584 by -652382.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9911399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 287600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w - 30. Let b = -7 - w. Solve 4*x + b = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 5422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -12. Let f = n - 61.14. Let r = 1.14 + f. What is the fourth smallest value in -1, -1\/5, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcccbcbcbsccbbc. What is prob of picking 4 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.6 - -13. Let y = g - 0.5. Let r be 18\/(-10) + (1 - 0). What is the second biggest value in y, r, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 83949.22g?\nAnswer: 0.08394922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -301 - -304. Let o be 3 + -2 + -4 - -6. Suppose o*t - 19 + 7 = 0, t - 532 = -y*x. Is 44 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:53 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2015072.\nAnswer: 2, 62971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -94081802 divided by -1404206?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 301725 + 6?\nAnswer: 301733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 589 + 245 - 836 - 7343*o to t + d*o and give d.\nAnswer: -7343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/54 and -1\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2. Let m = 16818.3 + -16981.3. Is m equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -286. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -162\/353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 19*g - 2*k + 14 = 0, 2*k + 7 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(10 - (14 + -10)) + 16 + (-1)\/(-6)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 1 - 5, 1072733*j + 54 = 9*v + 1072736*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255517729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/4 - 8*k**3\/3 - 2*k**2 - 13*k + 1. What is the units digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 57*j**2 + 50*j + 457. Determine x(58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. What is the second derivative of -18*q**2 - 4*q**5 + 2*q + 18*q**f + 5*q**5 wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + 11*d**2 - 15*d + 19. Let m(l) = l**3 - 4*l**2 + 5*l - 6. Let p(t) = -2*c(t) - 7*m(t). Calculate p(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**3 - 10*q**3 + 17*q**3 + (-2*q - q + 2*q)*(2*q**2 + 2 - 2).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 65942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 106*h**2 - 853*h - 371. What is d(8)?\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 118\/3*b**3 + 26*b**4 + 0 - 16*b**2 + 0*b = 0.\nAnswer: -24\/13, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 176 = 3*w. Suppose -5*g + w = -76. What is the remainder when 46 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*59507\nAnswer: -1725703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 35*k**2 - 37*k + 96. Give n(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7775, 1\/18, -1\/3, -4 in decreasing order.\nAnswer: 7775, 1\/18, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*w**4 + 3775*w**3 - 12125*w**2 - 550*w + 680 = 0. What is w?\nAnswer: -1\/4, 2\/9, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 3*u - 2. Let r be z(-1). Suppose 327 = r*a + 19. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00091 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143072 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 6. Calculate x(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 3*v**2 + 3*v. Let a be (-65)\/(-25) + (-2)\/(-5). Let n(c) = c**3 - c**2 + c. Calculate a*n(i) - f(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364 smaller than 1068739\/452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43766943?\nAnswer: 3, 11, 1326271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**3\/6 + n. Let f(q) = q - 3. Let v(t) = -1. Let h(a) = 2*f(a) - 6*v(a). Calculate h(y(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -115, -257, -457?\n\"Answer: -29*d**2 + 3*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*z + 17, -x - z + 3 = -8. Suppose 0*d = -4*d - 140. Let w = 1 - d. What is the highest common divisor of x and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4250.3 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b**3 - 6505*b**2 + 44855*b + 11620.\nAnswer: -5*(b - 7)*(b + 332)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 31. Let q be -40*4\/6*42\/(-28). Let g be 4\/10 - (-1)\/(q\/224). Is v(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -r - 10*q + 4*q - 4, 5*r = q - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/3)\/(460\/690)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/5))*k*k**(5\/3)\/k)**(-3\/2)*k**(-3\/7)*k**(-7)*(k**(-6\/5)*k)\/((k**(7\/2)\/k)\/k*k*k*k) assuming k is positive.\nAnswer: k**(-1003\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(192) + sqrt(65)\/sqrt(5)*-4)*-4*-6)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {x: 7, z: 2, d: 4, g: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -26, -54, -94, -146, -210, -286?\n\"Answer: -6*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**3 + 254*g**2 + 47*g + 73. What is c(51)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213 and 2577158?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.71 and -0.26?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 98. What is the highest common factor of p and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose c + 95 - 63 - 84 = 0. Calculate the highest common divisor of c and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/2055 and 14\/75069.\nAnswer: 51422265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362\/151 + 3349\/1208. Factor t*p**2 - 9\/4*p + 27\/8.\nAnswer: 3*(p - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2380\/(-8075) + (-2)\/19.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1436.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, v: 1, r: 3, l: 6}. What is prob of sequence vl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82\/123*-2*(-3)\/1. Suppose -3*r + 16 = -2*r. Let l be 3\/(-2)*r\/(-6). Solve 12 = n - l*n + 3*y, -n = -c*y + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 + 4*j - 2. Let x = -4 - -2. Let h(k) = -k - 2*k**2 - 2 + k**2 + k**3 + 3. Let i(w) = x*h(w) - l(w). Give i(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4904195474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*c**2 + 51 - 42*c**2 + 198*c**2 wrt c.\nAnswer: 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.992426 rounded to 3 decimal places?\nAnswer: -2.992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 160, -16, -4, 3, -49 in ascending order.\nAnswer: -49, -16, -4, 3, 8, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20811 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1249, 2122, 3577, 5614, 8233?\n\"Answer: 291*c**2 + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/55, 0.2, 1, -27218?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 83 = -5*p. Let c(s) = -8*s - 32. Calculate the remainder when c(-13) is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + (sqrt(144) - (sqrt(144) - (sqrt(144) - (sqrt(144) + sqrt(144)*3)))))*-6)\/(1*sqrt(14)\/sqrt(252)).\nAnswer: 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 163 - 165 - (-23 - -1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5e4?\nAnswer: -5df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (13 + -4)) + (-1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4117 + 4098. Which is the closest to -11? (a) -4 (b) f (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -4*j, 5*m + 5*j - 865 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-2 + -1 + (sqrt(10)\/sqrt(5)*-2 - sqrt(2)) - 5*((sqrt(200) - (sqrt(200)*-1)**2) + -1).\nAnswer: -55*sqrt(2) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t. Let h(n) = n - n - n + t. Let c(f) = -f - 1. Let a(d) = -7*d - 6. Let i(u) = a(u) - 6*c(u). Give h(i(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*n**2 + 367*n**2 - 1478 - 741*n**2 + 744 + 734.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257000, 257572, 258144, 258716, 259288?\nAnswer: 259860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 4*o**2 - 42*o - 25. Let p be h(9). Let a = 10 - 4. Find the second derivative of -a*f - 12*f**2 - f**p - 2*f**2 - 22*f wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(136\/95940) + (-9 - (-155)\/17). Calculate the greatest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 19*o**4 + 59)*(-20*o - 18*o + 36*o).\nAnswer: 38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**5\/4 - 35*p**4\/24 + 5*p**3\/3 + 37*p**2. Factor j(q).\nAnswer: 5*(q - 2)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-22.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5896 and 9416?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/46*(-4)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1611833431 to the nearest 100000.\nAnswer: -1611800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8153520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/527 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20072?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4437 and -21473.2?\nAnswer: 21472.7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477738 (base 9) in base 7?\nAnswer: 14323634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -43. What is the third smallest value in 5, o, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - ((sqrt(180) - (sqrt(180) - sqrt(180)*2))*-1 + sqrt(180)))\/sqrt(3))\/((6*(sqrt(108) + sqrt(108)*2))\/sqrt(9)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 590\/3 + -3904\/15. Let a = 63 + c. What is the nearest to 2\/3 in -0.03, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0*t - 5*t + 10 + 4. Suppose 0 = 5*g + 1 - 21. Let y(l) = 0*l - g - 3*l - 1 + 5*l. Calculate 3*u(c) + 8*y(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 581.99402 + -582. What is d rounded to four dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -2.58. Let n = g + -1.52. Sort 0, n, -2\/5, -1\/7 in descending order.\nAnswer: 0, -1\/7, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c - 2. Calculate p(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5999107 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -8. Let t = -41.86 + p. Let k = 0.04 - t. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9038 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -35\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (894693\/45016)\/((30\/(-16))\/5)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 51.5206 hours?\nAnswer: 185474160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (304\/1140)\/(((-18)\/10)\/(7\/14))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 10094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 7. Let o be d(-5). Suppose b - 4*i + 10 = -0*b, 0 = 3*b - 5*i + o. What is the greatest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, z: 1, g: 9, k: 5}. What is prob of picking 2 o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 1 + 5 = 4*w, d + 10 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 0.204 in increasing order.\nAnswer: 0.204, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000170555159 to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039 = 6*t - 5581. Suppose -3*a - m + 994 = 0, -81 + t = 2*a + 4*m. What is the highest common divisor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3022567.8 to the nearest one thousand.\nAnswer: 3023000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, n: 5, r: 2, p: 4, b: 7}. What is prob of sequence nr?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 307213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 128692 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6766 and 4?\nAnswer: 13532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -622496?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2 - 55*v - 130 = 0. Calculate v.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 - 4*t - 1. Let x be c(-3). Let i = x + 11. Suppose 0 = -3*k + 2*k - i. Let r(d) = 2*d**2 + 6*d. Calculate r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427608992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8449*o**5 - 652*o**3 - 7264345*o?\nAnswer: -168980*o**3 - 3912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + -1. Let z = 10.4 + f. Let b = 2.96 - -0.04. What is the third biggest value in z, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 12 + 8. Suppose 4*d + 0*y + q*y - 2042 = 0, 5*d + y - 2551 = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a1325a + -31?\nAnswer: -1a13290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/66*((-66)\/(-4))\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 - 5*f. Suppose 5*r - 28 = 2. Let a be r\/2 + (-72)\/9. Let x be t(a). Solve -3 + x = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 880.33 + -881. What is the biggest value in n, 6, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiaaauiciua. What is prob of sequence ui?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -850 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*v = 217*v + 17. Solve -w - 4*c = 1, 5*c + v = w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 702 + -527. What is the smallest common multiple of 20 and v?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, t: 1}. Give prob of sequence ata.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2839*u = -2931*u - 828 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, -1, -12, -1\/2, 71, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgyg when four letters picked without replacement from {g: 3, y: 1, v: 3, l: 1, q: 2, r: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -0.04. Let z = -3.01 + p. Let k = -10.5 - z. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 at least -243497\/1297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 12*x**2 - 17*x + 10. Determine d(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 2*r - 1. Let t be x(-1). Differentiate -41 + 72 - 140*k**t + 268*k**2 + 192*k**2 with respect to k.\nAnswer: 640*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -100102201020211?\nAnswer: -100102201021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -147627 (base 9) to base 13\nAnswer: -324bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 12862 + 45703 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 19*u - 1659 = 0. Let b = 244 - u. Solve b = 3*o + 4*w + 27, w = 3*o - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 40*z**3 + 11*z**3 - 31*z**3 - 29*z**3 - 9*z**2 + 49*z**2 to the form m*z**2 + t*z**3 + p*z + v and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 17*h - 9*h + 41 - 11*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -81.162295 - 4945\nAnswer: -5026.162295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 190371 divided by -267\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 265367a (base 13) in base 14?\nAnswer: 1852b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 53*m**3 - m**2 + 9*m - 20. What is t(2)?\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b - 4a3a?\nAnswer: -4ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 82 = -28. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*t - 0*x + 21, t - 17 = -4*x. Suppose -3*m - 2*m + 2*c = -43, c = t*m - 39. Suppose -4*y = 16, -m*q + 5*q = y. Solve -s - q*s = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 18, 5 in descending order.\nAnswer: 18, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 1. Let g be m(-1). Suppose a + k - 4*k = -1, g = 3*k - 3. Suppose -a = -4*n + 2. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*p**4 + 22*p**4 - 41*p**4 + (0*p**2 - 2*p**2 + p**2)*(4*p**2 - 2*p**2 + 0*p**2).\nAnswer: -52*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*x + 5*b, -5*x - 2*b + 15 = -5. Suppose n = 1, h + x*n - 9 = 3*n. Solve 2*s + h = m - 0, 5*m - 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/((-3060)\/320) - -29?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22356\/18630*(-10)\/32.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Suppose -w + 3*k = 22, -w + c*k + 3*k = 26. Let y = 26 + w. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74023.\nAnswer: 79, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*d = -100*d + 135. Solve 0 = -4*o + 2*p - 33 + 9, 5*o - p + d = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:16 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8734110*m - 12537. Let q(t) = -4181*t + 6. Determine 2*g(v) + 4179*q(v).\nAnswer: -4179*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2754\/13 in -3, 2\/3, 2\/28587?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = -3*r, -14*f + 12*f = -2*r + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/((1230\/(-207))\/2 - -3). Let a = g + 505. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j - 173*j**2 - 827*j**2 - 116*j**2 - 23*j + 23*j.\nAnswer: -1116*j**2 + 45*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16673771 to the power of 1\/2, to the nearest integer?\nAnswer: 4083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*(-52)\/117)\/(6\/(-9)))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -38*t + 0 + 19*t + 22*t + 1. Calculate the remainder when 38 is divided by p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f**2 - 25*f**2 - 16*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2095*q**2. Let d(n) = 127*n**2. Give u(d(y)).\nAnswer: -33790255*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 - -25.31. Let h = -24 + c. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnddddnnnndnndndndd. What is prob of picking 3 d and 1 n?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-5\/16)*h*h))\/(h\/h**(-13\/2)*h*h) assuming h is positive.\nAnswer: h**(-163\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 825647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 24*c**2 + 26*c + 47. Let f be t(-25). Let m be 84\/f - 18\/(-99). Solve -s = -0*s + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-6 + sqrt(360)\/sqrt(2).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60299 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -26. Let z be (-5 - (-5)\/1)\/(-3). Solve 4*s + 15 + w = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 28 + 27. Let j be (p\/(-33))\/(1\/3). Let o(h) = -h - 1. Determine o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -1, -162.6, 0.3 in decreasing order.\nAnswer: 58, 0.3, -1, -162.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -84, -90, -98, -108, -120?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 12077*z + 96878. What is f(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, 14, 31, 44, 47, 34, -1, -64?\n\"Answer: -r**3 + 7*r**2 + r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 92 - 29. Suppose 0 = 3*l + 5*u - 60, l + 2*u - 34 = 5*u. What is the remainder when l is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5253676, -5253677, -5253678?\nAnswer: -5253679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3182 - -20.\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4716 and 18907.\nAnswer: 18907.4716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (18\/3 - 2). Suppose 0 = 4*t - 5*j + 9, v*t = -2*j + 23 + 3. What is the third biggest value in -8, -5, t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from nhhhhhhhhhhhhhhhhnhh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 10969912 - 25530088. Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 3, 0 = s - l - 17. Let g = 74 - s. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*3)\/((-51)\/(-1547)*13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5201921*q**4 - 26*q - 1141 wrt q.\nAnswer: 62423052*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6 and -89\/1760712.\nAnswer: 1760712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*w = 28, -5*k + w = -4*w - 40. Suppose 3*b - 4*y - 9 + k = 0, 0 = -2*y + 2. Solve 0 = -b*u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + 1 - (732 + -713).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 + -3.3. Which is the second biggest value? (a) y (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*x - 1801 + 371, -4*a = -16. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/13 - 1966*m**2\/13 - 3940*m\/13.\nAnswer: 2*m*(m - 985)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 263118179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*s**2 - 190*s**2 + 3*s**5 + 3*s**5 wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170127*b**2 - 569436*b wrt b?\nAnswer: -340254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3023*j**5 - 113*j**4 - 29267*j + 29.\nAnswer: -60460*j**3 - 1356*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 436619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1556019886 to the nearest integer?\nAnswer: 39446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a + 40*a - 3*h - 11 = 0, 0 = 2*a - 4*h - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*k + 13, -5*i - k = -5 - 6. Suppose -3*w + 300 = i*g - 2*w, -g + 116 = -5*w. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227.2 - 177. What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07230960749 to 4 dps.\nAnswer: -0.0723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 55, -3\/4, -11578\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-14)\/(-196)*0. Suppose s*a + 0 - 2\/3*a**3 + 1\/3*a**5 + 0*a**2 - 1\/3*a**4 = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3009032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ettoxtlteotkeex?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 3*h. Let c(y) = -5*y**2 + 4*y + 1. Let v(j) = 3*c(j) + 4*f(j). Calculate v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -8, 14, -2\/17, 10, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.5321 decades in years?\nAnswer: 7745.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330553*z + 175722*z + 177795*z + z + z - 3*z + (1 + 2 - 1)*(0*z + 0*z + 2*z) to the form i*z + x and give i.\nAnswer: 22967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9669749.1503 from 0.4.\nAnswer: -9669748.7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r + 6. Suppose 45 = 5*d - 4*m, -4 - 6 = r*m. Suppose 5*f - 270 = -5*g, -g - d*f = -6*g + 240. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 47\/(-30) + (-2)\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) -0.3 (b) 49 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 1 - 246. What is the remainder when y is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 - (-4 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/36 bigger than -32\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(7623)*3)\/((sqrt(441) + (sqrt(441)*2 + sqrt(441))*2)*5).\nAnswer: 132*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-13)\/(-2) + (-2781)\/(-618). Sort g, 0.5, 2\/5, -0.1, 1.\nAnswer: g, -0.1, 2\/5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.1, 0.5, -5554, -0.4 in ascending order.\nAnswer: -5554, -0.4, -0.1, 2\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*m - 2634 + 7658 = -1047*m - 7106 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:25 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2193*v**2 - 4533*v.\nAnswer: -4386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*y - 125 = -0*y, -4*a - 456 = 3*y. Let o = -56 - a. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkkbgkkgkkgkggbkkb. Give prob of picking 1 k and 2 g.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 342, 790, 1428, 2262, 3298?\nAnswer: 4542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34535 (base 11) to base 15\nAnswer: -ebb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(300) + sqrt(300)*-2)*-4 - (0 + sqrt(300) + 0 + -1))*1)**2.\nAnswer: 60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484620 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 6*x - 7. Let f be h(-7). Suppose f = b - 6 + 1. Solve 5*y + 22 = -3*z, -4*z - 1 = -b*y + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m. Let f(v) be the second derivative of -5*v**4\/6 + 54*v. What is f(w(x))?\nAnswer: -90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 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: Suppose 4*x = 5*q + 164, -4*x - q = -0*x - 140. Let d = x + -12. What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 3 (c) -11 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.1594 millennia to months.\nAnswer: 1573912.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/14 and -79\/1806254.\nAnswer: 12643778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 689394997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1360\/(-544))\/(5\/(-6)). Solve -5*g = 4*t + 29, -5*t + q*g = -4*t - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -30*b + 108. Give o(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92713 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2737*v - r + 2 = 2740*v, 50 = 5*v - 3*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6)*(-52)\/(-702)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -52*m - 2. Let p(g) = 13*g. Let q(a) = -60*a. Let n(j) = 4*p(j) + q(j). Determine k(n(u)).\nAnswer: 416*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13*g**2 - 590*g + 185. Calculate s(-45).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3142*p - 30486. What is z(-10)?\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11705 - 48795. Let j be z\/(1 - (-33)\/(-30)). Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -36. Suppose 3*k = v*k - 8. Let h = 31 + k. What is the remainder when 88 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1203)\/802)\/(2*(-6)\/112)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(324))\/sqrt(3) - (-1*sqrt(3) + -1)*2) + 2.\nAnswer: 4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*n + 19, -2*p = -n - n - 4. Solve -4*f + 7 = -p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291031?\nAnswer: 7, 17, 19, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 2*f - 215. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 8, -2 in increasing order.\nAnswer: -24, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 = -g. Is (1\/(-1))\/(g\/(-172)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/20 + o**4\/6 + o**3\/6 - 3*o. Factor i(c).\nAnswer: c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8151 by 4.\nAnswer: 8151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, -37316, -33?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 4*k**4 + 2*k**4)*((5 - 3 - 1)*(-2 + 4 - 1) - 2 - 1 + 5 + 5 - 5 - 9 + 6 - 3 - 2).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-195 + -3)*(6 - 2)\/(-4) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = d - 5*l, 3*l + l = -5*d + 45. Suppose -3*j - n = 2*j + 8, 3*j + 4*n = 2. Let f be (-6)\/(-3) - 6\/j. Solve -d = 2*y - s, -f*s + 3*s = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2379083547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2.55 (c) 1\/2 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a - 151. Suppose -222 + 46 = 14*z - 3*z. Calculate y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(7\/6))*k)\/k**(2\/9))\/(k**(-4\/5)*k**2) assuming k is positive.\nAnswer: k**(67\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 8:01 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:53 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*g + 9592*g**3 - 111 + 91 - 40*g + 109*g + 169*g**3 wrt g?\nAnswer: 58566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 4*d - 2*d)*(2 - 1 - 5) + (38 - 3 - 18)*(7*d - d - 4*d) + (-3 + 4 - 2)*(-3*d + d + 0*d) in the form q + v*d and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:18 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*j - 146 + 46, -3*j = -3*p - 75. Suppose 0*i - 4*i - 5*g + 13 = 0, -j = 5*i - 2*g. Let r(c) = -33 - 23 - c + 100 - 26 - 24. What is r(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 52.00065. What is n rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*q**2 + 558*q + 1233 wrt q?\nAnswer: -14*q + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkfkkhhfshpfphphhhhh. What is prob of picking 2 h?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -146293, -285792, -425291, -564790, -704289, -843788?\n\"Answer: -139499*k - 6794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -150. What is the third derivative of l - 3*l - 834*l**4 + 427*l**4 + 4*l**2 + 424*l**h wrt l?\nAnswer: 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -359 - -196. Let t = 43 + q. Let z be t\/(-32)*4\/(-10). Which is the nearest to 0? (a) -2\/5 (b) 2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1288, 1335, 1384, 1435, 1488?\n\"Answer: j**2 + 44*j + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -543?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19729*x**5 + 23*x**3 + 5*x - 83638 wrt x?\nAnswer: 394580*x**3 + 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 7*s + 1 - s**4 - 6*s as o + y*s**3 + d*s**2 + v*s + a*s**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 0.9. Let c be (30\/20)\/((-9)\/8). Let d = 297\/4 + -75. Sort d, c, b in decreasing order.\nAnswer: b, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -1050 (b) -68 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from shzazzzfzszzfyfz?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(18\/(-10))*3. Suppose 2*z - r - 47 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -18*k - 0*k. Sort -2, k, 1, -12.\nAnswer: -12, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**8)\/((f*f\/(f\/(f*((f\/(f**(3\/4)\/f))\/f)\/f*f)))\/f)*(f**(-1\/4)\/f)**(-7\/4))\/((f**(2\/7)*f)**(-21)\/(f**(-7)\/f*f*f**(-3\/5))) assuming f is positive.\nAnswer: f**(2347\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 704 = 6*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215992281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70803 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-12 - (20 + -34) - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.53, 2, -1\/33, -5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707649?\nAnswer: 3, 139, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-33)\/a)\/a)\/a**(-30)*(((a*((a**(1\/15)\/a)\/a)\/a)\/a*a)\/a)**12 assuming a is positive.\nAnswer: a**(-201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -372 - -376. Suppose -3*v - 9 = -3*h, -6*h = -u*v - 10*h - 36. Let g be (12\/(-35))\/(2\/42). Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + 10*t - 10*t)*(-4*t**2 - 9 + 9 + (-t - 2*t + t)*(-2*t - 2*t + 3*t) + 0*t**2 + 2*t**2 - t**2).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-50)\/(-10))*50\/(-1). Sort 5, b, -4 in ascending order.\nAnswer: b, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 14*f - 48 = 0. Which is smaller: -50\/19 or f?\nAnswer: -50\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s - 6. Let i(g) = g - 5 - 12 + 16. Let m(r) = -r**3 - 7*r**2 - 7*r - 2. Let d be m(-6). Calculate d*i(t) - w(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p + 1. Let l(o) = -4*o - 1. Let d(n) = -11*l(n) - 6*s(n). Suppose 0 = 4*q - 5*k - 156, -2*q = -4*k - 61 - 17. Let y = 34 - q. Calculate d(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b - 6*b)*(1 - 4 + 4)*(57 + 11 - 3 - 7).\nAnswer: -580*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 57385263*w - 28692634*w + 2 - 28692637*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 12*i - 1. Let n be r(-6). Let k = n + -25. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1033 + -3 + -17). Is 1013 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from sssesdadeedsndsqaqd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.85796 millimeters in kilometers?\nAnswer: 0.00003685796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.15 + -0.15. Let k = 14 - d. Let q = 12 - k. Which is the second biggest value? (a) -0.5 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -29*a**4 + 17*a**2 + 17*a + 6. Let s(b) = 10*b**4 - 6*b**2 - 6*b - 2. Let q(o) = 17*s(o) + 6*w(o). Differentiate q(n) with respect to n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.1, -3, -0.073, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 - 141?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9205219 is divided by 20098.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 10. Let u = 51 - a. Solve x + u*x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 13*u**3 - 2*u**2 + u + 1. Determine m(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Suppose -2 = -0*k - 2*k. Let m = i - k. Calculate the highest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, 12, -4, -551, 2 in decreasing order.\nAnswer: 12, 2, -4, -292, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -630*g + 660*g + 6 + 1 in the form n*g + d and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346988176?\nAnswer: 2, 67, 173, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**3 - 30*r**2 + 51*r - 29. What is s(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -12*g + 30. What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9*r + 629072244 = 0. Let m = r + 145315698709\/1386. Let h = 7\/198 - m. What is the common denominator of h and -49\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*f**3*o**2 - 2*f**3*o*v + 47*f**3*v - 65*f*o**2*v + 2*f*v - o*v - 2*o wrt o?\nAnswer: 54*f**3 - 130*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1981b (base 14) to base 11\nAnswer: -44683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 + (3 + 0 + (-5 - -24) - 0).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -1.1. Let v = -48 - -41. Let p = -7 - v. Which is the nearest to -1? (a) t (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -353\/4. Calculate the common denominator of o and -109\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, 594 in increasing order.\nAnswer: -4, -3, 0, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 3*q. Let o be v(-1). Is (2 + o)\/(-2)*-1678 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12096 and 5922?\nAnswer: 568512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 + -227 + 99 + -51 + -1 + -2.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123 - (82 + -80)) + -65?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450623 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 780096829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7512141 rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -48. Let y = -12 - q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*a - 5166 = 123*a + 230*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321440 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 190.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304990 divided by 6.\nAnswer: -152495\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1650 and 120860?\nAnswer: 19941900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3 + 1 - 1 + 2 + 2 + 0 + 4 + (0 - 2 + 4)*(1 - 2 + 2))*(113 - 85 + 99 + 126)*(-4*t**3 + 3*t**3 + 3*t**3).\nAnswer: 4048*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126.32 - 400555.\nAnswer: -400428.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 2:03 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292373.\nAnswer: 43, 89, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 97*r - 818. Let z be t(-56). Let f(g) be the third derivative of -6\/5*g**3 - 1\/300*g**5 - z*g**2 + 0*g + 0 - 1\/10*g**4. Factor f(k).\nAnswer: -(k + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*y + 19 = 6, 21 = 3*l + 5*y. Suppose 4*h - 3 = 13. Suppose 5 = d - 4*k + k, h*k = 0. Solve -d*a + l = 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35431.0784 - 35510. Let u = s - -79. Let g = -0.087 + u. What is g rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*m + 964 + 581 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -3*c, c = 5*c - 12. Suppose -5*u - 5 = -r*u. Solve 5*m + t + 10 = 3*t, 4*t - 10 = u*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 2\/7, 47, -0.039, 3\/7, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1751, -7031, -15825, -28127, -43931, -63231, -86021, -112295?\n\"Answer: l**3 - 1763*l**2 + 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17730)\/(-15957))\/(10\/(-378))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 38 + 206. Let z = -68 + h. Calculate the highest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18239303, -18239357, -18239411, -18239465, -18239519?\nAnswer: -18239573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoi when three letters picked without replacement from {o: 3, i: 12, a: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 w when four letters picked without replacement from {w: 6, h: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4144304 - 42010?\nAnswer: -4241314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 192*t**2. Let m(j) = -4*j. Determine m(h(f)).\nAnswer: -768*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 31 = 6*l. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w. Let g(y) = 5*y - 35. Let u(a) = 4*a - 38. Let c(j) = 3*g(j) - 4*u(j). What is c(v(i))?\nAnswer: -6*i + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 4*u + 11. Suppose 0 = 6*s - s - 4*w - 27, -3 = s + 2*w. Let l be p(s). Let o be (2 - 3)*4\/l. Which is smaller: -1\/35 or o?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*y - 1093*y = -2*d + 263, 0 = 2*y - 4*d + 186 for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965*q = -472*q - 21692 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, -1, 4 in ascending order.\nAnswer: -7, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {m: 4, o: 1, n: 3, k: 2, b: 1, q: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -90. Let w = 1 + 9. Let z = -5 + w. Which is the nearest to -0.1? (a) l (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3\/4 - 45*b**2\/2 - 657*b\/4 - 285\/2 = 0.\nAnswer: -19, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -35*v**6 - 920*v**3\/3 + v**2 - 1483. What is the third derivative of y(x) wrt x?\nAnswer: -12600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:17 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -858\/43, -3 in ascending order.\nAnswer: -858\/43, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y + 2\/3*y**2 - 10 - 2\/9*y**3. Factor a(w).\nAnswer: -2*(w - 3)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 66*b - 61*b - 43200025, 72000015 = 5*z + 3*b. Round z to the nearest 100000.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 387547.3 and 7920?\nAnswer: 379627.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/4 - 3\/(528\/1048) and 33\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4\/5 - 395358*r**3\/5 - 790707*r**2\/5 - 395352*r\/5 = 0. Calculate r.\nAnswer: -131784, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l + 23*l + 99*l)*(3*l**4 + 0*l**4 + 0*l**4).\nAnswer: 318*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412106, -412107, -412108, -412109, -412110, -412111?\nAnswer: -412112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*m - 30988 = -99*m. Solve 57*r - 517 = -m for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -87, 1.3, -76?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4268398+30\nAnswer: -4268368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8583 - -1.2375.\nAnswer: -0.6208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsns when four letters picked without replacement from {s: 2, r: 3, n: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 27009*h**3 + 2179920*h**2.\nAnswer: -3*h**2*(h - 9083)*(h + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3235*4\nAnswer: 12940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -33.68\nAnswer: -33.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -26*z**2 - 4*z + 7. Let u be k(-5). Let s = u - -1283. Suppose s = -0*b + 5*b. Calculate the highest common factor of 88 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 4*h**4 - 3*h**4 + 12*h - 10*h - 6*h**2 in the form l*h**2 + u*h + n*h**3 + q + b*h**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-1 + (-111)\/3). Let b = -94 + x. Let g = b + 72. What is the highest common factor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/(-20) - 10\/(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 478. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = z - 3*z. What is the greatest common divisor of z and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10. Suppose -u*g = -g. Solve -b - 2*b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-9))\/((-9)\/(378\/(-56))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4573 + -130?\nAnswer: -4723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41, 51, 81, 143, 249?\n\"Answer: 2*h**3 - 2*h**2 + 2*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 419, 434, 455?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6213 * -32\nAnswer: 198816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 - 63 = 2*s. Round s to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(40)\/(sqrt(560)\/sqrt(7)))\/(-3*sqrt(100)*2 - sqrt(100)).\nAnswer: 3*sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 14. Suppose -4*r + 82 = s - 3*r, -216 = -t*s + 3*r. Suppose 1 = h, -2*x - 5*h + 13 = -6. What is the greatest common divisor of s and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-12 - -17) + 3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166044 is divided by 16604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 bigger than 58\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -730 (b) -5 (c) 7\/5 (d) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2615 + 2605 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -747*c - 2897. What is the least common multiple of 2795 and y(-4)?\nAnswer: 19565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/16893 and 40\/97065301.\nAnswer: 873587709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 3*r**4 - 6*r**4)*(18 + 6 - 2) + (-r**2 - 2*r**2 - 2*r**2)*(-3*r**2 + 4*r**2 + r**2) + 2*r**2 - 2*r**2 + 2*r**4.\nAnswer: -96*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91823659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.2, 4, -11 in descending order.\nAnswer: 6.2, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1508, -3025, -4550, -6083, -7624, -9173, -10730?\nAnswer: -12295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/59?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4518*a + 248482. Give b(-55).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 - 341. Let b be (-21)\/7 + 238010 + p. Round b to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313333*m - 73804*m + 4 - 4.\nAnswer: 239529*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 172*j**3 + 8*j**2 - 4*j - 123. Is w(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 + 7 + (25 - -5). Suppose 0 = -4*b - 4, 0 = -3*m - 0*m + b + 22. Solve -m*h + h + l = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 + 209. Which is the closest to q? (a) -0.2 (b) -2\/3 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/(-180)*((-1406)\/8 - -2) and (-284)\/6*(1 + (-39)\/42).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*w**2 + 10*w**2 + 10*w**2 + (-5*w**2 + 6*w**2 + w**2)*(-1 + 2 - 2).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -17*h**6\/60 + 31*h**4\/24 + 2*h**2. Find the second derivative of q(b) wrt b.\nAnswer: -204*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 4, -20, -3\/4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -9, 7*h = 2*h + 4*z - 858. Let x = 216 + h. Calculate the highest common factor of 24 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1945 - 1876. Does -1\/4 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 182*l**2 - 10*l + 10. Let m(t) = -91*t**2 + 4*t - 4. Calculate 6*b(c) + 15*m(c).\nAnswer: -273*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 6*t - 3. Let q be l(-7). Suppose 0 = -r - q*r. Let p(s) = 23 + r*s**2 - 6*s - 17 + s**2. Give p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4377 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118\/(-4)*(-8 - -4).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8343288320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 311. Calculate the remainder when i is divided by -91*17\/((-119)\/3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = 15. Suppose -5*n + w = -0. Suppose 5*a = -s + n + 2, 5*a = 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: Is 9 a factor of 11106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3725 or 0?\nAnswer: -3\/3725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4176 greater than -4167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -6809 and -6746 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 509233 and 4097.\nAnswer: 8656961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17955012 is divided by 1381152?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41239 is divided by 670?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*3*(-1)\/(-2)*(-68)\/102?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 4*i**2 - 3*i**2 - 3*i + 26)*(-3048*i + 2958*i + 1497*i) to the form v*i**2 + j + l*i**3 + x*i and give x.\nAnswer: -4221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -582*b**2 + 289*b**2 - 7*b + 292*b**2 as c + d*b + a*b**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + 188773116\nAnswer: 188773115.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11572 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*a - a. Let v(l) = 69*l**2 - 15*l + 7. Let b be v(a). Suppose 7*g - 672 - b = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x - 407931 = 438115 - 126712. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 3. Let p(c) = 10*c**2 - 14*c - 19. Determine -p(n) - 6*z(n).\nAnswer: -10*n**2 + 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26\/117 - (-547)\/9.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from {u: 6, r: 2, g: 3, i: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(11206\/(-260) - -43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -5. Suppose 3*a + 12 = 2*a. What is the units digit of (-1 - s)\/(8\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 27 in decreasing order.\nAnswer: 27, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/60*-1)\/((-3)\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v. Suppose -h - 2*h + 12 = v. Suppose -4*r + 16 = 5*i - 0, 3*i + r = h. Solve o - 4*d + 8*d = -18, 5*o + d + 14 = i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14323706, -6.\nAnswer: -6, 4, 14323706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let i(h) = -1. Let q(m) = -7*m - 4. Let d(g) = 4*i(g) - q(g). Calculate d(c(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*w + 2*y, 73*w = 74*w + 5*y - 11. Put w, -5, -46, 0, 1 in ascending order.\nAnswer: -46, -5, w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 3*s - 17, -4*g - 2*s = -76. Let w(h) = -h + 36. Let a be w(g). Calculate the greatest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.8528832 to three dps.\nAnswer: -47.853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x**2. Let f(m) = -29782*m. Determine h(f(b)).\nAnswer: -15078447908*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 10192*n**2 - 12974410*n - 25989604.\nAnswer: -2*(n - 2549)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200110 + 2?\nAnswer: 1200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (132\/(-77))\/(((-2)\/(-7))\/(-1)). Let o(g) = -2*g**2 - 5*g - 2. Let y(a) = 9*a**2 + 21*a + 9. Let b(i) = n*y(i) + 26*o(i). What is b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 - -35. Factor -3*d**2 + m - 9*d + 3*d**4 - 294 + 9*d**3.\nAnswer: 3*d*(d - 1)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 24 - 9)*(0*w - 3*w - w) + 16 + 10*w + 19*w - 24*w in the form k + l*w and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**4 - 377*s**3 - 44*s**2 + 7*s + 12877.\nAnswer: 48*s**2 - 2262*s - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 55\/(-10) - (-14)\/4. Put 4, 14, o, -1 in ascending order.\nAnswer: -1, o, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r + 2*o = 16, -4*r + 5*o - 13 = 0. Suppose -2*s + s = 5*p - 40, r*s = -15. Calculate the remainder when 43 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(36\/(-104))*10*(-24)\/192*4.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 41?\nAnswer: 20\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 46314432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 5. Let x be l(5). Suppose -4*a = 3*f - 30, -4*f = f + 3*a - 50. Let u be (21\/(-35))\/(4\/f). Sort x, 2, u, 2\/5 in increasing order.\nAnswer: u, x, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58659032087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 - k**4\/6 - k**3\/6 - k**2\/2 - k. Let v = -10 - -12. Let z = 5 - v. Determine u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1662, 1641, 1620, 1599?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3*t**2*v**3 + 2865*o**3*t**2 + 2605*o**3*t*v**2 + 3*o**3*v**2 - o*t*v**3 - 2*o*v**3 wrt t?\nAnswer: 6*o**3*v**3 + 5730*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5258933.\nAnswer: 17, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 5*k**4\/3 - 5*k. Let x(p) = -3*p**2. What is x(a(o))?\nAnswer: -1200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 162924 - 18?\nAnswer: 162906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*y - 410 + 46. Calculate the remainder when 15 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4743 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180\/(-8)*20\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = 2*t. Let v be ((-8)\/96)\/(1\/2). Let o = 1.1 - 1. Which is the second biggest value? (a) o (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81061951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/123970 and -61\/32384?\nAnswer: 7934080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 60. Let f(n) = 3*n**2 - 2*n - 1. Let p be f(2). Is z less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000684 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25\/7, -1 in descending order.\nAnswer: 0, -1, -25\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1582 and 30.\nAnswer: 23730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -220\/23, 0.09, 0.91?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 17. Let q = r + -15. Solve -m + q*m = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p - 34*p - 14*p - 6*p**2.\nAnswer: -6*p**2 - 65*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321*-3.\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*q**4 - 1 + 6 + 2*q as p*q**2 + k + i*q**3 + j*q + f*q**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 1\/420*a**7 + 0*a**6 + 0*a + 0 - 4*a**2 - 1\/672*a**8 + 0*a**4 + 0*a**5 + 0*a**3. Solve d(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p + 10. Let t be k(0). Is ((-4)\/t)\/((-2)\/5615) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-63) + (-138)\/1449.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 45.4. Let p = -27.77 + 28. Let f = p - q. Round f to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**4 + 0*b**4 - 4*b**4 + 5*b**2 - 5*b**2 - b**4 + (0 - 1 + 0)*(3 + 2*b**4 - 3) + 4*b**3 - 4*b**3 - b**4 + (6*b**4 + 4*b**4 + 11*b**4)*(3 - 2 + 1).\nAnswer: 39*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*h**5*k**2 + 9807*h**3*k**3 + h**2 - 4*h*k - 70030*k**3 wrt h?\nAnswer: 660*h**2*k**2 + 58842*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27797.37+16076\nAnswer: -11721.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 4*c - 3. Let x be b(-5). Suppose 6*n = x*n + 124. What is the greatest common divisor of n and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 21 = 10*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*q = -0*r - 9, 5*q + 3 = -4*r. Suppose -r*v + 53 + 178 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -14*h**2 - 509. Let i(m) = m**2. Determine z(i(q)).\nAnswer: -14*q**4 - 509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 12:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 9*c**2 + 8*c + 15. Let a be h(-8). Suppose -4*w + a = w. Suppose w = -l + 5*b, -5*l + 4*l + 2*b = -6. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920521.\nAnswer: 1920521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 137, 265, 467, 755, 1141, 1637?\n\"Answer: 2*q**3 + 19*q**2 - 5*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - -62. List the prime factors of (-204)\/9*c\/(-12).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 + 12720*p\/7 + 3691244\/7.\nAnswer: 4*(p + 323)*(p + 2857)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157460227, 157460225, 157460223?\nAnswer: 157460221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + 73*x + 11. What is the hundreds digit of h(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - 9\/(-42). Let b = -0.33 - -0.13. Let p = -2 + 1. What is the closest to p in b, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g + 35 = 0. Let f(o) = o**2 + 7*o + 1. Let m be f(g). Let r(j) = -6*j - 1 + 0*j + 0*j + j. Give r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 1564526?\nAnswer: 1564524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (300\/(-175))\/((-3)\/(-21)). Let r be (141\/12 + p)\/(1\/(-8)). Solve -18 = r*i - 4*w, -5*i - w - 18 = -2*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5252)\/1212 + (-38)\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5991 and 235975505?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2960 and 5624?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 33*a - 200. Suppose -188 - a = -3*t. Suppose -196 = -4*u + t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 16197028.88?\nAnswer: -16197028.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24005 is divided by 1053.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 33419191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -4 (b) 0 (c) 18 (d) 13 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1717, -3306, -4895?\n\"Answer: -1589*d - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 192476 and 7?\nAnswer: 192469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*y + 3. Suppose 0 = w - 4, -s + 2*w - w = -y. Let d(c) = -c**2 + 3*c - 2. Let o be d(3). Sort o, s, 1, 3 in decreasing order.\nAnswer: s, 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1599*p - 25 - 130 = -5*c - 1595*p, 3*c - 42*p = -105 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -25. List the prime factors of ((-20)\/25)\/(k\/(-60)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324 - -1.8?\nAnswer: 3325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = -111*z + 230 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224 + 331. Let x = n + -59. Is 48 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 253, 244, 235, 226?\n\"Answer: -9*b + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*m**2 + 42*m**2 - 43*m**2)*(2 - 6 + 3) - 3*m**2 + 0*m + m + 15*m**2.\nAnswer: -70*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26*v**2 + 121*v + 254. What is g(-2)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.045 + 0.225. Let g = -76.28 + m. What is g rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.07? (a) -6 (b) 20 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/3 - 2)*(54\/2 + -6). Let b(x) = 6*x - 3. Let z(l) = 11*l - 6. Give h*b(c) - 4*z(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/360*(-6 + 0). What is the nearest to t in 4, -24, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*d - 9, 5*g - 2*d - 13 = 2*d. Suppose 3*f = -a - 6, -a = 2*a - g*f - 52. List the prime factors of (a*1)\/((-3)\/(-2)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -16d?\nAnswer: 16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 39d9e?\nAnswer: -39da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 381 = 120. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:45 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 + 137. What is the nearest to a in -0.1, 1.4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microsecond in nanoseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-6))**9\/(j**(-1\/15)*(j\/(j\/((j**6*j*j)\/j)))\/j*j*j))**(-2\/11) assuming j is positive.\nAnswer: j**(1588\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(175\/(-120))*5 - -5. Suppose -n*f = -33*f + 3080. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + f + 3 - 6 = 0, w + 3 = f. Let v be 6 - 5 - (w + -1). Factor 4*r**5 + v*r**3 + 12*r - 10*r**2 - 18*r**3 + 8 + 0*r + 2*r**2.\nAnswer: 4*(r - 2)*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/44*(-4)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from {n: 2, y: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (120\/(-1440))\/((-4)\/6). What is the third biggest value in -2\/15, w, -0.081?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*h + h + 3*s, -3*s = 4*h - 14. Suppose h*c - 4 = -4*v - 16, 5*c = -5*v - 5. Let k = c - 2. Solve -k*i + 6*i = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f**2 - 76*f**2 + 12*f**2 + 36*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3471\/7 - 496. Let u(n) = n**3 + 4*n**2 + 2*n + 9. Let t be u(-4). What is the second smallest value in t, -0.14, j?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = 4*a + 5, 0 = -5*a - h + 2. Is a greater than or equal to 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 1. Suppose 3*a - 81 = -0*a. Suppose 3*o = 6*o + a. Let j be (5\/3)\/((-3)\/o). Let w(v) = -4*v - 2. What is j*n(p) + 3*w(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 + 91 + 2*z**2 - 5*z - 162 + 83. Let d(r) = -6*r**2 - 4*r + 11. Calculate -6*d(p) + 5*u(p).\nAnswer: p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.0087l in millilitres?\nAnswer: 381008.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*3.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57220 and 131245?\nAnswer: 1501967780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40340076 divided by 12\nAnswer: 3361673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 34 + 26 = 4*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z. Let m(v) be the first derivative of v**3 + 241. Calculate m(q(f)).\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = -595 + 730 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.4, -3\/5, -3\/272?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**10*y)\/y)\/y**(-2\/57) assuming y is positive.\nAnswer: y**(686\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 944 - 891. What is the remainder when l is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 2*r**2 + 0*r**2)*(-3 + 2 + 3)*(-3 + 4 + 1) in the form z*r**2 + x*r + b and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(-2\/7)*q)\/q)\/q)\/q)**(-12\/5)\/((q**3*q)\/(((q*q**0*q)\/q)\/q*q)))**(-19\/6) assuming q is positive.\nAnswer: q**(-551\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, -15405 = -5*h - 2*m + 3265. Suppose -g - h = -5*q, -74*q + 69*q - 2*g = -3733. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(2 + -3)\/(3\/3). Suppose 3*v = -12 + o. Let j(w) = -2*w + 3. Determine j(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 79.2. Let s = 0.2 - t. Which is greater: -0.8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 401, 450, 481, 488?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368607203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 + 32\/(-210). Let r = -91066.02 - -92642. Let j = r - 1576. What is the third biggest value in j, i, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.9281 + 0.0281. Let h = -9.9 - o. Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 41, 3495.5, -1\/6 in ascending order.\nAnswer: -5, -1\/6, 41, 3495.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let s(b) = -2*b**3 + 10*b**2 + 3. Give -s(a) - 6*u(a).\nAnswer: 2*a**3 - 4*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 22 = -12*s + 13*s, -5*m - 31 = 3*s. Suppose 5*d - 30 = 4*o, 0*d = -3*d - 3*o - 9. Let t(p) = 2 + p - d. Give t(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14068 + 14070. Let k(z) be the second derivative of 22*z + 0*z**3 + 31\/12*z**4 + 0*z**b + 0 - 7\/5*z**5. What is the third derivative of k(t) wrt t?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8, -m + 3 + 58 = -3*i. Let d be -3 + m\/3 + 4\/(-12). Is 12 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/120 - 7*j**5\/60 + j**4\/8 + 7*j**3\/6 - 58*j**2. What is z(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2918484 bigger than -2918484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -102021200111 (base 3) to base 8\nAnswer: -661643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/11 - 35\/99. Let w = 4 - 7. Which is the third biggest value? (a) w (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 7) in base 10?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5444958*k**4 + 15633566 with respect to k.\nAnswer: -21779832*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = -2*m + 19*l - 568, -m - 280 = l. Let h = m + 281. Let g be -6*(1 + 8\/(-6)). Solve 3*w - h*v + 9 = -g*v, -w + 4*v - 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4)\/(-8) + 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 9:18 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1129.80896 - 1130. Let l = q + 0.19. What is l rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 19*h**3\/6 - 2*h + 2. Let v(q) = 9 + 3 - 12 + 2*q. What is y(v(o))?\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 5) + -6 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - 3*g)*(1 - 4 + 1) + 0*g + 0*g + g - 5*g + 4*g - g + 42*g - 83*g + 39*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 128\/448*5*84\/(-9780)\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z**2 + 4*z**2 + 2*z**2 + 2*z**2. Let c(w) = w. What is l(c(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277\/228 + -2\/57. Let v = 14.1 + 1.1. Let p = -15 + v. Which is the closest to -1? (a) -0.1 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -4*u**7\/21 + 38*u**6\/15 - 313*u**5\/40 + 241*u**4\/24 - 71*u**3\/12 + 7*u**2\/4 - 3*u - 11. Let l(p) = 0. Calculate p.\nAnswer: 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q = 20. Is 1*6\/10 - (-10312)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2 + 3*a - 3. Suppose -2*x = -9 + 27. Let f(o) = -o**2 - 9*o + 2. Let d be f(x). What is l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1692)\/(-2961)*(-294)\/4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) 558.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 86 = 59 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 - 226*v - 32. Let o be n(-45). Solve -25 = -5*d + 4*u, 0 = 2*d - 3*u + 6*u + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 5) to base 16\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -l - 4 - 35, -7*n + 2 = 3*l - 6*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -372, -557, -742?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3402 - 0.4702. What is the closest to 0.2 in -2, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 4*j + j + (24 - 71 - 7)*(3*j - 6*j - 11*j).\nAnswer: 754*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/1577 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + s - 12 = 0, -8*s = 4*b - 6*s - 12. Sort 3\/5, 0.5, b.\nAnswer: 0.5, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1812216, 3624464, 5436712, 7248960, 9061208?\nAnswer: 10873456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61512 divided by -1398?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 7*g**2 - 7*g - 6. Let q be y(-4). Suppose 6*z = q + 428. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 + o + 20. Let r = 22322 - 22316. Determine l(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4935 - -4989. Calculate the lowest common multiple of j and 180.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9479556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*v = -6*r + 393, 3*v - 117 = -r. Let a be 15\/9*(r\/(-24) - -6). Factor -15\/2 - a*p**2 - 25\/4*p.\nAnswer: -5*(p + 2)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*f**2 - 2916326*c**3 + 2*c**2*f**2 + 3668*c*f**2 + 171*c*f wrt c?\nAnswer: 12*f**2 - 17497956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 49\/3*s**3 + 0*s + 9*s**2 - 47. Find the second derivative of b(g) wrt g.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 5*m = 22*v + 18, 0 = -5*v + m - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4 - 33*t - 4 + 0 + 20*t. Let f(s) be the second derivative of -13*s**3\/6 - 5*s. What is z(f(g))?\nAnswer: 169*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 7:54 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 303, 807, 1755, 3369, 5871, 9483, 14427?\n\"Answer: 37*f**3 + 245*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27749 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*p**2\/7 - 2312*p\/7 - 1056\/7.\nAnswer: -4*(p + 44)*(13*p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-7 - (-114)\/12). Find the third derivative of -30 - 4*u**6 + 8 + 25*u**b + 10 - 35*u**3 + 9 wrt u.\nAnswer: -480*u**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20990839487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2 - 10*r - 9. Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 150, 135, 102, 45, -42, -165?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 8\/2)\/(-1). Let t(k) = -h*k + 0*k - k + 3*k. Let z(c) = 7*c. Determine t(z(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 1135356928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 2. Calculate s(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/65 - -1\/2340. Let q(l) be the second derivative of 0*l**2 + 0 + s*l**4 + 1\/12*l**5 - 5\/3*l**3 + 22*l. Factor q(c).\nAnswer: 5*c*(c - 2)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 + 0*v**3 + v**2 - 6 + 8 to b + s*v + t*v**3 + z*v**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + 1. Let k = 1.8 - f. Let y = 0.5 + k. Which is the nearest to 0.1? (a) 5 (b) 2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x - 2*l - 15 = 0, -x = 4*l - 25. Solve k + 1 = 2*v - 1, 5*v - 15 = x*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 74 - 53 + 31 + 41*z.\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 177.\nAnswer: -28\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 745 + -739. Solve t = 5*x + 15, -2*t = -4*x - s - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-21))**41 assuming v is positive.\nAnswer: v**861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 106 - 44 = -99 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 3 - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-8))\/1 - 267\/(-24). Is 12 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 18?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.5 + -12. What is the biggest value in 0.3, c, -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 219*c**2 - 73 - 1013*c**2 + 37 + 36 as z + l*c**2 + g*c and give l.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/1*1\/((-8)\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 442*i + 29017. What is k(58)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - ((8 - -55) + -71)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.022939 from -9634.\nAnswer: -9634.022939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22949268.\nAnswer: 2, 3, 919, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))**(-32)\/(l*l\/((l*l**(5\/3))\/l))**(-31))**9 assuming l is positive.\nAnswer: l**381","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/((-4)\/(-42)). Suppose 18 + 6 = 6*p. Let d = k - p. Solve -3*h = d*t, 0*t = 4*h + 3*t + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*((-18)\/4)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1315, 1320, 1335, 1366, 1419, 1500?\n\"Answer: t**3 - t**2 + t + 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 25970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328718787 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(3 - (2 + 2)). Let h = 1 - s. What is the lowest common multiple of 10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-11 + 4)) + -3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))**2 + 1 + ((sqrt(396) + sqrt(396)*2)*1)**2.\nAnswer: -12*sqrt(11) + 3962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 12741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 - 2*f - 1. Let t be s(-1). Suppose -2*d + 52 = -t*d. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -13*x + 4*f + 2, -20 = -5*x + 5*f. Let p(c) = -60*c**3 + 0*c + 52*c**3 - x*c. Let t(h) = h**3 + h. Give 5*p(n) + 35*t(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - 1001110000100100?\nAnswer: -1001110000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 446*w**2 - 6501*w\/2 - 50645745.\nAnswer: -(w - 591)**2*(w + 290)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178097 is divided by 164?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581800 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56)\/sqrt(4) - sqrt(84)\/sqrt(24))\/(5*sqrt(49)\/(sqrt(35)\/sqrt(5))) + 5.\nAnswer: -9*sqrt(2)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 10*j + 20. What is s(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 553, 538, 151, -740, -2267, -4562?\nAnswer: -7757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**2 + u - u - 3 - 20*u**2 wrt u.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 49*g**3 + g**2 - 1. Let u = 5 - 4. Let t be z(u). What is the units digit of (-72)\/14*t\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -80. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*g + 18, s + 0 - 1 = 0. Let y = -2 + 1. Let u be (g*-1)\/(y + -1). Put -4, u, 0 in decreasing order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -10. Let r(y) = y**3 - 44*y**2 + 42*y + 46. Let a be r(43). Sort -3, o, 0, a in increasing order.\nAnswer: -3, o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20594\/1932 + -16 + 168\/966.\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -351098?\nAnswer: 35109c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.14776?\nAnswer: -0.014776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16760300 to the nearest 10000.\nAnswer: 16760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**3\/2 - 4*t**2. Let k(g) = g**2 - 7*g + 3. Let a be k(7). Let h(r) = -r + 1. Calculate a*h(f) - u(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 3530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 9\/(-1) + (-1875984)\/(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 9. Suppose -2*v - 3*y - z = 0, 2 + 4 = -2*y. Sort -1, 2, v.\nAnswer: -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -113. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 12. Let f = -11 - k. Let s = 5\/18 + -1\/9. What is the second biggest value in f, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2336*i - 434*i = -387*i + 28596 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:54 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 1.1. Let z = -0.4 - 0. Let d = -0.11 + 2.11. What is the nearest to 1\/2 in k, z, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404196260 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Let h(f) = -5*f. Let i(g) = -3*g + 9*g - 5*g. Calculate o*i(d) + h(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113726929 - z**2 + 1113726929.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 972847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + 29*v**2 - 64*v + 16. Give m(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2720 by -32.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-15) - 4) + 15\/25. Solve 0 = t*k + 5*q + 31, 2*k - 5*q = 12 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/((-244)\/(-366)). Is h not equal to -0.0725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 2*d = 4*d - 608 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143654 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:55 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72222 + 65094 = 26*r - 95696. List the prime factors of r.\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(98) + 1)**2 + (sqrt(800))**2 + 3.\nAnswer: 14*sqrt(2) + 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-5)*30\/9. Suppose 2*l = -r*t - 0*t + 6, -3*t - 23 = -l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699086 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mghmlmmgol.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 265781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 + 3. Let k be h(-7). Suppose 5*j = -2 + 17. Suppose -12 + k = -j*i. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -38, -5, 4, 6, -28 in increasing order.\nAnswer: -38, -28, -5, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 6*n**2)*(-2*n**2 + 58 - 7*n**2 - 56).\nAnswer: 54*n**4 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*((5*x - 3*x - x)*(2 - 3 - 3) - 5 + x + 2 + 5) to w + d*x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*w = 10 - 52, n - 2*w - 4 = 0. What is the greatest common factor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*c - 9 - 1, 0 = 2*c - 4*m - 8. Suppose c = -3*p - p + 12. Let d(l) = -l. Let y be d(-3). Solve -f = -y*v - 17, 5 = p*f + 2*f + 5*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224 + -222. Sort 5, -2, 16, i in ascending order.\nAnswer: -2, i, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:01 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 417381469.999074 + -417381912. Let o = 442 + r. What is o rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*j + 32, 0 - 20 = -j - 4*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -2 + -4 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3362 divide 378399824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47\/132 + -1\/44. Let k = -11 - -7.5. Let h = k + 4. What is the third smallest value in c, h, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 2, d: 1, v: 4, w: 1}. What is prob of sequence vwvf?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1026, -2548, -4058, -5544, -6994?\n\"Answer: 2*c**3 - 6*c**2 - 1518*c + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + 2*j)*(2*j**2 - 4*j**2 + 0*j**2)*(-100 - 141 - 148).\nAnswer: 1556*j**3 + 1556*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 38 + 40 + 7*w**3 - 113 + 40 - 3 to the form h*w**2 + u + o*w + b*w**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -61*t + 304. Let g be u(5). Put -2, 28, 9, -3, g in increasing order.\nAnswer: -3, -2, g, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -3?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -55\/6, 2\/11, 0.0142, -3\/44, 0.3, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 620.9704 + -89.1674. Let i = a + -531. Round i to two decimal places.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*v - 128 = -v, -6*d + 201 = -8*v + 13 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248263094?\nAnswer: 2, 124131547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 21. Let t(s) = 29. Let y(k) = -3*f(k) + 2*t(k). Let c = -60 + 43. Let g be c\/3 + 2\/(-6). Calculate y(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 31. Let r be w(7). Suppose -3*d = -2*z + 2*d + 26, -3 = r*z + 3*d. Solve -2*g = -g - z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -11 + 43. Let b be ((-12)\/32)\/((-12)\/i). What is the closest to -2\/7 in -2\/5, b, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8317 or 8310?\nAnswer: 8317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 14552 = 30915. List the prime factors of z.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwi when three letters picked without replacement from iwpkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7089*s**2 + 7063*s**2 + 34*s - 34*s.\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.4. Let h = -1 + -1. Let f = -2 + h. Sort f, 0.1, r.\nAnswer: f, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-42051102\nAnswer: -126153306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thttththhhhthhht. What is prob of sequence ttt?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 0*m**3 + 0 - 2\/7*m**2 + 2\/7*m**4 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205670642 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-5 - (-8)\/(-2)). Let t(q) = -y*q - 9*q - 2 + 23*q - 13*q. What is t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/870 and -113\/132.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:45 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/r**2)\/r*r)\/r*r*r**(2\/13))\/(r**(-1\/5)\/r*r*r**1))**(-18) assuming r is positive.\nAnswer: r**(756\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6369?\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(9\/(-12)*-1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 10211001101?\nAnswer: 10211001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*o**3 + 12*o**2 - 2*o**4 + 34*o**2 - 55*o**3 wrt o?\nAnswer: -48*o - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 - 43 - 2*g**3 + 319*g**2 + 120 to the form o*g**3 + t*g**2 + z*g + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-16))\/(215\/(-40) + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -169*u**5 - 468*u**4 + 820*u**3 + 2390*u**2 - 651*u - 1922 = 0.\nAnswer: -31\/13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 27*a**2 - 40*a + 118. Determine q(28).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.91 + -1.73. Let d = a + 0.8261. What is d rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220+1.964878\nAnswer: -2218.035122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -884*z + 884*z + 3*z**2 + 21 + (5*z - 2*z - z)*(4 + 2*z - 4) - 3*z**2 + 2*z**2 + 0*z**2 - 2*z**2 - 4*z + 4*z + 2*z**2 + 0*z**2 - z**2.\nAnswer: 5*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -27 in ascending order.\nAnswer: -27, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1694\/5 + -18644\/55. Put 4, -2, 54, p in ascending order.\nAnswer: -2, p, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0.143152, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 556 - 555.9. What is the closest to 0 in x, 0.3, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1 + sqrt(17) + -2) + 5)*-4)**2.\nAnswer: -896*sqrt(17) + 5136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Is t at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(((-1080)\/(-32))\/(-15)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 + 2*j + 4. Calculate o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/120 + 9*p**4\/8 - 5*p**3\/6 + 3*p**2. Let w(z) be the first derivative of l(z). What is the tens digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769514 is divided by 256502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*z**2 - z + 770*z**2 + 88*z**3 + z.\nAnswer: 88*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3075 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 4, y: 3}. Give prob of picking 2 y, 1 l, and 1 c.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2*r - 7. Let z be y(-4). Differentiate -55 + 64*p + z*p - 33*p with respect to p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:33 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 1 - 11. Let k(t) = -2 + g*t + t - 5*t. Let l be 6\/30*(7 - 2). Let b(u) = -u - 1. Give l*k(o) - 3*b(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18124*0.5\nAnswer: 9062","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*p + 4*f - 6, 2*p - 5*f = -21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a*a\/(a**1\/a)*a*a*a**3\/a*a\/((a\/(a\/(a**(1\/2)*a*a)))\/a)*a*a)\/((a*a**(-2))**(-22))**(-1\/15) assuming a is positive.\nAnswer: a**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*w - 115 + 235*w + 56 + 238*w.\nAnswer: -2*w - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 66*n - 128 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 21756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:32 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d**3 + 1\/8*d**4 + 0*d**6 - 1\/112*d**8 + 69*d**2 + 1\/35*d**7 + 0*d - 1\/10*d**5 + 0. Find r, given that o(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301757496 a multiple of 2642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4\/5, 8, 2\/3, -86 in decreasing order.\nAnswer: 8, 4\/5, 2\/3, 2\/5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = 726 - 150. Let c = m + 50. Solve -2*h + 5*g - 2 = -0, c*g = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 194 - 258 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 z, and 1 t when three letters picked without replacement from {d: 4, z: 2, t: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2832, 4754, 4874, 2298, -3868, -14518, -30546?\nAnswer: -52846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 20 (b) 4\/3 (c) -0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 40 = 29*m. Suppose 0 = -i + 4*u + 15, -3*i + 52 = 3*u - m*u. Calculate the remainder when 170 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/18*(3 - 1). Let v = c + -9. Is 804\/18*v\/(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + -405.7. Let w = -390 - x. Suppose -6*u + r - 14 = -u, 4*u = -5*r - 17. What is the second biggest value in w, u, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from mosososowsm?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((18 - 15) + (-2 - 4) - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 505*w**2 - 2532*w - 126. Determine i(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, and 1 r when three letters picked without replacement from {w: 10, l: 1, c: 5, r: 2, g: 1, m: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 31. Let n(k) = -2 - k**2 - 1 - 8 + 0 - 11*k. Let w be n(o). Calculate the greatest common factor of w and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 j when three letters picked without replacement from {j: 8, m: 4, h: 1, b: 1, k: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013685933 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -931\/8 - -8395\/72. Let i = -0.1 + 1.1. Which is the nearest to i? (a) 5 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-466)\/(-2))\/((0 - -2) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -10. Let b = 0 + p. Suppose b*t - 27 = 42. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + w)*(-5517 + 5509 - 57*w**4 + 15*w**4).\nAnswer: 84*w**5 + 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - (7 + -8)) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*o + 34*o + 43*o)*(-6*o**3 + o**3 + 4*o**3).\nAnswer: -37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9506 and 3459214.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - p - 6*p - 4*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**7\/945 + r**6\/540 - r**5\/270 - r**4\/108 - r**2 + 2. Let j(g) be the second derivative of f(g). Factor j(o).\nAnswer: 2*o*(o - 1)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5624065*y**4 + 22507446 with respect to y.\nAnswer: 22496260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -0.28, -6 in ascending order.\nAnswer: -22, -6, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -326759 and 589931.\nAnswer: 263172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**5 - p**3 - p**2 + p. Let g(q) = -3*q**5 - 4*q**4 + 7*q**3 + 9*q**2 - 9*q. Let i(b) = -g(b) - w(b). Factor i(r).\nAnswer: 2*r*(r - 1)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 25. What is the remainder when 392\/40 + d\/10 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2021?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89882 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-12))\/((-3)\/(-18)) + 1. Calculate the common denominator of a - 5 - (-143)\/10 and 149\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43 + 0.43. Let w = -63 - -379\/6. What is the smallest value in w, -4\/7, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)*3 - -38. Suppose -3*n - v + 1 = 0, 3*n + 2*n - q = 5*v. Let s = n - 4. Which is the second biggest value? (a) -4 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + j**2 - 3*j - 4. Let c = 14 - 11. What is the tens digit of f(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f + 152. What is i(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*z + 1 - 237*z - 1.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 2. Let h(x) = -2*x + 1. Let n(z) = -5*b(z) - 8*h(z). Suppose -5*m + 13 = 5*u - 7, u - m = 0. Let f be n(u). Solve f*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 553 - 259. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 81, 123, 165, 207, 249?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5476 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20709*r**2 + 13*r - 50. Let k be t(-18). Round k to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ououuuoolloooooo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 575.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s*z**3 - s*z**2 - 656*s - 155*z**3 wrt z?\nAnswer: -6*s*z**2 - 2*s*z - 465*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2547 - -2562. Let j(h) be the third derivative of 0*h + 5\/6*h**3 - 1\/60*h**5 + 7\/24*h**4 + w*h**2 + 0. Give j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45910955 divided by -93505?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m, 44*r - 45*r + 4*m = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (828\/(-20))\/(-9) + -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 5*h - 3. Let o(s) = s**2 - s. What is d(p) + 3*o(p)?\nAnswer: p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/90 + 42\/189?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggdggghgdgggddggdg. Give prob of sequence gd.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w - 63. Let i(l) = -15*l + 62. Determine 6*c(k) + 5*i(k).\nAnswer: 9*k - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75296.06 milliseconds to seconds.\nAnswer: 75.29606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -342101?\nAnswer: 342101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1625 - 1625.2182. Let f = -0.0182 - u. Sort f, 2, -2\/59, -1\/5.\nAnswer: -1\/5, -2\/59, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221250 + 28345. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 955*t - 15277. Determine u(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(75))**2 + sqrt(75) - (sqrt(108) - (sqrt(108) + -3)**2)) + (sqrt(21)*1*-2)\/(sqrt(700) - (sqrt(700) + sqrt(700)*2)).\nAnswer: -369*sqrt(3)\/10 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 7*t - 3 + 2*t)*(-2 + 1 + 0)*(102 - 38 - 20).\nAnswer: 308*t + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5832.2 rounded to the nearest 10?\nAnswer: -5830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 n when three letters picked without replacement from {n: 1, s: 6, l: 2, m: 6, w: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162*q**3 - 2*q**2 + 66*q - 979488 wrt q?\nAnswer: -486*q**2 - 4*q + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498580?\nAnswer: 2, 5, 224929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 594 + -414. What is the tens digit of (-1)\/(-5) + 194724\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7876599 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: What is the millions digit of 70104984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152 (base 6) to base 13.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4 = -y + 13, 4 = -4*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394 divided by 54?\nAnswer: 133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04999996 - -0.05. Round c to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*j**3*l - 241*a*j**3 + 198*a*l - a - 27*j**3*l - j**2 + 3*j - 2*l wrt j.\nAnswer: -12*a*l - 1446*a - 162*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 40 = 2*g. Let o = g - 11. Calculate the remainder when 24 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + s + 1 - 1 - 3*s - s + 2*s + s + s + 1 - 1 + (-3 + 1 + 1)*(1 - s - 1))*(33*s - 15*s - 8*s).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84)*-1 + sqrt(84)))*-4)\/((sqrt(60) + sqrt(540))\/sqrt(5)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -10. Put -5, q, 0 in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12 - 2*v + 1 + 8 + 1. Is u(-11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 5088\/102 - (-236)\/(-2006).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 o, and 1 z when four letters picked without replacement from {z: 3, d: 4, p: 8, o: 2}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - -1) + 153\/(-54))\/(315\/(-441)). Factor 8\/3*o + 2\/3 + l*o**2.\nAnswer: (o + 2)*(7*o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 9*f - 198 = 0. Let a = 50 - f. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -211\/21?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 2*z**3 + z - 2*z + 8*z**2 as r*z**3 + v + b*z + x*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 4429875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 137?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767 and 90961.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxgmkgmuxuumgxmxgxg. Give prob of sequence ku.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 - 664*c**3*d*o**2 + 2*c**3*d - 20*c**2*d + 47*c**2*o + c*d*o - d*o**2 - 2*o**2 wrt c.\nAnswer: -120*c**2 - 3984*d*o**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) -1.9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1513*w**3 + 3471 wrt w.\nAnswer: 4539*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 3, t: 4, r: 2}. Give prob of picking 1 m, 2 t, and 1 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2505, 1806, -165, -4044, -10467?\nAnswer: -20070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157685 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-3)*(-42)\/(-8). Let y = 41 - r. Let p be 1*25 + (-1 - -2). Calculate the highest common divisor of y and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113607380?\nAnswer: 2, 3, 5, 53, 350191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbisbsllbj. What is prob of picking 1 b and 1 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122010 or -57\/4?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12449 and 8.\nAnswer: -99592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sas when three letters picked without replacement from aixgsiagsgwg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -549.75, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 2*z)*(3 - 2 + 11*z - 18*z).\nAnswer: 7*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656213 and 54569.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438974 divided by 1.\nAnswer: -438974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -110 (b) -4 (c) 0.04 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/490 - 222\/21.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from dvududduduuvdddud.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l. Let x(j) be the third derivative of -j**8\/4032 - 3*j**5\/5 - 17*j**2. Let m(i) be the third derivative of x(i). Calculate m(g(d)).\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 28*t**2 - 454*t - 13399. Calculate m(-25).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620674 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 j(a) = -14*a**3 + 25*a**2 + 26*a - 1. Let k(v) = -15*v**3 + 20*v**2 + 21*v - 1. Let n(l) = 4*j(l) - 5*k(l). Determine n(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/4*((-273)\/(-2086))\/(-39).\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -22*z + 17*z, 0 = 5*x + 3*z - 23. Solve -3*d + v + x*v + 2 = 0, -3 = -2*d + 5*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - 9) + (-2 - -1) - (54 + -52)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 16 = u - m, -5*u = -3*m - 92. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 22*r**2 + 19*r + 43. Let t be u(21). Let d = -9 + 6. Which is the nearest to t? (a) -3\/2 (b) 3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 738.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 + 126*r + 1482. Calculate h(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301728 and 150864?\nAnswer: 301728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 66?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 2*d + 2117. Let z be c(0). Suppose 5*q = 4*x - z, 4*q - 9*q + 2635 = 5*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)**36)**27*((a*a**(2\/7)*a)\/(a\/(a*a**3*a)))\/(((a*a**(2\/13))\/a*a)\/(a**(-2\/7)\/a)) assuming a is positive.\nAnswer: a**(25322\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9931.931 to the nearest one hundred.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -5\/2 (b) 3\/2 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 11836*s**2\/3 - 27612*s - 112\/3 = 0. Calculate s.\nAnswer: -4\/2959, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 at least -7130993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u)**(-15)*u*u**(-2\/11)*u**4*u assuming u is positive.\nAnswer: u**(889\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 25*k - 4*k**3 - 16 + k - 12*k**2.\nAnswer: -2*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 60*m**3 + 41979*m**2 - 728*m + 330?\nAnswer: 12*m**2 + 360*m + 83958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565887063 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7398186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -585*k**2 + 1 + 17 + 0*k - 9*k + 2*k. Let y be b(-6). What is y rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 m when four letters picked without replacement from ssmsmmsmmmmmmmmmsss?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13884 and 1752588?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k - k. Let q be -10*(8\/20 - k). Let h(t) = 0 + 2 + 2*t - 5*t. Let m(d) = d - 1. Give q*m(b) - h(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.9 and 29511.\nAnswer: 29512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/3, -4740, -0.4, 18?\nAnswer: -4740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 58*p - 120. Calculate v(-7).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:25 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + g**5 - g + (3*g**2 - 3*g**2 - 2*g**2)*(-2*g**3 - g**3 + g**3) + 64*g**2 - 64*g**2 - 11*g**5 - 4*g**5 + g**5 + 4*g**5.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 = -4*l - 4*k - 307, 1 = 2*l + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 33310 - 875423 = 106004. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 + 1252 + 19*h**3 - 1252.\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 147. Let u be (2 + -12)\/(-5) - 17\/((-153)\/(-54)). Put j, u, 2, -5 in descending order.\nAnswer: j, 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - -28) - (-203 - -164)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((20\/(-6))\/(-2))\/((-108)\/56052). Let h = w + 869. Solve 4*v + h*c - 8*c = 4, -4*v = -5*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101221 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11109062231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703436431.\nAnswer: 59, 173, 179, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.057 and -0.014854892.\nAnswer: -0.071854892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48474.41 in 1\/2, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55 - 61*q**3 + 49 - 3*q**4 + 2*q**4 + 5*q**2 wrt q?\nAnswer: -24*q - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001011111 - -10100?\nAnswer: 100011001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14056 + 1052?\nAnswer: 15141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -19*n**4\/12 - 19*n**3\/6 - 42*n + 3. Find the second derivative of k(c) wrt c.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 1881 = -2171. Let j = -236 - -62. Let r be ((-10)\/4)\/(3\/j). What is the highest common factor of w and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19440 and 1096080?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 19 + 65. Let k = -2101 + 16857\/8. What is the common denominator of k and -1 + (-3 - q\/(-15))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 51357.95us?\nAnswer: 51357950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53788 and -0.5.\nAnswer: -26894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 133018507?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.745? (a) 0.1 (b) -1 (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*h - 496*h + 1365*h - 654*h**2 - 2.\nAnswer: -654*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 - t**2 - 2*t + 19. Let x(y) = -y**3 - y**2 - y + 1. Let g(u) = a(u) - 2*x(u). Let f = 2 + -2. What is the units digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, 24 = 2*h - 0*h + 5*i. Suppose -4*t - 2*f - 158 = 0, h*t - 4*f + 54 = -0*t. Is t equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217683 divided by 171\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 40*t = -6. Let w be t\/2*4\/6. What is the smallest value in 4, w, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, 1115, -4, 4 in decreasing order.\nAnswer: 1115, 4, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**(-5)))\/(l\/(l**(-1\/3)*l)))\/(l**12\/l**8) assuming l is positive.\nAnswer: l**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3 - 10*j**2 - 17*j - 8 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*p = 130, 9*x - 8*x = 3*p + 43. What is the remainder when 165 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110932 - 181.4.\nAnswer: -111113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**5\/30 - d**3\/3 - 5. Let f(b) be the third derivative of a(b). Let m(x) = 2*x**2. Calculate m(f(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 832856.8 micrometers?\nAnswer: 0.0008328568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(245) + (sqrt(245)*-2 - sqrt(245)) + 2 + (sqrt(245) - 2*sqrt(245))*6)**2.\nAnswer: -1344*sqrt(5) + 94104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 14*m**2 + 34*m - 285. Determine r(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3870*i**3*o**2 - 3651*i**3*o + 2*i**2*o - 2*i*o - 10*i - 2846*o**4 + 11 wrt o?\nAnswer: -7740*i**3 - 34152*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247641 + -140123. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9476 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/9, 5, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3971 and 361.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 1:05 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**3*v**2 - 11*s**3*v - 106246*s**3 - s**2*v**2 + s**2 - 4*v**2 + 86387*v + 1 wrt s?\nAnswer: 48*v**2 - 66*v - 637476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 758?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 + 192 = 5*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111.31 + -111.29. What is the closest to 1\/2 in -2\/51, 5, 0.6, y?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10275 - 133577\/13. Which is the biggest value? (a) 1\/246 (b) i (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322014030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - (18 - 16) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23410 is divided by 80.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 2}. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - s**3 - 3*s**3 - 2*s**3 - s**3 + 4*s**3 + (s**2 + s**2 - s**2)*(1 - 1 + 2*s) + 1 + 3*s**3 - 1.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146\/3 or -49?\nAnswer: -146\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 219\/9 - (-4)\/6. Suppose 5*b - 3*y = -39, 5*y + 28 = -5*b + 3*b. Let p = x + b. What is the greatest common divisor of p and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 27 = 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*m = -833. Suppose -m*g + 116*g = -96. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 9*w - 5. Let y(k) = -k - 6. Let t be y(-8). Suppose -r - t*i - 18 = 3*r, 0 = -3*r + i - 16. List the prime factors of g(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Let k be -4*(-6)\/(-4) - (-9)\/(81\/90). Which is the biggest value? (a) v (b) -1\/15 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**2\/5 - 446436*d\/5 - 892856\/5 = 0?\nAnswer: -111607, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*16.3\nAnswer: -11.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/94 - 181\/658. Let k = 4 + -9. Let q = k + 5. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/180 + 7*y**4\/72 + 2*y**3\/3 - 27*y**2. Factor b(l).\nAnswer: (l + 3)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/9*h + 4\/9*h**2 + 8\/3 = 0. Calculate h.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let u(g) = -g**2 + g - 5. Let a(m) = u(m) - 5*y(m). Let z be a(-3). Solve z*d + 3 = 2*c - 16, c = -d - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92886 divided by -30962.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 - 2*a**2 + 20 - 7*a**2 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*a + 4*m - 17, 2*m + 14 = -2*a. Let c be ((-3)\/a)\/(2\/12). Suppose 0 = c*n - 142 - 36. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -762 * 0.5\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -b - 4*z - 14, -3*z - 6 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 608 = -110 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/56*-2*(-8)\/4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*w + 24 = -w, 2*d = -2*w + 28. Let q = d + -4. What is the lowest common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3764*s + 2247*s - 1 + 1522*s + 1.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34677175 and 650?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38932651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 778 and 413118?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*g + 34*z - 8*z = 481*g - 110, -g - 5*z = 35 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 1071*q**2 + 6539*q + 1818. What is w(-363)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -11*q**4\/24 + q**2. Let n(u) = -u**2. Determine n(t(i)).\nAnswer: -121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458952 and 624?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5082111*b**2 - 5082111*b**2 + 0*b**3 + b**3 - 2*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 912 divided by 6\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/188472 and 29\/94236?\nAnswer: 188472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15))\/(1568\/2940).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 41 + 36. Suppose 6*o = n*o + 10*o. Solve x = o, 4*x = 3*l + 8 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i. What is the remainder when 39 is divided by r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67519957 divided by -854683?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -157620*3\nAnswer: -472860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 1522847306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1059, -483, -3049, -6639?\n\"Answer: -512*s**2 - 6*s + 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3891 - -1?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-4) - (-21)\/14) + 3. Sort l, 4, 9 in decreasing order.\nAnswer: 9, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 16*o - 3*w + 1123, 0 = -4*w - 4. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50946 divided by 214\nAnswer: 25473\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14 = -0*y. Suppose -3*n + y = -7. Suppose b - n = -5*q + 33, -q = -4*b + 244. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2. Let r(a) = -2*a**2 - 659. What is c(r(o))?\nAnswer: -8*o**4 - 5272*o**2 - 868562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*y**2 + 25*y + 5*y**4 - 25*y + 41*y**2 - 2*y - 2 + 4*y**4 in the form t*y**2 + w*y**3 + g*y**4 + j*y + h and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 + 2 + 5*i**4 - 1 wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -15064572?\nAnswer: 1\/5021524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -77, -96, -117?\n\"Answer: -j**2 - 14*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -4, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t + 15. Let a(k) = 5*k - 10. Let c(i) = 3*a(i) + 2*o(i). Let m(n) be the first derivative of -8*n**3 + 1. Give m(c(q)).\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3)**20)**(-15\/4)\/(b*b**(1\/3)*b*b*b**(3\/8))**28 assuming b is positive.\nAnswer: b**(-1973\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -33. Let s(o) = -o**3 + o**2 - 2. Let m(t) = -5*t**3 + 5*t**2 - 11. What is b*s(y) + 2*m(y)?\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + (-94)\/14)\/(672\/(-2940)*2\/4). Find o, given that 5\/4*o**4 - 375\/4*o**2 - 115\/4*o**3 - t - 385\/4*o = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/78448714 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1205, 1950, 2223, 2012, 1305, 90, -1645, -3912?\nAnswer: -6723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -7 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5922 + 0.0922. What is the nearest to -0.05 in f, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -313, 14\/61, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -255*s + 15222. Calculate o(60).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 14*g**2 + 2*g - 23. Let d be v(14). Let s be d - ((-30)\/(-27) - -4). Let t = 3 + -3.1. What is the closest to t in -5, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8312 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2449.2 + -2449. What is the second smallest value in -0.041, -2, y?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:46 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303332211203 + 3?\nAnswer: 303332211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/2112301?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g = -115831 + 416984 + 342277. What are the prime factors of g?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -598 in descending order.\nAnswer: 0.4, -3, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5052\/(-5894) - (-92)\/(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13201023 (base 4) to base 12.\nAnswer: -159a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28599994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56.95, -1\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -14556645.\nAnswer: 1\/14556645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*q**3 + 1)*(2 + 0 - 4)*(2*q - 4 + 4) + 4*q**4 + 8*q**2 - 8*q**2.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(0 + 0 + 5) - 2 + 4 + 0 + 0 + 2 - 3)*(5*k - 2*k - 2*k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 5*w. Let d(m) = 10*m**2 + 2*m + 1. Let o be d(w). Let c be o\/(0 - -3) + -1. What is the second smallest value in -2, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4*y**(-3\/5)*(y\/(y**(-1)\/y)*y)\/y**(-2\/5)*y**(2\/5)\/y**(-2)*y**2\/y*y*y*y**(1\/3) assuming y is positive.\nAnswer: y**(203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 12044942 and 12044941 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119159.\nAnswer: 119159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/3 - 208*w**2\/3 - 422*w\/3 - 212\/3 = 0.\nAnswer: -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51878.34247 and 0.0233?\nAnswer: 51878.36577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78000357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 88432, 167009, 245586, 324163, 402740?\n\"Answer: 78577*c + 9855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 18372563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -34. Let h = -52 - f. Let i = 3 - h. Solve t = 2*t - i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -3. Let t = i + 10. Let y be -2 + 3*21\/9. Solve -5*o = -15, -y*q - 1 = -t*o - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23732.354*0.1\nAnswer: -2373.2354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829638941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*s - 839*s - 9*s**3 + 266*s**3 - 4*s**3.\nAnswer: 253*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092 + 44809959?\nAnswer: 44809958.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321*i**2 - 762?\nAnswer: -642*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.59 + 12.584147. Round q to four dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5403950358 and 0.5.\nAnswer: -5403950357.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 4, m: 2, e: 1}. What is prob of picking 1 j, 2 m, and 1 w?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-2 - -18) + 0 - (6 + -6 - -61).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0183461 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 27, -16, 41 in descending order.\nAnswer: 41, 27, 3, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 2:57 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 0.046?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 - -91. Let n = -9 - -81. Let m = n + g. What is the closest to -0.1 in 1\/5, m, 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/5454 - 99536\/2727. Is t greater than or equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 5. Let g = -16 - -6. Let v be j(g). Let a = v + 45. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 44*v - 1. Let c(a) = -4820*a + 2021. Let q(h) = -c(h) + 3*l(h). Find the first derivative of q(o) wrt o.\nAnswer: 4952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 10 = 3*v - 2*g, 0 = -2*v + 4*g + 20. Let n = 5 - v. Suppose a - 6 = -2*a - n*k, k = -2*a - 3. Do a and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/104 + 1*2\/(-4)*9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 - 32*a**2 - 4*a. Let k(b) = 3*b**3 + 21*b**2 + 3*b. Let w(g) = 8*k(g) + 5*y(g). Let w(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 725471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 3*p**2 + p + 3. What is q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1*sqrt(49))\/sqrt(7) + 4)**2*3 - ((sqrt(35)\/sqrt(5) + 3 - sqrt(7))*3 + 4)).\nAnswer: -24*sqrt(7) - 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 204414720 and -140226.\nAnswer: 204274494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 2, z: 1, h: 1}. What is prob of picking 1 p and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 1045*c - 4 - 2 + 1044*c - 4*c**2 to the form o + p*c + q*c**2 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 5. Give o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd2e5e (base 15) in base 14?\nAnswer: -1428514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) 184 (c) -14500 (d) -0.5 (e) -3 (f) -0.2 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*r**4 - 152*r**5 - 144*r - 40*r**4 - 31*r**4 wrt r.\nAnswer: -3040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17864729, -17864731, -17864733, -17864735?\nAnswer: -17864737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + q + 70 = 0, 37*q - 112*q = -5*b - 37*q - 42*q - 82 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(128)) + sqrt(128))**2 - (5 + (sqrt(128) + 1)**2)) + (5*(sqrt(128) + 1) + sqrt(128))**2 + 3 + -1.\nAnswer: 432*sqrt(2) + 4633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 8*i**2 - 9*i - 8. Let t be 0 + -5 + (-5 - -3). What is the remainder when 17 is divided by l(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 4*l - 7. Let m be b(-6). Suppose -5*z = m*i - 68 + 23, 9 = z - 2*i. Find the second derivative of 9 - z - 2*q + q**5 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -2, 23, 70, 145, 254?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.065 and 476.\nAnswer: -30.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = 30. Let y = u + 4. Is y smaller than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-10 + 7 + -2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1, t: 2, g: 1, c: 1, o: 2}. What is prob of sequence tg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.2 + 40. Let r = -0.1 - g. Let m = -1 + -3. Sort r, 1\/3, m in descending order.\nAnswer: 1\/3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109314 is divided by 101331.\nAnswer: 7983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*1*(-1)\/(-3). Let i = -1 - r. Let q = -1 - i. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*c + 82*c + 521*c**3 - 40*c.\nAnswer: 521*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163*d**3 + 61*d**2 - 8*d**2 - 51*d**2.\nAnswer: -1163*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 198429?\nAnswer: -198429.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 0, i = -2*v + 5. Solve 2*n - m - v = -0*m, m + 2 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -3*k**4\/2 + 4*k**2 + k. Let v(t) = t**2. Calculate r(v(b)).\nAnswer: -18*b**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -21. Let q(i) = 3*i**3 - 3*i + 1. Is 4 a factor of q(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 132. Sort -4, -1\/4, d in ascending order.\nAnswer: -4, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0082031 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9535527?\nAnswer: 3, 1059503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b - 16*b + 13*b - b**2.\nAnswer: -b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71213 - 48035. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -25*r**2 + 851*r - 34. What is u(34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3 - 8. Let g = 13.61 + -13.91. Which is the nearest to -2? (a) -5 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8202967 years?\nAnswer: 0.0008202967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i - 4. Let p(t) = -t**3 + 7*t**2 - 8*t + 16. Let g be p(6). Suppose -3*q + 3*w = -51, 56 = 5*q + g*w - 2. Let k be q\/3 - (-1)\/3. Give u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + (-90)\/(-21). Suppose -50 = -t*v + 26. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 24. Which is the closest to -2? (a) -3 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -119. Suppose 122 = -h*o - n, -o + 5*n - 36 = 3*n. Let z be 258\/16 - (-1 + (-45)\/o). What is the greatest common factor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2187 is divided by 908?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -490.8, 136, 2, -4\/7?\nAnswer: -490.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 10. Let a = 5 - 13. Let x be n(a). Suppose x*y - 4*u = 0, -3*y + u + 2 = -2*y. Solve 0*l = -y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.68575 take away 2476?\nAnswer: -2479.68575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 4*g**2 + 5*g + 3. Let f be h(-5). Suppose 2*j - 6*j = -56. Suppose -n = 6*n - j. Solve 2*w = f*y + 1, -n*y - 6 = w + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136) - sqrt(136))*-3 - sqrt(136))\/(sqrt(8) + sqrt(8) + sqrt(8) + sqrt(392)*1).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 5*p - 3. Let m(c) = 3*c**3 - 10*c + 5. Let a(k) = -5*l(k) - 3*m(k). What is the second derivative of a(r) wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*v - 108*v + 275 = -2185 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s - 3. Let o be r(-3). Let q = o - -1. Let h(v) = v**2 - 2*v - 6. Let g(d) = 1. Let m(a) = q*g(a) + h(a). What is m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**7\/210 - f**4\/12 - f**2\/2 - 2*f. Let g(b) be the first derivative of z(b). Find the second derivative of g(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/(2\/6). Let t = -5861\/6 - -977. What is the second smallest value in -0.07, y, t?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(105)\/sqrt(3) + sqrt(35)) + sqrt(1715) + sqrt(1715)*1)*4)\/(-4*(2*sqrt(5500))\/sqrt(11)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/3*-2 + (-15)\/45. Suppose -q + 57 = 2*q. Find the common denominator of q and 17 + i + (-34)\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36977 is divided by 16245?\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -5.9?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9153477 is divided by 9153468.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 + 8*l**2 + 68*l wrt l?\nAnswer: 6*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5336261*p**6 + 3219804*p**2?\nAnswer: 640351320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -8. Let d be 2\/(-2 - (-24)\/9). Suppose -m*l + 195 = -d*l. What is the remainder when l is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l + 5*l + 5*l + 3*l to i*l + b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -12. Factor r**2 - 2*r**2 + 0*r**3 + 3*r**2 - z + 2*r**3 - 2*r.\nAnswer: 2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96303\/37829 - 1\/3439. Let f be (4\/8)\/(1\/8). Calculate the common denominator of b and f\/16*45\/(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1)*2*6)**2 - (sqrt(45)*2*-5 + ((((sqrt(55) - (sqrt(55) - sqrt(220)\/sqrt(4))) + sqrt(55))*-5)\/sqrt(11))**2).\nAnswer: -3426*sqrt(5) + 103324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z + 41. Determine f(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:14 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 300323909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 367330?\nAnswer: 367325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7*s**2 + 0*s - 3\/8*s**4 + 0 - 5\/6*s**3. Let f(u) = -u - 1. What is -6*f(d) + h(d)?\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1801 + -541. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/126 and -7\/1225278.\nAnswer: 8576946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 25*w**2 + w + 1. Let y be o(3). Suppose -3*t + y = h, -2*h - 3*h - 4*t = -1167. What is the common denominator of 63\/8 and 1 - (0 - h\/(-60))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) 2\/15 (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0 (c) -0.021 (d) -3 (e) 0.04 (f) 3\/86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnna when four letters picked without replacement from anananaaaaaanj.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -807, -6406, -21603, -51198, -99991, -172782, -274371, -409558?\n\"Answer: -800*n**3 + n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -0*r - 2*r - 2*j, -5*j - 20 = 0. Let s = r + 32. Let p(y) = 2*y**2 - 7*y - 5. Let l(n) = -2*n**2 + 6*n + 4. What is s*l(x) + 6*p(x)?\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4 - 6*b - 2 - 1 - 31. Let x be n(-8). Let w = 19 - x. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 72 = -9*l. Suppose l + 0 = -4*m, 5*m + 10 = -5*p. Which is the third smallest value? (a) -40 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -3*i**4\/4 + i**3\/3 + 3*i**2\/2 + i + 80. Let h be d(-1). Solve h*u + 8 = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265194926.80000083 - 265194922. Let y = q + -4.8. Round y to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.066, -0.3, -5, -2\/9, -0.02?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 1:50 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 24*d**4 + 4*d**3 + 4*d + 48. Let z(n) = 23*n**4 + 3*n**3 + 3*n + 49. Let o(w) = 3*v(w) - 4*z(w). What is the derivative of o(a) wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 32*x**2 - 6*x - 5. Let c(p) = -21*p**2 + 4*p + 3. Calculate 8*c(i) + 5*j(i).\nAnswer: -8*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 10 + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-25)*y*y\/(y\/(y\/y**(-1\/13)))*y*((y**(2\/43)*y)\/y)\/y*y*y**(-20))**(-11\/4) assuming y is positive.\nAnswer: y**(257499\/2236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epgggeee. Give prob of sequence gg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2683.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -100*s + 35*s - 168*s. Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 40524*n**3 + 136646778*n**2 - 1369508580*n + 3426306075.\nAnswer: 3*(n - 5)**2*(n + 6759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1098127 centuries?\nAnswer: 10.98127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117716 + 2?\nAnswer: -117714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -2*o, -o = 4*y - 2*o - 16. Suppose -2*u + y*p = -188, 0 = 2*u + 5*p + 13 - 181. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + 3232*c**2 + 22587*c + 38700 = 0.\nAnswer: -3225, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Calculate the remainder when (-3)\/(-4) + 195\/12 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/2 - -2. Let x(s) = s + 6. Let k be x(-8). What is the third smallest value in -2\/3, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 14, -69, -0.96.\nAnswer: -69, -0.96, -2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 160\/3*(2 - -4). Let f = z + -146. What is the second derivative of -6*g + 182*g**3 - f*g**3 + 31*g wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*j + 45, -9 - 48 = 3*j - 3*s. Is 135018\/10 - j\/((-1020)\/48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8679906 by -6.\nAnswer: -1446651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 + 35 = 0. Let z = t - 23. Let v(y) = 9*y - 5. Let p be v(z). Solve 2*a - 4*i - 26 = 0, 5*a - 23 = 4*a + p*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {x: 2, j: 2, n: 2, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11170 - 4811676\nAnswer: -4822846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 238, 697, 1464, 2539, 3922?\n\"Answer: 154*u**2 - 3*u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-10)\/60 + 7.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, 5, -2, -43.\nAnswer: -43, -35, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*-1*sqrt(121) + (sqrt(121)*-2 - sqrt(121))*-2))\/(-4*(sqrt(704) + 2*((sqrt(704)*-2 - sqrt(704)) + sqrt(704)))*2).\nAnswer: -5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(4471\/(-1578))\/(-1 - (-3)\/6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 4\/7 (b) -1 (c) -0.11 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.72 and 0.482.\nAnswer: -6.13104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36215.\nAnswer: 5, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9, -3*z + d + 18 = 3*d. Suppose 41 = 5*l + 3*v, -3*v + z*v - 7 = -l. Calculate the highest common divisor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*w**2*z**2 - 13543*n*w**2 - 62*n*z - 2*n + w*z**2 + 2*z**2 - 5 wrt w.\nAnswer: -2*n*w*z**2 - 27086*n*w + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 4. Let x be o(-6). Let s(y) = -7*y + 3. Let p(c) = -13*c + 5. Let b(j) = -4*p(j) + 7*s(j). Determine b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s - 41 - 207 = 0. Let b(k) = 10*k - 3. Let h(i) = -7*i + 2. Calculate s*h(n) - 5*b(n).\nAnswer: 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 14856 - 14856.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 608 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -19003.\nAnswer: -5700.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -164, -1.6, -4, -4\/13, -1\/2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by 42?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139, 255, 371, 487, 603, 719?\n\"Answer: 116*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.172 + -9.101. What is the third biggest value in 0.4, 1.5, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24766*f**2*s**2*t**2 + 1070*f**2*s*t**2 + 40*f**2*t**2 - f*s*t**2 - 30*s**2 wrt s?\nAnswer: -49532*f**2*t**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 5)\/(2\/(-254)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490589081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 481145 - 5?\nAnswer: 481140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjjjpjjjpjj. Give prob of picking 2 j and 2 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 - -439)*(-4)\/30*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b + 19*b + 15*b = 3*v - 196, -2*b - 196 = 11*v for b.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (70\/56)\/((-1)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from gypgygggggyggmy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -40\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 101.75 (b) -0.039 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -15, 0*v = 5*p + 2*v. Let g = -71 - -73. What is the third derivative of -g*j**2 - p*j**2 + 0*j**3 + j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10646 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -73843 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**4 + r**3 + r**2. Let m(l) = -10*l**4 + 34*l**3 + 8*l**2 - 56*l - 16. Let f(s) = m(s) + 4*u(s). Suppose f(y) = 0. What is y?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 161.\nAnswer: -19\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/462267 and 10\/222573.\nAnswer: 6009471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 + 34*t - 213. Let m be k(6). What is the greatest common factor of m and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-2)\/(-4)*-1. Suppose -2*b + 5*p + m = 11, -b + 2*p - 3 = 0. Is 9 a factor of 10296\/91 + b\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 42025 = -149951. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-20))**(-1\/8) assuming j is positive.\nAnswer: j**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1.015.\nAnswer: -0.5075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 38100*c + 114282.\nAnswer: 2*(c - 19047)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4381 = 19*h + 4343 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 + -101. Does 43 divide 0 + r - (18\/6)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, 4\/11, -612?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:54 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (65 - 1) + -1 + 1. Let f(c) = -c**3 - c**2 + 4*c + 2. Let y be ((-1)\/(-2)*12)\/(-2). Let l be f(y). What is the greatest common divisor of d and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 7. Let c be u(-3). Suppose -2*b - 28 = 4*r, -4*b - 44 = c*r + 3*r. Does 9 divide b\/(((-8)\/26)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489477509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 8. Let o(b) = -1. Let x(i) = g(i) - 6*o(i). Let n be x(6). Suppose -180 = -n*y - 4*j, -3*y + j + 135 = -2*j. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/140*406\/174)\/((-8)\/(-156))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncdiniinidnndcd. Give prob of sequence dnc.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 6, -57.\nAnswer: -57, 6, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 1. Let k(t) = 28*t - 7 - 17*t - 9 + 11 + 0. Determine 6*k(y) + 34*p(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 990760215 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13752, -13753, -13754, -13755, -13756?\n\"Answer: -l - 13751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:52 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 20 = -d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 2. Let h(d) be the third derivative of d**4\/24 + 55*d**2. Determine h(g(y)).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*s + 215 + 79. Let i(y) = -y + 13. Determine i(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 26 - 22 = 0. Suppose -3*a = a - 8. Suppose a*h - 12 = -h. Solve -h*u = i - 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -33*z + 28. Let y be u(-15). Suppose y = 7*k - 149. Suppose 20*g + k = 24*g. Calculate the remainder when 46 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -589 + 583. Let q(b) = 4*b**3 + 5*b**2 - 3*b. Let g(f) = 3*f**3 + 4*f**2 - 2*f. Calculate l*g(i) + 4*q(i).\nAnswer: -2*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 8*d. Suppose -4*a = 6 + 18. Is k(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.63 * -0.06\nAnswer: -0.6978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 8}. Give prob of picking 2 y and 1 x.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 36 = -4*x - 5*d, 5*d = 5*x. Suppose p - x = -p. Solve 3*s - 4*s + 3*u + 2 = 0, 5*s - p*u + 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from sxumvxum.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.08 and 55.78972.\nAnswer: -60.2528976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181624 - 181629. Let n = 0.09 - 6.09. Let t = -4 - n. What is the biggest value in t, -0.11, -0.5, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2014516*j**6 + j**3 - 3*j**2 + 460*j + 17?\nAnswer: -241741920*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**3 - 2*y**2 - 12*y + 1. Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236160.7 minutes in milliseconds?\nAnswer: 14169642000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 13. Let u be (-249)\/t - 12\/16. Let f = u - 16. Solve -y - 6 = -f*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1802 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 582 (b) 0.03 (c) 0.3 (d) -1\/826\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12655 and 290?\nAnswer: -3669950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -38*v + 29*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -575552*a**6 + 2*a**3 - 552*a**2 - 301 wrt a?\nAnswer: -69066240*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 23235876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -7*w**6\/720 - w**5\/20 + w**4\/12 + w**3\/6 - w**2. Let i(o) be the first derivative of b(o). Factor i(n).\nAnswer: -(n + 2)*(7*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**7\/7 + 7*t**3\/3 + 5. What is the third derivative of k(v) wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53416*o**2 + 63320?\nAnswer: 106832*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/6 + 3*u**2 + u. Let y = 157 - 154. Let w be c(y). Solve 3*v + w - 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1242339950, -1242339951, -1242339952, -1242339953, -1242339954, -1242339955?\nAnswer: -1242339956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265 - 763 + 258)*(w + w + 0*w).\nAnswer: -480*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 115?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - 13*g**3\/3 + 45*g**2\/2 + 56*g + 116. What are the prime factors of j(-18)?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.8 - 20. Which is greater: 4\/9 or f?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 16*j - 15. Give f(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 33. Let b be t(7). Suppose b - 752 = -4*a. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 25506.\nAnswer: 280566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 2, -89, -5 in decreasing order.\nAnswer: 2, -5, -87, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22313210167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -4 + -3 - sqrt(77)\/(4*sqrt(7) + sqrt(7)))**2 + (4 + (sqrt(11) - sqrt(539)*1))**2 + 4.\nAnswer: -296*sqrt(11)\/5 + 11801\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 917874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*u - 3, 4*u - 3*u + 1 = 3*r. What is the lowest common multiple of 19 and r - 2\/4*-2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -184?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 846906 or -726?\nAnswer: -726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3342 = -5*g + 4528, f - 2622 = -g. List the prime factors of f.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 64752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 8863848?\nAnswer: 8863848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2819, -181, -2, -1 in decreasing order.\nAnswer: 2819, -1, -2, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2*u**2 - 26*u + 39. Let h be i(12). Let m = h + 90. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -39. Let h = -28.9 + g. Which is bigger: -1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217.3 + -217. What is the third biggest value in 1, -0.1, c, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/7 + 186*q\/7 - 3484\/7 = 0. Calculate q.\nAnswer: 26, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*a + 5, -5*a - 4*x + 6 = -10*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154.8 - 11.8. Let u = 1.32 + -1.42. Is x != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1552, 3101, 4650, 6199, 7748, 9297?\nAnswer: 10846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*36\/45. Find the second derivative of -287*m**2 - 7*m + 1 - 1 + 282*m**t wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 4, f: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**4 + 3*s**2 + 99*s wrt s?\nAnswer: 144*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 3. Let p = -68 + 164. Suppose -17*g - 7*g - p = 0. Determine o(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66846 - -8489502\/127. Is k greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -570 * 202.\nAnswer: -115140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/136195424 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 6*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 14753*q + 764*q - 95 as j*q + v and give j.\nAnswer: -13989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (12 + -7 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:27 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 8020155?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 6488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = v + 62, 18 = -3*d + 60*v - 63*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, 15, -4, 45, 3, 4 in decreasing order.\nAnswer: 45, 15, 4, 3, 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, -0.3, -79?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Suppose -a + 25 = s*a. Suppose -a*o = -68 - 77. Solve -3*w - o = -5*z, -z = -0*z + 5*w + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2100)\/((-105)\/(-7))*((-196)\/(-14))\/(-14).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1515265*s**4*t**3 + 21*s**2*t**3 - 19758948*s*t**3 wrt s.\nAnswer: 18183180*s**2*t**3 + 42*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1 + (-3 + 2 + 0)*(5 + 0 - 4))*(4*y - y - y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2.7, -2\/3, -151 in decreasing order.\nAnswer: 2.7, -1\/3, -2\/3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.348 + 3.348. What is the closest to -1 in g, 62, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -2\/9*k**3 - 193 - 15488\/3*k - 176\/3*k**2. Let n(r) = 0. Calculate r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -1\/14*a**4 + 0*a**2 - 4\/21*a**3 + 0*a + 4. Factor n(h).\nAnswer: -2*h**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/344 + 171\/344. Factor w - 1\/2 - k*w**2.\nAnswer: -(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:05 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 72 (c) -0.4 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 8 in ascending order.\nAnswer: -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Let y be ((-5)\/(-1))\/(1 - 0). Let n(f) = r - 3*f - 2*f - y. Let k(i) = 2*i. Determine k(n(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-3)*-34*(-8)\/(-884).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msmp when four letters picked without replacement from mpppmmmpsp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.77145285 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.277 - 1603.\nAnswer: -1603.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -98*p + 494. Let z be f(5). Solve n - 2 = 4*w + z, 0 = 4*n - 3*w + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4197, -59, -3 in increasing order.\nAnswer: -4197, -59, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344102 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 32 = 4*c, 3*c + 3*m = 2*c - 3. Suppose c*f = 4*d + 4*f - 284, -5*d + 2*f + 372 = 0. Let i = 50 + -24. What is the remainder when d is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78718 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*w - 2*w - 9, 17 = 3*v - 4*w. Suppose 2*t = 3*t - 5*c - 13, -3*t - v*c = -21. Suppose 2*i - 16 - t = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/8 - 9619*v**2\/8 - 84429*v\/2 - 419949\/2.\nAnswer: (v - 9654)*(v + 6)*(v + 29)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 491130*z**3 - 2890*z**2 - 8670*z + 2890. Let u(a) = -510*a**3 + 3*a**2 + 9*a - 3. Calculate 6*b(t) + 5780*u(t).\nAnswer: -1020*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 395*-224518\nAnswer: -88684610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.404437 years to centuries.\nAnswer: 0.02404437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(1\/5)*y*y))\/y*y*y**(-1)*y*y**(-9\/2)\/(((y*y*y\/y**(-1\/2))\/y*y)\/y) assuming y is positive.\nAnswer: y**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 6, 5, -14, -5, -2 in ascending order.\nAnswer: -14, -5, -2, 5, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 357054736?\nAnswer: -357054743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 61*i**2 - 166*i + 4. Determine y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -60, -58, -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -144 and 105 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/176)\/(9\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 789580, 789582, 789584, 789586?\nAnswer: 789588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071\/20 <= 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 12 + 44. Suppose 36 = 2*c - 4*o, o + 23 = c - 2*o. Suppose 2*l - 2*d = -3*l + 21, -d = -2*l + c. Solve l*h = -1 - f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -312. Suppose 0 = -a*w + 152*w + 12. Solve -l - 4 = -w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - 220 + 80 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1600, 1597, 1594?\n\"Answer: -3*d + 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143406 (base 8) in base 15?\nAnswer: 1181a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 5*f = -6*q - 50, 3*f + 72 = 4*q. What is the second derivative of -10*d - 60*d - q*d + 48*d**2 + 81*d**2 wrt d?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 1 + 23*n**3 + 15*n**2 + 3*n**3 - 25*n**3 to s*n**2 + a*n**3 + f + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 1476?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11*d = 6*d - 4, -1 = -w - 4*d. Solve -3*u - 5*q - w = 0, u - q = -4*u + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/24*-3*(-184)\/345?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 + 7*w + 8. List the prime factors of p(7).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 + s**2 - 2*s**2 - 3 + 3 + (2*s + 3*s - 6*s)*(3*s - s - s) + 5*s**2 - 2*s**2 + s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -693*m - 10472 - 10318 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1450, 1451, 1452?\n\"Answer: w + 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2788, 11082, 24898, 44230, 69072, 99418?\nAnswer: 135262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2. Suppose -2*w = -3*j + 329, -5*w + 4*w = j - 108. Suppose 0 = -5*m + 56 + j. Let s = m + -35. Give g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 968 + -946. Which is smaller: l or 23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.94 - 16.94. Let r = -1 + 1. What is the third biggest value in 2, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, p: 1, w: 1, d: 2, q: 2, z: 2}. Give prob of sequence qwdv.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*y + 1197*y**2 - 332*y - 1186*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c - 2. Let f be 84\/(-15) + c\/5. Let y(a) = -a + 4. What are the prime factors of y(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/100 - (-5346)\/(-220)) + 3\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -776 in descending order.\nAnswer: -1, -4, -776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 2915 = -25*q + 5*j, -3*j - 11728 = -4*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 1, j: 2, n: 2, p: 1}. What is prob of sequence zj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 2*w**2 - 2*w + 1. Let l(o) = -10*o**3 + 8*o**2 - 9*o + 3. Calculate -9*d(i) + 2*l(i).\nAnswer: -2*i**3 - 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86655, 86514, 86277, 85944, 85515, 84990?\n\"Answer: -48*u**2 + 3*u + 86700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + -34?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -139*h**3 + 85*h**2 - 4*h - 2. Let t(i) = -417*i**3 + 256*i**2 - 14*i - 7. Let k(u) = 7*g(u) - 2*t(u). Find the third derivative of k(r) wrt r.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 72?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 18. Let y be u(9). Solve y = -5*i - 0*i + 2*c + 6, 0 = -2*i - c - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 - (3 + 0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6160 and 2503200?\nAnswer: 27535200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 6*w - 40177 + 40231, -2*l + l - w + 2*w = -9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -s + 5, 4*f = 3*s - 0*f - 8. Suppose 3*d - 1004 + 12 = -o, o + s*d = 987. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4876*c - 22. Let k be h(-5). Suppose -k = -31*g + 12*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*d - 138*d + 4717500 = 0. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-3)\/9*-3. Let r = 5 + m. Suppose -2*k = -2*p, 2 = -3*k + 8. Solve p = j - r*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 15*p - 43, -2*p + 65997*u - 65994*u - 35 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2857807 + 2?\nAnswer: 2857809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 187. Is (-1)\/2 + (271875\/p)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 - 25.65. What is b rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124584 (base 12) in base 14?\nAnswer: 7a884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, f: 1, m: 1, k: 1, q: 5}. Give prob of sequence fmq.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5746 by 442.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 4778*r**2 - 4778*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 1\/4 (b) -2\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7017 + 98331\/14. Calculate the common denominator of v and ((-8)\/(-12)*33)\/((-200)\/(-90)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3\/5 - 22*p**2 + 80*p + 200.\nAnswer: 2*(p - 10)**2*(3*p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd604c - 2d?\nAnswer: -dd607b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-70))\/(16\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 6*c + 2. Let g be y(6). Suppose 4*x = g*l - 34, -5*x + 26 - 1 = 5*l. Calculate the smallest common multiple of 22*1*4\/8 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*c**2 + 21*c**2 - 75*c**2 - 135*c + 193*c + 595*c wrt c.\nAnswer: -370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 1) + 52 + -48?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2193498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((3*(sqrt(2816) - sqrt(2816)*-2 - sqrt(2816)))**2 - ((sqrt(2816) + 0)*1)**2))*2.\nAnswer: 197118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6580 and 4008865.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/7, 2, 1\/8, -52, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197752436 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 656?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -295\/11. Let t = -1531\/8 + 191. What is the nearest to -2\/5 in n, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 653b1707 - -3?\nAnswer: 653b170a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 16*q + 14 = 13*q, -v - 5*q = 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.123 - -0.1346. Let r = -0.07 + t. Round r to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -2\/9 (b) -2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 + 5*q + 8. Suppose -8*y = -3*y - 120. Suppose 0 = -w - 3*w - y. Calculate the least common multiple of 14 and x(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 10*m - 1. Let d = 3 - 12. What are the prime factors of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*k = -38, -2*k + 17 - 31 = -4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q - 145 = 2*k, -4*k = -q - 7. Let o be (24 - -10)*(-3)\/2. Let x = q - o. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(360)*3 - sqrt(360))\/sqrt(8)*-2)**2.\nAnswer: -72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -6 + (3 - 9 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/31 (b) 3\/4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let r(q) = -2*q**4 + 6*q**2 - 7*q + 6. Let g(z) = -z**2 + z - 1. Let m(u) = d*r(u) + 6*g(u). What is the second derivative of m(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 59 = -35*c - 40. Let j(g) = 3*g**2 - 4 - 2*g**2 + 3 - 2*g. What is j(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.256 + 0.863. Let r = -2996.1 + 2995. Let t = r + z. Round t to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 10. Suppose r*c = 3*c + 2*u - 7, -c + u + 1 = 0. Let v(o) = -o**2 - 5*o - 3. Let i be v(-5). Put c, 2, i in increasing order.\nAnswer: i, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426777803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -14*d**4 + 263*d**3\/3 + 44*d**2 - 15*d + 1291. What is k in y(k) = 0?\nAnswer: -3\/7, 1\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1691 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/6)\/(-11)*9. What are the prime factors of (-794)\/s*(-141)\/(-94)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596, -683, -758, -815, -848, -851, -818, -743?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*j**4*u**2 - 3*j**4 + 365*j*u**2 wrt j.\nAnswer: 192*j**2*u**2 - 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -201367*d**4 - 6*d*f + 1110*f + 2502 wrt d.\nAnswer: -805468*d**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 824*n + 667488. What is g(-503)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 565294 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (549\/(-9394))\/(9\/(-33)). Which is smaller: u or -459?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -376, -968, -1558, -2146, -2732, -3316?\n\"Answer: d**2 - 595*d + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3\/300*-42) + -7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857*l**2 - 3600439 + 3600439 + 867*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + q - 29, -r + 2 = -2*q + 5. Suppose -6*b + 12 = -0*b. Suppose -z = 4*j - 2, 5*z - 10 = -0*z - b*j. Sort z, r, -5 in descending order.\nAnswer: r, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227\/(-227)*(-32)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1275 or 1287?\nAnswer: 1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 62. Calculate u(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m. Let w(v) = -80 - 14*v + 80. Give u(w(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 61*k**3 - 6*k**2 + 3*k + 6. Let n(i) = 122*i**3 - 11*i**2 + 6*i + 11. Give -11*b(r) + 6*n(r).\nAnswer: 61*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/10*y**3 + 49\/5*y - 32\/5 - 7\/2*y**2 = 0 for y.\nAnswer: 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17363.638 + 17378. Let u = k + -14.4. Let m = -0.012 + u. What is the biggest value in -0.2, 2\/11, -3, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) -0.2 (b) 0.3 (c) 2\/21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/(-399))\/(10\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25964*u - 3626*u = -23705 - 1875025 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165366707*w**5 + 31577*w**2 - 1764 wrt w.\nAnswer: 9922002420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 3*f + 47)*(-2*f + 2*f**2 + 2*f**2 - 6*f**2)*(3 - f**2 - 3).\nAnswer: -6*f**5 - 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3935 or -542861\/138?\nAnswer: -3935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-20)*k*k\/k**(-16))\/(((k\/(k\/(k*k**1*k)))\/k)\/(k*k**(1\/8))))**(1\/3) assuming k is positive.\nAnswer: k**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = 3*h + 190 - 6120, -25 = -5*h. What is the highest common divisor of 5850 and n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/15))**32)**(-3\/13) assuming f is positive.\nAnswer: f**(-32\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.049 in 3, 1\/8, -0.26, -3.27, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.04857823 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2. Let m(u) = -4523*u**2. What is m(s(g))?\nAnswer: -4523*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00426 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 59 - -22 - (-7 - -2) - 3) + -122?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664459488 and 1494.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16 + -16 + 61\/45 and -11 - ((-1)\/5 + 21853\/(-1950)).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6810 - 2095 = 0. Let x = 1694 - h. List the prime factors of x.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/(-3)) + -2. Let k be 3\/(2 + y) - -3. Let a be -2 + k + (8 - 3). Solve 3*g = a - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/430 and -27\/130?\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + (14 + (-16 - 18) - -33)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20)*-5)\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14989930 rounded to the nearest 100000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1636427l to millilitres.\nAnswer: 163.6427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418965153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 18*v**2 - 4*v + 4. Let u(j) = -9*j**2 + 2*j - 2. Determine -3*n(c) - 7*u(c).\nAnswer: 9*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 62 = 5*d, 3*d - 1677 = 15*h - 1647 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7967114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3120 and 1\/61386.\nAnswer: 2455440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391085950 is divided by 2586.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 374.00000382 + -374. Round y to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((3\/(-6))\/((-49)\/(-14)) + 104\/91)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*f - 55, -3*f - 4*t + t = 45. Let x = 14 + f. Suppose -x*z + 2*g + 12 = -2*z, -4*z + 31 = 3*g. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:54 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -65203.28?\nAnswer: -65194.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((5 - 2) + 16 + -27 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 2, p: 1, k: 2, c: 1}. What is prob of picking 2 h, 1 p, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h - 74*h - 141 - 16*h**2 + 141.\nAnswer: -16*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 318 - 316 + 2664*s + 6265*s + (2*s - s + 0*s)*(0 + 2*s**2 + 0) to h*s**2 + a*s**3 + d*s + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1 + 4*j + 2*j - 4*j + 0 - j + 0 + 0*j + 4*j - 3*j + 0*j - 5*j + 3*j + (0 - 2*j + 0)*(-4 + 0 + 2) + 5*j - 4*j + 0*j)*(j**2 - 600*j + 600*j - 79).\nAnswer: 6*j**3 - 474*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*n + 108 - 602 = 994 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 1560 + 18*h**2 - h - 1560.\nAnswer: 18*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/3 + 81*t**4 - 14144*t**3\/3 - 74900*t**2\/3 - 40672*t - 61504\/3 = 0. Calculate t.\nAnswer: -2, -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3494567218 - -3494567212.109998461. Let p = z - -5.89. Round p to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -12. Suppose 0 = d*m - 2*z - 20, -z - 17 = -2*m + 1. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7857973.2492182 less than 0.1?\nAnswer: -7857973.1492182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 25*j - 26*j, -3*c + 9 = 3*j. Solve w + 10 - 6 = c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 7*h**4\/4 - 55*h**3\/12 + 49*h**2\/12 - 17*h\/12 + 1\/6 = 0.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + 0.04. Which is the closest to y? (a) 5 (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 74*s - 72 - 64 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(16\/((-32)\/(-4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.356 - -73.756. Let q = m - 65. Let t = q - 8. Which is the smallest value? (a) 0.1 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18274, -18275, -18276?\nAnswer: -18277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3087) - sqrt(3087))*4 + 3*2*sqrt(3087))\/(-3*((sqrt(72) + 1*sqrt(72))\/sqrt(8) + sqrt(108)\/(1*sqrt(12)))).\nAnswer: 14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 + 0)*(1 + 1 - 9)*(-2*g + 2*g - 2*g**4).\nAnswer: 98*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16595 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - b - 4)*(-5*b + 24 - 24).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1968 divided by 3734.\nAnswer: 984\/1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(320) - (-3*(sqrt(320) + 1 + sqrt(320)))**2) + -5 - (6*(2 + sqrt(320) + sqrt(320) + 0 - sqrt(320)*-2*-3))**2.\nAnswer: -207527 + 4048*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 11. Suppose k = 2*l + 2. Solve 0 = 2*h, l*c + 0*h + h - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -439\/994 + 397\/497. Calculate the common denominator of c and ((-6)\/(-395))\/(8\/(-210)).\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 23*r. Let u(i) = 4*i. Let q(l) = 6*a(l) - 34*u(l). What is the units digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpmi when four letters picked without replacement from lllrmlldllmplidm.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -51997.\nAnswer: -51994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 235476*v**2 - 3464734848*v + 24264683632.\nAnswer: -4*(v - 7)*(v + 29438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2470 - 8322 = -319*c + 35*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, b: 2, g: 7, s: 5}. What is prob of sequence ks?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.827? (a) 0.05 (b) -3 (c) -1468\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 325ba8 (base 14) to base 5\nAnswer: 414100303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 351168, -2, -3, 0.2 in descending order.\nAnswer: 351168, 0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1486 - -2318?\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h + 72. Let v be y(12). Suppose 3*a + v*n - 6 = -n, -2*a + n + 9 = 0. What is the least common multiple of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*p + 3665 = 9564 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -555*t + 958.\nAnswer: -555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 + -367 - (17 + 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -0.89. Let s = u - -0.85. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2 + 47. Let t(l) be the third derivative of -l**5\/60 - l**2. Give t(o(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -224 (base 11) to base 16\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6680, -6678, -6674, -6668, -6660, -6650?\n\"Answer: m**2 - m - 6680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 - 603 = -5*d. Suppose 5*a + d = 883. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-152835)\/12512 - (-8)\/136)?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 times 1?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + 5.95. Let k = -1 + j. Let y = k + -6. What is the second smallest value in -4, 2\/13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d - 1475 + 131 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -57. Is 21 a factor of ((-216)\/96)\/(f\/168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-9)\/24)\/(9\/(-12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 2, t: 2}. What is prob of sequence iit?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782779335?\nAnswer: 3, 5, 13, 661, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12413 (base 5) in base 14?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4283\/(-299810))\/((-6)\/20).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -108. Suppose 2*c + 4*f = -12, -2*c - f - 2 = f. Calculate the smallest common multiple of c and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46725746\/137 - 341062. Let m = 21103\/822 - w. Find the common denominator of (-706)\/112 - (-33)\/88 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.781 - 22.781. Let m = 11 + -10.5. What is the biggest value in m, o, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(55\/18))\/((-1731)\/57123)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/32 - 2\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/4 - 4*l**3 + 9*l**2\/2 - 23*l - 21. Let g be h(10). Let x = -91 - g. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 130*s + 44. Calculate y(21).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + q + (-4 - 2 + 5)*(4*q - 2*q - q) + 2*q - 2*q - 2*q)*(-1 - 3 - 7)*(-28 + 12*q + 28) + 2*q**2 - q + q + q - q + 2*q**2.\nAnswer: 268*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2341, 0.1, -2\/3 in descending order.\nAnswer: 0.1, -2\/3, -4, -2341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, 136, -67, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25061053 and 552?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 110 = -8*x. Calculate the lowest common multiple of x and (6 - -4) + 1\/(-2)*0.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*j. Suppose -2 = -4*b + 2*y, -3*y + 7*y = -3*b - 26. What are the prime factors of 8 - (b + -1 + j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p + 160. Let k be h(-16). Suppose 2*t = t, -3*g + 6 = 4*t. Suppose k*c - g = -c. Solve c*z = -z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-72)\/(-32))\/(-3 - (-1299)\/432) is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-399)\/(-21) - 25)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -429, -430, -431, -432?\n\"Answer: -b - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/3? (a) 5 (b) -5 (c) 0 (d) 0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 20*a**2 + 20*a - 12. What is the remainder when 89 is divided by r(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3300 (base 5) to base 7\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 154. Let f = 282 + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0*o**2 - 22\/3*o + 2\/3*o**5 + 4*o**4 - 4 + 20\/3*o**3 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c + 3*k - 124, -2*k = c - 119. Calculate the remainder when c is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10373309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623797100*y**4 + 422077701*y - 2?\nAnswer: -7485565200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48964*n**3 - 35608338*n**2 - 919286*n**3 + 529847 - 4414934 - 8847*n**4 - 27*n**5 - 23417451*n.\nAnswer: -3*(n + 109)**3*(3*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63638 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**3\/6 + 3*i**2\/2 + i. Let r be -1 + 8 + (-11 - 0) + 8. Give k(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2939\/16104 + -1\/1464. Let b be (1 + 2)\/(-2 + 1). What is the second biggest value in i, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 1069, 1494, 1897, 2278, 2637?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 16\/(-5))*10\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 + u**2 + 6*u + 428. List the prime factors of n(0).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 e when three letters picked without replacement from {e: 1, c: 1, r: 1, t: 1, x: 2, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -496223 (base 14) to base 8\nAnswer: -11456007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -28.7. Let d = n + -4.3. Which is the nearest to -2? (a) -5 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*r + 8200, 3*r = -3*t + 3093 + 1824. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -1\/10, -3 in increasing order.\nAnswer: -3, -0.6, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 2 + 38 = 0. Solve -4*z - 2*t + 14 = 0, -4*z + t + 1 = -r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/60 + 5*w**4\/8 + 5*w**3\/3 - 2*w**2. Let n be i(-14). Let g be (n - -6)\/(4\/6). Solve 2*x = -g*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 - 1909*c**3 + 9150*c + 54899769?\nAnswer: -8*c**3 - 5727*c**2 + 9150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -5*n + 17, 3*n - 12 = 2*z. Let l be (-20)\/(-90) - 25\/z. Solve -2*q - 2*q**2 - 2\/3 - 2\/3*q**l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 459 - 462 + 927 as r*a + d and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 6*g**2 - g**2 + 6*g**2 + 0*g**2 - 3*g**2 + 5*g**2 + 0*g**2 - 3*g**2 + 3*g**2 - 6*g**2 + 4*g**2 + (2*g**2 + 2*g - 2*g)*(4 + 1 - 3).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g + 1. Let l(f) = 7*f**2 - 4*f - 7. Let a(c) = -l(c) - 6*o(c). Let p be a(-1). Solve 3*v = -p*v + j - 20, 0 = 4*v - 4*j + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 2*f**5 - 4*f**4 + f**4)*((0 + 1 - 3)*(-6 + 1 + 3) - 13 + 15 + 9)*(1 - 5 + 6) + 0*f**5 - 2*f**5 - 3*f**5.\nAnswer: -65*f**5 - 90*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 60 + 3\/5*g**2 + 12*g = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180566219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 3. Suppose 4*s = m - 25. Calculate the common denominator of 1 - 18\/s*11 and 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/884*(5\/15)\/((-21)\/18)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/193 less than or equal to 2\/4149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/6 - 10*h**3\/3 - 24*h**2 + 198*h. Suppose w(o) = 0. What is o?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308067439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 11703*n - 11708*n + 10, 3*n - 3 = 3*s for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/7 or -0.084?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2498*x**3 - 2500*x**3 - 5*x - 1824*x**2 + 7*x)*(0*x + x - 3*x) in the form g*x**3 + y*x + m*x**4 + d + v*x**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2959, 2404, 1475, 178, -1481, -3496?\n\"Answer: a**3 - 193*a**2 + 17*a + 3134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1961*t*v**2 - 20*t - 24*v wrt v?\nAnswer: -3922*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.45 - 102.55. Let y = -105.5 - o. Let k = -4.8 - -0.8. What is the second biggest value in 3\/7, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 17*j**2 + 76*j + 3. Give o(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0424? (a) -5 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40032?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -j. Let s(l) = 4*l + 1. Calculate the remainder when (74\/8)\/(1\/4) is divided by s(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from kkukruujurukujrkckku?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 59*f - 292. Let x be o(5). Put x, -5, 40, 1\/4, 2 in descending order.\nAnswer: 40, x, 2, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -56, -80, -114, -158?\n\"Answer: -5*t**2 + t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) 5.7 (b) -1\/150 (c) -4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -214330?\nAnswer: -214335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 92.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -f - 10, 0 = z - 349*f + 353*f + 55 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r - 3. Let j be ((-13)\/5 + 1)*25\/(-10). Solve 5 = j*h + r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + -0.21. What is the nearest to -1\/7 in -3, s, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 528\/2090*5\/(-2). Let q = 54\/95 - z. Factor 6*a + 18\/5 - 6\/5*a**3 + q*a**2.\nAnswer: -6*(a - 3)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1099 - 1064. Is 275\/8 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 7*x + 1372. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05217606119 rounded to 4 decimal places?\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 35*a + 1383 - 8*a**2 - 54*a**2 - 1383.\nAnswer: -62*a**2 - 33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.368 - -26.97. Round s to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*sqrt(1700)*-1 + 2 + 1*(sqrt(51)\/sqrt(3)*3 - (sqrt(1700) + -1)))**2*3.\nAnswer: 1584*sqrt(17) + 55731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r + 1 + 5*r**2 + 4 - r**3 + 2*r**2 - 7. Let n be o(8). Let j be (n\/(-9))\/1*-33. What is the highest common factor of 66 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 5. Let y = l - -6.19. Let s = y + 0.11. Which is the closest to s? (a) 2 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.43, 1\/3, -4\/7?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let f be (4\/(-6))\/((-12)\/162). Let d be i(f). Let c be (2\/d)\/((-3)\/(-6)). What is the nearest to -0.1 in -3, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rftttttffftftfttt. Give prob of sequence ftf.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + 6. Suppose -3 = -g*n + 7. Solve -16 - 4 = -n*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.3 + -8. Suppose 0 = -253*a + 5543 - 2760. What is the nearest to a in -0.1, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 0 + 3 = 5*w, -3*f - 3*w = 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v + 8. Let m = -4783 - -4789. Let r(j) = -1. What is m*r(c) + u(c)?\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26*l + 3943. Determine a(-158).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -1.2\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1984, 15859, 53476, 126691, 247360, 427339?\nAnswer: 678484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23261366 from 3607.15.\nAnswer: 23264973.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21620602649.99998851 - -21620601833. Let r = 817 + s. Round r to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.28 - -5.27. What is the second biggest value in 0.3, -1.5, 2, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6\/h)\/(h*h**(-2\/17)))\/(h**(-1))**14)\/(h\/(h\/(h\/(h*(h**0\/h)\/h*h*h))*h)*h\/((h\/h**(2\/11))\/h)*h*h)**(2\/59) assuming h is positive.\nAnswer: h**(199076\/11033)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 16. Solve 0 = -z + 3*s - 7, 2*z + 4 + 1 = x*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71714 and 0.45?\nAnswer: 71714.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 + 253. Solve 4*t = -4*g + 6*t + 10, h*g = 2*t + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.52 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*115)\/(35410\/7082)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {w: 3, p: 2, b: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*q + 20. Let m be ((-17)\/4)\/(1\/q). Is 1 - 2 - (m - 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u - 169 - 1053 = 0. Let m(q) = -q**2 + 9*q - 7. Let c be m(5). List the prime factors of 4\/u - (-899)\/c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(3 + 29\/(-2)). Let z = -16 + y. Let u = -91 - -168. Calculate the greatest common factor of z and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2*v - 7 + (-6 + 3 + 4)*(2*v + v - 2*v) + 225 - 28*v - 225 to g*v + w and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 35*r - 127. Let f be k(31). List the prime factors of 5\/f + 1 + 36322\/78.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u + 19. Calculate s(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 3 = 0. Suppose l = -w*l + 20. Suppose 4*h - 4*j = 7*h - 17, -3*j = l*h - 21. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(2 - 4\/3). Let w(h) = h**2 - 2. Let g be w(-6). Suppose -u + 7 = -d - 3, y*u = 5*d + g. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 3142?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 10:37 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/18 + (-10)\/(30\/(-51731))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(0 + (4 + (sqrt(162) + 1 - sqrt(162)) + (sqrt(162) - (1*(sqrt(162) + 1))**2))*3).\nAnswer: 135*sqrt(2) + 2367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38775 and -0.03.\nAnswer: -38775.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 6*b**4 - 9*b**3 - 1669*b**5 + 1672*b**5 + 6*b - 3*b**4.\nAnswer: 3*b*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (-2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22813481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:32 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let k be 14\/5 + (-2)\/(-10). Suppose k*w + q*w = 27. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 11) in base 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + s**4 + 5 + 2*s + 3*s**3 to the form o*s + p*s**4 + j*s**2 + m*s**3 + l and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2056*q**3 + 2057*q**3 + 19 + 2057*q**3 + 2054*q**3 - 10269*q**3 + 2044*q**3.\nAnswer: -q**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3005, 6045, 9099, 12173, 15273, 18405?\n\"Answer: t**3 + t**2 + 3030*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2. Let u(c) = -c**2 + 12*c - 2. What is u(k(f))?\nAnswer: -36*f**4 + 72*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272803 is divided by 113623?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/7 and 17\/125153.\nAnswer: 125153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7104342 and 222.\nAnswer: 262860654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + 2\/6. Suppose 5*s - 3*i = -d*i - 12, 4*s - 2*i = -8. Let z = 17 + -14. Put s, -2, z in ascending order.\nAnswer: -2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.134 <= -21.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2. Let u(s) = -5*s**3 + 3*s**2 + 5*s - 4. Let i(c) = 6*h(c) - u(c). Determine i(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + -18 + -16 + 8).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -j + 10, -4 = 2*b + j. Let f be 4 + (-1 - -1) + b. Suppose -f - 2 = 4*m. Sort 4, m, 2 in increasing order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 + 5*q**2 - q + 2 - 2*q**3 + 3*q - q. Let y be x(-5). Is 370\/2 - (y - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/7*(-28)\/8. Sort 2, -63, i in descending order.\nAnswer: i, 2, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/(30\/2220) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19. Suppose m = 2*b - 3*r + 6, 2*r + 2*r - 16 = 0. What is the common denominator of -25\/52 and 22\/10 - (b - 7)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s - 2*q - 3, -5*q = 4*s - 3. Suppose 17*v = 26 - 9. Calculate the smallest common multiple of v and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 654.506\nAnswer: -6.54506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83865 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 27*v - 12 + 10 + (2*v + 2*v - 3*v)*(0 + 1 + 2).\nAnswer: 30*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 16 = -3*i + 5*t, 2*t - 18 = -3*i. What is the smallest common multiple of 8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 5 + 1 + 2 + 2. Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(216\/(-30)))\/(625\/19875)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2790018 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-9*8)\/9. Solve -11 + h = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85.95 - -88.95. Which is the fifth biggest value? (a) -0.03 (b) s (c) -2\/11 (d) 6 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324924?\nAnswer: 2, 3, 27077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 1\/10, -2\/5, 0.17, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1360404 divided by -10971\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:11 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-210)\/(-112) - (-2)\/16. Suppose -p = -k*p + 3*p. Suppose p = -84*w + 80*w + 36. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/14*(-4)\/(-6). Let q be (12\/(-3))\/(d\/(-1)). Which is the third biggest value? (a) -0.5 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -10*s + 2092. Let h = s - -413. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2625, 21401, 72467, 171969, 336053?\n\"Answer: 2691*a**3 - a**2 - 58*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*u - 36, -32*q + 31*q - 68*u = 411 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*(1 + 3\/(-6)). Suppose 0 = -z*m - 3 - 1. Is (674\/4)\/(m\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**3 + 19*m**2 - 180*m + 106. Let w(a) = 48*a**3 + 132*a**2 - 1260*a + 741. Let k(q) = -15*g(q) + 2*w(q). Find x such that k(x) = 0.\nAnswer: -6, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q. Let d be k(2). Let n be d\/8 + (-27)\/(-12). Suppose 4*g + 30 = n*p, p + 4*g = -2*p - 5. Solve j + 9 = 5*a, 4*a + p*j = 3 + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 2)*4\/5. Let i be 10\/(-15)*(-6)\/4. Sort -3, i, u.\nAnswer: u, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 7 - (128 - 141)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -11, -13, -15?\n\"Answer: -2*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684, 881, 1210, 1671, 2264, 2989, 3846?\nAnswer: 4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = y + 5*u, -8*u + 625 = 5*y - 3*u. Let t be 6\/(-13)*(-14)\/y. Is -1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -378 - -417. What is the highest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -127, -223, -335, -469, -631?\n\"Answer: -s**3 + s**2 - 82*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15483758 and -1.\nAnswer: 15483758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let h = 91.1 - 96. Let q = f - h. Which is the second smallest value? (a) 0.2 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*l. Let i be (-1)\/l*(-3 + 5). Sort i, 3, -1\/2.\nAnswer: i, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - c - 29, -5*m - 4*c = -0*c - 31. Suppose -11 = 3*y - 86. What is the remainder when y is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 28875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -996438?\nAnswer: -996444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 46 + 15 + 65*k + 10.\nAnswer: 65*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 - -83. Let p = -19 - b. Suppose p - 99 = -2*v. Find the common denominator of v and -19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11556343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/6 - 2*o**2 - 2110. Let k(i) = 1610*i**2. Determine k(m(c)).\nAnswer: 25760*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 19 = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -775*a**2 + 1054*a + 2 wrt a.\nAnswer: -1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3019504*l**3*s**3 + 3*l**3*s**2 - 244*l**3*s + 15*l**3 + 18*s**2 wrt s.\nAnswer: -18117024*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81048962 divided by 2383793.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -20. Solve -5 - 1 = -m*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 2*v - 3. Let q(h) = 31*h**2 - 6*h + 15. Determine -5*p(d) - q(d).\nAnswer: -26*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t - 52*t = 3*b - 14, 0 = -3*b - 5*t + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 + -779871118\nAnswer: -779871117.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 9869*w - 9868*w + 2358925, -2*w = 8. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 + 7568*c\/5 + 30288\/5 = 0 for c.\nAnswer: -4, 7572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/213, -674, 0.2?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g - 6 = -65*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64.2 + -102.7. Let a = k - -167. What is the third smallest value in a, -4, -3\/5, -8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -t - 7, -r = -98895*t + 98892*t + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129103 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 195313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -129\/8. Suppose 10 = -5*y, -6*q + 4*q - 16 = 4*y. Let n = 2 + -1. Which is the closest to 0.1? (a) q (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 5) + (-410)\/(-41) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*464\/(-754)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1322, -1331, -1354, -1397, -1466?\n\"Answer: -v**3 - v**2 + v - 1321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12586, 218, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, 2, -0.14, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/14)\/((-2)\/(-14)). Let c = -3 - u. Suppose -5*a + 373 = -4*w, c*w - 119 = -2*a + 44. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(891) - sqrt(891))**2 + -3 - sqrt(110)\/(-3*sqrt(1210)).\nAnswer: sqrt(11)\/33 + 3561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*m + 99, -2*m + 162 = 10*n. Sort -25, n, -7 in ascending order.\nAnswer: -25, -7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8283*b + 674*b**3 - 8277*b + 16561*b - 1 - b**2 in the form c*b**2 + o*b**3 + w + r*b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 1, 0.5, 1\/6.\nAnswer: -57, 1\/6, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*d - 118. Let o be 2 + 16\/4 - (2 - -1). Suppose -5*j = -3*r + 6*r + 24, -3*j = r + 12. Put o, r, d in decreasing order.\nAnswer: o, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240200352 (base 6) to base 9.\nAnswer: 8410465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13066 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - l**2 - 2*l - 2. Let y(s) = -57*s**3 - 4425*s**2 + 1964*s - 232. Let o(i) = 6*f(i) - y(i). Factor o(n).\nAnswer: (n + 55)*(9*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 12. Suppose -5*z = -12 - p. What is the remainder when (-12 - -1)\/(1 + -2) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8754989 and -6?\nAnswer: 8754995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*l + 20, 5*l = 4*p - 7 + 33 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*d + 49 - 49 + 201*d.\nAnswer: -369*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 534\/(-1691)*(-741)\/(-1716)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 2. Let y = -7 + 8. Let v be j(y). Solve 3*k + 18 = -5*m, -5*m + k - v = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4352 = -11*p - 6*p. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 248\/7. Let f = 0.35 - 4.35. Let q = -2 + 3. Put f, q, h in ascending order.\nAnswer: f, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 846506 and -0.1.\nAnswer: 846505.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1644 - 0.2.\nAnswer: -1644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 40. Suppose -6*r - a = -10*r. What are the prime factors of r + (-8)\/(-1) + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3)*-2)**2 - ((sqrt(21)\/sqrt(7))**2 + 5)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430, -1706, -3830, -6802, -10622, -15290?\nAnswer: -20806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 308\/17 + (-100)\/850. Solve -3*g - 4*v - 5 = 0, -w = -g + 5*v + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 2. Suppose 0*n + 17 = n - 5*p, 0 = -5*p - 10. Let s be i(n). Solve 0 = -0*u + 4*u + s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = 5*j. Let r = 1 - j. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**3*s**4 + 103*b**3 + 58*s**4 wrt s?\nAnswer: -28*b**3*s**3 + 232*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 32 = 4*c, 14*t = 19*t + 4*c - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0871 - 0.0153. Let h = 0.158 + -0.08. Let r = b - h. What is r rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 9228702*l**2 - 10646122189950*l + 10646112961250.\nAnswer: -2*(l - 2307175)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1910 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*t - 45*t = 3393. Calculate the remainder when 954 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + x + 16575 = 0, -3*y = 2*x - 6967 - 5489. What is the remainder when y is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 133*b**3 - 3*b**2 + 134*b**3 + 2*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - i + 162.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28. Is -47 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -3. Let x = -11\/40 - -27\/40. Let o = 136 + -956\/7. Which is the nearest to -0.1? (a) o (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3175 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + d - 3. Let f = 181 - 177. Let n(x) = 5*x**3 + 4. Determine f*c(q) + 3*n(q).\nAnswer: -q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1090.5 - 1091. What is the nearest to -9 in 0.2, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282419747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-760 + 514 + 416 + 669)*(-5*q - q + 3*q)*(1 - 1 - 2*q**4).\nAnswer: 5034*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3830, 30874, 104270, 247190, 482806, 834290?\nAnswer: 1324814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*f = 73228, -8*u + 5*u + 54951 = -3*f. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131768 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a. Let n(c) = 83332*c + 2. Give n(v(f)).\nAnswer: -499992*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, 497, -3, 23.\nAnswer: -4, -3, 20, 23, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2048 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {f: 13, t: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.003 - 102. Let v = m + -0.003. Let l = 0.073 - -0.027. Sort -4\/5, -4, v, l.\nAnswer: -4, -4\/5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from hhhxhhhh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (14739 - 3650 + 17096 + 911 + 1449 + 5151)*(-3*a**4 + a**4 + a**4) in the form r*a**2 + l + v*a + z*a**4 + d*a**3 and give z.\nAnswer: -35696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4287\/4*i**2 - 6126123\/8*i - 3\/8*i**3 + 0 = 0.\nAnswer: -1429, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005688 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/28)\/(1\/(-8)). Suppose -5*r + 10 + t = 0. Suppose -2*y - 17 + 5 = -a, -4*y - r = -a. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 362289355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 + -0.04. Let x = -5.99 + 6. Let g = x + -0.21. Which is the third smallest value? (a) g (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + 1*sqrt(637) + sqrt(637)))**2.\nAnswer: 56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*q = -17*q + 66*q - 187*q - 27692 for q.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 698*j**6 + j**2 + 30?\nAnswer: 83760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 9. Let r be k(3). Find the third derivative of -20*g**2 - 19*g**r + g**6 - 3*g**6 - 10*g**2 wrt g.\nAnswer: -2520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let x = 11.444 - 11.144. Put x, -4\/9, g, 0 in ascending order.\nAnswer: g, -4\/9, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = f. What is the greatest common divisor of 77 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 10:40 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -625, -1244, -2237, -3730, -5849, -8720?\nAnswer: -12469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*p - 23, 2*p = -4*c - 171 + 185 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11) + -1*(sqrt(11) + sqrt(33)\/sqrt(3)).\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 6 - 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 4*u**3 - 5*u**3 + (2*u**2 + 3*u**2 - 3*u**2)*(u + 2*u - 2*u) - 51*u**3 + 75*u**3 - 161*u**3 - 2*u**3 + u**3 - u**3.\nAnswer: -136*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -15140, -0.1, -5, 0.4, 0.1, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3276.431 and 10.\nAnswer: 32764.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44256647\/576 - 307337\/4. Let v be 61\/(-192) + 1\/3. Let o = n + v. Which is the biggest value? (a) o (b) 1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1694 and -20\/6173?\nAnswer: 10457062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5675, -5933, -6183, -6419, -6635, -6825, -6983, -7103?\n\"Answer: q**3 - 2*q**2 - 259*q - 5415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1430 - 1654 = 415*w - 1009. What is the nearest to 0.1 in 65, 3, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1372\/3 + -457. Factor -2\/3 + r*b**4 - b**2 - 1\/3*b**3 + 5\/3*b.\nAnswer: (b - 1)**3*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (4 + 2 + -2 + -4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1, 1, 2.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*v**2*y**2 + 518828*v**2*y - 983*y**2 - 59680 wrt v?\nAnswer: 94*v*y**2 + 1037656*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -14. Is 62 + (0 - l)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1640992 and -0.2?\nAnswer: 1640991.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -155. Calculate the common denominator of ((-3)\/(-10))\/(6\/238) and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 123?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 13.3.\nAnswer: -18.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - 1.5. Let n be 1\/5*(-53 + 52). Sort n, 2, -4\/3, i in descending order.\nAnswer: 2, n, -4\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 11*q - 11*q + (2*q**2 - 2*q**2 - q**2)*(-2 + 1 - 1 + (0 + 1 + 1)*(-1 - 1 + 1) + 4 + 0 - 2) + (q + 3*q - 3*q)*(-1 + 2*q + 1).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 5*o + 4*o + o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = 34*y. Let c be ((-404)\/42)\/((11\/18)\/11). Let o = c - -345\/2. Is o at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4051088209?\nAnswer: 7, 1033, 560239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -101. Is m bigger than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -841508018 or -841508017?\nAnswer: -841508018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1\/8) - -1. Let c = i + 7. Let q(k) = -223 + 232 - 5*k + 6*k. What is q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 5*c**4\/4 + 5*c**3\/6 - 5*c**2\/2 + 16*c. Let p be g(2). Let k be 78\/p - 2\/(1 + 1). Does k = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/46)\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.5, 5, 21, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 500683537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Differentiate -10 + 2 + a*n + n wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 - 7 = 0. Let y be (a*(-2)\/(-20))\/(28\/20). Sort -0.1, 1\/6, y in decreasing order.\nAnswer: y, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.001539210024051 and 0.08.\nAnswer: 0.078460789975949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 21 - s**3 - 15 + 5*s**2 + 13*s**2 - 21 + 10*s. Does 15 divide h(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 4. Let k = -1\/1247 + -2487\/8729. What is the closest to 0.1 in k, w, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 5*j + 3*j + (0*j - j + 2*j)*(-3 + 4 - 2) + 5*j + j + 6*j)*(2*j**2 + 4*j**2 - 4*j**2).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(162))*-6 + -5 + -4 - (3 + -3 + -1*sqrt(2)*-6 + 1).\nAnswer: -60*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 76461?\nAnswer: 764610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623462.9mm in centimeters?\nAnswer: 62346.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 132. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 1074 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.031 + 0.821. What is the closest to 0.2 in 0.1, f, 2, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 13. Let g be 14\/(-10) + p\/10. Sort -5, g, -3 in increasing order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3238, -1, 48528 in descending order.\nAnswer: 48528, -1, -3238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 4*m + 279 + 2*m + 33 + 0*m in the form y + t*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668012809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -111765721 at most -111765720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 + 3*o**5 + 2*o**5 + (-4*o**4 + 5*o**4 + o**4)*(-4*o - o + 3*o) + o**5 - 4*o**2 + 4*o**2.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 + -0.06. Let x = 1.94 + r. Which is the second smallest value? (a) x (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in -5, -5.6, 1\/9, -0.3, -1\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8\/12 - (-755)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 37\/2. Suppose 0 = 2*w - 3*w - 2. Which is the closest to w? (a) p (b) 3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 46 + 11 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/21)*r**(-8)*r*(r**(-1)\/r)**(-2\/3) assuming r is positive.\nAnswer: r**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + -11 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3074, -2, -229, -14 in descending order.\nAnswer: -2, -14, -229, -3074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 9*b**2 + b + 1. Let m be c(6). Calculate the remainder when 8\/(-48) + m\/6 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let l be ((-4)\/6)\/((-2)\/(-6)). Let k be 0\/(0 + -1 - l). Let s(j) = 5*j - j - 3*j + k*j. Give s(q(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493354 is divided by 488824.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/1495 + (-2)\/(-13).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6374021876 rounded to the nearest one hundred thousand?\nAnswer: 6374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.58 - -4.88. Let y = -5 - -4.9. Which is the closest to y? (a) m (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = g, -14*b + 13*b = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 21*p = 50556. Suppose 3*i = -z + 19922, -z + 24111 - p = -5*i. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - a**2 - 1 + 1 - 8*a**2 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 102 + 312 = 0. Suppose 118 = 3*f + 5*q, -2*f - 5*q = -57 - d. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 344\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:56 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8640574*i**3 + 5*i**2 + 8*i + 32201 wrt i.\nAnswer: -51843444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -5)\/(1\/2). Suppose 19 = g*p - 5. Let z(a) = -a**3 + 6*a**2 + a + 5. What is the tens digit of z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2 - 6)*-2. Suppose 8 + f = 3*r. Let o be ((-2)\/r)\/((-20)\/(-6)). Which is the third biggest value? (a) o (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 18*v**2 + 28*v**2 + 6*v - 4. List the prime factors of l(4).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 3. Let z be d(-5). Suppose 5238 = 188*v + 538. What is the remainder when v is divided by 2\/(28\/z - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 8*k - 5835. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -26*z**2 - 2*z - 2. Let s be u(-1). Let m be (-3 + s\/(-10))*-5. What is the tens digit of m\/(-12) + 798\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 - 16*o + 3*o**2 + 19*o + 59*o + 15*o in the form r*o**2 + c*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -4, -5.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.1 - 11. Let y be -5 - -3 - (1 - 3). Let t be y + (2 - 0) - 2. Which is the closest to g? (a) -1\/2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2 - 0) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -13250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10243 is divided by 219?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*y - 45 - 30, 0 = 4*v + 5*y + 56. Let o(x) = 8*x - 50. Let i be o(9). Let c = i + v. Solve -d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 15*s + 1448 = 0. Let c = 366 - s. What is the remainder when 49 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzwtzzzwzzzzzw. What is prob of picking 1 z and 2 w?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4535, 9023, 13523, 18041, 22583?\nAnswer: 27155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*s - 967*s - 27 = -5*p, -2*s + p = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g - 1. Suppose 137*p - 135*p + 4*t - 24 = 0, -3*p - 2*t + 32 = 0. What is the remainder when b(5) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -281, 3, 4.\nAnswer: -281, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 r, and 1 g when four letters picked without replacement from hjgvkrk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4200))\/((sqrt(108)\/sqrt(4))\/sqrt(9))*2)\/(-2*(((sqrt(567)*-1 - sqrt(567)) + sqrt(567))*5 + sqrt(567) + sqrt(567)*-2*1)).\nAnswer: -10*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 46*z + 37. Let q(n) = -2*n**2 - 84*n + 78. Let i(h) = 5*j(h) - 3*q(h). Determine i(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**3*y**3 + 27*u**3*y**2 - 10*u**3 + 41*u**2*y**2 + 104941220*y**3 - 1267*y**2 wrt y.\nAnswer: 12*u**3 + 629647320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94226, 188136, 282046?\n\"Answer: 93910*l + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:09 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:52 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -31. Suppose 2*p + 2*y = 12910, -5*y - 12 = -m*y. Let i = -3959 + p. What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 9*c + 38. Give x(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + sqrt(117) - ((sqrt(52)*2)**2 - (sqrt(13)*-1 + 3)).\nAnswer: -200 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 z when four letters picked without replacement from kkkkkzzkknzzzknk?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101298 + 112174 = 56*r. Is 97 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2200, 4393, 6584, 8773, 10960, 13145, 15328?\nAnswer: 17509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 0. Let j be (s + 3)*9\/(-6). Suppose j*k - 7 = 2. Solve -2*r + 5 = -k*r + a, -a + 1 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 15043*m - 226291849.\nAnswer: -(m + 30086)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*w + 24 = 0, -4*p - w + 3*w + 6 = 0. Suppose n = 4*z - 16, -p*z - 2*z + n + 19 = 0. Calculate the least common multiple of 10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70263972?\nAnswer: 2, 3, 67, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 146001 (base 7) to base 15\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, 0.4, -29, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -27122 bigger than -12520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let z(r) = 14*r - 445 - 43*r + 445. Determine z(c(i)).\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n, 3*b - 3*n + 11 - 26 = 0. Let a(u) = -2*u**2 - 7. Let d(m) = -4*m**2 - 13. What is b*d(z) - 11*a(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -940 - -944. Solve 8*z + 36 = -p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14820?\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*r + 5 + 0 + 192*r to the form t + z*r and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1293?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 - 14*c + 20. Let u(a) = -11*a**2 - 21*a + 30. Let m(y) = 8*s(y) - 5*u(y). Let o be m(-8). Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 p when four letters picked without replacement from {i: 2, y: 6, p: 5, x: 5, q: 1}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.36 - 4.54. Let l = 0.023 - -22.977. Let a = b + l. Round a to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**2 - 5*i + 12. Let c(z) = -6*z**2 - 4*z + 11. Suppose -t = 3*t + 24. Let j be 1*(8 + 0 + -3). Let n(r) = j*m(r) + t*c(r). Determine n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27111, -54335, -81559?\nAnswer: -108783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19039 + -7192. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 5*c - 4. What is n(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 211799395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1850*o**2. Let d(y) = -12*y + 1771. Determine d(v(q)).\nAnswer: 22200*q**2 + 1771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/6 - 115*g**2\/6 + 105*g - 156 = 0.\nAnswer: -13, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13677407 or -13677413?\nAnswer: -13677407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 28048.\nAnswer: 3\/28048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 14*c**2 + c - 3. Suppose -288 = -6*o + 14*o. Let h = 26 + o. Is d(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-24570)*-20)\/(6\/(-27)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2208 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 266 and 1.74.\nAnswer: 267.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.13 (b) 4\/7 (c) 2 (d) -0.3 (e) -71\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14835 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from {w: 1, v: 1, u: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5 + n**4 - 149827*n**3 - 11*n**2 - 23147 wrt n.\nAnswer: -60*n**2 + 24*n - 898962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 79 - (-20 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = q + 3*r + 4, -4*r - 16 = 4*q. Let n = -1111 + 1106. Let o be (-648)\/(-180) - n\/((-50)\/6). Put o, 0, q in increasing order.\nAnswer: q, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 116066080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 145. What is the remainder when u is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-21) + (-6)\/21. Which is greater: r or -16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4565682979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:13 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 7:59 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44108.21 litres to millilitres.\nAnswer: 44108210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + -6 - (-13 - -5)) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n**2 + 2. Let p(q) = -2157363*q + 7 - 51*q**2 + 2157363*q. Calculate 14*h(d) - 4*p(d).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*1 + 3)**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = -3*u - 2*x, -2 = -3*u - 4*x. Let i(n) = -2*n + 4. Let f be i(4). What are the prime factors of 9\/u*(f + -58)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -25) + -8 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 2136?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-34 - (10 + 1 + -13)) + 0 + -6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-47 - -32 - 8) - (0 + 13) - 51?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268\/2847 - 5\/73. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119925022 > 119925021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -721606*b - 733522?\nAnswer: -721606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4078.82 days?\nAnswer: 352410048000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -7*t + 14*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-33)\/4)\/(60\/(-560))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27377 - -27?\nAnswer: 273a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = m + m + 33, -9 = -4*m - 5*s. Let b be 1 + 1 + m\/2. Suppose r + 0*r - 7 = b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 447 = 4*y. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1215887 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4)\/t**0)\/(t**(-7\/3)\/t**7))**(8\/5))**(22\/9) assuming t is positive.\nAnswer: t**(2816\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 1}. Give prob of sequence fd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60616?\nAnswer: 2, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 8*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.4 + 6. Let u = -1062 - -1190. Let x = 129 - u. What is the nearest to x in 0, h, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4*u - 174*r**2*u - 119*r*u + 2 wrt r?\nAnswer: 24*r**2*u - 348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u - 5*v + 34, 4*u - v - 46 = 0. Let q = u + -9. Let m(a) = -4*a + 2. Determine m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let j be x(-5). Suppose 0*a = -2*w + 3*a - 1, j*a + 8 = 5*w. Suppose -71 = -w*i + s, -5*i + s = -13 - 75. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8659.\nAnswer: 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + 4*p**2 + 2*p + 4. Let u be l(-3). Let s = u + -143. Calculate the highest common factor of 533 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -283*d**2 - 258. Give h(0).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 2)*15\/(-9). What is the smallest common multiple of 1\/(u\/(-87 + 2)) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 232*k - 610. List the prime factors of j(91).\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 0*p - 4*p)*(2 + 639*p**3 - 297*p**3 - 324*p**3) in the form o*p**4 + c*p**2 + u*p + t*p**3 + g and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:02 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 - (-49853 + 14)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 23. Let s(i) = -3*i**2 - i + 1. Let p(r) be the first derivative of 1\/2*r**2 + 2\/3*r**3 - r - 1. Determine n*p(o) + 5*s(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -6.5 and -12702 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*b*i**3 + 12*b*i*o - 2*b*o**2 + b*o - 16*b - 865*i**4 - i**2*o**2 + 4*i*o**2 + o wrt i.\nAnswer: -510*b*i - 10380*i**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 5, t: 1, p: 2, z: 1}. Give prob of picking 1 r, 1 p, and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 3002516.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 495*k**5 + 300*k**4 - 2660*k**3 + 2470*k**2 - 635*k + 30 = 0?\nAnswer: -3, 2\/33, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6055)\/(-714) - 9) + 1\/6. Put g, -3, -1\/2, 1 in descending order.\nAnswer: 1, g, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26398289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1956850062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5160 + 44328 = 18*u. Is 32 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1415 (base 6) to base 12\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 95*u = -96*u - 19, 2*y + 3*u = -18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to -6442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from {g: 4, i: 10, o: 1, p: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p - 17*p + 46*p)*(2*p**2 + 0*p**2 - 3*p**2)*(17*p - 34*p + 75*p).\nAnswer: -464*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8 + -3 - (-4 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -19*x + 18*x. Let r be ((x + 12)*-1)\/(-2). Calculate the highest common divisor of r and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 - -511. Let b(l) = -23*l + 88. Let c be b(10). Let z = c + v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 3, 66, 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 26 + 2*t**2 + 9 - 28 + 10*t.\nAnswer: -8*t**2 + 10*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65240 and 119000?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llaffrarffvlaafaa. Give prob of sequence al.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 - (-7 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -375.103 times 2\nAnswer: -750.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 - 1289*i - 5180. Let l be a(-4). Factor 0 + l*y**2 - 96*y + 3\/2*y**4 - 51\/2*y**3.\nAnswer: 3*y*(y - 8)**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3*o**2\/2 + 7*o + 4. What is the derivative of b(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5440 is divided by 5396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -80.99.\nAnswer: 7.2891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m**2 + 5. Let n(p) = 9*p**2 - 4. Let k(x) = 4*f(x) + 5*n(x). Let b(s) = -10*s. Give k(b(i)).\nAnswer: 500*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/279, -2\/3, -0.3, -4, -1 in ascending order.\nAnswer: -4, -1, -2\/3, -0.3, 1\/279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:31 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -53008241 divided by 13\nAnswer: -4077557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/6011?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574742 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {b: 2, l: 3, h: 7, z: 3}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 105*i**2 - 3*i + 1. Let w(f) = 9*f**3 - 213*f**2 - 7*f + 2. Determine 5*s(q) - 2*w(q).\nAnswer: 2*q**3 - 99*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -3.3. Let f = -9 - -6. What is the third smallest value in f, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 34 = l. Let w = l - -47. Let r(j) = j**3 + 6*j**2 - 6*j + 9. Determine r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.1. Let j = -0.5 - v. Let k = 0.45 + 0.05. Put 5, k, j in decreasing order.\nAnswer: 5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n - 1. Let x(k) = -8*k**5 + 6*k**3 - 14*k - 6. Let l(m) = 6*j(m) - x(m). Find the second derivative of l(y) wrt y.\nAnswer: 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**17*f\/(f**13\/f))\/((f*f*f**(-10\/13)*f*f)\/f**(-2\/31)) assuming f is positive.\nAnswer: f**(-12209\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -45. Let v(b) = b**3 - 10*b**2 + b + 6. Let u be v(g). Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:55 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 78608\/11 + 204\/11*i**2 + 6936\/11*i + 2\/11*i**3 = 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -12.488?\nAnswer: -62.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 17 + 19. Let u = -1585\/3 - -329671\/624. Let b = u + 35\/208. Are b and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (200\/(-60))\/(4\/6). Let v be 3*(-12)\/(-2) + 10\/c. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -3*p**2\/2 - 3*p + 59. What is y(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15504480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.008, -1\/4, -8, -1, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-30)*(48\/6 + -2). Solve b = f, 3*r + 3*f + 3 = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n\/n**(12\/5)*n)\/n))\/n**(2\/5)*(n*n\/(n\/n**(2\/39)))\/n**(16\/11) assuming n is positive.\nAnswer: n**(256\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1568 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13120 + 21?\nAnswer: -13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -486*m**2 - 288*m - 128\/3.\nAnswer: -2*(27*m + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**1*s*s)\/s)**(4\/15)\/(s**(2\/7)*s**18))**10 assuming s is positive.\nAnswer: s**(-3784\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/5)\/((-4)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/3*-4*222\/592?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 8*q + 3. Let z be m(-9). Let r = -2 + z. What is the tens digit of 70\/28*56\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8748621 and 63?\nAnswer: 8748621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptnzttztntnpnz. Give prob of picking 2 z and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8144?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6541104 - -51?\nAnswer: -6541023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -7*f**2 + 1\/12*f**5 + 1\/30*f**6 + 0*f**3 + 0*f + 0*f**4 + 0. What is the third derivative of p(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22711050 divided by 100938?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n)*(3*n**2 + 3 - n**2 - 4) - 12*n**3 - 235 + 235.\nAnswer: -16*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, s: 1, j: 3, x: 3, f: 1}. What is prob of sequence xi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000125741 to 6 decimal places.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2 = -5*t. Let f(j) = 3*j - 2. Let c be f(7). Let q be c\/15 + 4\/(-6). Do t and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3375256279 - -810\nAnswer: -3375255469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8*52\/(-26)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m + 52. Let w(t) = t**3 - 2*t**2 - 8*t + 8. Let y be w(-2). Give v(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**30*(p**7)**33 assuming p is positive.\nAnswer: p**291","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:54 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2106 or 2094?\nAnswer: 2106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 463212977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -54?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353*q**4 - 169*q wrt q.\nAnswer: -4236*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 - 195592*j**2 - 586804*j - 391208 = 0.\nAnswer: -2, -1, 48901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23596024 divided by -4?\nAnswer: 5899006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.75. Which is the second biggest value? (a) o (b) -2\/7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -51. Solve -3*n + 6 = -o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 2. Let l be i(1). Suppose 3*q - 9 = 3. Suppose -2*x - q*g = -l*x - 10, 20 = 4*x + 4*g. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -15, 0 = -5*a + 4*p - 7*p - 34 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 2\/38 + 162877\/1273?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 89 = 5*y, 33 + 44 = 5*y + q. Suppose y - 9 = d. Suppose 2*s + 72 = 6*s - 5*g, -4*g + 16 = 0. What is the lowest common multiple of d and s?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31887 - -31889. Let y(f) be the second derivative of 0 - 1\/6*f**3 + 1\/36*f**4 + f + 1\/3*f**v. Find s such that y(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201246.2 rounded to the nearest 100?\nAnswer: 201200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4307 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/5104?\nAnswer: 7\/5104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2. Let x(t) be the third derivative of 1\/12*t**4 + 0*t**3 + 0*t + 3*t**2 + 0. Calculate x(l(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -18954935151?\nAnswer: 18954935151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*m + 9, 0*m = -5*v - m + 87. Let x = v - 14. Solve b + 4*n = 14, 0 = x*b - 6*b + 3*n - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37357006*n**3*t**2 + 5*n**3*t - n**3 - 8179*n**2*t + 6*n**2 - 2*t wrt t?\nAnswer: 74714012*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174752 divided by -174752.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 296340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 13. Let v be ((168\/9)\/14)\/((-42)\/(-9)). Put -0.4, -0.3, v, m in increasing order.\nAnswer: -0.4, -0.3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 1, y: 1}. What is prob of sequence xc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3973 + 3978. What is the closest to -0.2 in -115, v, -1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 3, -5 in increasing order.\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*u - 2589 - 94*u + 5175 - 2587.\nAnswer: -336*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 11. Let n be ((-1)\/(-2))\/(3\/(-18)) + m. Solve s = -s - n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21527207 greater than -21527207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58054 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*g**2*q**2 - 2*g - 85*q**2 wrt g.\nAnswer: -70*g*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 4*v**7\/7 + 71*v**4\/4 + v**3\/3 - 205*v + 1213. Find the third derivative of x(k) wrt k.\nAnswer: 480*k**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 44*m**2 - 355*m + 13945. Determine i(45).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o + 4*a = -91*o - 10, 3*o = 2*a - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-496)*320\/240\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, l: 1, z: 6, t: 1, y: 5, h: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 0. Suppose -10 - k = -6*b. Are 7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 16068 = -9442. Let m = 28010\/11 - h. Calculate the common denominator of -89\/2 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199121 and 1105?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 4, f: 3}. What is prob of sequence fnan?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60425, 60607, 60789, 60971, 61153, 61335?\n\"Answer: 182*a + 60243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -363, -365, -367, -369, -371?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + 11. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 536? (a) -13.961 (b) -5 (c) 2\/13 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 74\/4 - (-2)\/4. Let s be g\/(-7) + (-2)\/7. Suppose 0 = -28*w + 30*w - v + 8, -4*v = 2*w - 12. Put w, s, 1 in ascending order.\nAnswer: s, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28925 divided by 65?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14366*l - 14484*l - l**3 + 28850*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2 - n**3 + 0*n + 0*n**2 + 0*n**4 - 2\/3*n**6 + 0*n**5. Find the third derivative of t(m) wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:07 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - 60. Let x be 2\/10 - (0 + (-36)\/w). Is -0.02 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225801, 225806, 225811, 225816, 225821, 225826?\nAnswer: 225831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + v + 0 = -8, -3*v + 14 = 4*a. What is the third derivative of 16*n**6 + 2*n**a - 23*n**2 + 38*n**2 wrt n?\nAnswer: 1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -85. Let f be ((-60)\/(-8) - 2)\/((-3)\/w). Suppose -f*p + 18*p = 84. Calculate the remainder when 19 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6261821 times 14\nAnswer: 87665494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492 divided by -10?\nAnswer: -1746\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36988 + 36988 - 78*t.\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 at most 1050\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smbbsmlllsblvmbm. What is prob of sequence ssb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-35) + (-512)\/56?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12656 + 0.79915. Round f to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - (75 - 12)) + 6 + 1 + -1.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357 + -159. Suppose -172 = -11*v + 26. What is the greatest common factor of v and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -67. Let d be 5 + p + 3\/(-6)*2. Solve 9*w - 4*w - d = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 - -11?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105018 - 19626 = 6*p. Suppose -p = -4*o + w, -17*w + 13*w = 4*o - 14212. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6158070921 to the power of 1\/2, to the nearest integer?\nAnswer: 78473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12*j. Let n(p) = -p**2 + 4*p. Determine n(u(l)).\nAnswer: -144*l**2 - 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31680 and 30.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.2? (a) -7 (b) 0.4 (c) -0.5 (d) 4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Let b(n) = -n**3 + 4*n**2 - 2*n. Calculate the lowest common multiple of 7 and b(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, 1\/309, 5, -18?\nAnswer: 1\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 5*a + 138. Let u = a - 39. Suppose 4*n - u*n = -18. Solve 12 = -9*g + n*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 2*b**2 + 3*b + 4. Let i be n(3). Suppose -13 = -i*q + 5*q. Round q to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - (27 + -35 - 8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1015 - 752 = 23*p + 64, 0 = 5*j - 4*p - 335 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 3*a**2 - 4*a - 5. Let s be w(-4). Put 2, 5, s, 4 in descending order.\nAnswer: 5, 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - 120?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211872 or -211799?\nAnswer: -211872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-36219)\/(-36219)*(4\/(-346))\/1\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v. Let d be (-4)\/9 + 18\/81. Which is the nearest to v? (a) 4 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4249?\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4617 is divided by 219.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91) + ((sqrt(91)*-1 - sqrt(91))*-3 - sqrt(91)) - sqrt(91))\/(6*sqrt(14)\/sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*h + 9 = r, -3*h = -5*r - 17. Let t = r - -27. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1553\/4, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 32710*v - 6464760.\nAnswer: -5*(v + 204)*(v + 6338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*t**2 - 728*t**2 + 41*t**2.\nAnswer: -1159*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -4)*6\/15. Which is the closest to 1? (a) 1 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**4\/24 - s**3\/3 - 2*s**2. Let p be o(-2). Solve -2*d + 5*x + 20 = 5, p = 4*d - 2*x + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -217456540.2 to the nearest 1000000.\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -69*k - 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 27. Let r(m) = -6*m + 5*m - 20 + 6. Let c(v) = -2*g(v) + 5*r(v). Let w be c(-12). Let f(a) = a**3 + 4*a**2 - a - 5. Give f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 5. Let q be w(5). Let x(d) = 16*d**2 - 3*d - 6. Let u be x(6). Suppose -2*g - 5*f = 540, 3*g - g + 2*f + u = q. Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 119\/28 + 1\/(-4). Let c be (7 - 165\/25)\/(s\/30). Sort -0.5, -0.14, 0, c.\nAnswer: -0.5, -0.14, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 4) + (13 - (-3120)\/8). Let h = q + -391. Solve -2*v + 3 = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 68 in descending order.\nAnswer: 68, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 53\/106*4\/6*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 39. Let l be ((-2400)\/36)\/(s\/(-1977)). What is l rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 3, -5, 1, 4 in descending order.\nAnswer: 9, 5, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c + 31*c**2 - 7*c**2 - c - 48*c**3 + 2*c**5 - 6*c**4 - 46*c**3 + 90*c**3.\nAnswer: 2*c*(c - 2)**2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.06, -2\/25 in descending order.\nAnswer: 2, 0.06, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 94. Suppose -15 = -g*z + 42*z. Suppose 0 = z*k - 2*n - 3*n - 755, 0 = -2*k - n + 290. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38840 and 208765.\nAnswer: 1670120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/7 - 36*q**2 + 224*q.\nAnswer: 4*q*(q - 56)*(q - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let i = 0.62 + 1.38. What is the closest to 0.1 in v, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257 - -55?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 6\/5, 16, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 2, e: 2, n: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -60, -58, -56, -54, -52?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-11)\/(-44)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g + r + 4, 5*g + 4*r = 30. Are g and 50\/91 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + d**3 - 4*d**3)*(2 - 2 - d**2) + 48*d**3 + 39*d**5 - 48*d**3 + (-7 + 7 - 3*d**4)*(-2*d + 4*d - 3*d).\nAnswer: 43*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 920 - 919.5. What is the smallest value in -9, i, -0.6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 498843 divided by -6\nAnswer: -166281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 22, 35, 52?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39d267 (base 14) in base 16?\nAnswer: -1e726b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) -2 (b) -4 (c) 7 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 32 + 72*k + 12 - 11 to m + u*k and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*m - 202 = 0, 3*k - 4*m - 139 = -0*m. Let w = k + 19. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) + (sqrt(640) + sqrt(640)*4)*1)\/(1*(sqrt(605) - sqrt(605)*-4 - sqrt(5))).\nAnswer: 8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 55 + 5 = 0. Let z(l) = -2*l - 3. Let g be z(3). Let j(r) = -3*r**2. Let u(y) = -2*y**2. Give g*u(c) + o*j(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)*(3\/2 + -1). Let y(v) be the first derivative of -3 - 1\/8*v**4 - 1\/4*v**2 + a*v - 1\/3*v**3. Factor y(c).\nAnswer: -c*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -3, 1\/28, -15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 277, 266, 249, 226?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*q - 220, 901 - 117 = -4*c - 4*q. Suppose 5*n - 6*n + 296 = 4*f, 0 = 4*n + 5*f - 1140. Let s = c + n. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 12 = -9*x. Let t be 6\/9 - ((-944)\/6)\/x. Let q(b) = 0 + 37*b**2 + 0 - t*b**2. Let r(f) = -9*f**2. Give r(q(k)).\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8595*u + 8486*u + 8530*u - 34531*u + 8606*u.\nAnswer: -314*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737112779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282527252 to the nearest integer?\nAnswer: 16809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117 + 182 + 139 + 126)*(q + 3*q - 3*q) to a + w*q and give w.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 46\/(-115)) + 1*(-2)\/5. Is w > 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/9 - 8*r\/3 + 7.\nAnswer: (r - 21)*(r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3971 + 3987. Solve -4*x + x + j + y = 0, 0 = x + 5*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2, 2*k + 2*q = 4 + 6. Suppose -k*r + 2541 = -2*b + 5*b, 2*r + 5*b = 1267. Suppose 3*h - r - 225 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose -4*m + g = v - 13, 4*m = -4*v. Let p = -3 - v. Which is the biggest value? (a) p (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 5\/4, 288, 2 in increasing order.\nAnswer: -4, -1, 5\/4, 2, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 - (-76)\/6. Suppose -4*i = 3*h - 164, 5*h = -5*i + 222 - c. Calculate the remainder when i is divided by -1 + 3 + (-11 - -22).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6825*i**3 - 234 + 234.\nAnswer: -6825*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42362161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20357653 is divided by 292?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37267, 298017, 1005655, 2383591, 4655235?\nAnswer: 8043997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-2\/15))\/(k*k**6*k))\/(((k*k*k**(-1)*k)\/k)\/k)**(26\/3) assuming k is positive.\nAnswer: k**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513.1 rounded to the nearest 10?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/12 + v**3\/3 + 3*v**2\/2 - v. Let t = 2 - -2. Let l = t + 0. Calculate n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z. Let y(n) = 9*n. Let w(p) = 7*t(p) + 6*y(p). Let c(s) be the first derivative of -s**3 + 1. Calculate c(w(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*d**2*m + 6115*d**2 + d*m - 441*d - 2*m + 664 wrt d?\nAnswer: 50*m + 12230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/22 - (609\/6)\/(-7). Let k be 90\/i + 42\/(-3) + 3. Let u(y) = 3*y + 7. Determine u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 - 7*j - 11. Give d(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 21*z - 1095 = -825 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {h: 1, b: 1, v: 1, t: 1, q: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 h when three letters picked without replacement from alhlllalhhml?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075814889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 31810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1678, -2, -8, 0, 3 in descending order.\nAnswer: 3, 0, -2, -8, -1678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115042 and 406798.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 55 - ((-2)\/3)\/((-2)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11552040 - -24?\nAnswer: 11552104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 45438 = -3*q, 4 = -5*q - 11. Suppose 0 = 2*o - 14257 - i. Round o to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0 + 0)*((1 - 1 + 1)*(-7 + 21 - 230) + 5 + 1 - 4 + (-1 + 0 + 2)*(0 - 2 + 0) + 4 - 2 - 1 + 0 + 2 - 4 - 1 - 3 + 3).\nAnswer: -654*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 52\/5, 0.5, -4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose 3*j + r*j - 309000 = 0. Round j to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + 0 + 3 + sqrt(17) + sqrt(17) + 2 + sqrt(17) + -1)**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hwifhscc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101373024?\nAnswer: 2, 3, 1055969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -14 + -7 + 1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 49 + 80 = 143 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -68. Put 2, x, -2, -5 in decreasing order.\nAnswer: 2, -2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -113*y - 1244. Calculate m(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3866 + 6254. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1921998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 67*d - 32. Let c(x) = -36*x + 16. Determine 11*c(i) + 6*j(i).\nAnswer: 6*i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(104) + (sqrt(104) - 1*sqrt(104))) + (2*sqrt(104)*-2 - sqrt(104)))*-4)\/((sqrt(216)*2)\/(1*sqrt(300))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 14 - (156 - 152)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -21*k**5 + 489*k**4 - 4023*k**3 + 13731*k**2 - 16836*k + 3780 = 0.\nAnswer: 2\/7, 2, 5, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1661608, 6646435, 14954480, 26585743?\nAnswer: 41540224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -39. Solve -2*t = 4*s + 22, -3*t = -t - g*s - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1\/4 (b) 7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*w - 15 = 0, -4*f = 3*w + 2*w - 23. Let i(g) = 1 - g + 2 - g**f - 4 + 3*g. What is i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111061527\/920 + 120719. What is the common denominator of -43\/805 and v?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 779154 and 224502.\nAnswer: 13245618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63, -5 in descending order.\nAnswer: 63, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + d = 103, -20*d = 1554*i - 1550*i - 160 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847752 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2901\/3868*(-60)\/27.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -182. Suppose -3*q + 98 = -268. What is the remainder when q is divided by h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221012120 (base 5) in base 16?\nAnswer: e8eb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 102 + 42 = 0. Let o(p) = -17*p**3 - p**2 - p - 1. Suppose n - 3*n - 2 = 0. What is the smallest common multiple of o(n) and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/12 + (-22)\/6. What is the second biggest value in 3, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5014598 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*15\/(-210)*6\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:04 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170789701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1770.8654 to the nearest 10.\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5278781250*q**4 + 226988004750*q**3 + 475072639492*q**2 - 36989656*q + 720 = 0?\nAnswer: -2, 2\/51375, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euon when four letters picked without replacement from ueeoanennwo?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4883*o - 21 + 21 - 23814*o.\nAnswer: -18931*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-1)\/15)\/(9\/(-27))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -159 + (-5 - 0). Let r = z - -176. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 - 42*z**4\/5 + 39*z**3\/5 - 12*z**2\/5 = 0?\nAnswer: 0, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**4*n - 2*g**3*n**3 - 2754*n**3 wrt g.\nAnswer: -4*g**3*n - 6*g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 5 + 5)*(4*d**4 - 2*d**4 + 0*d**4) - 10*d**5 + 85*d**4 - 85*d**4.\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(128)*1 + sqrt(128).\nAnswer: 3 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45022386 to the nearest integer?\nAnswer: 6710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*h = -14 + 4, f - 2*h = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 3*w. Suppose -3*c = 4 + 2. Let q be o(c). Let j be 0\/2 - (1 + -4). Solve 5 = -j*x + q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/35 - -43\/140. Let v = 39.78 - 39.48. What is the fourth smallest value in c, -2\/23, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22861 = -648*u + 5651 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 606070.93208 - 606274.4. Let q = x - -210.468. Let u = q + -7. What is u rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5 times 543?\nAnswer: 14932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0366 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + 51496\/(-287) - -89?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Solve -4*n - 23 = -0*n + c*x, -4*n - 33 = 5*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(18)\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455269 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 11*y**2 - 10*y + 7. Let r be h(-10). Let l = r - -18. Calculate the highest common factor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let x(b) = 2*b**2 - 3. Give 3*r(i) - x(i).\nAnswer: i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20363 = -d - v, 2*v - v + 101821 = 5*d. Let h = d + 9636. Round h to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214907 is divided by 16526?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 3*r + 7. Determine m(13).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 554.13 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000082434 rounded to seven dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, u: 1, v: 2, g: 1, b: 1, d: 1}. What is prob of picking 1 g and 1 z?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -9 + -6 - 8) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 2. Let o be j(1). Let p(i) = -1. Let z(h) = 4*h**3 - 5. Let w(u) = o*z(u) - 6*p(u). Determine w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-70)*(-61)\/(5490\/(-432))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/((-163170)\/(-600))*(-3)\/(-6)*-7?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1056124868?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 2. Let d = -61 - -60. Let c(l) = 4*l - 2 + 1 - 5*l. Determine d*r(s) + 2*c(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from zszeseeezeepeseesese?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 + -0.7. Which is the nearest to -0.1? (a) j (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*h*o*w**2 + 2*h*o*w + 4*h*o + 491*h*w**2 + 19*h*w - h - 367*o*w**2 + 137*o + 2*w - 5 wrt w.\nAnswer: 44*h*o + 982*h - 734*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00371747 rounded to five decimal places?\nAnswer: 0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 1406. Let n be j(0). Let h be -2 - 16\/(-9) - n\/171. Solve 0 = 5*x + 2*l - h, 3*x + 5*l - 19 - 1 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41069, -41072, -41085, -41114, -41165?\n\"Answer: -l**3 + l**2 + l - 41070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9004 - 8477. What is the greatest common factor of 68 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -176, -177, -178?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x - 8 - 2*x**2 - 3 + 6 - x**3 + 0. Let s be h(-4). Solve 12 = -5*y - k, y + 3*y + 14 = -s*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/179 or -1?\nAnswer: 12\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -23*b**7\/42 - 5*b**3\/2 + 7*b. What is the second derivative of z(k) wrt k?\nAnswer: -460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5 + 42*p**4 + 292*p**3 + 644*p**2 - 294*p - 686 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -37 + 7. Let h(q) = -q**3 + 5*q**2 - 4*q - 1. Let c be h(i). Solve -c*p = 25 - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -0.1, -1\/197?\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 23*l + 0 + 7\/2*l**3 + 2*l**2. Let w be t(1). Calculate the greatest common factor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (12 + -3 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -3576012?\nAnswer: 10728036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -319767 * -18.\nAnswer: 5755806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5472, 21908, 49306, 87666, 136988?\nAnswer: 197272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3446286734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-352)\/12*3\/2. Let n be (-8)\/44 - 8\/a. Solve n = 3*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126618133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.185372 and 58420100?\nAnswer: 58420098.814628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1189 + 1186. Let x(h) = 43*h. Let a(v) = -22*v. Determine b*x(f) - 5*a(f).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 3:38 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31583 less than -593.806?\nAnswer: -594.12183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 780770955 to the power of 1\/2, to the nearest integer?\nAnswer: 27942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 56, 83, 112?\n\"Answer: o**2 + 22*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2707 and -44023.3.\nAnswer: -41316.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/11880160 and 21\/14488?\nAnswer: 11880160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331528 to the power of 1\/2, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 926108783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 994*c - 478*c - 427*c. Let x(n) = n. Calculate y(x(j)).\nAnswer: 89*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0*13\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -13*h**7\/7 - 11*h**3\/3 - 12. Find the third derivative of a(l) wrt l.\nAnswer: -1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven tenths of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5212 + 15826\/3. Let d = -63 + k. What is the nearest to d in -0.3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/980 or -3946.9?\nAnswer: -3946.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5537, -11052, -16541, -22004, -27441?\n\"Answer: 13*h**2 - 5554*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 20 - 4 = 0. Solve w + 2*i + 5 = 0, 0*w + 5*i + 26 = z*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m - 7. Calculate the remainder when -3 - -1 - (-47 + 2) is divided by x(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -29*i - 64, -24*r - 2*i = 22*r - 43*r + i + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/15 + 13*x**4\/6 - 16*x**3\/3 + x**2 + x - 4. Find the second derivative of a(f) wrt f.\nAnswer: -24*f**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 169\/39)*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20949 + 101799 = 10*n. Let u = -5564 + n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13402 + 9031. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -11.64835\nAnswer: 34.94505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359861.\nAnswer: 29, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/19 equal to 5.53221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = t + 269 - 4588, 3*r - 2*t - 2594 = 0. Suppose -4974 + r = -10*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -30*i. Let g(l) = -6369734*l. What is h(g(b))?\nAnswer: 191092020*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.300842l in millilitres?\nAnswer: 2300.842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25085 or 1?\nAnswer: -2\/25085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/9 - 5768*m**3\/9 + 194326*m**2\/9 - 1499560*m\/9 + 437000\/3 = 0.\nAnswer: 1, 10, 23, 2850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 2 = -23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -2\/19, -12?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94552 (base 16) to base 6.\nAnswer: 21004454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -74. Sort 3\/7, 0.2, 2, k in descending order.\nAnswer: k, 2, 3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418046172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7432 - 3799. What is the remainder when u is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 915*o**3 - 8770*o**2 - 20760*o.\nAnswer: -5*o*(o + 4)*(o + 6)*(o + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -64, -154, -280, -442, -640?\n\"Answer: -18*r**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -67*h + 28. Is a(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 4*s. Let v(f) = -1353*f**3 + 4*f**2 - 22*f. Let d(u) = 6*j(u) + v(u). Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1310 + -1314. Let d = -3 + 6. Suppose -5*n = -4*r + 80, n - r = 4*n + 31. Sort o, d, n in descending order.\nAnswer: d, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 8*o**2 - 22*o - 4. Is c(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*d - 82*d - 3 = 0. Factor -16\/3*i - 10\/3*i**2 - 2\/3*i**d - 8\/3.\nAnswer: -2*(i + 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/25 - 30\/25. Let q(m) = m**3 + 11*m**2 - m - 10. What is the lowest common multiple of q(-11) and 2*t*(-21 + 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, -3\/8, 20 in descending order.\nAnswer: 20, 1, 0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 116*j - 460. Let i be u(4). Solve -2*x - 8 = 2*t, 4*t = 7*x - i*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1738 and 260.\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3651 - -2981.4. Let h = u - -670. Let i be (2\/2)\/(3 + 1). Which is the third biggest value? (a) i (b) h (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:08 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175861 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - -4) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*x - 2*b + 64, x - 16 = -2*b. Let f = 38 - x. Let i = f + -22. Solve -5*o - 5*n - 20 = i, 0 = o + 3*n + n + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7880, 15789, 23708, 31643, 39600?\nAnswer: 47585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5217.77732 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n**2 + 303*n - 1720. Determine r(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49780 and 4380640?\nAnswer: 4380640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((1872\/654)\/4) - 32\/128. Suppose 0*k + 2\/13*k**4 + 0 - 2*k**2 - o*k**3 = 0. Calculate k.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-2)\/(-4))\/(-1). Suppose 4*t + g*o = -180, -2*o + 6*o = t + 54. Let v = 139\/3 + t. What is the third biggest value in v, 2, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1)\/((-2)\/(-2)). Suppose -n = -5*o + 22. Suppose c - o*u - 79 = -0*u, 316 = 4*c + u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5045690568 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 54 (b) -0.24 (c) -2 (d) 2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -116, -168, -218, -266?\n\"Answer: d**2 - 57*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b + 2*b**4 + 112 - 112 - 2*b**2 + 4*b**3.\nAnswer: 2*b*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-5)\/(10\/18). Let r = -33 - -21. Let i = r + n. What is the smallest value in 3, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 26*w - 455. Give c(15).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nblluulufufbuuuuu. What is prob of sequence lun?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1262)\/(-4)*(-2 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + v**2 + 4*v)*(-3085*v**2 - 160443 + 160443) to x*v**2 + f*v**4 + z*v + b + j*v**3 and give f.\nAnswer: -3085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -0.1 (c) 2\/7 (d) -1\/2 (e) -0.12551 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5))\/(f**(4\/7)\/f))**(1\/5)\/((((f**3\/f)\/f)\/f)\/f**4*(f\/(f*f**0))**(6\/5)) assuming f is positive.\nAnswer: f**(736\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4438 = 14*o + 21*o - 28063. What is the least common multiple of o and 1?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.047 - -58.401. Let k = q - 48.6. Let x = k - 0.7540469. What is x rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -77, -146, -273, -476, -773?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(21) - sqrt(189))\/sqrt(3).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 221211322 (base 4) to base 6\nAnswer: 3352414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -41*s**3 + 6*s**2. Let l(g) = -40*g**3 + 5*g**2. Calculate -5*c(h) + 6*l(h).\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**6\/a*a))\/a)\/a)**44 assuming a is positive.\nAnswer: a**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3318.5 + 3318.500006124. Round g to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054 take away 1412?\nAnswer: -1411.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -463, -651, -815, -961?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4968 = -21*p - 10*p + 54*p + 69*p for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1392, -5219, -11482, -20181?\nAnswer: -31316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93800, -93796, -93792, -93788, -93784?\n\"Answer: 4*r - 93804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 38\/9 and -0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 - 5*i. Let k(p) = 9*p**2 - 4*p. Let l(b) = -5*j(b) + 6*k(b). Determine l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (186 - 238 - (2 + -31)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 43*k**2 + 79*k - 125. What is u(-41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 1911, 2, -0.16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500) - (sqrt(5) + sqrt(125) + 0))**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-170) + (-21)\/105.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + j**3 - j**3 + (3 - 1 + 0)*(j**3 - j**3 - 2*j**3) + (0 + 0 + j**2)*(0*j - j - j)*(4 - 4 - 1).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*g - 76*g + 33*g as f*g + o and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 12*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.572 - 43980.\nAnswer: -43972.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10 (b) -3\/2 (c) 2\/3 (d) -176 (e) 3 (f) -4311\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (33 - 67 - -35 - 19).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*r + 10, 0 = -2*s + 2*r - 5*r - 7. Let t(z) = -2*z + 2. Is 3 a factor of t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2.2 (b) -4 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:37 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 20*o = -1980. What is the remainder when o is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than or equal to -478\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-1) + 0 + 3. Let m be (0 - 3)\/(-3) - -3. Solve 0*r = -m*r - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39805348 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 -16*w - 3*s = -21*w - 171, -w - 57 = -12*s for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 12*a**2 - 12*a + 5. Let b be (1 - -2)*((-52)\/(-6) + -5). Give c(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61+30\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*w + 304, -35*w + 228 = -546*w - 3*q - 11*q + 17*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 24. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-27 + -3 - (-5 - (-22 + 10))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 3:19 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:29 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (104\/(-14) - 2)\/(2\/(-14)). What is the highest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dede when four letters picked without replacement from ddededdeeedde?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-45 + (111 - (36 + -35))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -49. Let j = -20 + 22. Let y be 40\/(-16)*j\/20. Which is the closest to x? (a) y (b) -0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 0*a + 4*a + 4*a - 12*a - 5*a + (-1 + 1 + 8*a)*(3 - 5 + 1).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from qoppupyqupqvuqu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 - 169 + y + y**2 + y + 77 to the form l*y**2 + o + n*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2080, 1934, 1788?\n\"Answer: -146*f + 2226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 8*q + 9. Let s be u(-7). Suppose -3*z - 2*o - s = -2*z, 4*z - 19 = o. Solve -2 = -l - m + z*m, 3*l - 1 = 4*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2871 - 713 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 2. Suppose 4*x - 20 = 0, -2*m = x + 3*x - 8. Let a be q(m). Let o(f) = -3*f + 3. Is 15 a factor of o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/15, 3, 0, -0.3, -20 in ascending order.\nAnswer: -20, -0.3, -2\/15, 0, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 - 9*t - 91. Calculate m(11).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 12 = -5*o - 2*w, 2*o = -4*w + 8. Suppose -3 = c - 0. Let u be 0\/(c - -1) - 76\/o. Which is smaller: 21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 23*z**3 - 8 + 54*z**3 - 17*z**3 + 68*z**2.\nAnswer: 60*z**3 + 68*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.85 - -0.05. Let a = v - 0.2. Let h = 0.07 + -0.17. Is a < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:19 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 76. Suppose 3*l = 5*s + w, -2*l + 5*s + 23 = -25. Is 6\/l + 9640\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*y**2 + 47*y**2 - 24*y - 3*y**4 - 45*y**4 - 88*y**3 - 4*y**5 - 172*y.\nAnswer: -4*y*(y - 1)**2*(y + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**3 + 6*z**2 - 6*z + 5. Let g(y) = 10*y**3 + 11*y**2 - 11*y + 9. Determine 6*g(u) - 11*k(u).\nAnswer: 5*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29759614 to the power of 1\/2, to the nearest integer?\nAnswer: 5455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29121\/14 - 2079. Let r = -3\/7 - g. Let y(w) = w**3 + 9*w**2 + 7*w - 5. Let v be y(-8). Which is the biggest value? (a) v (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*a - 17, -3*p - 14 = -0*p + 4*a. Suppose 1309 = 5*t - p*i, 5*t - 1042 = t - i. What is the highest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18981 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: Let w(m) = m**3 - 4*m - 3. Let g be w(-2). What is the third biggest value in 5, g, -5, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w + 74. Let n be s(13). Let p be (6\/n)\/(13\/(-195)). Factor p - 16\/19*k - 2\/19*k**2.\nAnswer: -2*(k - 1)*(k + 9)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 101 = -5*p, 2*c - 53 = -2*p - 3*c. Suppose 0 = -8*n + 621 + 435. What is the remainder when n is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11891534 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*3\/(-2) - 2\/(-4). Suppose 2 + 2 = 4*z. Calculate the greatest common divisor of o and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**2 + 4*u - 5. Let f be q(2). Let s = 0 - 3. Let p be (-102)\/(-18) - (-2)\/s. Calculate the highest common factor of f and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.031 - 0.959. Let j = w - 0.01. What is the second biggest value in j, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 3*d + 0*d + (4 - 3 + 1)*(3 - 1 - 4)*(-31 - 62*d + 31).\nAnswer: 244*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358264, -358171, -358078, -357985, -357892, -357799?\nAnswer: -357706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1848)\/(-20))\/((-1)\/5). Let r = k - -546. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 12*o**2 + 15*o - 19. Let z be h(13). Calculate the remainder when 3*4\/(-12)*-59 is divided by (-24)\/5*z\/((-112)\/40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 + 3*b - 5. What is m(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 24*n**2 + 48761*n - 244408. Determine h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -81\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 63. Let p(t) = -2*t + 21. Let q(i) = 3*f(i) + 8*p(i). What is the smallest common multiple of q(5) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 5 (c) -2\/45 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/3839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -87931*i**3 - 10*i**2 - 11*i - 1. Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.9 - 9. Let s = 8.9 - t. Let q = s + -8.0000061. What is q rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 14*d**2 + 4)*(-3 - 34*d + 64*d - 34*d + (0 - 4 + 2)*(0*d + 0*d + 2*d)) to k*d + x*d**2 + w*d**3 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a*a**(-6)*a*a*a\/(a**(4\/3)*a)*a\/a**(-7\/2))**(-2\/157) assuming a is positive.\nAnswer: a**(-55\/471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*((-2*(sqrt(108)*4 + sqrt(108)) + 2)*-1*4 + 5))**2.\nAnswer: -3360*sqrt(3) + 172849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-7) - (-29)\/7. Solve -4*s - 6 = -5*w - 2*s, -2 = -5*w + j*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6410955)\/(-25141)*((-1)\/1)\/5.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 27*w - 28 = 0. Let u(v) = -32*v**2 + 65*v**2 - 32*v**w. Let g(c) = 14*c. Give u(g(q)).\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 - 2686\/15. Let r = c + -43\/30. What is the third biggest value in -4, 1, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11660019.\nAnswer: 3, 7, 233, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 13 - 35 = 0. Suppose f*b + 934 = 3*s + s, -15 = 3*b. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.2 + 63.8?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-7))\/(9\/((-1323)\/42) - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*(1 + 1). Let y be i\/((0 + -3)\/(-9)). Solve -y*g = 2*r - 5, 0 = -r + 4*r + 2*g - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 1012741 - 4*h + 3*h - 1013325.\nAnswer: h - 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 divided by 28?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 + -209. Calculate the lowest common multiple of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -7*z. Let t be (-2 - 3)\/(z + 30\/(-108)). Sort 9, t, -2 in decreasing order.\nAnswer: t, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369697 + 62303 = -4*b. Round b to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 386*g.\nAnswer: 2*g*(g - 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-14) + (-544)\/(-952). Solve -5*w - 9 = -2*q, 0 = 4*w + q - t*q + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/28 (c) 1 (d) -2\/11 (e) -34\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(2\/(-1)))\/(2529\/281)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/4)\/((-6)\/8). What is the units digit of 16\/i*135\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -3) + 18 + -5. Suppose -a + d - 6 = 0. Solve 5*x + 3 = 2*q - 2, -a*x + q = 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -16*v**4 + 6*v**3 - 2*v**2. Let f(b) = -b**4 - 2*b**2 + b. Let r(j) = -12*f(j) + 2*q(j). Suppose r(l) = 0. What is l?\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 1265922 = -32323052. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444387 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:10 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 4*l - 4*l - 31*l**3.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 5:53 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3952300 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 7*q**2 - 11*q - 2. Determine c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120174 is divided by 578.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - t + 8 = x, 5*t = 2*x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107683 is divided by 1539?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, -25, -87, -187, -331, -525?\n\"Answer: -c**3 - 10*c**2 + 7*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183858.8 kilograms to grams.\nAnswer: 183858800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.78239 hours?\nAnswer: 166.9434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Let p(v) = -v**2 + 18*v - 37. Let f be p(16). Let s(l) = -3*l - 6. Determine f*o(a) - s(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*((-1)\/(-5))\/((-268)\/(-335))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442704.5l to millilitres.\nAnswer: 442704500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1091.743\nAnswer: -4366.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3499 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15541, 60855, 135961, 240859, 375549, 540031?\nAnswer: 734305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2280877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13532.7 + -13533. Which is the closest to 1\/8? (a) g (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1274 by 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*y - 5 + 6 = 0, y = w. Let o be ((-4)\/220)\/(w + 22\/(-30)). Is 1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n**4 + 4*n**3 + 74*n + 17. Let y(w) = 5*w**4 + w**3 + 24*w + 6. Let r(g) = -6*k(g) + 17*y(g). What is the second derivative of r(t) wrt t?\nAnswer: -60*t**2 - 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 - 1. Let z = -9 + 8. Let s be u(z). Suppose -4*f + 3*i = -34, i - 54 = -5*f - i. Calculate the highest common factor of s and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1795392*g - 68836910?\nAnswer: 1795392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134526198, 538104813, 1210735838, 2152419273?\nAnswer: 3363155118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 14*z - 13*z - 8*z.\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*s + 36 = 12, 3*l = 4*s - 18. Let d(c) = c**2 + 8*c + 14. Let w be d(l). Factor 0*t - 1\/9*t**5 + 1\/9*t**3 + 0*t**4 + 0*t**w + 0.\nAnswer: -t**3*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 + -210. Let z = o - 1265\/7. What is the nearest to 1 in -2, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a648 + 0?\nAnswer: a648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 9089812*j\/3 - 9089815.\nAnswer: (j - 9089815)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0 + 2 - 1 - 59*j. Let a(q) = 94*q - 39*q - 21*q - 17*q - 21*q. Determine a(g(p)).\nAnswer: 236*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 10\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by -368?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 56 = -4*p, -2*p = -3*p - 3*d - 21. Let i(y) = -4*y + 5. Let g be i(5). Let n be g\/(p\/2 + 3). Solve -3*o - 32 = 5*j - n, 8 = 2*j - 3*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v = 0. Let f = -71 - -100. Suppose v = g - 208 + f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -a + 8 + 22, -2*a = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 = 5*q - 0*m, 2*m = -5*q + 10. Let g(n) = 2*n**3 - 3*n**2 + n + 1. Let h be g(q). What is the first derivative of 3 - h - 4 - 6*b**2 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5172.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from qwqwqkwqq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21432000 to the nearest one hundred thousand.\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + l + 3*l + 8 = 0, d = -4*l - 8. Suppose d = -w + 2*j + 933, j - 1861 = -2*w + 5. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2945 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 47*z = 46*z - 14, 5*y = 2*z - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -14 + 31 + (4 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2130 - 2119. Solve 28 = -17*g + i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 52*s - 100 = 0. Is 17 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(3 + 330057\/96). Let p = -6879 - r. Calculate the common denominator of p and -19\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o**4*(o\/(o*o**(2\/7)*o))**(9\/5) assuming o is positive.\nAnswer: o**(304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -4*h - h. Let x be (-9)\/1 - (3 + -1). Let i = x + h. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 divided by 31?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r + 96 = 46*r. Which is greater: -10 or r?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 267*s**2 + 40*s - 285. Is k(6) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h**3 + 1\/840*h**8 - h**2 - 1\/75*h**5 + 2\/525*h**7 + 0 + 0*h - 1\/75*h**6 + 1\/20*h**4. Solve x(j) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 22*p + 20*p + 4*p + p + 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 59 - (34\/153 + (-4)\/18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, -6\/5, 2\/17, 4, 169, 3\/5?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 4*v + 0*v - 3 - 11*v. Let y be p(3). Let f = -22 - y. Solve q - 3*b = -b - 4, 0 = 3*q - f*b + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {s: 9, d: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 12*t - 14. Let d be b(1). Let c(q) = q**3 + 6*q**2 + q - 27. Let j be c(d). Let p(y) = -y**3 - 6*y**2 + 9*y + 4. Determine p(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.5741 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**4*z - 2074*s**3*z + 2*s**3 + 2*s**2 + 316*s*z + 3*z wrt s.\nAnswer: 96*s*z - 12444*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 21441.9577262222.\nAnswer: 21442.9577262222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/2)\/(m\/m**(-2\/11))*m**(-5)*m**6*m**(1\/2)\/(m*(((m\/m**(2\/19))\/m*m)\/m*m)\/m)*m\/m**(-3\/2)*m*(m*((m**(4\/5)*m)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(2557\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 739, 763, 803, 859, 931?\n\"Answer: 8*l**2 + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 1.3. Let o = 0.202 - -0.198. Put 2\/7, h, o in increasing order.\nAnswer: h, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/69 + 296\/2139. Suppose 38 = 4*m + 2*s, 4*m - 3*s - 3 = 20. Let i(k) = -k + 7. Let v be i(m). Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 + 129. Let j = -263.0000147 + o. What is j rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 - 4*g + (-3 + 3 - 2)*(-g - 2*g + 2*g) - 2*g + 0*g + 3*g - 2*g + 2*g - 2*g + (-3*g + 4*g + 0*g)*(3 - 4 - 1) as o + k*g and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 4. Let s be m(4). Let f(b) = 2*b - 2. Let j(y) = -3*y + 5. Let o(z) = -2*f(z) - j(z). Calculate o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.5, -1\/4, 4.\nAnswer: -0.5, -1\/4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 6*h - 10*h. Let v be (160\/(-36))\/((-2)\/h). Let w = 47 + v. Sort w, 0.5, -1\/5 in increasing order.\nAnswer: -1\/5, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2088 = -6*n. What is the greatest common factor of 29 and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 16, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18724 and 5015.\nAnswer: 93900860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.5, 0, -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1acbb (base 16) to base 4.\nAnswer: 122302323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53105940 divided by 1?\nAnswer: 53105940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*b - 2*b - 48, -15 = -5*b. Suppose 19*s - x*s = 211. What are the prime factors of s?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -16 - (-41 - -41) - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0 (b) 14 (c) -2 (d) -1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -36, -4 in decreasing order.\nAnswer: 4, -1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13277061.563357 less than 0.4?\nAnswer: 13277061.963357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - 8\/5*(-396)\/264?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19609 divided by 1345?\nAnswer: -19609\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5 + 2110*a**4 - 151694*a**3 + 2825242*a**2 + 151696*a - 2827352 = 0.\nAnswer: -1, 1, 38, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + (-63690)\/7035 + 2\/14. Let z = s - 1291\/201. What is the common denominator of -20\/81 and z?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of (0 - -2) + (1 - -367) - (-660 - -665)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9142752707\/1849140240 + 154\/652945. Let y = z + -1\/8496. What is the common denominator of y and -35\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/40)\/(5\/250*-6)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334471 + 16*o**3 - 668950 + 334479.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.38 + 16.38. Let f be (7 + -9)\/((-96)\/16). Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + o - 53 = 0, -4*n + 6*o + 76 = 2*o. Suppose -3*c - 4 - 2 = 0, n = 2*x + 2*c. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 7*s**2 + 3*s + 177. Calculate the least common multiple of w(0) and 30.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -117*g + 942. Let c be q(8). Suppose -5*h = -h + 20. Let f be ((-20)\/25)\/(1\/h). Solve -f*t - 26 - c = -4*p, 3*p = 2*t + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 32. Suppose 4*i - 3*l - 249 = r*l, 2*i - 120 = -2*l. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027610 divided by 277?\nAnswer: 10930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 32, -0.2, 16\/39, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101000111101001 + -100001100?\nAnswer: 10001101000011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7684 = 3*n - 7693. Let s(c) = -5*c**2 + 2*c + 1. Let a(b) = b**2. What is n*a(t) + s(t)?\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 29*r**3 + 4*r - 90. Let o(t) = -t**3 - 2*t - 1. Let d(l) = l**3 + 4*l**2 + l - 4. Let m be d(-3). Let w(z) = m*o(z) + k(z). Differentiate w(j) wrt j.\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(1*sqrt(4)) + sqrt(55))*2)\/(sqrt(55)\/(-5*-3*sqrt(11))).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -100*i + 11104. What is u(111)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130487684.\nAnswer: 2, 653, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from ifnfamnwm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z + 540. Let b be d(40). Is b at least 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 f when three letters picked without replacement from uuluufuuuufkffuuu?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from qqntqqqqnqqt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 2*a - 8. Let t = -229 + 237. Let h(p) = 1 + 3 - t + 8 - 5. Determine b(y) - 6*h(y).\nAnswer: 4*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1910 = -5*n - 5*p - 1925, 5*p + 15 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 - 1)*(-2*h + 0*h + 0*h) + h + h - 4*h)*(-168*h + 295*h - 38 + 45) as q + y*h**2 + w*h and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:37 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 3. Suppose -28 = -f*l + 5*x, -4*l + 3*x = -2*l - 17. What is the closest to l in -5, 5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2305 - 1630. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duhfx. Give prob of sequence xd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = 1800036. Let y(b) = 159110*b + 29. Let f be y(4). Suppose 3*k = -h - n, 1163528 = -4*h + k - f. What is h rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Let t(d) be the second derivative of -d**3\/6 + d**2\/2 - 3*d. Let k(o) = -3*o + 4. Let r(j) = -k(j) + 4*t(j). Give z(r(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/856 and -133\/641568.\nAnswer: 68647776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = -2*h + 5*s, 5*s - 8 = -4*h. Suppose 3*x - h*k - 5 = 0, -x + 2*k = x. Factor -20*z**4 + 11*z**4 + 5*z**2 - x*z**2 + 6*z**3.\nAnswer: -3*z**3*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.83. Let r = h + -0.112. What is r rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 72. What is the tens digit of 1368\/45 - (-4)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 79. What is the tens digit of 22\/(-3*p\/180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15770 + -15464. Calculate the remainder when 1175 is divided by j.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12520*q**5 + 17319*q.\nAnswer: 250400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.2. Let p = 0.03 - 0.03. What is the second biggest value in p, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12333 + 5?\nAnswer: -12324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/745687 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p**2 - 8*p + 36. Let v(f) = 3*f. Calculate v(d(w)).\nAnswer: 36*w**2 - 24*w + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuetlblu. Give prob of picking 1 e and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-10)*(464\/(-32) + 17)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -251, -255, -259, -263, -267?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20342 (base 5) to base 10\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0267 in -3, -5, -2\/21, 2\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -8) + 1 + (2 - 9) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4941 = -4*c - 5*a, 1324 = -3*c + 5*a + 5056. Let r = 10007\/8 - c. Calculate the common denominator of -31\/36 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 13. Let m be r(-8). Suppose m*a - 2 = 4*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 221 = -t, -2*x - 67 = -2*t - 273. What is the units digit of -1 - (-15)\/18 - (-6714)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 - 59202*g**2 + 438020784*g + 1314595224 = 0?\nAnswer: -3, 14802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(160\/8))\/((-1)\/4*-2*-23)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011010011 (base 2) in base 9?\nAnswer: 5176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983.626854 less than 0.1?\nAnswer: -3983.526854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 + 837*l - 1686 = 0. Calculate l.\nAnswer: -281, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(864)*-1 + sqrt(864) - sqrt(864)*2*1)\/(5*5*-1*sqrt(98)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10107589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + 1 - (-2 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -25 + 38*w**2 - 23 + 46. Let l(k) = k**2. Calculate l(u(c)).\nAnswer: 1444*c**4 - 152*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*u**2 - 4*u**4 - 106008*u + 12*u**3 + 106008*u = 0 for u.\nAnswer: -5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l - 48*l + 2*l**3 + 11*l - l**4 - l**3 + 11*l as u*l + n + p*l**2 + d*l**3 + z*l**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14497451 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let m(q) = -61*q**4 + 5*q - 40. Let p(i) = -m(i) - 5*s(i). What is the derivative of p(g) wrt g?\nAnswer: 244*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 7448?\nAnswer: 37240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64326436 - 155?\nAnswer: -64326624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 4*q - 2. Let l(x) = 2*x**2 - 2*x + 1. Let k(r) = -5*l(r) - 2*w(r). What is k(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d + 2. Suppose 9 = 3*k - 4*k. Let r(s) = 5*s - 1. Let b(w) = k*r(w) - 4*q(w). Let f(h) = h. What is b(g) + 2*f(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/((99\/18)\/(-11)*-2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3810*y + 127. Let n(k) = 119*k - 4. Calculate -4*l(t) - 127*n(t).\nAnswer: 127*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 1\/3*j**6 + 1\/210*j**7 + 18*j**2 - 1 + 15\/8*j**4 + 1\/60*j**5 + 0*j**3 + 0*j. Find the third derivative of u(t) wrt t.\nAnswer: 24*t + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 9*q + 20. Let d = -49 - -34. Let g be 3*(-1 + d\/9). Does 4 divide x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19818, 19789, 19740, 19671, 19582, 19473?\n\"Answer: -10*l**2 + l + 19827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fufuufuffffu. Give prob of picking 3 u and 1 f.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -404004*p**3 + 39484*p + 3 wrt p.\nAnswer: -2424024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3279 - 3280.09. Let j be (-1)\/(-2)*(-13 - -11). Is h bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/21 (b) -0.03 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -33. Let s(u) = 36*u**2 + u. What are the prime factors of s(b)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/2231?\nAnswer: 4\/2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5418 = -3*w, -56*w = -52*w + z - 7236. What are the prime factors of w?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/24 - 2*x**2. Let t be c(2). Solve n = f - 6, -4*f = 2*n - t - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l**2 + 0*l)*(94501 - 189001 - 2*l + 94497 - 296*l**2) to the form k + m*l**4 + r*l**2 + q*l + d*l**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958443, 958411, 958357, 958281, 958183, 958063?\nAnswer: 957921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09733215 to 4 dps.\nAnswer: 0.0973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y. Suppose -1 = -w + 4. Let z be 4\/14 - (-4)\/(-14). Let s(m) = z*m - 3*m + w*m. Determine l(s(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6244266*i**2 - 6244266*i**2 - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 93970 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-30))**3*(a\/(a*a**(2\/9)*a))**15 assuming a is positive.\nAnswer: a**(-316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p**2 + 61*p**2 + 60*p**2 - 176*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5102050.111669 from 5.\nAnswer: 5102055.111669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 16*a + 2. Let s be p(16). Suppose -s*w + 63 - 3 = 0. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {o: 2, t: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 7380023?\nAnswer: -7380018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 + sqrt(180)*1)**2.\nAnswer: 24*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -v - 2*r, 4*r - 103 - 204 = 3*v. What are the prime factors of (v\/2 + 3)*-8?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202517331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -715 or -726?\nAnswer: -726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -57, -0.4 in increasing order.\nAnswer: -57, -0.4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-33 + -4))*1. What is the third derivative of -p*j**2 + 3*j - 3*j + 31*j**2 + 53*j**4 wrt j?\nAnswer: 1272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 5. Let t be z(4). Let n(w) = -10*w**2 - 11*w - 9. Let c(g) = 7*g**2 + 7*g + 6. Let a(u) = 7*c(u) + 5*n(u). What are the prime factors of a(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/528*(-2)\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 0 (c) -0.06 (d) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 52*f**3 - f**2 + f - 1. Let l = 216 + -212. Suppose 2*m - 3 = d, 5*d - 14 = -l*m - 15. Determine w(m).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 328663 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 13324?\nAnswer: -13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4570.8 in -4\/5, -1, 0.14, -0.02?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5374055117\/1903712220 - 370\/749493. Let a = c - -67\/127. Find the common denominator of 13\/22 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7905\/372 - 21 - 73\/340\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(9\/123)*27. Let s = j + -309. Calculate the least common multiple of s and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, l: 10}. What is prob of picking 3 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83167*x**2\/2 - 7324640*x\/3 + 137\/2 = 0 for x.\nAnswer: 1\/35643, 411\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 701892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1\/1)*(-10)\/(-40).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from hhchpccphhcphpph.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5999\/2 + -29089\/10. Let g = j - 91. Let y = -0.1 + 0.1. What is the closest to 0 in y, 2, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15363012, -61452060, -138267140, -245808252, -384075396, -553068572?\n\"Answer: -15363016*z**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + b + 1. Let c be s(-2). Let x = -7 - c. Suppose 0 = 10*o - 6*o - 40. What is the lowest common multiple of o and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3131741724?\nAnswer: 2, 3, 83, 139, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 960*z**4 - 151092*z**3 + 1015328*z**2 - 865200*z = 0 for z.\nAnswer: -350, 0, 1, 6, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43215338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 + 0*n**3 - 4*n**3 + n**3 + 2*n**2 - 2*n**2 + (1 - 2 + 3)*(n**3 - 3 + 3) + 30*n - 29*n**3 - 30*n - 70*n**3 as d + z*n**2 + h*n + p*n**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let x(g) = -g. Let z be x(-8). Suppose 5*s = 2*v - 35, -3*v + z = -5*s - 32. Let d(k) = -5*k**2 - k**2 + v*k**2. What is b(d(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*s + 29751 - 2252 + 8411. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2360 and 30555392.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f*j**3*k*u**2 + 13*f*j**3*u**2 - 6*f*j*k - 5*f*j*u + 2*j**3*k*u + 2*j**3*k wrt u.\nAnswer: 6*f*j**3*k + 26*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (-7 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 41*q**2 + q. Let s be y(-2). Suppose 0 = 38*i - 10 + s. Sort 1, i, 4, -5 in increasing order.\nAnswer: -5, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + 10*z**3 - 161646*z**2 - 14487198*z?\nAnswer: 24*z**2 + 60*z - 323292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(76)*5 + (3*(sqrt(76) + -2) - sqrt(76)) + 5 + 3.\nAnswer: 2 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2. Let r be o(0). Let n = 5 - -14. Suppose -7*y + n = 5. Solve 5*j - 4*f = 33, r*f + 14 = y*j - 0*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1302799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714\/5*i**2 - 3\/5*i**3 + 0 - 42483\/5*i = 0 for i.\nAnswer: -119, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108) + (sqrt(108) + -3)*-4 - (5*(sqrt(108) + (sqrt(108) - (sqrt(108) + 5))) + sqrt(108) + 5))**2 + 4.\nAnswer: -3348*sqrt(3) + 9713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 36 = 2*q. Let r(w) = w**2 + 4*w - 1. Let o(x) = -5*x**2 - 39*x + 21. Let k(f) = q*o(f) + 6*r(f). Give k(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.582341 millilitres in litres?\nAnswer: 0.009582341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942510599.\nAnswer: 19, 47, 677, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(243) - -4*(sqrt(243) + 1) - (0 + sqrt(243))*1)**2*4.\nAnswer: 1152*sqrt(3) + 15619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 2.835?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*r**3 - 6*l**2*r**2 + 6*l**2 - 10*l*r**3 - 11*l + 11*r**3 wrt l.\nAnswer: 4*r**3 - 12*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*h + 27 = 0, 7*s - 3*s - 3*h = 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798019 is divided by 147262.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 7*o**6\/720 - 3*o**5\/20 + o**4\/6 + 89*o**3\/6 + 9*o - 1. Let g(y) be the third derivative of d(y). What is g(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 - 62 = 0. Let n = s - 0. Let v = 75 - 67. What is the remainder when n is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**5*t**(-1\/4)\/t assuming t is positive.\nAnswer: t**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r - 4. Let x(z) = -z**3 + 3*z**2 - z + 1. Let k be x(2). Let u = -3 - k. Let w be q(u). Solve -12 = -2*c - w*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.871145322 to three dps.\nAnswer: -1.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 266\/741*(-13 - -19) + -1 + -1. Determine x, given that 0*x**2 + s*x**5 + 0*x + 0 + 8\/13*x**3 + 8\/13*x**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.06?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**3 - 12*x**2 + 1. Let k(w) = 15*w**3 - 26*w**2 + 4. Let s(b) = -13*d(b) + 6*k(b). Suppose 0*m + 3 = -4*q + 3*m, -3 = -2*q - 3*m. What is s(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*r**3 - 2*r - 8*r + 4*r + 891*r**3 + 6*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99259.79l?\nAnswer: 99259790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q. Suppose 2*h - 15 = 5. Let a(x) = -18*x + h*x + 7*x. Give a(z(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.9 (b) 22115 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/13))**(-16)\/(y\/(y*y*(y*y*y\/((y*(y\/y**(2\/7))\/y)\/y))\/y)*y*y**(8\/7)\/y) assuming y is positive.\nAnswer: y**(307\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1229450 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1472 or 1464?\nAnswer: 1472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2082 - 2072. Solve -12*i - n*i = -132 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10613511 (base 7) to base 5.\nAnswer: -214144233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Let a(v) = v**2 - 6. Let o be a(0). Determine z(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67890 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 55 = 5*g, -4*g = -r - 60 + 38 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**2 - 6*u**2 + 13*u**2)*(1 - 1 + 2*u**3 + 0*u + u**3 + 0*u + (4*u - 4*u + u)*(0*u**2 - u**2 + 3*u**2)).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110, -99, -86, -71, -54?\n\"Answer: b**2 + 8*b - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 502480 = -5*q, -2*q - 2*u + 254678 - 53688 = 0. What is q rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.327046 micrometers to nanometers.\nAnswer: 6327.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.5 - 78.5. Let q = f - -73.0736. Let d = -0.08 + q. Round d to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 8. Let m be k(4). Let p be (-1 - -7)*m\/2. Calculate the common denominator of 77\/2 and ((-13)\/91)\/(p\/7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1711759701 to the nearest integer?\nAnswer: 41373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22027, 0, 2?\nAnswer: 22027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326.4356 litres to millilitres.\nAnswer: 326435.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401\/438 - 6\/73. Find the common denominator of w and -73\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, 100, -45, -2 in ascending order.\nAnswer: -253, -45, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by -21451\nAnswer: 220\/21451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.241 - -2.46. Let k = z - 0.2190315. What is k rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175980956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/13 + 43772*r**2 - 14796342*r\/13 - 1181952 = 0 for r.\nAnswer: -284544, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 0*f - f + 3 - 2*f - 3 + 4 - 4 - 4*f + (-f + 3*f - f)*(0 + 2 - 1) + 1196*f - 109*f + 2215*f as t*f + j and give t.\nAnswer: 3299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 3, -0.3, -1\/6 in ascending order.\nAnswer: -12, -2, -0.3, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 6:43 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.2, -39, 5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**2\/2 + y + 72. Let h(p) = 6*p**2 - 3*p + 3. What is -h(m) + 3*z(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/9 + (-16 - -23) - (-12)\/(-36).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 746250 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 3*j. Suppose 4*c = -7 - 1. Let d be y(c). Suppose z = d*s + 3*z - 78, s - 30 = 2*z. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*f + 421805 + 805400. What is the remainder when f is divided by 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 18, o: 1}. Give prob of picking 2 e.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42125, 42121, 42117?\nAnswer: 42113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18144 = -80*i - 88*i. Which is smaller: i or 32?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 52 - 84 + 208 - 10688*p**3 - 74 in the form a*p + f + k*p**3 + m*p**2 and give k.\nAnswer: -10688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808629 is divided by 6035.\nAnswer: 5974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 43*i = -10. Suppose 0*p = 4*p - 4*v + 16, -3*p - 20 = -v. Let q = -5 - p. Solve -q*c + 21 = 3*m, -i*m + c = -0*c + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:58 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 7. Let l be (-1)\/(-3)*1*0. Give p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73311 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1032*q*t**4 - 4*q*t - 3*t**2 - 14 wrt t?\nAnswer: 24768*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3 = 2*z - 3*c, -z + c - 1 = 0. Let v = -5 - z. Let i = v - -9. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 plus 3313.411?\nAnswer: 3107.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/2)*q)**(-21)*(q*q\/(q**(-2\/3)\/q))**17)**(-1\/7) assuming q is positive.\nAnswer: q**(67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5310 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h**3 - 20*h**3 + 7*h**3.\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/4 - 2*y**3 - 3*y**2 - 6*y - 1047. Suppose -q = -3*q - 10. Determine t(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151875661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*m + 16. Suppose -m*s - 4*t = -11 + 33, t = -4*s - 12. Which is greater: s or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -59. Suppose 0*a + l = 4*a - 2*q, -q + 24 = a. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 25 = -3*l, 0 = -3*l - 0*l + s + 20. Suppose l*c - 4*c = 10. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 12 = 5*p - 2*u, -5*u + 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967991.5mm to nanometers.\nAnswer: 967991500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*72\/132. Let r = -0.7 + 0.6. Which is the third smallest value? (a) 5\/4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(0 + (-1 + (sqrt(612) - (sqrt(612) + 1 - sqrt(612))) - (sqrt(612)*-1 + 2)) + 3 + 0))**2.\nAnswer: -7776*sqrt(17) + 793476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 0*f**2 + 4 + 5 - 8. Let m be g(-3). Suppose 12*j - m*j = 36. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 + (-15 - 221\/17))*15\/6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h**4 + 2*h**3 + 7*h**2 - 2*h. Let g(y) = y**4 - y**3 + y. Let n(p) = b(p) + 2*g(p). Find the third derivative of n(o) wrt o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d*l**2 - d*l + 8*d - 872*l**2 - 428*l wrt l.\nAnswer: -16*d - 1744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 0 = x*c + 3*c - 70. Solve 0 = 4*p - z + 9 + c, -z - 7 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from wowwoowowwwwwwwo.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 2915859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1. Let v(p) be the third derivative of -p**4\/12 - 5*p**3\/6 + 100*p**2. What is 4*j(w) - v(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13986942 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1521786*k**6 - 55717832*k**2 wrt k.\nAnswer: -182614320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(1\/5))\/((h*((h*h\/h**(1\/5))\/h)\/h)\/h)*h**(-2\/13)\/(h*h\/(h*h**(-2))))**(-26))**(-12\/5) assuming h is positive.\nAnswer: h**(-672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.5. Let z = 0.5 + v. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+17478418004.06\nAnswer: 17478418002.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**3 + r**2 - 8*r - 32. Let h(q) = 11*q**3 + q**2 - 11*q - 49. Determine 5*h(g) - 7*z(g).\nAnswer: -g**3 - 2*g**2 + g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -32*j. Let g(k) be the third derivative of -k**5\/30 - 13*k**2 + 1. Determine g(d(m)).\nAnswer: -2048*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6105 by 3.\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*s = -88*s + 124128. What is the hundreds digit of s\/(-60) - (-4)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 - -7. What is the nearest to -2 in s, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 14337 - 13239 = 0. Suppose 1119 = -3*h + l. Suppose -3*d + h = -1255. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/27 + 10\/3. Suppose -3*q - u - 2*u + 1818 = 0, -1230 = -2*q + w*u. Suppose 4*s = 5*b + 3*s - q, 5*b = 5*s + 605. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 28 = -3*f, -m + 4*f = 9*f + 21. Let h(r) = -3*r + 1. Give h(m).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 - 2*k. Let d be ((-98)\/147)\/((-4)\/6)*-2. Give i(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 238 = -243, 3*t + a - 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.29, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 18*y**2 + 23*y - 103. Is u(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6469*m. Let n(t) = -t**2 - 4*t + 34. Let h(a) = -4*a**2 - 18*a + 153. Let v(x) = 4*h(x) - 18*n(x). Calculate v(l(r)).\nAnswer: 83695922*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)\/(l**(-2\/7)*l))**13 assuming l is positive.\nAnswer: l**(-1066\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 32288.42 days?\nAnswer: 2789719488000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16239338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882 a factor of 52394760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -272325 times -15?\nAnswer: 4084875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 811 divided by -436\nAnswer: -811\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41841138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34554121, -34554124, -34554127, -34554130, -34554133, -34554136?\n\"Answer: -3*b - 34554118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146651, 146678, 146763, 146936, 147227, 147666, 148283?\nAnswer: 149108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19 + (-27)\/1764*-1220 and 235\/(-105) - 0\/(-2).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(1\/12))*n**(5\/2) assuming n is positive.\nAnswer: n**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36163 is divided by 36160.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 18*t + 16 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.997 + -0.003. What is the nearest to 1\/4 in 1\/4, m, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n**2 - 7*n - 3. Let q(i) = -5*i**2 + 4*i + 2. Let w(b) = 5*q(b) + 3*z(b). Let a be w(1). Let c be 2 + 2\/(-1) + a. Solve 4*r + 6 = -c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 14 + 6393*d - 13.\nAnswer: 6393*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8703.48 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 divided by 3?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1543, -1565, -1623, -1735, -1919, -2193?\n\"Answer: -3*z**3 - z - 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/(m\/m**(-4)))**(-39)\/((m**(-2\/5))**47\/((m*m\/(m**0\/m)*m)\/m*m)**(2\/33)) assuming m is positive.\nAnswer: m**(64199\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17788817 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8897441 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: Does 41 divide 64421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1. Suppose -5*f + 53 = 2*m, -5*m = -5*f + 2*f + 7. Let t = -14 + f. Sort c, -2, t in descending order.\nAnswer: c, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 290. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/5 - 390*s + 21571\/5 = 0.\nAnswer: -1961, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23879, 47695, 71459, 95171, 118831?\nAnswer: 142439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1077*x - 543406 + 543406)*(0*x - x + 0*x)*(4*x - 4*x - x)*(x + 0*x - 3*x) to u*x**4 + n + v*x + o*x**3 + p*x**2 and give u.\nAnswer: 2154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 55 = 0. Factor 2*r - 2*r + 12*r**2 - z*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352681 <= 1352678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 910988271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 - -58. Let r = -46.000102 - g. What is r rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 72. Let p be -3*(-16)\/w*-3. Solve 0 = -2*q - 2*q + p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 - 4.31. Which is the third biggest value? (a) -13 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3561 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 189*n**2. Let v(a) = -17*a**2. Calculate v(u(s)).\nAnswer: -607257*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479903881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -1034, -3264, -7586, -14696?\nAnswer: -25290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3724 and 1047508.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 209 in -3, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -402, -3061, -10324, -24501, -47902?\n\"Answer: -385*q**3 + 8*q**2 + 12*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26140354 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/145 and 169\/10980.\nAnswer: 318420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16167*q + 28. Let p(z) = 5391*z - 10. Give -17*p(m) - 6*t(m).\nAnswer: 5355*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82.3 - 127.45. Let f = c - -44. Let d = f - -8.45. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -676.5? (a) -2 (b) -17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222 is divided by 1067.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41352 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211426153 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727426 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1500266285628 - 0.17.\nAnswer: -1500266285628.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6588 - -6676. Suppose -l + 3*z - 21 = -2*l, 3*z = -15. What is the remainder when s is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1365451414 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:11 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-15))\/((-40)\/(-300)). Solve -3*n - 18 = -5*r, -4*n = -r - i*n + 2 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 4 + 4)*(-27310843 + 5198*f + 27310843).\nAnswer: -10396*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 = s + 2*o, -s + 3*o + 1844 = 4*s. Suppose 0 = -364*m + s*m. Solve m = -6*x + 3*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 781274.6 kilometers?\nAnswer: 781274600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174603183?\nAnswer: 3, 1451, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*v + 428*v + 16 = -3*j, v + 4 = 3*j. Solve -2*m + j*t = -3*m + 17, 0 = -2*t + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41698997 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/(10\/15). Sort -3, -0.1, m, -2 in descending order.\nAnswer: m, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*f = -417, 5*d + 0*f - f = 671. Let k = -3917\/29 + d. What is the closest to -1 in k, -0.5, -0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7505022 is divided by 302?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 - 9*o**3 + 41*o**3 - 20*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/21 - 202*l**3\/21 + 1744*l**2\/7 + 9812*l. Factor n(w).\nAnswer: -4*(w - 8)*(w + 109)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/6)\/(y**(-15)\/y) assuming y is positive.\nAnswer: y**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -24*n. Let y(o) be the second derivative of 0*o**3 + 0 - 1\/12*o**4 + 0*o**2 + o. Calculate y(u(p)).\nAnswer: -576*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 0.63. Let m = n - -0.97. Let f = 0.1 + 0.4. What is the biggest value in -2, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*y - 4340, 4*q - y - 6802 = 1869. Calculate the remainder when q is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**2 + p - 19*p**2 + 1 + 0*p - p**3. Suppose -2 = -2*a, 0 = y + y - 4*a + 14. What is h(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 125619.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i. Let q(o) = 3*o**2 + o - 1. Let n(l) = 22*l**2 + 12*l - 10. Let t(v) = n(v) - 12*q(v). Determine j(t(k)).\nAnswer: 42*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = 4*r - 1, -r + 1 = -3*w. Let q(g) = -10*g + 5. Let d(x) = -5*x + 2. Let m(a) = -5*d(a) + 2*q(a). Determine m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*s - 276*s + 11913 = 0. Does 57 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10193.51 + -10256. Let g = -63 - d. Let x = 0.01 + g. What is the second biggest value in x, 2\/21, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 + -150.877. Let n = -0.937 - h. What is n rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*x + 32 + 161 - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543425293 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302259398?\nAnswer: 2, 7, 109, 198073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v + 2907*v**2 + 847*v**2.\nAnswer: 3754*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2*u + 72368. Suppose 5*n + 0*a = -4*a + 18116, -5*n + 2*a = -u. List the prime factors of n\/55 + 2\/11.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197739, 395479, 593219?\nAnswer: 790959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.007? (a) 4 (b) -4 (c) -1 (d) -0.1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -9, -5\/3, -0.3, 9, 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a + 3*a - 6*a. Let f(v) = 26*v. Give i(f(w)).\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5145.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 402a (base 11) to base 15\nAnswer: 18c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25710.\nAnswer: 2, 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1308 - 1304. What is the third smallest value in h, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2664458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-564)\/(-141).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-70) - ((-68)\/(-42) - 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 1506*a - 60456.\nAnswer: -3*(a + 44)*(a + 458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -110, -144, -180, -218, -258?\n\"Answer: -z**2 - 31*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180188, -360486, -540786, -721088, -901392, -1081698?\nAnswer: -1262006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a - 1. Let v be 3\/(6\/(-4)) - -1. Let x be q(v). Let b(d) = -5*d - 4 + x - d. Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3054043303 - -5?\nAnswer: -3054043254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-90)*(3 + -6) - -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5740 and 68460.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -189?\nAnswer: 4\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67535.577 - 67478. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/9, -3, -2\/11, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 34*g**2 + 2*g. What is the tens digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = -8. Suppose -2*j - 4*i + 16 = -0*j, 0 = 5*j + 2*i - s. Find l, given that -4*l**4 - 2*l**2 - 5*l**5 + 2*l**4 - 6*l**j - 9*l**3 - 4*l**4 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:18 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Suppose -20 = k + 4*o, 0 = k + 3*k + 5*o + 36. Let u(f) = f - 2. Let y(v) = k*x(v) + 3*u(v). What is y(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 bigger than 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -224, -285, -408, -617, -936, -1389?\n\"Answer: -4*g**3 - 7*g**2 - 12*g - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-36)*3*-24. Let v = 10 - q. Suppose 7 = v*d + 1. Solve 16 = -y - d*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -13, -71, -4 in descending order.\nAnswer: -4, -13, -17, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*i**5*y + 3123*i**2*y**2 + 802*i*y**2 - 258*i wrt i.\nAnswer: -800*i**3*y + 6246*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*c**2 - 68*c**2 + 7*c**5 - 28*c**5)*(0 - 3 - 1).\nAnswer: 84*c**5 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11825442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.7 (b) -6 (c) -7.5 (d) -3\/4 (e) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 - -1269. Does 36 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 97\/5?\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 + -6 + 4\/2. Let y be ((3\/2)\/(-1))\/(d\/8). Suppose -2*i - y*n + 3029 = 843, -2*i = -2*n - 2204. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/10 + 3*r**4\/8 - r**3 - 28*r**2. Factor b(p).\nAnswer: 3*(p + 2)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 1. Let k be s(1). Let o = k - 4. Suppose -6 + 0 = -o*y. Is y at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 370.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89619, 179249, 268877, 358503?\nAnswer: 448127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1035 + -2?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1694 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 806 = 3*v - 10*l, v - 272 = 2*l. What is the greatest common factor of 55 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, 44, 3853?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f**2 + 18*f**2 - 7*f**2 + 33*f + 53. List the prime factors of j(23).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(-1*sqrt(5)) - -1*sqrt(432)*6)**2.\nAnswer: 14283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096923.\nAnswer: 3, 365641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.936 - -17.8. Let s = 0.064 - g. What is the closest to -2 in -1, -4, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1491, -3592, -6303, -9624, -13555, -18096?\n\"Answer: -305*s**2 - 1186*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7*h + 7 - 6)*(-53 + 28 - 19) + 2 - 3*h + 4*h - 3*h.\nAnswer: 306*h + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-2)\/(-10) - (-292)\/2920)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 43. Suppose 2*o = 3 + 17. Let y = 10 - o. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4800800 divided by -11296.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 20. Let b be g(-19). Let l = b - -46. Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**2*x + m**2 - 11*m*x - 343*x wrt m.\nAnswer: -16*m*x + 2*m - 11*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:39 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -126. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 750 + 15 = 0. Let x = t - 6. Calculate the remainder when 52 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 17*a + 7*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/160 - 41907\/35)\/((-14)\/343). What is the highest common factor of 70 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*m + 31 = 0, 2*o - 6*m = -2*m + 28. Put 5, 3, o, 0.2 in decreasing order.\nAnswer: 5, o, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*t = 18, 0*j = -4*j + t. Does 7 divide (-4)\/16*(j + -123)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 n when four letters picked without replacement from unynnueuynnmn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 10. Suppose 0 = -l*h - 20. Is h != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*-0.09.\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/(sqrt(36)\/(sqrt(4)*-3)))\/((sqrt(72) - (-4*(sqrt(72) - (2*sqrt(72) - sqrt(72) - sqrt(72))) + sqrt(72)) - sqrt(72))\/sqrt(8)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 - 0) - (1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let d(h) = h + 76. Let w(k) = k + 60. Let s(x) = 4*d(x) - 5*w(x). Determine s(u) - v(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 223665?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (665\/190)\/(105\/36).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -787, -1559, -2323, -3079?\n\"Answer: 4*x**2 - 784*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14117430 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*k**4 - 18316*k**3 + 105576*k**2 + 127444*k + 24976 = 0. What is k?\nAnswer: -4\/5, -1\/4, 7, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -125, 2 in ascending order.\nAnswer: -125, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times -35.2?\nAnswer: -1724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 136563247 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/3 - (-9 - -15). Suppose c - 1 = -2*h + 5, -5*c - 2*h = -y. Solve -d = -c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 9. Let r(q) = -q**3 - 3*q**2 + q + 2. Let k be r(g). Let y = -193 - -4438\/23. Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(2\/(-25))\/((-32)\/(-320)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13175 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(-7))\/(2\/(-6)). Let t(k) be the first derivative of -18*k**2 + 10*k - 502. Let w(d) = -7*d + 2. Determine g*t(z) - 16*w(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27766 and -1.613664.\nAnswer: -27767.613664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 509 and 3135818696.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 4*h - 28, 0 = u + 2*h - 52. What is the greatest common divisor of u and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 7*p + 4. Let a(h) = -h**3 + 5*h**2 - 4*h + 3. Let v be a(4). Suppose 3*w = -3*y + 9, -2*y + 5 = -v*y. Is 6 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15774146611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3291 - -3371. Solve 65*g - y*g + 30 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60*1)\/(42\/63). Suppose -4*c = 3*h - 404 - 250, 5*h = -2*c + 320. Calculate the greatest common divisor of z and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.81 + 0.81. Let d = -1036.994 - -1110.994376. Let b = o + d. Round b to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -10. Suppose 3*m - 46 - 53 = p. Suppose -m = 2*q - 43. Solve -q*t - 9 = -29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:05 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43998+5\nAnswer: 44003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1040)\/(-3250))\/((-8)\/(-20)) + (-224)\/(-20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 12*j + 13. Let u be f(-11). Suppose 2*c = 2*s - 3*c + 15, -5*c = -15. Let t(k) = 0 + s + k**u. Let g(m) = m. Give g(t(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88512545.000795 + -88512301. Let s = v - 244. Round s to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -2*p - 89. What is the units digit of p\/(-15) + (-2)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 8. Suppose -5*n - 4*w + 103 = -2*w, -3*w + g = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:43 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9224.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + -6 + (14 - 12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2623 - 2548 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 25*b - 60. What is the remainder when 614 is divided by c(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.21 - 1.41. Let m = i + -27. Sort 3, m, 2\/5, -4.\nAnswer: -4, m, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1634242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 0*x**2 - 60*x**3 + 73*x**3 to b*x**2 + f*x + y + j*x**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -185000 rounded to the nearest one thousand?\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-58) - 1\/2. Let h = 1022 + -1002. Suppose 0 = -11*o + h*o. Do o and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -635 - -1114. Suppose 4*y - 289 = 3*w - 6*w, -5*w + l = 4*y. What is the remainder when w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:22 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7242696214.\nAnswer: 2, 13, 278565239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 19 + (20 - 50) + -4 + 75 + -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 + 8*a - 4. Let k be d(1). Are 3\/284 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179592 - 35*s + 25*s - 53*s + 179582.\nAnswer: -63*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*c - 2*g + 2090, 2*c - 1035 = -3*g. Let t = -509 + c. Calculate the greatest common factor of 1552 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-4)\/(24\/45). Suppose 0*s + 5*s - n = 0. Suppose s*r - 21 = -0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - -24 - -47) + 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 8. Let y(h) = 43*h. Calculate y(l(i)).\nAnswer: 86*i - 344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -225024 + 224889.093. Let i = -135 - j. Round i to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 58.80217 centuries?\nAnswer: 5880.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 1098, 2480, 4414?\nAnswer: 6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 2}. What is prob of picking 2 g and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-7))\/((-18)\/378). Suppose 3*w = 12*w - x. Let m(p) = 2*p**2 + 1. Let j be m(1). Solve w = 5*l - l + 2*k, 0 = j*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 77. Suppose 2*i + 4*g - 48 = 0, 4*i - 5*g = -0*i + u. Suppose 4*y + 5 = w - 7, i = 4*w. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3809 + -1047. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48721932 and 38281518.\nAnswer: 535941252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/3)\/(1\/27*3). Sort -5, 1\/3, n, 13 in descending order.\nAnswer: 13, n, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -12. Suppose -2*j = -10*j. Let w = 11 - 9. Solve -w*c + a = -j*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 13. Suppose -4 = 5*k + 1. Let j be k\/((-1)\/5*1). Let c be v(j). Solve 5*b - c*b = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 16*p**2 - 18*p - 6. Let m be i(-7). Let b = 25 - m. What is the least common multiple of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*y = -29, 3*s - 13 = 2*s - 4*y. Let r(v) = -s*v + 5*v + v**2. Let u(n) be the third derivative of -n**5\/30 + 74*n**2. Calculate u(r(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 30*p**3 - p + 3. Let z be f(1). Which is bigger: z or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1631.39 * -5857\nAnswer: 9555051.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2484 by 4.\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405431360*l**3 - 332604659 wrt l?\nAnswer: -1216294080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*w + 10*g - 572489, -3*w + 572490 = 3*g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + z + 1 - 3 = 0, 10 = 4*i + 3*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = 4*u, -u - 2*g = 3 - 1. Suppose u*z + 3*y = 6*y + 7, -9 = -z - 4*y. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24.8, 7491, -4, -3?\nAnswer: 7491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(13) - sqrt(1872))*-3 + 4)*-6)**2.\nAnswer: 16632*sqrt(13) + 511416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/469959 and -39.\nAnswer: 469959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -28*w + 3245. Determine p(121).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*o - 9193 = 1428*o + 4613 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 8*w**2 - 4*w - 5. Calculate the remainder when a(-5) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 + 59 + 64 + -144 - (5 - -93).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(66\/(-24)))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p**2 - 6 - 1 - 2 + p + 10 in the form s*p + z + b*p**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117) - (sqrt(13) - (-4*(sqrt(39)\/sqrt(3))**2 + sqrt(13) - sqrt(13)))) + sqrt(117)*-1 + sqrt(143)\/(sqrt(44)\/sqrt(4)).\nAnswer: -52 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*i**2 - 59*b**2 + 3*b*i**2 + 78*b wrt b.\nAnswer: -2*i**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b4b81a + 1?\nAnswer: -b4b819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116879 and 4?\nAnswer: 467516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30888852 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 3*h - 2*h)*(3 - 5 + 4) + 184*h - 104*h + 188*h + h + 1 - 1 to x + d*h and give d.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3018707.57031 plus 0.2?\nAnswer: -3018707.37031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 2. Let k be o(6). Let v = 20 + k. Let l be (1 - 1) + v\/2. Which is the biggest value? (a) 4 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -40*v**2 - 30*v - 44. Let a(f) = -f**2 + 6*f + 9 + f**2 + 8*f**2. Let t(l) = -14*a(l) - 3*h(l). Let p(r) = -r**2 - r - 1. Calculate 6*p(s) + t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(2\/40)\/(6348\/1380).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/15)\/(-5)*6. Sort 0, -13, 4, d in decreasing order.\nAnswer: 4, d, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p + 11. Let n be ((-22)\/12)\/(6*3\/72). Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 618*v**5 - 105833*v**4 - 12139*v**2 - 2*v + 201 wrt v?\nAnswer: 37080*v**2 - 2539992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 43)*(14\/(-6) + 1). What is the greatest common factor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/1806)\/((-2)\/(-428)) + -5.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-20\/9)*d*d**(-6)*d**(-3\/8) assuming d is positive.\nAnswer: d**(-347\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(70)\/sqrt(5))\/sqrt(2) + (sqrt(175) - (sqrt(175) + sqrt(175) + 4 + 3 + sqrt(175))).\nAnswer: -9*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 61740383?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*q - 8 = -9, -3 = o - q. Sort o, -3, -162 in decreasing order.\nAnswer: o, -3, -162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -10. Let q be (0 - 0)\/(4\/u). Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/(-98)*(-14)\/(-4). Solve -c + 16 = u*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(96) - (sqrt(96) - (sqrt(96) - sqrt(96)*-2)*-6))\/(sqrt(2) + ((sqrt(2)*-1 + sqrt(2))*5 - sqrt(2)) + sqrt(2) + sqrt(2)) + -4))**2.\nAnswer: 288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 143\/3. Let t be 41\/((-10332)\/200) + (-7)\/(49\/(-4)). Let w be (-1 + -4)*18\/(-30). What is the second smallest value in c, t, 0.2, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 599 and 43651526.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68990308700 rounded to the nearest one million?\nAnswer: -68990000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*n - 12, 5*n - 7*q - 45 = -2*q. Suppose k + n*k = -t + 984, -4893 = -5*t + 2*k. Suppose -6*h + 2543 = -t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 3*p - 1. Let t(v) = -21*v**2 + 8*v - 3. Determine -17*s(c) + 6*t(c).\nAnswer: -7*c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(2 + -3) - 0. Find p such that p**4 - p**2 - 2*p**4 - 3*p**3 + 9*p**5 - 2*p**c - 10*p**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/154)\/((-6)\/72)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47758 by 1037.\nAnswer: -47758\/1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z)**35)**(1\/14) assuming z is positive.\nAnswer: z**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k. Let r be u(-6). Let h = -14 + 16. Let a = r + h. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/11 and 40\/36792891?\nAnswer: 404721801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/30)\/(3\/10). Put -6, -3, d in decreasing order.\nAnswer: d, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19909 is divided by 6603.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -2 + (-2*sqrt(84))\/sqrt(12))**2 + 4 + (sqrt(7) + 1 - sqrt(7)) + 5.\nAnswer: 4*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*s + 46, -66 = -4*m - 5*s. Let u be (8\/6)\/(4\/6). Solve 3*g = n - m, 2*n + 2*n = -u*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*u - 135 = 0, -5*i = -2*u + u - 115. Let p be -10 + 9 - (-2)\/i. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1906840, -3813680, -5720520, -7627360, -9534200?\nAnswer: -11441040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 21*m**5\/5 + 22*m + 35. Differentiate b(k) with respect to k.\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 13, 18, 25, 34, 45, 58?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-1))\/((-4)\/320). Suppose -8*l + 4*l = -g. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41134, -44231, -47328, -50425, -53522?\n\"Answer: -3097*a - 38037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30003323 (base 5) to base 10.\nAnswer: 234838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -106 + 45?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165*s**4 + 434 wrt s?\nAnswer: -660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110 (base 2) to base 7.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9960613 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 + 4*n**2 + 11*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -8 in increasing order.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -1\/7, -2.17, 0?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9011.527ng to milligrams.\nAnswer: 0.009011527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (43\/((-645)\/90))\/(-1*2). Suppose z*w + 67 = 121. Calculate the lowest common multiple of w and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 57?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -5)*(0 + (-3)\/7). Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 1. Let s(z) = -41*z**2 + 7*z - 5. Determine s(l) + 5*x(l).\nAnswer: -46*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 5334*n\/5 - 447876.\nAnswer: -2*(n + 522)*(n + 2145)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -663, 1907 in decreasing order.\nAnswer: 1907, -6, -663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11658 + -11663. Which is the third biggest value? (a) -1\/3 (b) -4 (c) n (d) -1.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.4 + -23.4. What is the third biggest value in 11, w, 4, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266016?\nAnswer: 2, 39563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 3}. What is prob of sequence wm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.289 + 0.011. Let f = -4 + z. Which is the closest to 0? (a) 3\/4 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9527492 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31210 + -3?\nAnswer: 31201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -218679.686 - 0.14189?\nAnswer: -218679.82789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4651*u + 13. Let z(h) = -4653*h - 10. What is -4*m(t) - 5*z(t)?\nAnswer: 4661*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (3 - (-2 - -5)). Suppose h = 3*y - y - 8. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*x + 43 = 0, -4*w + x - 6*x + 150 = 0. Let n = w + -32. Suppose -n*f = -2*f - 35. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 11655908793298 + 11655908793298.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b - 13. Determine f(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*i - 41, 3*i - 20 = i - 2*r. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1\/3*p**3 + 5*p + 0 - 6*p**2. Does 5 divide x(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 0.1 (c) 3\/8 (d) -1 (e) 2\/11 (f) 117 (g) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 0. Suppose 0*y - 9 = w - 2*y, f = w + 3*y - 16. Let r be 5 - (-2 + w)*-2. Solve -4*z - r*o - 1 + 3 = 0, 3*z + 3*o - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-455*b + 543*b + 898*b)*(4*b**2 + 2*b + b - 4*b) as z + q*b**3 + g*b**2 + d*b and give q.\nAnswer: 3944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 353620*u + 353615.\nAnswer: 5*(u - 70723)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/4150)\/((-6)\/3*-2).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22\/55 - 7\/(140\/(-41592))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -12. Let l = -2 - g. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - 5615?\nAnswer: -5656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/168 and -67\/2408.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7826 - -8019. Calculate the remainder when b is divided by 86.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 58 - 171 = 28*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 - 2*x - 2*x**4 - 91 - 2*x**2 + 165 - 113 to d*x + o*x**3 + i + r*x**4 + y*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11211012 (base 3) to base 15\nAnswer: -1095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Let k = -3 + g. Let y = 29 - k. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35543960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:04 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-27))\/((14\/(-4788))\/(23\/(-92))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-90) - (-5 + 62\/(-15)). Which is the nearest to i? (a) 0.4 (b) 0.2 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 20*v**2 + 300912*v - 1324400 = 0?\nAnswer: -15050, 22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13464 and 1232.\nAnswer: 188496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5. Let i(l) = 2*l**2 + 7*l + 4. Let c be i(-4). Let m = 12 - c. Let t(q) = 2*q**2 + 11. Calculate m*t(h) + 9*w(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-3)\/(18\/(-3)))\/((-5)\/15)*-230 and 4.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 0.01956?\nAnswer: 0.0013692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4105*f = -4584 + 158414 + 88365 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130541822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**4 - 334*x**3 - 2*x - 29. Let z(g) = -9*g**4 + 667*g**3 + 4*g + 58. Let o(f) = -7*r(f) - 4*z(f). Find the second derivative of o(i) wrt i.\nAnswer: 12*i**2 - 1980*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/4, -5\/4, -3\/28, 4\/5, 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - v - 4 - v + 4*v in the form l*v + j and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29234507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 645140 divided by -4?\nAnswer: -161285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 14 - 64 = -5*f, r + 254 = 23*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21269741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29747502 is divided by 160?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -732*p - 748*p + 1470*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 11*w = -138. Suppose 5*r + 20 = 0, 0*r = 3*f + 2*r - 1. Calculate the remainder when w is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1782, -2 in decreasing order.\nAnswer: 1782, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 - 17*v**2 + 47*v - 313. What is y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.256 + 0.026. Let w = l + -1.77. Suppose -2*u - 3*u + 10 = 0. What is the nearest to -0.3 in u, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 4 + 2*w**3 - 3*w + 1 in the form z*w + h + c*w**2 + n*w**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20311 (base 5) to base 15\nAnswer: -5db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 k when three letters picked without replacement from {k: 1, g: 2, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 330011.6 nanograms?\nAnswer: 0.0000000003300116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c, -171 = -5*b + 2*b + 2*c. Let i = b - 61. Let a(w) = 230625*w**2 - w - 4. Let g be a(i). Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 54*q**2 + 4*q + 3. List the prime factors of h(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18065.\nAnswer: 5, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16fda - 4?\nAnswer: -16fde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*t - 7 + 12, -2*w - 5 = 3*t. Find the second derivative of -19*f - 16*f**w + 0*f - 3*f**5 wrt f.\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 4*y, 0*l - 6 = -2*y + l. Solve 2*p - 30 = 4*b - 3*p, -13 = y*b + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 4, 23, -715, 0 in decreasing order.\nAnswer: 23, 4, 0, -4, -8, -715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -203230 (base 6) to base 3\nAnswer: -211100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x - 175. Give q(46).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 20*y**2 + 48*y + 89. Let g be c(-22). Let v(q) = 56*q**2 + 3*q - 3. What is v(g)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a - a)*(247 - 307 - 281).\nAnswer: 341*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjxlxxxlxxjlfx. Give prob of picking 2 f and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n + 4. Let t be q(-6). Let v be -2 + 2\/t*8. Suppose -2*z - 26738 = -v*m - 736, -z = 5*m - 64999. Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3252628397 to the nearest integer?\nAnswer: 57032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5152*m**5 - 12062*m**4\/3 + 1208*m**3\/3 - 8*m**2 = 0.\nAnswer: 0, 3\/112, 2\/23, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 19*a**2 + 61*a + 15. Is u(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from nrowvnj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*c - 15, 8 = -c - 3*j + 2*j. Let y = -30 + 21. Is y\/c*(-76)\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3719, -7379, -11037, -14693, -18347?\nAnswer: -21999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 5*f - 24\/5.\nAnswer: -(f - 24)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1558763 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1125) + sqrt(1125))*2*4)\/(-4*(sqrt(441) - (sqrt(441) - sqrt(441)*5) - sqrt(441))*-6).\nAnswer: 5*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1194 + -13176\/11. Let z = -723\/5 - -5256\/35. Calculate the common denominator of v and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*m = 8*r - 2, 0 = -5*r + 4*m + 28. Solve 0 = -3*s - 3*y + 24, 5*s + 0*y = -r*y + 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y - 23, 4*y - 12 = -4*w. Let j be (-4)\/w + 12\/8. Let i = 59.4 - 57.4. What is the nearest to j in 1\/2, i, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47465859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/2*(-258)\/(-36)*216\/(-288)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -540155 divided by -61\nAnswer: 8855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/(-110)*4\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12480, 24971, 37472, 49983, 62504?\nAnswer: 75035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26705*m*n**3 + 108*m - 3*n**3 - 3925*n**2 + n - 88 wrt m?\nAnswer: -26705*n**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-40)*(j*j\/(j\/(j\/(j\/(j\/(j*j**(1\/5)))*j))))\/j*j**(-2\/31))\/(j**(-5)\/j**(-4)*j**(-5)\/j**(1\/12)) assuming j is positive.\nAnswer: j**(-139837\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, 0.\nAnswer: -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6)*(-3494)\/(-2). Let p = n + -892. Find the common denominator of -93\/4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 28. Let k = b + 11. Determine h so that 40*h**2 + 40*h**2 - 15*h**3 + 16*h + 147*h**3 + 88*h**4 + 20*h**k = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 13*p - 8. Let q be a(0). Sort 5, q, -5 in descending order.\nAnswer: 5, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-16 - -24) - (74 - (18 - 9))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -925950.\nAnswer: -29\/925950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 148 = -4*b. Suppose n = 5*n - b. Solve 83*d**4 - 160*d**n + 2*d**2 - 4*d**3 + 79*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2 + 5*j + 8. Let q be u(7). Let t be 2\/q + (-3519)\/(-27). Suppose 9*d - t = 4*d. What is the remainder when 77 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 - 4*h - 5. Let u(v) = 5*v**2 + v - 1. Let r(k) = -k - 1. Let w be r(-2). Let p be u(w). Let f be 2\/2*p*1. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 3*c**2 - 2*c)*(1 + 3*c**2 - 1) + 15 - 15 + 3*c**4 to h*c + j + r*c**3 + z*c**2 + y*c**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 1:38 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96664 and 0.4.\nAnswer: 38665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10156921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1693\/276 - -5\/23. Find the common denominator of j and 83\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (4\/25)\/(22\/(-330)). Which is the closest to -1? (a) 0 (b) z (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + sqrt(384)\/sqrt(4) - sqrt(6)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 112008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:50 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8600 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r**3 - 21*r**3 - 24*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*d - 2511*i + 2508*i, 7*i = -2*d - 25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - 9.79. Let n = -61 - w. Let b = n + 51.00057. Round b to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1082 + 151?\nAnswer: -c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158119, 316227, 474335?\nAnswer: 632443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 3*i**2 - 3*i**2. Let o = -1 + 7. Let p(r) = -5*r - 5*r - 2*r + o*r. Determine d(p(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) - ((-25)\/10 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.54 + -5.04. Let u = r - -4.1. Which is the biggest value? (a) 0.1 (b) 5 (c) u (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79243\/8 + -9918. Find the common denominator of (-8 - -1)\/(52\/6) and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(7\/(-2))*14. Calculate the common denominator of -97\/22 and 51\/(-7)*x\/16.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1, 8\/7, -1\/2?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*w**3 - 2*g**3*w + 20506*g**2*w**2 - 8003*g*w**3 wrt w.\nAnswer: -24*g**3 - 48018*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-30)*2 - -6. Which is smaller: r or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 10*x**4\/9 + 18086*x**3\/9 + 545196*x**2 + 40260480*x - 16191552 = 0.\nAnswer: -1497, -156, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 1576446897 - 1576446897 - 15*m + 4*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 7. Let f(m) = m**2 - 6*m + 1. What is the smallest common multiple of 12 and f(z)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12198, 4, 2, 5, 1 in increasing order.\nAnswer: 1, 2, 4, 5, 12198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 8*c - 3*z + 19, 2*z = -4*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 407203 - 407203 - 43*h.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(441)\/sqrt(7)) - -4*sqrt(1700)*2)**2.\nAnswer: 987377\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.064947?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6 + 4 + 8 + 3*y. Let k(i) = i + 1. Calculate c(o) - 5*k(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 55*t - 55. Let c(r) = -r - 1. Suppose -4*k - 866 + 75 = 89. Give k*c(i) + 4*g(i).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/1407 and -47\/4623?\nAnswer: 32361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 6*q**4 - 1 - 4*q**4 + 26*q**3 + 2 - 28*q**3 in the form d*q + r*q**3 + o*q**4 + b*q**2 + i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.8, 4, -0.2, 510, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654.7514kg to micrograms.\nAnswer: 654751400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-6))\/(3\/(-9)). Let v be 27*(-24)\/(-306) + -2. What is the closest to -2 in v, u, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196.48 + 195.66984. What is a rounded to 2 dps?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26c68 (base 13) in base 7?\nAnswer: 421063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14025508, 28051006, 42076504?\n\"Answer: 14025498*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462564759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1*3\/(-21)). Suppose 3*a - x = 20. Calculate the lowest common multiple of a and 10 - (-3)\/((-9)\/6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.24707 * 2.\nAnswer: -20.49414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 403392956*k + 12291*k**2 - 403392956*k in the form r*k + s + a*k**2 and give a.\nAnswer: 12291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5162212 months to decades.\nAnswer: 0.02096851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 801, -10\/99, -0.1, 1.7 in ascending order.\nAnswer: -10\/99, -0.1, 1.7, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541155 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 6 + 6. Suppose 5*f = g + 829, o*g = 2*f + 2*f - 672. Suppose -123 - f = -4*c - 2*a, 3*a = -c + 77. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*n**3 - 18\/5 - 14\/5*n**2 - 6*n = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59190 - 49289 = -y + 5*u, 0 = -y - 4*u + 108515. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - s + 193, 3*j - 3*s + 195 = 5*j. Let i = j - 71. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 0 + (-1665 - -1702)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 709 + 1.24.\nAnswer: 710.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2)*(-4)\/(156\/(-1)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1812 not equal to -1785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 - 2*g**5 + 3*g**5 - 2*g**5 - 3*g**5 + 3*g**5 + (-g**5 + g**4 - g**4)*(-4 + 0 + 3) + 0*g**5 - 2*g**5 - g**5 + g**5 + g - g.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/(-5))\/5)\/(12\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 31. What is the units digit of (-379)\/(-3) + z\/(-12) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 3, -2.3, 3\/8, 52?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -9) + 20 + -27 - -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13824 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 2*a - 3*a)*(0*a + 4*a - 10*a + 8) in the form l*a + m + g*a**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**8\/4032 - l**7\/5040 + l**5\/10 - 5*l**2. Let q(s) be the third derivative of c(s). Give q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 - i**3 + 0*i**4 + 8*i**2 + 0*i**2 - 3*i**4 as b*i + c*i**4 + z*i**3 + k*i**2 + w and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:35 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppazppwsa. Give prob of sequence wp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4299.784 litres?\nAnswer: 4299784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45364 divided by -11341?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3155210668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36, 0.16, -1\/32, -8, -2\/3 in descending order.\nAnswer: 36, 5, 0.16, -1\/32, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5246367 (base 9) to base 8\nAnswer: 12550721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63432, 63449, 63468, 63489?\n\"Answer: n**2 + 14*n + 63417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2942 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -20*o - 7*o. Solve o = 5*m + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 1. Suppose -u = 1 - 3. Let k(t) = -3 + u*t**3 - 2*t - 2*t**2 - 3*t**3 - t + 2*t**3. Let w(d) = -k(d) + 5*s(d). Give w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 1. Let m be j(1). Suppose 0 = m*i + 34 - 109. Suppose 3*a - 21 = 3*y, 48 + 7 = 5*a + 5*y. What is the remainder when i is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-8 - (-2550)\/230).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -1979?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.9032 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/5, 3, 8, 107, 18, -19\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**4 - 1 - 6*b**2 - 2 - 1. Let n(f) = -18*f - 40. Let l be n(-2). Let o(x) = 2*x**4 - 7*x**2 - 5. Let u(m) = l*o(m) + 5*v(m). Factor u(p).\nAnswer: 2*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 68 = -x, -2*m = -0*m - x - 42. Let z(l) = -l**3 + l**2 + l + 41. What is the remainder when z(0) is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -12. Let x be (-3)\/34*2*-1. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -9, -4, -6.\nAnswer: -9, -6, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 116*g - 2. Let y be n(-1). Let j = -72 - y. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -3. Let t = -5 + 8. Let i(l) = 2*l**2 + l + 2. What is the remainder when i(t) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204120 and 192500?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159559.7407 + -33.2593. Let p = x - -159592.810086. Let o = 0.19 + p. Round o to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008826 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 2. Suppose -5*g - 65 = -55. Determine s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 8*v**2 - 4. Let c be q(8). Let g be ((-14)\/c)\/((-2)\/(-28)). Suppose -4*r + 5*n = -g - 39, -3*r = 3*n - 93. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419499 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 279?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -382*(5\/(-2) - -2). Let y be s + 4\/2 + -1. Suppose 5*f = 4*k - 211, -3*k + 2*f = 5*f - y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/13 - 218*n\/13 + 969864\/13 = 0 for n.\nAnswer: -753, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -17. Let y = 13 + c. Suppose i = -y*i - 2*a + 8040004, 8 = 4*a. What is i rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -21\/2, 30, -1, -5, -3 in decreasing order.\nAnswer: 30, 1\/5, -1, -3, -5, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/19)\/(50\/5). Let b = a - 2\/19. Let j be (-30)\/18 + (-1 - -2). What is the nearest to 21 in b, j, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4 - 7033*n**3 - 1200497*n**2 - 2379899*n - 1186434 = 0?\nAnswer: -6858, -173, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by -8.\nAnswer: 71\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -48 + 5\/3*p**3 + 0*p**2 + p - 45\/4*p**4. Find the third derivative of q(v) wrt v.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -25. Suppose r*n - 47 = -b - b, -3*n - 3*b + 30 = 0. Let w = 4 + n. What is the remainder when 25 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 506 - 24*k + 256)*(4 + 3*k - 1 + 0*k).\nAnswer: -72*k**2 - 54*k + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:15 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*p + 51. What is the closest to 2\/11 in 1\/2, -3, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-24 + 24 + 34)*(-d + 2*d - 3*d).\nAnswer: -136*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1957 - 1957 - 8594*g**2.\nAnswer: -8594*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*r + 266*r**2 - 138*r**2 - 136*r**2 - 57*r.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3302, 6612, 9948, 13322, 16746, 20232, 23792, 27438?\n\"Answer: 2*z**3 + z**2 + 3293*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 289*x - 21. Let r(g) = -g**2 + 96*g - 6. Calculate 2*j(d) - 7*r(d).\nAnswer: 3*d**2 - 94*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 + 277 = 9*n. Let v(g) = -10*g + 107*g + 5 + n*g. Is v(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -304, 2\/19, 0.2839?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + -686. Let p = j - -752.83. What is p rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231393845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 973216627\/3 smaller than 324405543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23827159 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*f = -90*f - 330*f + 341. Solve 14 = x + 5*c + 3, f = 3*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15.77, 550 in descending order.\nAnswer: 550, 15.77, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/37)*z)*z**(-2\/15))**(-5) assuming z is positive.\nAnswer: z**(659\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17843838?\nAnswer: 2, 3, 83, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1\/5*i**5 - 2\/105*i**7 - 2\/3*i**4 + 1\/15*i**6 - 8\/3*i**3 + 0*i - 11*i**2 + 0. What is z in h(z) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51553086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.01 (b) -11.3 (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 12 = -2*j + 2*i, i - 6 = -5*j. Calculate the greatest common factor of 8 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/15 + y**4 + 58*y**3\/3 - 3*y**2 + 20*y. Differentiate w(i) wrt i.\nAnswer: -8*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2883\/71 < -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 16*d - 1108191 = 3*t, -3*d + 3*t + 3324591 = 0. What is d rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u + 2. Let w be p(-2). Suppose -3*v - 60 = v. Is (-1 + w)*(v + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 677920 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1082*-4.6169\nAnswer: -4995.4858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(891) + -2 + (-2*sqrt(891)*-1 - sqrt(891))**2 + (sqrt(1584) - sqrt(1584)*-2)\/(4*sqrt(4)*2).\nAnswer: 45*sqrt(11)\/4 + 888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 82.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 1.3.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from booboboooboooboooo. Give prob of sequence obbo.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 + 3 - 12)) + (18 - 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2756.336 rounded to 0 decimal places?\nAnswer: -2756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253403 + -178024. What are the prime factors of d?\nAnswer: 43, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6054182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {e: 4, a: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -77\/2 greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 418, 834, 1250, 1666, 2082?\n\"Answer: 416*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -122138?\nAnswer: -12212a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2*g + 5*g)*(-250 - 158 - 111)*(-2*g**2 + 2*g**2 - g**2) - g**2 + 3*g**2 + 0*g**2 + g**3 in the form b*g**3 + u*g**2 + d*g + s and give b.\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 2142.\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -993 divided by -8?\nAnswer: 993\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -0.353\nAnswer: -2.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028520 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, z: 2, h: 2, i: 2, b: 1}. What is prob of sequence no?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -284203614.7 and 0.1.\nAnswer: -284203614.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/20*(-2)\/(-24)*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 + 5468345*k - 27341850 = 0.\nAnswer: -1093674, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16121210, -32242421, -48363632?\n\"Answer: -16121211*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**2 - r + 8 - 9*r**2 - 9*r**2. What is the remainder when 12 is divided by d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-71.\nAnswer: -35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 - z**4\/8 + 2*z**3\/3 + 19*z**2. Factor v(g).\nAnswer: -(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*k + 2*k + 2, 4*l + 3*k = 6. Suppose l*q - 10 = -2*q. Which is the second biggest value? (a) q (b) 1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -181, -818, -1899, -3424, -5393, -7806, -10663?\n\"Answer: -222*u**2 + 29*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 679546, -4, -54 in increasing order.\nAnswer: -54, -5, -4, 679546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-8)\/(-14)) - (-9)\/6. Suppose 0 = -4*r + 2*g + 8, -5*g = r - 4*g - k. Which is bigger: 50\/21 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06591 - -0.09591. Suppose -5 = -2*j + d, -5*d = 37 - 12. Let a be j\/(-2) + 2\/(-9). Sort a, g, 3\/5 in decreasing order.\nAnswer: 3\/5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-1*sqrt(192)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1944 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5122210 (base 6) to base 11.\nAnswer: 157492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 314 + 2354?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - 2. Let h be ((-28)\/(-8))\/((-2)\/4). Let t(k) = -k**2 - 11*k + 1. Calculate the remainder when t(h) is divided by n(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -3847 - 6593. Let y = -1231 - n. List the prime factors of y.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose -83*q = -70*q - 52. Solve 20 = q*t - 4*a, -n*t - 2*t = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106690.\nAnswer: 2, 3, 5, 70223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 65*g = 67*g - 5929. What is the greatest common factor of g and 7693?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 76233648.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4386937782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/363, 1\/7, -3949, -3 in decreasing order.\nAnswer: 5, 1\/7, 2\/363, -3, -3949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/107548 and 33\/3220.\nAnswer: 537740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 - 20 - 89 = 23*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 15034\nAnswer: -210476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1900073 and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539) + sqrt(1539))**2 + 4.\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14. Suppose -j + 100900 + 4100 = l. What is j rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3 + 2 + 64*b**2 - 83*b**2 - 6 + 3. Let j(f) be the first derivative of -2*f**3\/3 + 1. What is j(s(m))?\nAnswer: -722*m**4 + 152*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3672502 and 9338?\nAnswer: 25707514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.8 + -1.8. Let i = x - 3. Which is the nearest to i? (a) -0.5 (b) 2\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453258073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from qgqqggggggg.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3*h - 5*i, -3*h + 2*i + 50 = 3*i. Suppose 3*k = 57 + h. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 13\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9073 + -9053. Which is the fourth smallest value? (a) r (b) -8\/11 (c) -0.4 (d) 3\/2 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 22*r**2 - 2345*r + 22162. Calculate i(96).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/88*(-1264)\/(-1975)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498491, 498490, 498489, 498488?\nAnswer: 498487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1526, -3043, -4558, -6071, -7582?\n\"Answer: t**2 - 1520*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1, -20 in increasing order.\nAnswer: -20, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/13)*b*b\/b**(1\/13) assuming b is positive.\nAnswer: b**(21\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63090973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116834 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:56 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 64, 2, -45, -7?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4167955, -75, 1 in decreasing order.\nAnswer: 1, -75, -4167955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6184454 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 - i. Let q(d) = -d - 1. Let u be q(-4). Suppose 0 = -3*y - u. Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 - 6*y**2 + 4*y**2 + (-3*y + 0*y + 5*y)*(4*y - 2*y + 0*y) - 317*y**2 - 247*y**2 - 518*y**2.\nAnswer: -1085*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23a89 (base 13) to base 4\nAnswer: 33333230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x\/(x**7*x*x)*x)**38 assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:45 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-5)\/10. Which is the second biggest value? (a) -1\/2 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*((-140)\/20)\/(-7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291367383 to the nearest integer?\nAnswer: 35936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5762*y**3 - 3*y - 1771 wrt y?\nAnswer: -17286*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -9. Let l(x) = 25 - 67 + 39. Let t(i) = -i - 4. What is c*l(g) + 2*t(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 56 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 14*m**2 - 13*m - 16. Determine h(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 15\/(-90)*-30. Let n(m) = 25*m**3 + 50*m**2 - 50*m. Let c(d) = d**2 - d. Give a*n(t) + 50*c(t).\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -31. Suppose 0 = -2*p + 2*f - 4*f - 14, -p = -3*f - 5. Calculate the lowest common multiple of 4 and p + -3 + d + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 778 - 1553\/2. Suppose -4*u + 3 = w - 8, u = -w - 1. Which is the closest to -1? (a) 2 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 18*z**3 + 4*z**2 - 355*z**3.\nAnswer: -337*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 26*n - 674 = d, 66*n = -4*d + 70*n + 108 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 3. Let g(k) = 16*k + 16. Calculate -2*g(v) + 11*l(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 11*a - 8. Let r be c(-12). Suppose 0 = -4*m - 8 - r. Let o be (m\/(-6))\/(3\/2). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4788147*h**3 + 8*h**2 - 11*h - 5528?\nAnswer: 28728882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:44 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 26*p**2 - p - 28*p**2. Let b(c) = -5*c. Calculate b(w(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/285 and 53\/17910.\nAnswer: 340290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -507, 655, 2597, 5319, 8821?\n\"Answer: 390*u**2 - 8*u - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -110011?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 5*n. Let v be o(-5). Let l(j) = j**2 + j + 15. Is l(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.68 + 0.78. Let y = b - 0.02. What is the nearest to -1\/4 in 1\/8, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d**2 + 884 + 36*d**2 + 33*d**2.\nAnswer: 2*d**2 + 884","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 885288\/(-630) - (-80)\/50. Let a = 1404 + s. Suppose -2\/21*n**5 + 0 - 8\/7*n**2 - a*n - 26\/21*n**3 - 4\/7*n**4 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120167356 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 24*z = 105 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5805280718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybydmmyndmdydzdzzz. What is prob of picking 1 m and 3 d?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 7 - 7 + (2*k + k - 4*k)*(-k**2 + 2*k - 2*k) + (3*k - 3*k - 2*k**2)*(-k + 2*k + 0*k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24558364, -24558351, -24558338?\nAnswer: -24558325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxoosohoswss. Give prob of sequence usx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 5) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = 4*r - 2, n = -r + 1. Which is smaller: n or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/21 + 532*l**3\/3 - 3706*l**2\/7 - 22308*l\/7 = 0. What is l?\nAnswer: -3, 0, 6, 1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/(j*j**(4\/5)))\/(j**0*j*j)**(3\/10) assuming j is positive.\nAnswer: j**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 4*h + 1. Let z be v(5). Let a be (-1)\/4 - (-28355)\/(-20). Let o be -3 + z\/(-4) + a. What is o rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -0*k + 5*k - 4*h, -5*k - 5*h + 110 = 0. Let g = k + -14. Let a(v) = -34*v**3 + 2*v**2 + 2*v + 1. What is the remainder when a(-1) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/3, 3, 0.08, 2, -2\/17.\nAnswer: -28\/3, -2\/17, 0.08, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*r - 34 = 0, 0*r = -4*i + 3*r + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6\/5, 16, -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -80, -79, -78, -77?\n\"Answer: a - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 22 = p, 2*u = -0*u + 10. Let m(h) be the second derivative of -p*h - h + 2*h**3 - 5*h**3 + 2*h**3. Let y(r) = 2*r**2. Give y(m(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180328 to the power of 1\/2, to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 116, 2, 1, -30 in ascending order.\nAnswer: -30, 1, 2, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvc when three letters picked without replacement from vvvvvvvvvvvvvvvvccvv.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 32*t - 33. Calculate q(-28).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3147*q - 887448. What is o(282)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - n + 3*n = -2, 0 = -4*p + 5*n - 47. Let a be 2 + p\/2 - -4. What is the third derivative of m**a - 2*m**6 - 3*m**2 + 3*m**6 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -700, -1031, -1360, -1687?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -10, -2\/3, -22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 0. Suppose i = -4*w + 11 + 17. Let m(c) = -204*c + 1449. Let g be m(7). Calculate the highest common divisor of w and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*3\/(-10)*(-100)\/(-700).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1354948 and 434.\nAnswer: 1354948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.571067774 to 2 dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29\/6 - 4\/(-24). Solve -4*l = -3 - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2037)\/(-802) - (-200)\/(-80). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 161\/3. Which is greater: r or -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24262098*c**4*z - 7785*c**2*z + 40*c**2 + 5*c*z wrt c?\nAnswer: 582290352*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1888 by 6.\nAnswer: 944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199*-115.\nAnswer: 22885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9007\/10 in -0.1, -0.5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1841\/4 - -16417\/36. What is the common denominator of 71\/18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.55208635 take away 0.8?\nAnswer: -15.35208635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 162?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 + 7*g - 4. Let t(y) = -2 + y - 3*y**2 - 4*y + 4. Let s(d) = -3*d - 1. Let r be s(-2). What is r*t(z) + 2*n(z)?\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by -3.\nAnswer: 244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let f(j) = -16*j - 1. Let a(z) = 11*d(z) - 2*f(z). Let m be a(-2). Solve m*r + 9 = 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -75. Suppose -4*b - 2*z = -2*b - 30, 5*b - 3*z = 43. What is the highest common divisor of b and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68063873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 230 - 155. Suppose -650 = 3*f - 5*g, 5*f = 4*g + s - 1141. List the prime factors of f\/(-9)*(-27)\/(-24)*4.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4*(-4)\/(-3). Let x be (-1 + (-4)\/(-4))\/(-3 - -6). Solve -2\/3*p**f + 1\/3*p**4 + 0*p**3 + 1\/3 + x*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 56 = 4*m. Let u = -9 + m. Solve 0 = -v + u*b + 5 - 3, 0 = -3*v + 2*b + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2. Let i(w) = -1638*w + 78. Let r(g) = 327*g - 15. Let f(s) = 5*i(s) + 26*r(s). What is j(f(d))?\nAnswer: -194688*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5965, -11929, -17893?\n\"Answer: -5964*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbqeqih. What is prob of sequence xh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 147\/43 (b) -2\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33583*k**4 + 18146*k wrt k?\nAnswer: 402996*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2767638 - 2?\nAnswer: 2767636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.288761 millimeters to nanometers.\nAnswer: 3288761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6*3*2. Let v = -0.414 - -5.414. Do o and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583261346 to the nearest integer?\nAnswer: 24151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 7}. What is prob of sequence lll?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/216 and -83\/126?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68, -146, -224, -302, -380?\n\"Answer: -78*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 622 + -621. Let g be 1*3 + (-174)\/60. What is the second biggest value in 5, -5\/2, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-78)\/5 - -11) + 4\/(-10). Let j be (5\/(-125)*p)\/(18\/20). Which is the fourth smallest value? (a) -1\/2 (b) j (c) 8 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*f - 219, -4*f + 8*f - 5*z = 201. Let y = 64 - f. Solve y*q - 5*q = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.96 - -6.96. Is -7\/47 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let w(r) be the first derivative of 51 - 27*r + r + r**2 - 96 + 48. Determine h(w(b)).\nAnswer: -4*b**2 + 104*b - 676","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 15. Let k(t) be the third derivative of 0*t + 0*t**3 - 27*t**2 + 0 - 1\/12*t**4. What is a(k(b))?\nAnswer: 4*b + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3638064 and 3792?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q + 2218 = y - 52*q, -11122 = -5*y - 3*q. What is the remainder when y is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.127 + -0.127. Suppose 2*j + 6 = -0*j. What is the second biggest value in j, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 3, -1 in ascending order.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 13827 - 3*h**3 + 9839 - 368*h**2 - 7300*h - h**3 - 784*h - 5994 = 0?\nAnswer: -47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -0.2, 0.3, -13\/170, 0.5.\nAnswer: -109, -0.2, -13\/170, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 105 - 123 = 0. Let f be (-25 - -1)\/(p + 1). Solve -6*d + 6 = -f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrap when four letters picked without replacement from {r: 2, c: 1, a: 11, p: 1}?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -270563 smaller than -270570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -23.00000017. Round h to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/27 and (-5)\/(50\/(-112))*(-9)\/(-54).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1428 - -92818\/65. Let a = k + -116\/455. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(sqrt(52)\/sqrt(4))**2 + -4 + 3)*6.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -5 (b) 3 (c) 0.11 (d) 0 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -3 (c) -2\/3 (d) 28.4 (e) 5\/6 (f) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 7*h**2 - 142*h - 532. What is k(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102133 - -24104010?\nAnswer: 24001322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let v(p) = 2*p**2 + p - 52. What is 2*k(b) + 2*v(b)?\nAnswer: 4*b**2 - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjnnmnnmnnjn. Give prob of picking 2 j and 1 m.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:09 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = 0. Suppose -4*m = -o*a + a, -4*m + 3*a = -16. Solve 0*p = -p - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16876 - 1330 = -766*b - 14906 - 17040 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 25 = 4*x + 3*u, -3*u + 15 = 2*x. Suppose -3*s + 2*t = 6*t - 2940, x = -t + 3. Let p = -685 + s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -573, -1, -4, -0.4, -10.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-749 + 1) + 4. Calculate the least common multiple of 50 and j\/192 - 10\/(-4).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 9 + 4*g**2 - 5*g**2 + 7*g - 12*g. Let s be r(-6). Let u be 340197\/9 - 1\/s. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*i**2*l*m - 6260*b*i*l*m - 5757*b*l + i**2*l*m + 2219*i**2*l + 20*i**2*m + 9*l*m + m wrt b.\nAnswer: i**2*l*m - 6260*i*l*m - 5757*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.68 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1657*b**2 + 1120*b**2 - 6433*b**2 - 5434*b**2 - 7582*b**2 in the form x + p*b + c*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -1186, -2596, -4546?\nAnswer: -7036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c - 885 + 1987 = 0 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -9. Suppose -k - l = -0*k. Let p be 6*3\/k*-20. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:16 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 5*l**3 - l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -62?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -22857909 and -0.021.\nAnswer: -22857909.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + (-133 - -81 - (-2 - 20 - -5)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63614816 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 1 + 1)*(-d + 10*d + 6*d) + (10*d - 5 - 22 - 8*d)*(-1 - 2*d + 1) - 3*d**2 + 3*d**2 + d**2 as w*d + g*d**2 + q and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 11 in decreasing order.\nAnswer: 11, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3 (b) 5\/3 (c) -0.1884\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 - 0) + 0)\/(-1). Let r = -348 - -351. Suppose 4*t - 2*y - 46 = 0, a = -t - t + r*y + 33. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (768\/112)\/(2\/14). Solve 13 = 7*l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -2. Suppose -a - a = -p + z, -2*p - 2*a = -34. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 2*q - 1. Let x be b(-4). Let r = x + 44. Suppose -5*w - r*i + 398 = 0, 2*i = -2*i + 4. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n - 2*y, 25 = n + 2*n - 5*y. Let h = 12 - 7. Suppose h*k - 5 = 5. Sort -4, n, k in ascending order.\nAnswer: -4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0964*-8.\nAnswer: 0.7712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - (-13 - (-40)\/3). Let z = 4.2 - 4. Let q = z + 0. What is the biggest value in q, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*1)\/(1*sqrt(363) + sqrt(3)))\/(-5*-2*(sqrt(98)*1 + sqrt(98))).\nAnswer: sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.252 minus 138309.11?\nAnswer: -138296.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddpddddpdpddddyydyd. Give prob of picking 3 p and 1 d.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 1, z: 1, m: 3, p: 8, j: 2}. Give prob of sequence pwpm.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/13 + 2546936*t**3\/13 + 810944418044*t**2\/13 + 4116462387576*t + 67918109222106 = 0 for t.\nAnswer: -636701, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-22)\/(-121) - (-159)\/33. Suppose -r - 781 = -c*l + 2729, -3*r = 3*l - 2124. List the prime factors of l.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h + 3338. Let w(b) = 9*b + 1669. Determine 4*p(y) - 7*w(y).\nAnswer: y + 1669","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11020651*u + 1000 = 11020676*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*(-41)\/123?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 28696?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/9 + (7 - 138\/18).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)\/n*n)**(10\/9)\/(n**(-3))**(-29) assuming n is positive.\nAnswer: n**(-251\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:42 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 607 (base 12) to base 5\nAnswer: 11441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -236a230?\nAnswer: 236a230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/264 + 1340\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381321 by -4.\nAnswer: -381321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*j + 638 - 14. Let u be (-152)\/(-10) + 1\/(-5). Let q = u + j. Calculate the remainder when 62 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2917*g + 90423 = 26249 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 1 - 3*i + 0*i**2 - 5*i + 4. Determine q(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049880 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4725.5*-0.0057\nAnswer: -26.93535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -20*s**3\/3 - 6*s**2 + 8*s - 10. Let n(g) = -7*g**2 - 4*g + 3. Let w(o) = -3*m(o) + 8*n(o). Factor w(b).\nAnswer: 4*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*d - 3 = 0, q = -q - 4*d - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030 and 305248534?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470722.\nAnswer: 2, 7, 33623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/1456 and -55 + 48 + 11058\/1568?\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 354 = 344, 0 = b + 17*q - 97 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeee. Give prob of picking 1 q and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fph when three letters picked without replacement from {b: 2, p: 2, f: 9, h: 1, d: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*h - 10, -2*i = 3*h + 2*i + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u - 144 = -45*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 56. Calculate the greatest common divisor of 130 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 31. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 162*p**5\/7 - 2844*p**4 + 521582*p**3\/7 - 1382092*p**2\/7 + 926400*p\/7 - 183744\/7 = 0?\nAnswer: 4\/9, 2, 33, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/15)*c)*c)\/(c**(-5)\/c)*c\/c**(3\/2)*c**3*(c**(2\/19)*c**(-1\/13))**(-22) assuming c is positive.\nAnswer: c**(57377\/7410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 108*q**4 - 3 + q**2 - 105*q**4 + 6 + 311*q**4 - 19*q**3 - 102*q**4 to i*q**3 + v*q + f + k*q**4 + d*q**2 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 3*l**3 - 6*l**3 + (-2*l**3 + 1 - 1)*(-12 + 1 - 2) - 6*l**3 + 28 - 28 - l**3 - 4*l**3 + 4*l**3 as x*l**3 + k + v*l**2 + f*l and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:53 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 55 = -650. Let o = j - 443. Suppose c - 5*c - a = -346, 3*c = -2*a + o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/64 - (3\/(-2) + 2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59686008 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14671 is divided by 6482?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6235 (base 8) to base 5\nAnswer: 100404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 13*m + 2. Let i be o(-1). Suppose 3*d + 0*d - 36 = 0. Let u = i + d. Let f(h) = h**2 - 2. Determine f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-364)*(-15428)\/(-19285)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202*l - 217?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 5*o - 9. Give c(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961396259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuzzuzuuuuuuu. Give prob of sequence zz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 1437*h + 1439*h - 5*h**3 + 3*h**2 + 4*h**3 as w + n*h**3 + s*h + a*h**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {y: 2, o: 3, r: 3, n: 3, z: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211 + 9464 - y - 2836 + 4678.\nAnswer: -y + 12517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12962043 is divided by 2313?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22524182258*v**3\/5 - 4369692207036*v**2\/5 - 164702904*v\/5 - 1552\/5 = 0 for v.\nAnswer: -194, -2\/106123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9861 divided by -3.\nAnswer: 3287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -57*a**2 - 959*a + 1920. Determine b(2).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 29673372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -627.1 + 627. Let s = -12 + 8. What is the closest to -1\/2 in -0.3, s, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 2. Calculate h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.214 and 126.\nAnswer: 26.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -1)*(939\/315 + -3). Let g = -61\/3381 + 164957\/67620. Let p = g - y. Find the common denominator of p and -63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898978310 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*g**5 - 397407*g**2 - 2*g**5 + 397423*g**2 + 3028*g wrt g.\nAnswer: -1000*g**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 26 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76.49164 litres?\nAnswer: 76491.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y - 39. Determine m(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61981712.\nAnswer: 2, 13, 297989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2\/(-2*1). Suppose -4*k + 4*r + r = 61, 5*k - d*r = -72. What is the units digit of (0 - k)*2\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:12 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwiwqwiqqqywqwxw. What is prob of sequence qiwy?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38314 and -0.16?\nAnswer: -6130.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -475 + 509. Which is bigger: 21 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -1\/6, -0.1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*d**2 - 95*d**2 + 722*d**2.\nAnswer: 525*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 4*d**2 + d - 1. Let z be o(-4). Suppose -4*w = -3*f + 58, f + 5*w = -5 - 1. Let q = z + f. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9*r + 30. Solve -r*w = 1 + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 782702 divided by -5\nAnswer: -782702\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 16*a**2 + 3*a - 27. Let n be i(8). Put 5, 12, n in ascending order.\nAnswer: n, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35057*s**2 + 3 + 70134*s**2 - 35061*s**2 + s**3 to z*s + q*s**3 + h + x*s**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -v + 4*c, 2*v - 5*c = 5*v - 229. Let b = 173 - v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 9*z + 17*z + 41.\nAnswer: -z + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:11 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.1 + -2.1. Let r = -38 + h. Is r equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6470012 = -5*n - 5*l + l, n + l = -1294003. Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*-17*47\/(-3196)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -52. Let w(s) = s**2 - s - 3. What is w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5476088 or 5476087?\nAnswer: 5476088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137 and 13299001.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 1.6. Let p = 0.06 + -4.06. Which is the nearest to q? (a) p (b) -3\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/2 - (6 + -4). Suppose 3*v - 5*p = -4*p + 5, -5*v = -5*p - c. Solve 0*u - 3*u - 9 = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/20)\/(6\/(-59740)). Let h = 2499 + i. Let k = 623\/5 + -881\/10. What is the common denominator of h and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/9*-3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*v + 66. Let g = -11 + v. Solve -g = -i + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20160 + 1?\nAnswer: -2015b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (322\/140)\/23*(-68)\/17*65\/8?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 3875 = -2270 - 5930. What is the smallest common multiple of 115 and v?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 + 9*g + 20. Let a be (-4)\/(-12) + ((-203)\/3)\/(-7). What is b(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2)*j)**(36\/11)*(j**(-4))**(-1\/3) assuming j is positive.\nAnswer: j**(152\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 3 + 8*s + 3 + 22*s - 3*s**2.\nAnswer: -s**2 + 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-180936)\/(-441) - (-4)\/42*-3.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from iiimjijiii.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 10*y + 45 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:19 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46293 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose r*d + 60 = 12*d. Let s(t) = -t + 5. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - 1\/((-2)\/70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*m + 4*m - 6, -3*q + 3*m + 6 = 0. Suppose 6*v - 11*v = -10. Find the second derivative of 3*j - v*j**q + 0*j**2 + 0*j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:29 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -8085, -2 in decreasing order.\nAnswer: 0, -2, -3, -8085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 0*u + u)*(-3*u + 2*u - u) - 2*u**2 + 7*u**2 - 3*u**2)*(-7*u**2 + 2*u**2 + 3*u**2)*(2*u + 4 - 4).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*x**2 - 2\/3*x**3 + 0 + 16\/3*x = 0. What is x?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -28501, -2 in ascending order.\nAnswer: -28501, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 45 = 5*x. Let b be (-1 - (-77)\/x)\/2. Is b less than or equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60051255 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-2700) - (-269)\/(-18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - i - i. Let y(s) be the first derivative of s**2\/2 + 5. Calculate y(r(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*i - 44 = 7*i, -5*i - 68 = -3*f. Let g be (15\/(-4))\/(-5) + f\/(-24). Let r = 0.4 - 0.3. Which is bigger: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28305.09 millimeters to centimeters.\nAnswer: 2830.509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, -0.2, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -631917 less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynv when three letters picked without replacement from {v: 1, i: 1, n: 1, u: 1, m: 2, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123022 - 1?\nAnswer: -123023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a - 105. Let t be w(10). Solve 15 = -0*h + 2*h + t*x, 4*x = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 + 7 + 10)*(2*w**4 - 2*w**3 + 2*w**2 + 2*w**3).\nAnswer: 194*w**4 + 194*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*g - 4*h + 13177, -2*g - 4*h = 8818. Let a = -1622 - g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1669, 1680, 1687, 1684, 1665, 1624?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(153\/(-18))*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.3 - 1.3. Let o = 23887.6 - 23877.6007. Let n = o - q. Round n to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*w + 4 = 1638 + 2260 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*n - n + 534, f - 890 = -5*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1271.7746 and -3.\nAnswer: 1268.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5154 (base 9) in base 16?\nAnswer: -ebf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 4, 24, 3\/5, 2\/321?\nAnswer: 2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 363224 to the nearest one thousand.\nAnswer: 363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 2. Let x(h) = -h**3 + h**2 - 1. Let k be x(-1). Let v be y(k). Let q(i) = -i**3 - 2*i**2 + 3*i + 1. Calculate q(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 25\/3, 5, 0.03, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15444.52 rounded to the nearest 100?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(13514663*4)\/(-4). Let h = o + -9514663. What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5308152147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 68*d**2 - 12*d + 13. Determine k(23).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2*i**2 + 44*i - 164. Give h(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 14*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-4)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvmvvv. What is prob of sequence vvv?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 36. Let a = 21 - f. Calculate the least common multiple of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c + 29*c - 83*c + 2 + 34*c.\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + m + 1. Let c(i) = 54*i + 19*i + 4*i + 5 - i**2 - 26*i. Let t(j) = -c(j) + 5*k(j). Find the second derivative of t(v) wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 118.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -350 + 368. Suppose v - k + 9 = 5*v, 2*v - c = 4*k. Suppose -2*f + 8 = 3*o, 0*o - o - f + 4 = 0. Solve o = 2*x - 2*r, x - 6 = -v*r - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133260 (base 7) to base 2.\nAnswer: -110001001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/25 - (-176)\/180. Which is the third biggest value? (a) w (b) -4\/7 (c) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*n = 82*n - 275. Suppose -3*o + 41 = 5*v, 5*o - 6*v - n = -v. What is the highest common factor of 228 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 11)*(2 - 4\/(-8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121022121 + 12?\nAnswer: -121022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 862769.2 years?\nAnswer: 8627.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 + 12*g**2 - 9*g - 1. Let w(z) = -z**3 - z - 1. Let u(k) = n(k) - w(k). Let b(o) be the second derivative of u(o). Differentiate b(a) wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**4 + 174*n**3 - 3417*n**2 + 11688*n - 4140 = 0 for n.\nAnswer: -23, 2\/5, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2700 and 38400?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(153))**2*-1 + (-2*sqrt(153) + 0)**2.\nAnswer: -6*sqrt(17) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 2*f**2 - 32*f - 32 = 0. Calculate f.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2 - 4*r**2 + 2 - 5*r. Let u = -16 - -18. Let y(b) = -4*b - b**2 - 5*b**u - 2*b - 2*b. What is -8*k(c) + 5*y(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 183, 0.6, 1\/2, 3 in ascending order.\nAnswer: -3\/4, 1\/2, 0.6, 3, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.54 less than 10308312?\nAnswer: 10308334.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9263116 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 85 = 2*v. Let d = 93 + v. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 7. Let f be j(-5). Let g = f + -2. Suppose -22*p = -115 - 83. Solve 5*v + y - 9 = g, 4*v + y - p = 2*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108) + -1)*4)**2 + ((sqrt(108) + -1 + -4)**2 + sqrt(108) - (sqrt(108) + 0 + -3 + sqrt(108))) + 5.\nAnswer: 126*sqrt(3) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (246\/9)\/((-4)\/(-6)). Suppose d = q + 47. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9715 + -9712.99952. Let v = q + -2. Round v to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065934?\nAnswer: 2, 13, 181, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150574489*b**2 - 47955297*b?\nAnswer: 301148978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67999 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 735 by 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 6.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565a8 (base 12) in base 7?\nAnswer: 3043301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 21*v - 1720 = 0. Suppose -5*g + 40 - v = 0. Which is bigger: g or -36?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11554002 to the nearest 10000.\nAnswer: 11550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10425288 greater than -135528730\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*z - 168*z - 22187. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -435323?\nAnswer: -9\/435323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44996427.\nAnswer: 3, 7, 19, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/95, 1\/3, 80.\nAnswer: -1\/95, 1\/3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*u + 3\/7*u**3 - 44\/7*u**2.\nAnswer: u*(u - 14)*(3*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8966323 and 18499.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 z when four letters picked without replacement from xzzxx?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3696 - -7230. Let m = -2491 + a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -364.8 + 367.8. What is the closest to -0.1 in x, -3\/4, -100?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 15)*17\/85. Suppose -3*y - 13 = -5*a, -2 = -5*a - q*y + 5. Let 2\/5*x + 2\/5*x**a - 4\/5 = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:15 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - n + 1. Let d be p(1). Suppose -9 = -0*q + d*q. Let h(b) = 2 - 9*b + 4*b - 3 - 3. Give h(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -80. Suppose -5*f = -4*r + 407, -5*f + 95 + 13 = r. Let s = r - x. Is 23 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6684161 is divided by 1626.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**2. Let n(f) = 15*f - 20. Let x(q) = q - 2. Let m(i) = -3*n(i) + 30*x(i). What is j(m(k))?\nAnswer: 2250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1477.2 - 241.2. Let x = s - 1235.7022. Let g = -0.3 + x. Round g to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*o = 207015, 0*o = z + 5*o - 206985. What is z rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100.7 and -165161.\nAnswer: -16631712.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 24331.2 to the nearest 100.\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1200 = -r. Let m = r - -395. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1984 + 1958 - 52*z**2 + 1952 - 5894.\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*b + 32. Let r = b + 28. Let u be r - (-12)\/(-3) - -1369. Round u to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24002021 and 1654.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2622872 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224127, 223865, 223427, 222813?\nAnswer: 222023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/2 - 0)*-1. Which is the closest to -13? (a) -1\/6 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2\/(-2)) - -5. Let a be 20\/(-2) - (1 - 4). Let c = a - -10. Solve v + 2 = 3*l, -g*v + c*l + 2 = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 5*o - 4*s, -s - 63 = o - 4*o. Suppose -2*c + 3*k + o = 0, 0*c + 2*c + 2 = -3*k. What is the lowest common multiple of c and (-2)\/8 - 65\/(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 24*q**2 + 6*q + 5. Let o be i(6). Suppose -5*m - 1337 = -3*g - 3647, 2*m - o = 5*g. Let d = 676 - m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -7. Suppose -w*f = -6*f - 8. Let y be (-4)\/6 - (-51)\/9. Solve f = -c + y*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -1) + (-339 - -344)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-3)\/(3\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 3. Let t be l(-2). Solve 0*h - 10 = -2*v - 4*h, 5*v = -4*h + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*s = 3016 + 1666 + 3830 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:50 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.33 in 0.4, -2, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 1 + -1 + sqrt(2448) + 0 + -5)*6 + (sqrt(119)\/(-3*sqrt(28)) - (-3 + sqrt(833)*-1)))**2.\nAnswer: -8145*sqrt(17) + 13949669\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, p: 1, a: 10, c: 4}. Give prob of sequence sccs.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 18. Let j(v) = 14*v - 48. Let n be ((-24)\/12)\/((-2)\/11). Let c(t) = n*q(t) - 4*j(t). What is c(10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 = f - x, 23 = 3*f + 4*x. Find the first derivative of 0 - 22*o - 13 + 1 + f wrt o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - (1 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 - 3*n**2 - 195*n - 4. Let g(i) = -11*i**3 + 8*i**2 + 585*i + 12. Determine 3*g(h) + 8*t(h).\nAnswer: -h**3 + 195*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*t - 38463 = -794*t + 377 + 33664 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 4. Let o be g(-6). Calculate the greatest common divisor of 80 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (14\/(-6))\/(1\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2334251 - -11541?\nAnswer: -2322310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjjjpjpjjjjjjjjjpjj. Give prob of picking 2 j and 2 p.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71535056 - 0?\nAnswer: -71535056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o - 152*o + 4992 = 56*o - 223*o for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -459 - -589. Let f be i\/(-39)*(-3)\/5. Solve -h = 3*n - 6*n - 14, f*n = 3*h - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055414 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2312450\/297 + -7786. Put 2, -2\/17, u in ascending order.\nAnswer: -2\/17, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 146310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1620\/407?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 175984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -3*2*sqrt(3) + 3).\nAnswer: -12*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*b**3 + 102*b**3 + 226*b**3 - 390*b**3 + 102*b**3.\nAnswer: 164*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 12) in base 7?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 2*w - 5*b + 5, 3*w - 24 = 25*b - 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4587, -18469, -41611, -74013?\n\"Answer: -4630*j**2 + 8*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 2258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -200021122 (base 3) in base 16?\nAnswer: -3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -8, -2, 1451?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:29 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*y**2 - 236*y**2 - 188*y**2 + 213*y**2 + 1 in the form p*y + s*y**2 + l and give s.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -360*h**2 - 201*h + 8. Let d(t) = -t**2 + 2. Let a(q) = -4*d(q) + g(q). Find the second derivative of a(k) wrt k.\nAnswer: -712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -5, -9852.\nAnswer: -9852, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/3 - (7 + (-114)\/42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) 10 (c) 0.08 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + v - 1. Suppose 15 = 5*d - d + 3*t, -8 = -2*d - 2*t. Let k(u) = -2*u + d - 5 + 4 - 9*u**2. Let h be -1*(-1 + 2*7). What is h*m(f) - 6*k(f)?\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3880146 - -17?\nAnswer: -3880128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080636 is divided by 18008?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586756754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 586153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 279, 419, 559, 699?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - -69. Let o = i - 108.9. Is o less than 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9 and -10.054.\nAnswer: -10.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5428537 + -1376537. Round a to the nearest ten thousand.\nAnswer: 4050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*x - 70. Suppose 6*a - 76 + x = 0. What is the second smallest value in a, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*y + 208 + 224 = 0, -2*y = -3*z + 411. What are the prime factors of z?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 25. Suppose -m = 5*b - 138. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/2002*14)\/(4\/26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.6, 95, 0, -0.62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.8. Suppose 0 = 3*r + 11 + 4. Let n(c) = c**3 + 6*c**2 + 4*c - 5. Let q be n(r). Sort q, -3, k in increasing order.\nAnswer: -3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377 - 6?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 2*z**2 + 2*z**2)*(-z - z + 3*z) - 1 - 18530*z**3 - 1 + 18566*z**3.\nAnswer: 35*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x + 27*x - 100*x + 33*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let r be x(10). Let f = r - -10. Solve 13 = -2*b + m, -4*b - 4*m + f + 3 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198*m*t**5 - 2*m*t**2 + 50*m*t - 232*t**3*u - 5*t**2 + 84*t*u wrt t?\nAnswer: -11880*m*t**2 - 1392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let w(x) = -118*x. Give n(w(j)).\nAnswer: -354*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41143 from 0.06156.\nAnswer: -41142.93844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 5*n**2 + 2*n**2 + (4*n + 3*n - 6*n)*(-2 + 2 + 2*n))*(-139 - 679 - 6792) + n**2 - n**2 + 8*n**2 as p + f*n + o*n**2 and give o.\nAnswer: -7602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 + 2441*z + 12110. Give f(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 - 155.000134. What is d rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 - (-38)\/(-6). Let z(x) = -x**3 - 8*x**2 - 6*x + 7. Let k be z(y). Factor 2\/3*f**5 + 0*f**4 + k*f**2 + 0 + 0*f - 2\/3*f**3.\nAnswer: 2*f**3*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.093 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 19*b**2 + 33*b - 182. Let g be x(-18). Which is smaller: g or -450?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.45 - -0.05. Let j = 30.1 - 29.6. Which is the second biggest value? (a) j (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.7563m in micrometers?\nAnswer: 947756300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 2. Let b(a) = a + 0*a - 2*a - 71 + 69. Give -5*b(v) + 4*t(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y + 25. Let h(i) = -23*i - 38. Calculate 3*h(p) + 7*w(p).\nAnswer: 8*p + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015805 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 + -236. Which is the nearest to o? (a) -3\/2 (b) 0 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498 and 4066.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270330, -270338, -270358, -270396, -270458, -270550, -270678?\nAnswer: -270848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2. Let q(g) = 349*g. Determine q(l(w)).\nAnswer: -1047*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5733 = -110*v - 5293 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.94 - -56.94. Which is smaller: l or -4182?\nAnswer: -4182","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {w: 7, h: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(sqrt(80) + 4) + sqrt(80))**2 + -4)*3.\nAnswer: -192*sqrt(5) - 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 289413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-20)\/(-32))\/((-3)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**2 + 23*a - 28. Let g(d) = -13*d**2 + 34*d - 41. Calculate -7*f(q) + 5*g(q).\nAnswer: -2*q**2 + 9*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprppprbpbp. What is prob of picking 1 r and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, 1\/3, -1\/449 in descending order.\nAnswer: 1\/3, 0.2, -1\/449, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + (sqrt(245) + 0)*3))*3 + (4*(sqrt(40)\/sqrt(8) + sqrt(5)) - sqrt(180)*-1))**2.\nAnswer: 12005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180569918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40292123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 11463 in ascending order.\nAnswer: -1, 3, 11463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*o + 281*o - 62*o + 1 - 45*o - 44*o - 1.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.819 + 0.181. Which is the third biggest value? (a) 129 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49009430?\nAnswer: 2, 5, 4900943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = -0. Suppose -d*o = -12 + 2. Suppose -u - u + 12 = 4*k, k - 13 = o*u. Let n(q) = -q**2 + 5*q + 1. Determine n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 0*x - x - 2*x + 5*x - x + (-x + 0 + 0)*(0 - 1 + 2) + 0*x + 3*x - 2*x + 3 - 3 + x - 2*x + 68 + 84 - 37.\nAnswer: 2*x + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -93.54?\nAnswer: -93.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-7)*(-28)\/6. Let i(d) be the first derivative of -1\/20*d**r + 1 + 0*d**3 + 0*d + 0*d**2. Determine z so that i(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 4*z + 15. Suppose o - 5*y + 4 = 5*o, 0 = 4*o + z*y - 4. What is the tens digit of (0 + o)*3 - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 14*w - 4*w + 108 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 9*f - 3*f. Suppose 0 = -19*a + f*a - 24. Suppose 182 = 19*z - 6*z. Calculate the remainder when z is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w + 92*w = 5*z + 13, z - w + 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihy when three letters picked without replacement from hiillylyihll?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 123*a**2 + 888*a + 768 = 0 for a.\nAnswer: -32, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((30 + -16)\/(-7)). Let h = -3.3 + 2.3. Which is the nearest to h? (a) -2 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155579737 bigger than -1089058168\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k - k)*(-4*k**4 + k**4 + k**4) + 2*k**5 + k**5 + 5*k**5 + 15*k - 4*k**5 - 15*k + (-2 + 1 - 1)*(-3*k**5 - 3*k**5 + 5*k**5).\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 19*c + 46. What is the remainder when k(15) is divided by 67?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573351 is divided by 190927.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**6\/810 - 41*o**5\/135 + 1681*o**4\/54 + 21*o**3 - 46*o. Let u(k) be the second derivative of a(k). Solve u(g) = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 391\nAnswer: 6\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (472\/(-16))\/(2\/4). Let d = -30 - a. Suppose 0 = -5*n - 3*x + 56, -n - 2*x = n - 24. Calculate the remainder when d is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -18063\/85?\nAnswer: -18063\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*c**3 - 685*c**3 + 385*c**3.\nAnswer: -493*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a = -5*p - 510, -3*p + 2*a - 306 = 0. Let x be 2 + (-392)\/4 - -55*(-2)\/22. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-12\/5))**(-6) assuming z is positive.\nAnswer: z**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/9 (b) -214 (c) -1\/442 (d) -0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19208375819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8 + 14. Which is the biggest value? (a) y (b) 2\/9 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 12 + 1 + (-10 - -3) - 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 810340.3l?\nAnswer: 810340300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 124 = f, -3*f - 7*n + 372 = -3*n. Let b = 2350 + -2318. Calculate the remainder when f is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5157 = 5202. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u + 3*u)*(13 - 58 - 30) + (-24 - 46 + 8)*(2*u - u + u + 3*u - u - u + (-1 + 0 + 3)*(2*u - u + u)) as z + y*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17.6, 0.04, -2, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 + 4*v + 1. Let c = 27 - 19. Calculate the remainder when b(c) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381949 divided by -31?\nAnswer: -44579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 64 = -11*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*q**2 - 31*q + 116?\nAnswer: 8*q - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5\/5 - 1024*j**4\/5 + 98304*j**3\/5 - 4194304*j**2\/5 + 67108864*j\/5.\nAnswer: 4*j*(j - 64)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 3)*(0 + 0 + 1) + (2 - 3 - 1)*(-1 + 0 + 0))*(-15*z**2 + 13*z**2 - 28*z**2 + (3 - 3 - 2*z)*(-2*z + z + 3*z)).\nAnswer: -102*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113 + -1520?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 13. Let f be a(9). Suppose q + 24 = 4*q + 3*s, 2*q - 26 = -4*s. What is the third derivative of u**5 + 5*u**5 + 3*u**2 - u**f - q*u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48488 - 42?\nAnswer: 48446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - h**2 - 1 + 7 + 2*h**3 - 2*h + 3 as r*h**3 + p*h + d + a*h**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 19*y**2 + 65*y + 69. Let g be d(22). What is the greatest common divisor of 235 and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Suppose 90 = -0*l + d*l. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 69857009 + 54\/((-48)\/8). Round q to the nearest one hundred thousand.\nAnswer: 69900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5770, 1, 5 in descending order.\nAnswer: 5770, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*4*-3. Suppose z = 4*b + 2*z - 28, 0 = u*b + 2*z - 24. What is the remainder when b is divided by 0 + ((-4)\/(-32))\/((-21)\/(-336))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (930\/120)\/(49\/(-196))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517 + 479 - 961)*(4*v**3 + 3*v**3 - 4*v**3)*(-4*v + 2*v - 9*v + v).\nAnswer: -1050*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/((-1288)\/385)*(-8)\/(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122.4 + -116. Let g = y + -7.4. Which is the fourth biggest value? (a) -1\/4 (b) -4\/11 (c) g (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -30. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - -60 - (0 - (-1 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -140*g**2 + 2*g - 3. Let s be u(1). Let x = s - -175. Calculate the remainder when 81 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -21. Let f = 316 + w. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30802 * -9.\nAnswer: 277218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 35025.06 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.95 - 70.95. Let l = 71 + d. Let u = 4.4 - 4. Which is the third biggest value? (a) -4 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28144195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141093, 141094, 141095, 141096, 141097, 141098?\nAnswer: 141099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 45 = -0*u + 4*u, u - 4*c = 0. Let j = -5 + u. Suppose 4234 = j*x - 3949. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u - 190 = -3*i, 4*i = -u - 61. Let b = -23 - u. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 9*b + 4. Let d be s(8). Suppose -d*g + 11*g + 29 = 0. What is the remainder when g is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 7*b - 3. Let d be g(6). Let q(a) be the first derivative of a**3\/3 + a**2\/2 - a + 2. List the prime factors of q(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6762756 and 176?\nAnswer: 27051024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2067*-6\nAnswer: -12402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18040738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -49427 smaller than -49455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1169*y**3 - 13*y**2 + 30*y + 13. Let q(w) = -292*w**3 - 3*w**2 + 7*w + 3. Calculate -6*g(s) + 26*q(s).\nAnswer: -578*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1115\/7 - (-22)\/(-77). Suppose 2*j - d = 29. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -17*q - 22. Let f = 503 + -506. Let z be w(f). Suppose -h + 4*b = -83 + 13, -4*b - 12 = 0. Calculate the highest common factor of h and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 28, 15, -10, 4, -0.4, -118?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/594 and 163\/15930.\nAnswer: 175230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 1.2. Let z = -1.3 + w. Let t be (-5)\/(50\/18) + 2. Put t, z, -2\/5 in increasing order.\nAnswer: -2\/5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0 - 1\/270*h**5 + 0*h + 0*h**4 + 11*h**2 + 1\/540*h**6 + 0*h**3. Determine m, given that a(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 105. Calculate the remainder when 40 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 40930 = -4*o, -z - 3*o + 20493 = 2*o. Let n = 31304 - z. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479986823?\nAnswer: 17, 113, 249863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112211200 + -111222022?\nAnswer: 2000212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697085 is divided by 882.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 6:02 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 27. Suppose -p*y + 451 = -3*z, z - 2*z + 265 = 3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q. Let v(l) be the second derivative of -119*l**4\/12 - 9264*l + 2. Calculate j(v(i)).\nAnswer: 833*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169433880 divided by -308.\nAnswer: -550110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -184 + 191. Suppose i*k + 27000 = 6*k. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -26*v**2 + 4*v - 5. Let w(u) = 27*u**2 - 5*u + 6. Calculate -6*d(a) - 5*w(a).\nAnswer: 21*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -30. List the prime factors of (1 + n\/(-9))*-57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 1:30 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymmyymmmmmm. Give prob of sequence yym.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 1\/4, 7, -16\/11507, 3, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddmmmdmdmdddd. What is prob of picking 2 m?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 2346205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8081 is divided by 4023.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 11*c + 12. Calculate y(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-9 - (23 - -8)) - 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 + -75. Let y = 96 - j. Let i be y\/78 + 4\/(-26). Solve 0 = 2*d + 5*m + 4, -d = i*m + 2*m + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2 + 2*k + 44351. Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 - 1049854*n\/5 - 1049856\/5.\nAnswer: 2*(n - 524928)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*h - 12, -4*d = h - 9*d - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108)\/14 + (-2)\/7. Let n = 1 + 0. Let q be n\/(((-6)\/j)\/3). Solve z = q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 16*x - 12. Let d = 21 + -15. Calculate the remainder when j(4) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/4)\/k)*k)**(24\/7)\/(k**(3\/4)*k**(1\/6)))\/((k*k\/k**(3\/8)*k)\/k**(-1))**(1\/2) assuming k is positive.\nAnswer: k**(2827\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -21129, -16 in ascending order.\nAnswer: -21129, -16, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 2*j**2 - 5*j - 4. Let h(n) = n**2 - 3*n - 11. Let r be h(-3). What is the tens digit of d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 33164*w**2. Let r(u) = -18*u**2. Determine i(r(x)).\nAnswer: 10745136*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 + 30*m**2 - 173)*(-m - m - 3*m)*(1 + 1 - 1).\nAnswer: -150*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, p: 12, l: 1}. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4430765t?\nAnswer: 443.0765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*c = 4*c, -5*j = -c - 18. Solve -2*h = j*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.91163 - 62.9. What is f rounded to 4 dps?\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103779749?\nAnswer: 23, 196181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21517 - 21505. Solve 59*q - d = 47*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 22*g**2 + 22*g - 390. Give k(-20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from dodcxvcvsdoxxdc?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -283426.878093 - -283427. Let s = -3 - -3.122. Let x = s - t. Round x to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**2\/2 - 1. Suppose -17 = -3*r - 11. Let l(s) = -5*s**2 + 2*s**r + s**2. Calculate l(n(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 1. Let t(b) be the first derivative of -b**5 + 9 - n - 12 - 34*b. What is the derivative of t(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 3*r, -3*j = -5*j + 5*r - 8. Let p be j - -1*(-2 + 4). Suppose 3*q = -2*b - 0*b + 7, -p = -3*q. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.9 + 19. Let x = 1 + t. Suppose -u + 4*c - 13 = 0, 0*c + 10 = -4*u + 2*c. What is the closest to 0 in -2\/3, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - 8*p - 10*p. Suppose -16*i + 14*i + 2064000 = p. Round i to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/42 and -87\/7898?\nAnswer: 165858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 172, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65260843 is divided by 7251202?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 20*f**2 - 2*f - 2. Determine q(15).\nAnswer: 1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5126463 or -5126465?\nAnswer: -5126465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**2 + 2*s**2 + 2*s**2)*(-1 + 0 + 0) - 2*s**2 + 5*s**2 - 4*s**2)*(5*s**3 - 3*s**3 + 9*s**3).\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 297157, 297160, 297163, 297166?\n\"Answer: 3*h + 297154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18ab + 13759?\nAnswer: 11a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 20 = 6*b - 5*b, 2*b - 2*j = -10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010111001000001 (base 2) to base 9.\nAnswer: -406788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**23\/((u\/(u\/(u\/(u**(-25)*u))))\/u)*(u**(-15)*u)\/(u*u*u\/u**(-8)) assuming u is positive.\nAnswer: u**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55922736 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - 3*z**3 + 25 + 1163*z**2 - 1143*z**2 + 4*z**3 as d*z**2 + s*z + l*z**3 + a and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/6, -2\/13, 4, 3, 1847?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 6:09 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 10*b + 7. Let t be l(8). Suppose 2*y = 5*g + 6*y + 1, 5*g = 2*y + t. What is the derivative of 0*r**g - 3 + 25 - 12*r**3 - 6 wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5586 divided by -3.\nAnswer: -1862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -163*m**4\/24 + 65*m**3\/6 - 16*m**2 - 4. Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 - 3*l**3 + 4*l**3)*(0 - 2 + 1)*(-3*l - l + 3*l)*(-1 + 7 - 2)*(-5 + 4 + 0) in the form x + v*l**2 + p*l**4 + m*l**3 + w*l and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2962 - -3179. Calculate the lowest common multiple of 91 and i.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006633758078 rounded to six dps?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/4 - 11*r**3\/3 - 4*r**2 + 24*r + 10. Let n be s(-10). Solve n*p - 4 = 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 - z - 5. Let p be l(-3). Solve -2*v + 5*b + 6 = -p, 0 = v - b - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -21. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n + 4*n - 31 - 110 - 18*n + 4*n**2 + 33 to s*n + g + j*n**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265524235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*v - r, 0 = -2*v + 1484*r - 1493*r - 37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -14. Solve i = 5*p + u - 3 - 3, 3*u = -3*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -16. Let r = -89 - -102. Suppose -9*b - o = -r*b. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b. Let g(a) = 4*a**2 + 33038*a - 3. Give g(s(x)).\nAnswer: 900*x**2 + 495570*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - 322. Let d = 89 - v. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-5 - -3) - (-660)\/154. Factor 4\/7*l + 2\/7*l**2 + f.\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 5 in ascending order.\nAnswer: -2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5585\/2329?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (105632\/56)\/(30\/84) - 2\/(-5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(613\/(-127504))*3\/4*-4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105513673.\nAnswer: 3, 89, 7885819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-539)\/2310)\/(348\/(-300)) - 1\/6*1?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 70 - 470. Suppose -4*q + s = -20. Solve n + 15 = 5*w, 0*w = -2*n - w + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m - 31*m - m**2 + 73*m - 11*m**2 + 11*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-4 + 8) + (-348348)\/(-42). What is the highest common divisor of t and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 29*s**7\/42 - 32*s**3\/3 - 9*s**2 - 3. Differentiate m(p) with respect to p.\nAnswer: 580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5172479 is divided by 1442.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(104)\/sqrt(8).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 25*n**5 + 105*n**4 + 45*n**3 - 145*n**2 - 30*n = 0.\nAnswer: -3, -2, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39893.018 + -39925. Let g = 32 + a. Round g to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 117. Sort 3, -10, -6, h in descending order.\nAnswer: 3, h, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -439.711.\nAnswer: -439.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*u**2 - 113*u**2 + 190*u + 315*u**2 + 87*u - 106*u**2 to f*u**2 + b + o*u and give o.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.103 + -0.003. Let l = -12.9 + f. Which is the second smallest value? (a) 2\/9 (b) l (c) 0.6 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a7e52 + 2?\nAnswer: -a7e50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*d - 1 + 0 + 20*d - 6*d + 6*d + 1 - 2*d - 1 + 2*d - 2*d - 2*d + (-3*d + d + d)*(3 - 2 + 1) + 0*d + 0*d - 2*d.\nAnswer: 10*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 8, 13 = -r + 179*w - 176*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 9*i**3 - 2*i**2 + 5*i + 7*i**3 + 0*i**2 - 4*i**3 to the form j*i**2 + l*i + v + a*i**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jokkrpp. Give prob of picking 2 p and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16749 + -7314. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*k**3 - 28*b**2*k**2 + 511*b + 2*k**3 wrt b.\nAnswer: -18*b*k**3 - 56*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -8 (b) -2\/3 (c) 23 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-27)*6\/1298. Let w be (2\/(-54))\/(316712\/(-9035076)). Let x = w + y. Find the common denominator of x and 11\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*t = -192*t + 25644850. What is t rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*s**4 - 257*s**4 + 114*s**4)*(-23 + 8 + 10)*(3*s - 3*s + 2*s).\nAnswer: -840*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 24. Let g be s(-8). List the prime factors of 3*(-28)\/g*(-8)\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 295 = -7*i. 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: What is 700 minutes before 1:13 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -101 in 1\/5, -1, 0.3, -21.4, -0.1?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-80)\/(-50))\/((24\/15)\/4). Solve -4*j - 22 = 5*c, -u*j + 4*c + 1 - 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74036729 take away 25.3?\nAnswer: -74036754.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 129110*c + 2323982. Give a(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 1, m: 7, j: 3, q: 2, y: 3}. Give prob of sequence yqmm.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7405 - 6274. Is -2\/11 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35035263 (base 7) in base 2?\nAnswer: 1011101101000000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g*g**(-2)*(g**(-1\/9)*g*g)\/(g**(1\/3)\/g))**(-30) assuming g is positive.\nAnswer: g**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18867 is divided by 2620.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 0.04 (c) 3\/4 (d) -3 (e) 49 (f) -2\/3 (g) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 + -482. Do -4 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18909 is divided by 701?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 430, -30, -2\/3, 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 67*v + 1597208 = 5718048. What are the prime factors of v?\nAnswer: 2, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 4*v. Let t be f(3). Is -1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 30*j - 138. Let h be c(-23). Solve 4*a = -3*n - h, 10*a - 6*a + 16 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -510.61 + 508. Let a = l - -3.2. Round a to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 33 = 13. Is 13 a factor of (-125)\/(-2) + i\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20350117\/1808900 - -2\/452225. Determine n so that -69\/2*n - 9\/4 - u*n**2 = 0.\nAnswer: -3, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 68 + 120 = 0. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 358 and -405.\nAnswer: -144990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 42*y)*(2 + 0 - 4).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 12*r**2 + 33*r + 57. What is q(13)?\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z**3 - 2*z**2 - 2*z + 1. Give c(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o - 4*j + 8 = 0, -5*j = 5. Calculate the smallest common multiple of 7 and (1 + (-14)\/o)*152\/(-20).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 19292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**2 + 6*n**2 + 2*n**2)*(2 - 1 - 2)*(-3*n**2 + 3*n**2 + 2*n**2) - 4*n + 4*n - n**4 to a*n + b + k*n**4 + s*n**2 + h*n**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 + 35100*k + 175625 = 0. Calculate k.\nAnswer: -5, 7025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*y - 2*y. Let s(p) = p**2 - 10*p + 2. Let f be s(y). Suppose 82 - 2 = f*n + 2*i, -i + 160 = 4*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:29 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6300*s - 6242*s + 30*s**3 - 3 + 12542*s.\nAnswer: 30*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 42936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2201380136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2\/5, -0.4, 3, 0.01188?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1000011011101101001 (base 2) to base 9\nAnswer: -461042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1845 = 4*i, 5*i = 5*c - 0*i - 1850. Let n = c - 360. Solve 0 = n*f + 65 - 80 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 46.6. Let n = -58.4 + u. Let c = n - -74. What is the biggest value in 0.4, c, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2 (c) -1\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a factor of 12420860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d + 17. What is the units digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Suppose -4*u = -r + 4, -y*u - 19 = -4*r - 3. Suppose u = j - 0*j - 141. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88\/5 + -17. Sort z, -2\/5, 0.3 in decreasing order.\nAnswer: z, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9194.5 and 0.4.\nAnswer: 9194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-76 - (-35 + 39))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1) + (-12 - (-1476)\/132). Determine d, given that -t*d + 0 + 2\/11*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14\/11 (b) 2\/7 (c) -8 (d) 159 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.149 - -0.851. Let s = 5\/4 - 7\/12. Put -5\/2, -3, s, p in increasing order.\nAnswer: -3, -5\/2, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-105))\/((1694\/(-1100))\/77)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-146139)\/(-9163) + -6 - 10 and 25\/1122.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3186*b - 2689*b**2 + 3186*b to the form a + q*b**2 + s*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 2*u - 2. Let x(z) = -48*z - 1822. Let j be x(-38). Let g(s) = -s - 1. What is j*v(q) - 4*g(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*p + 1691, 177*p - 175*p + 2*c - 1126 = 0. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 - 230\/3. Factor 10\/3*v**4 + 2\/3*v - 26\/3*v**3 - x + 6*v**2.\nAnswer: 2*(v - 1)**3*(5*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/8 + y**3\/3 - 5*y**2\/2 + 4*y. Let a(r) be the first derivative of p(r). What is the derivative of a(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-36117)\/9027 - -4). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2300 (base 6) to base 14.\nAnswer: -2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 19179.\nAnswer: -134253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 - 1) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101230295 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*g + 6085 + 50*g**2 + 66*g**2 - g**3 + 47*g**2 - 256*g**2 - 2095 wrt g.\nAnswer: -3*g**2 - 186*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -3456 in ascending order.\nAnswer: -3456, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 5*p - 26. Let b be u(-9). Suppose 79 = b*m - 91. Calculate the lowest common multiple of m and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 4*k - 3*k**2 - 2*k**2 + 8*k**2 in the form r*k**2 + h*k + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210285 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(38 - 38 - 11*a) - a + 10*a + 9*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1251 and 394938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -972, 0, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g - 44. Let m be f(4). Solve 4*h + 24 = 4*s, -s = -3*s + 4*h + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -534c47 (base 16) to base 3\nAnswer: -101021100100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00089136 rounded to 6 dps?\nAnswer: -0.000891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-218)\/(-9) - (-4)\/(-18). Suppose 0*l - 5*l = -4*n - 19, 3*l - 2*n - 11 = 0. Suppose -l*p + i = p. What is p rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 1 - 9. Let x(w) = -2*w**3 + 0*w**3 - 2*w - 6*w + 3*w**3 + 4 + 7*w**d. What is the remainder when x(-7) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16531 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -64. What is the nearest to l in 2\/13, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-14 - 21)) + -1 + (1 - -3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddggdgzzep. What is prob of sequence dpge?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 13*y + 95 - 49)*(117 + 318 + 145 - 45) as a*y + s and give a.\nAnswer: 6955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from {n: 1, l: 14}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a - 5*a)*(2*a + 0*a + 0*a).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 0 + c**2 - 65*c**4 + 1 + 61*c**4 - c in the form o*c**4 + n*c**3 + a*c**2 + x + r*c and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 25. Let o = 11148 + -78224\/7. Let t = o - m. What is the third biggest value in t, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 h, and 1 x when four letters picked without replacement from {x: 1, r: 4, b: 3, y: 7, h: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-439)\/(-2))\/(-1*(-3)\/(-12)). What is the tens digit of 18\/45 - f\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78229726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679498.3ml in litres?\nAnswer: 679.4983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2. Let h(w) be the second derivative of w**4\/12 - 44*w. Let g(z) = 7*h(z) - 3*v(z). Let f(y) = 24*y**2. Calculate g(f(k)).\nAnswer: -2880*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 84*y**3 - 106*y**3 + 13*y**2.\nAnswer: -22*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 7*h - 9. Calculate p(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ous when three letters picked without replacement from sutuo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + k = -1 + 2, -1 = 4*j - k. Suppose j = -0*m - m + 2. Which is smaller: 6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r**3 + 74*r**3 - 42*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6845902 is divided by 651?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4619368, 9238735, 13858102?\n\"Answer: 4619367*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*k, 3*k + 9 = 3*z - 0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 6, 3*m - 5*z - 8 = 0. Let c be (3\/m)\/((9\/3)\/(-30)). Let q(a) = a**3 + 4*a**2 - 3*a + 15. Let b be q(c). Solve 18 + 2 = -b*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983416029 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6383 = -23*n - 6153. Suppose 2*j + 102 = r, 0 = j - 3 - 1. Suppose -3*a + r = -2*a. What is the greatest common factor of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-24) + 2\/6. Let h = -7 - -9. Let d = -3 + h. Which is the closest to 2? (a) o (b) -5\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:44 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3108091 minus -497698?\nAnswer: -2610393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 416773710 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -1\/4 (c) -6 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 5, 543, -14, 4, -2 in increasing order.\nAnswer: -14, -6, -2, -1, 4, 5, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1440\/126)\/(-20))\/((-4030)\/182 + 27)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 192.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 5, 0.1656, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(3\/24*2). What is the tens digit of a\/(-8)*1 + 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:54 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 164*l - 1811. Let b be f(152). Let a(z) = 18*z - 13. Let g(o) = -9*o + 6. Determine b*g(y) + 6*a(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0507 and 0.322796768.\nAnswer: 0.373496768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:14 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*n + 16. Suppose -8*r = -n*r + 165. What is the highest common factor of r and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 80, -65, -190, -289, -356, -385?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m - 16*m + 15*m + 289. Solve -4*s = -13*v + m*v - 4, 25 = 5*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/1110)\/(35\/(-75))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/6209 greater than or equal to -2217.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3187 = -358*x - 3557 + 2448 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 6*p**2 - 13 + (5*p - p - 3*p)*(2 - p - 2).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176551.\nAnswer: 176551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 3. Let y(x) = 7*x + 10. Let a(u) = 8*u + 11. Let h(d) = 6*a(d) - 7*y(d). Let m(i) = -5*h(i) + 4*j(i). What is the tens digit of m(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -14*n**3 - 3*n**2 + 2*n + 2. Let c(l) be the first derivative of 29*l**4\/4 + 7*l**3\/3 - 5*l**2\/2 - 5*l - 2350. Determine -2*c(u) - 5*i(u).\nAnswer: 12*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (6 - 15) + (2 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/8 - s**3\/15 - 78. Determine r so that n(r) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 62 - 261 + 64 - 3*c + 62 to t + b*c and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:19 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-210) - (-1335)\/(-3115)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let o = -16 + 8. Let t(q) = -q**2 - 8*q. Let p be t(o). Which is the nearest to p? (a) u (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 43 = 2*k - h, 0 = 3*k + 2*h - 78. Suppose 4*n - 4*s - 56 = 0, -2*s - 2*s + 40 = 4*n. What is the greatest common factor of k and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l - 1 + 2*l - 24*l + (-l + 0*l + 3*l)*(-2 + 1 + 0) - 1 + 1 - 2*l to u + o*l and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11485669571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 14*s**2 + 13*s + 18. Let z be h(14). Suppose 0 = i + 4*i - z. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 62*s - 171 = -111*s. Solve o + 3*q = 7 + s, 2*o - 2 = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 3*g. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.371 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -38) + -5 + 1 + 20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b - 79 + 149. Let s(g) = 13*g**2 + 2*g. Let a be s(2). What is the highest common factor of a and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**8\/10080 + y**7\/1680 - 41*y**5\/20 + 154*y**2. Let g(u) be the third derivative of v(u). What is g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1 - 1 - (89 + 31 + -38)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - 0\/(-1)). Suppose c + i = q, 3*c + 0*c = -5*q + 10. Suppose 3*v - 6 - 12 = c. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l**5*l**2)\/(l**5*l*l**0) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 3513064.\nAnswer: -69\/3513064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126834613 to the power of 1\/2, to the nearest integer?\nAnswer: 11262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*n - 21 = -3*n, -5*y - 5 = -3*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*q - 2*k, -5*k + 33 = -2*q + 194. Calculate the remainder when q is divided by 14 + -6 - (170\/(-5))\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = a + 910. What is the greatest common divisor of 224 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -3 (c) 1\/2 (d) -25\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 4*f + 3*f. Let u(k) = -2*k**2 - 15. Let d(b) = -b**2 - 11. Let t(h) = -11*d(h) + 8*u(h). Calculate t(q(s)).\nAnswer: -5*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 15*b - 40. Let f be x(17). Let g = 11 + -3. Calculate the lowest common multiple of f\/(117\/72 + -2) and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.00000057 - -67. What is j rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a factor of 351898466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r + 3*r. Suppose -6*v + r*v + 24 = 0. Let q = 27 + v. What is the common denominator of q and 85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 (base 6) in base 9?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13388 and 10041?\nAnswer: 40164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o**2. Let i(q) be the first derivative of 2 - q**2 - 1 - 8 + 1. Give i(k(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70095 and 4185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(-2\/5))*c*c*c**(5\/8)*c assuming c is positive.\nAnswer: c**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2349657 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6878609631 - 6878497353.70004. Let c = j - 112284. Let s = -6.7 - c. Round s to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**4 - 185 - 34*c**2 + 6*c**4 + 31*c**2 + 493 to the form q*c**4 + h + f*c**3 + i*c + d*c**2 and give h.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -241, -266, -301, -346, -401, -466?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -138*r**3 + r**2 + 10*r - 5. Let t(j) = 137*j**3 - j**2 - 9*j + 5. Let s(m) = 6*n(m) + 7*t(m). Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0 + 9*k**4 - 3*k + 7*k + 3*k**2 + k**2 - 5. Let s(r) = -r**4 - r**2 - r - 1. Let z(q) = i(q) + 4*s(q). What is the first derivative of z(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 + 29944800*a**2 - 21*a + 777004.\nAnswer: -6*a + 59889600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252278 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2603 divided by 12\nAnswer: -2603\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 131*j + 108*j - 12206 - 1010 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8 = -2*d, 4*d + 3 = 19. Let m = 11047 + -88387\/8. Do w and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23 + 4 + -1 + -6. Suppose -6*r + 4*o = -2*r, -h = 5*o. Let p be r\/(-2) - 24\/(-3). Solve -2*w - p = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 18 + 18 = -20*w + 44 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-104)\/39)\/(1\/(-6)). Calculate the greatest common factor of 80 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 13*v**2 + 11*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 15*i - 25. Determine a(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*2\/(-6) - -2. Let v be -2 + (8 - s\/2). Suppose -4*m = 5*w + 24499980, v*w + 3*m + 1017818 = -23482167. Round w to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3941*p = -3958*p - 280 - 111 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 6*k**4 + 3*k**4)*(1 - 4 + 4) - 2*k**4 - k**3 + k**3 + 3 - 861*k**3 - 11*k**4 + 861*k**3.\nAnswer: -15*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-8))\/(1\/(-2)). Which is smaller: a or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*j - 20, -4*j + 1018 - 1028 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 84*q**5 + 6513*q**4 + 9855*q**3 + 3882*q**2 + 456*q = 0.\nAnswer: -76, -1, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**5\/13 - 4*b**4\/13 - 1334*b**3\/13 - 1284*b**2\/13 + 58520*b\/13 + 19600\/13 = 0. What is b?\nAnswer: -10, -1\/3, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 376 = 4*q, 77 + 110 = 2*q - l. What is the highest common divisor of q and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 4*u**2 - 2*u**3 + (2 + u - 2)*(3*u - 3*u - u**2) - 4*u**3 + 0*u**3 + 5*u**3 - u**3 - 2*u**3 + u**3 + 12*u**3 - 26*u**3 - 17*u**3)*(-1 - u + 1).\nAnswer: 35*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 524\/147 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 + 0 = 0. Suppose -8*v + 66 = -14. What is the units digit of (-3 - (g + 2)) + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39\/11*w**2 - 4\/11*w**3 + 92\/11 - 108\/11*w = 0. Calculate w.\nAnswer: 2, 23\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*c + 6*c + 1460, c = 5*r - 716. Let f = c - -206. What is f rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27581*r*y - 15*r + 1491673*y wrt r.\nAnswer: -27581*y - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 220225.292 to the nearest 10.\nAnswer: 220230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/10 and -2\/6495571?\nAnswer: 64955710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-376)\/(-1410))\/(24\/10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 41*m = -103*m + 160 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 4*p + 43. Let i(h) = -h**2 - h - 1. Give 3*i(w) - o(w).\nAnswer: -w**2 + w - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31748949.\nAnswer: 3, 1175887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 58 = -3*y. Suppose 11*i + y = 149. Solve 2*z + 4*v = 0, -5*z - 6 = -5*v + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + c = -3*j - 25, 4*j + 5*c = -53. Let o be (32\/(-12))\/(8\/j). Solve d - 6 = 2*u, o*u + 10 = d + u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0\/(1 - 4) - -14 and 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 - 13*p - 4. Suppose 0 = 3*w - 31 + 4. Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5)\/b)\/(b\/(b*b**(-3\/7))))\/(b**4\/b**(-1\/5)) assuming b is positive.\nAnswer: b**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a - 2. Let k be i(-3). Let z be 20\/k + 28\/(-10). Let m(d) = -6*d**3 - 3*d**2 - d + 4. Is 14 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from qtqptxqqqbtttqq.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -42485?\nAnswer: 21\/42485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = 35. Find the third derivative of -3*c**2 + 6*c**6 - t*c**6 + 5*c**6 wrt c.\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29*(-4)\/36 - 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.9. Let u = 211\/152 - 24\/19. What is the closest to 1 in m, -1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1446*h**4*y + 1273*h**4 - 2*h**3 + 3*h**2*y + 4*h**2 + 9*h*y + 5687*h + 2*y - 1 wrt h.\nAnswer: 34704*h*y + 30552*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 u when four letters picked without replacement from {z: 1, q: 1, k: 5, x: 1, d: 1, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 975?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 - 135. Let d be x\/(-4)*(-12 + 16). Let c be (-1)\/50*(-6)\/15. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 - 161 = 7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-2) + 5 + -8. Suppose m = 4*s - 0*s - v, 0 = 4*s - 4*v - 28. Factor -3*c**3 - 3*c**2 + 4*c + 5*c**3 - s*c**2.\nAnswer: 2*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692728200 a multiple of 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 5*k**2 + 0*k**2)*(k - k - k**2) - 4*k**4 + 4*k**4 + k**4 + (52*k**2 + 59*k**2 - 3*k**2)*(-5*k - 2*k**2 + 5*k).\nAnswer: -218*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 - (2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0444 - 50.0444. Which is the nearest to -2? (a) r (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o**4 - 61*o**2 - 29\/30*o**5 + 3\/40*o**6 + 0 + 0*o**3 + 0*o. Find the third derivative of c(d) wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 10207.\nAnswer: -6\/10207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 59*n - 3 - 59*n - 4*n**2 as d*n**2 + z + x*n and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2964 and 190?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.304, -91\/6, -7, 7\/5.\nAnswer: -91\/6, -7, 0.304, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 5*d + 542 = 507, 0 = 5*a - 4*d - 28 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwqqwwwqwqwqwwwwwww.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 2*c - 2. Let o(k) = -2*k**2 - 3*k - 3. Let x(i) = -3*d(i) + 2*o(i). Let u(y) = -13 + 1 - 8*y + 12. What is u(x(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/7 + 6862340*u**3\/7.\nAnswer: u**3*(u + 6862340)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and -0.103973.\nAnswer: -7.486056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 712*n**7\/15 + n**5\/30 - 997*n**4\/4 + 4*n**2 - 62*n + 2. What is the third derivative of z(y) wrt y?\nAnswer: 239232*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 76 = -5*s + 6*g, 4*g + 40 = 2*s. Let c = 262 - 185. What is the remainder when c is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtxtsstttjt. Give prob of picking 1 t and 1 j.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7074 * -135810\nAnswer: 960719940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - -25. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 6*d + 32. Calculate the highest common divisor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-20) + 27\/45. Let x = 3.3 - 0.3. Let r = -270 + 270.3. What is the closest to r in t, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91779 (base 12) to base 6.\nAnswer: 4021033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2532, 5225, 8202, 11607, 15584?\n\"Answer: 24*c**3 - 2*c**2 + 2531*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5020 is divided by 5007.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 31*s - 32 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 - (-4 + 5 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -484, -718, -952, -1186, -1420?\nAnswer: -1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206\/(-26) - ((-20088)\/351)\/62?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-28) - 4*75\/560. Sort -2\/3, -4, u, 0.2.\nAnswer: -4, -2\/3, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - 2*w**5 + 3*w**5 + (2*w**4 + 3*w**2 - 3*w**2)*(-5*w - 6*w + 2*w) + 0*w**4 + 0*w**4 - 2*w**5.\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49)\/(-3) + (-2)\/6. Let a(k) = 18*k**2 + 8*k - 26. Let o be a(3). Calculate the greatest common divisor of v and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**3 - 2*n - 1. Let m be i(-1). Let c be m\/(-15) - (-298)\/5. Round c to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.8138 rounded to 1 dp?\nAnswer: 146.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-2)\/(sqrt(64)*1).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/3 - 49\/6. Let j = 71\/198 + -3\/22. Let b = -154 + 158. Sort w, j, -5, b in increasing order.\nAnswer: -5, w, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008634 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from xeeexxxexexx.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 55\/(-330) + 10\/(-12). Let v(z) be the third derivative of -z**4\/24 + 5*z**2. Let p(f) = 2*f + 4. Let r(x) = i*p(x) - v(x). What is r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.64 - -3.16. Round f to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 15295, -15, -35\/3, 0.4 in increasing order.\nAnswer: -15, -35\/3, 0.4, 2\/3, 15295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 118.8 + 47.8695.\nAnswer: 166.6695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.02 (b) -2676 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 7. Let n(a) be the third derivative of a**4\/12 + 7*a**3\/6 - 27267*a**2. Let j be 2\/1*20\/(-8). What is j*n(o) + 4*t(o)?\nAnswer: 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/230334 or 0?\nAnswer: 1\/230334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.95 - -0.0775?\nAnswer: -210.8725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -53*f**3 - 2*f**2 - 1. Calculate c(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -89, -200, -355, -554?\n\"Answer: -22*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/4 - 8*n**3\/3 + 7*n**2 + 46*n. What is the units digit of p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 60 = 5*g. Suppose -132 = -4*w + 2*y, 3*w = -4*y + 20 + 101. What is the remainder when w is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095236 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by -39439?\nAnswer: -121\/39439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 282505.1 rounded to the nearest one hundred?\nAnswer: 282500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1171, -1089, -1005, -919, -831, -741?\n\"Answer: k**2 + 79*k - 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*8019.\nAnswer: -481.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 2570*n - 5160.\nAnswer: 5*(n - 2)*(n + 516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1290 and 1720?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*l**2*y**2 + 14*l*r**3 - r**3*y**2 - 2*r*y**2 + y**2 - 124 with respect to l.\nAnswer: 86*l*y**2 + 14*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbt when four letters picked without replacement from btbtbtbbbtttbbbtttbb?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6649219485.2 take away -0.4?\nAnswer: -6649219484.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0 + 11\/8*z**4 - 1\/28*z**8 + z**3 - 18*z**2 - 7\/40*z**6 + 0*z - 13\/70*z**7 + 11\/20*z**5. What is f in j(f) = 0?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 11001000100011000000?\nAnswer: 11001000100010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*c - 5*c - 9 = 0, -2*c - 12 = 4*m. Let p be (-2)\/m + (-20)\/(-6). Suppose -p*s + 4*r + 40 = -0*r, 4*r = 2*s - 24. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -79509*o - 476753. Calculate h(-6).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1\/270*v**6 + 0 + 0*v**5 + 1\/1512*v**8 + 3*v**2 + 0*v**3 + 0*v + 1\/108*v**4 + 0*v**7. Factor n(f).\nAnswer: 2*f*(f - 1)**2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2175)\/522 + ((-35)\/(-30))\/(-7)*(-14 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/168)\/(39\/(-260))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 60, 191, 446, 867, 1496, 2375?\n\"Answer: 7*l**3 - l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002143757984 rounded to five decimal places?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69637.\nAnswer: 83, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 51*k - 5. Let c(g) = -4*g**2 - 53*g + 4. Give -4*c(v) - 3*f(v).\nAnswer: v**2 + 59*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5\/7, 0.2, 1\/7, -34 in decreasing order.\nAnswer: 0.2, 1\/7, -5\/7, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 108. Which is the closest to 0? (a) 0.03 (b) p (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 110706*d**2 - 110596*d**2 - 4*d.\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 3:22 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 267, 943, 2069, 3645, 5671, 8147?\n\"Answer: 225*v**2 + v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b31 - -a?\nAnswer: -b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 47*l**2 - 22*l - 43. Let s be m(23). Let d be (44\/s - -1)\/(4\/(-10)). Solve d = 8*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i. Let p(n) be the third derivative of -n**5\/20 - 18*n**2. Determine p(h(v)).\nAnswer: -588*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(1 + 9\/(-5)). Solve 3*g - 3 = -m*i + 6*g, -6 = -3*i + g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782188.\nAnswer: 2, 41, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172844 times -1?\nAnswer: -172844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793070327.\nAnswer: 7, 5647, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420762 (base 8) in base 11?\nAnswer: 582955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/63)*y*y)**(-5) assuming y is positive.\nAnswer: y**(-935\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -727 divided by -3664\nAnswer: 727\/3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 110576 = 110589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 9) to base 3\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2. Let f(a) = -a + a - a + 0*a. What is j(f(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 11*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.011 - -0.189. What is the closest to 0.2 in 0.1, o, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(34513 + 11*j**2 - 34513 + 58*j).\nAnswer: 11*j**2 + 58*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2 and 2 - 5\/((-40)\/(-324))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506565817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 4*v**2 + 2. Suppose -c - 2 + 1 = 4*l, 2*l + 17 = 5*c. Let p = -3 + l. Give d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z + 3501 = 292*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 13. Suppose 0*o + o = 0. What is the units digit of y(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (11 + (-8 - -8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 48 = -4*s, 3*s = -2*k + 268 - 177 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4153 + -4147. Let l(d) = -12*d. Let g(z) = -12*z. Determine p*l(c) - 8*g(c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45656 + -3268?\nAnswer: -50035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*h, h - 1 + 4 = 0. Let z(u) = -3*u - u**2 + 2*u**d + 0*u. What is z(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.55120083155\nAnswer: 0.05120083155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**4 - a + 258*a**2 + 254*a**2 - 3 - 516*a**2 as m*a + h*a**2 + x*a**4 + c*a**3 + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(-2 + 1 + sqrt(128) - sqrt(128)))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/7469 and 32\/55?\nAnswer: 37345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 - 4*z - 5. Suppose -4*s + 2*h + 21 = h, 3*h = 5*s - 28. Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 8*s + 31 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -218*r - 734. What is the least common multiple of 144 and q(-4)?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l - 3. Let g be ((-1)\/((-3)\/(-6)))\/l. Find the third derivative of 11*s**6 - s**6 + 16*s**2 - 13*s**g wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let h be ((-3)\/(-9))\/(4\/60). Let n(x) = -h*x + 6*x + 4*x. Give z(n(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -14 - (22 - 20)) + (0 - 6) + 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**7*u*u*u**5*u*u**(-7)\/u*u**7 assuming u is positive.\nAnswer: u**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-1275))\/3*4*(-8)\/48.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*f - 2\/7*f**2 - 4\/7.\nAnswer: -2*(f - 2)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5561 and 1577?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106080 is divided by 1278.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + (-126 - -34 - -11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) -0.03 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**2 - 9*y - 9. Let z(n) = -8*n**2 + 5*n + 5. What is 5*r(c) + 9*z(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + 2*sqrt(272) + sqrt(272))*-6 - 4*(6*(1 + sqrt(272)) + -3))**2.\nAnswer: 2016*sqrt(17) + 479844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6) + 0)\/(14\/84). Is 35\/4 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 34 + 6 + (-19 - -15) - -23.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3205 times -0.4?\nAnswer: -0.1282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2 - (-9)\/3). Let x(n) = -n**3 + 15. Calculate the least common multiple of x(v) and 2\/5*25*5\/25.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 5*g**3\/3 - 8*g**2\/3 + 4*g.\nAnswer: g*(g - 6)*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*v**4*x + 29451*v**4 - 2*v**2*x - 88*v**2 - 124*v*x + 11*v + 9*x wrt v?\nAnswer: -4128*v*x + 706824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 3*l**2 + l + 3. What is the units digit of c(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -199578730200230?\nAnswer: 199578730200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -120032 (base 4) in base 13?\nAnswer: -923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 835\/6902 or -1?\nAnswer: 835\/6902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-30)\/(-4)))\/(-12 - -8).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -615, -926, -1241, -1554?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/227 - -2942\/2043. What is the common denominator of c and 28\/165?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 189.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 250910081603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 3, -14 in descending order.\nAnswer: 11, 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 31*u - 400. Calculate the smallest common multiple of 184 and l(41).\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 5\/(15\/(-624)). Let a(v) = -13 - 222*v - 17 + b*v. What are the prime factors of a(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/28)\/(20\/12)*5*(-39)\/(-9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1297*h - 237097. Determine r(183).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -3*t**2 + 0 + 0*t**3 - 1\/30*t**5 + 0*t**4 + 0*t. Let h(o) = -3*o. What is i(h(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 1, p: 2, b: 7, x: 5, o: 1}. What is prob of picking 1 o and 2 p?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.649 + -21.649. What is the nearest to -4 in 0.17, 18, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.018 * 3.3.\nAnswer: 0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12926580 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 5*v + 22. Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/3))\/m**(7\/6))**(-3\/7) assuming m is positive.\nAnswer: m**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8178, 8311, 8436, 8553?\n\"Answer: -4*b**2 + 145*b + 8037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Let v(x) be the third derivative of -x**6\/120 + x**5\/20 + 161*x**2. Give v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -928780930, -1857561858, -2786342786, -3715123714, -4643904642, -5572685570?\nAnswer: -6501466498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -90*o - 10123. What is c(-101)?\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.899826 decades to centuries.\nAnswer: 0.9899826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7698605 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2\/3, 5, 27 in descending order.\nAnswer: 27, 5, 2\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and 1415 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 99216*g - 1488237. Calculate c(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.1691 + -41.6691. Let b = 0.1 + 0. Let u = -2\/107 - 317\/214. Put g, b, 0, u in descending order.\nAnswer: b, 0, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + 8808.\nAnswer: 8807.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2550 - 564?\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from ehcfjcfeeec?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((2002\/(-84))\/13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**3 - 5085970*d**2 - 1293293508245*d + 31041973785720 = 0.\nAnswer: -508609, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 18}. Give prob of picking 2 u.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 958 - 328 = 5*q. Find the first derivative of 27 + 44*v**4 + 39*v**4 - 5*v**3 - q - 91*v**4 wrt v.\nAnswer: -32*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 15) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 212179, 424335, 636471, 848587?\n\"Answer: -10*w**2 + 212186*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 22. Give b(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 11\/7660, 2.9 in descending order.\nAnswer: 2.9, 11\/7660, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -18553005\nAnswer: -2\/3710601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*c - 14 + 14)*(-c - 3*c + 6*c).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -34*l**3 - 3*l**2 - l + 7. Give o(2).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -127\/4*w**4 + 146 - 107*w + 0*w**3 + 0*w**2. Differentiate i(p) wrt p.\nAnswer: -381*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Suppose -2*o - 4*k = 3 + 3, -5*o = 5*k - 5. Let u(r) = -r**2 - o*r**2 + r**2 + 3*r**2. What is u(p(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 - 1. Suppose 0 = 3*u + 15, 5*w = 7*u - 4*u + 35. Suppose -5*h - 86 = m - 4*m, -104 = -4*m - w*h. What is the remainder when s is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.38, 3080.69, 2 in decreasing order.\nAnswer: 3080.69, 5, 2, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -476*g**3\/9 - 1010*g**2\/9 + 476*g + 1010 = 0.\nAnswer: -3, -505\/238, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.956737 centuries?\nAnswer: 995.6737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*(25\/(-6))\/(21\/(-42))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z - 4*z + 3*z)*(0*z - z - 2*z) + 0 + 2*z**2 + 0 - z**2 + 1 - 1 + (-4*z + 6*z - z)*(-1 + 1 + 2*z) + z**2 - 5*z**2 + 2*z**2)*(-20*z + 2 - 21*z + 35*z).\nAnswer: 30*z**3 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*f = -9, 4*s + s - 2*f = 6. Let o(n) = -n**2 - 3. Let k be o(s). Sort -2, -5, k in decreasing order.\nAnswer: -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1409*g**2 - 6 - 1 - 2*g**3 - 2 + 2.\nAnswer: -2*g**3 + 1409*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87.7 + -25.3. Let d = -113 - x. Which is the closest to 0.1? (a) 1\/7 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219365 and 5840.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, w: 5}. What is prob of picking 4 w?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1024*g**2 - 687*g - 1 wrt g.\nAnswer: 2048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a - 30 = 84*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 25*y = 14*y + 29*y - 4320 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 8723286979838?\nAnswer: -8723286979835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w + 6*w + w**2 + (0*w - 4*w + 2*w)*(2257 - 2257 + 115*w).\nAnswer: -229*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 17*k - 1. Let f be w(-6). Suppose 2*j + 6331990 = 4*b, -35*j - f = -36*j. Round b to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2 = -2*f, 3*f = -599 + 602 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -2, 274, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqxxqxqqqq. What is prob of picking 4 q?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -1 - (-5 + -23). Suppose -36*s = -j*s - 25. Solve s*w + 4 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*1\/(-2)*(-152)\/(-190)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -3)\/(1 - 2). Is v greater than 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 4, 10, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 0.3, 2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-33738\nAnswer: 2091.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**8\/6720 + j**7\/504 + j**6\/360 - j**5\/60 + 5*j**4\/12 + 3*j. Let n(l) be the third derivative of f(l). Determine n(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 48*q + 586. What is the remainder when (190\/57)\/(2\/45) is divided by y(21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 560.678 - 560. Let o = i + -0.5. What is o rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, -2, 0.1 in increasing order.\nAnswer: -236, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-6 + 4 - -4)) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - (-11 - -6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r + r**4 - 8*r + r**4 + 4*r**3 - 2.\nAnswer: 2*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 305*o + 12. Let f(s) = -4*s**3 + s**2 - 611*s + 30. Determine -5*d(m) + 2*f(m).\nAnswer: 2*m**3 + 2*m**2 + 303*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -329, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -6*r - 8, -3418*p + 3423*p - 6 = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 175\/2. Let b = 228679 + -1600757\/7. Put n, b, 10\/3 in decreasing order.\nAnswer: 10\/3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10130*r - 6 - 4 = 10131*r, -11*c = -16*c - 4*r - 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/83320 and -121\/289578660.\nAnswer: 579157320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 2. What is the common denominator of ((-150)\/(-36))\/(x\/(-6)) and ((-2)\/14)\/(18\/777)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20211201 (base 3) in base 7?\nAnswer: -20353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:03 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*c + 6*c + 8, 6632*r - 6629*r = 3*c - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-248)*(-16)\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/1 + 0 + 1. Suppose 0*k - r = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3785*n + 64346. Let u be m(17). Let s(r) = -r**3 + 4*r**2 - 2*r + 2. Let l be s(3). Which is the nearest to 0.2? (a) u (b) l (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 29 + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -6. What is the third smallest value in 2\/3, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 14*x**2 + 16*x - 10. Let q be j(15). Calculate the highest common factor of q and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2137075\/685958 + 2\/26383. Let t = 47\/13 + o. Which is the closest to 0.1? (a) -6 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 17*m**2 + 38*m + 188. Let s be x(-4). What is the greatest common divisor of s and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 74*l**4 - 1644*l**3 + 11480*l**2 - 23984*l + 16320.\nAnswer: 2*(l - 51)*(l - 2)**3*(l + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 311537\/20 - 15581. Find the common denominator of x and -127\/13074.\nAnswer: 130740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -4. Suppose 0 = 2*t - y*t. Suppose 5*o = -2*j + 14, t = 4*j + 5*o - 25 - 23. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 8 - 14. Let q(l) = -l**3 + 5*l**2 + 7*l - 2. Let o be q(x). Solve 2*b + o*d + 10 = 2, -3*b = -4*d - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41241 (base 10) to base 4\nAnswer: -22010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.1. Let o = 0.4 - 0.3. Let h = o + 0. Which is the biggest value? (a) h (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28197378, -28197375, -28197372, -28197369?\nAnswer: -28197366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -10, -14, -10, 8, 46?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 - 2*b + 8)*(0 + 3 - 5) + 0*b + 24*b - 6*b)*(-4 + 2*b + 4)*(1 + 0 + 1).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-10*u**4 - 6*u**4 - 4879773*u**5 - u + 4879774*u**5 + 4).\nAnswer: u**5 - 16*u**4 - u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (158\/948 - (-79)\/(-6))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1443102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence she when three letters picked without replacement from sehs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -58*r**2 + 554*r + 224. Give g(10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9272 and 328.\nAnswer: 380152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2)*12\/10. Suppose -5*c = p*x - 0*x + 20, -2*c - 17 = 3*x. Let g be (-12)\/(-30) - 18\/x. Solve -g*u + 4 = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 26. Let f(z) = -2*z + 15. What is -3*f(l) + u(l)?\nAnswer: 4*l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -80*w + 3. Does 31 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82390 = -2*d + 2*j, -5*d - 4*j - 100095 - 105925 = 0. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 9*p + 9. Suppose 2*g = -2*g + 4*b, -3*g + b = -8. Let s(c) = c**2 - 4*c - 4. Calculate g*v(u) + 9*s(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*a - 1 - 27 + 148*a)*(16*a**3 - 3*a**3 - a**3).\nAnswer: 60*a**4 - 336*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (76 - (3 + -1)) + (-3181 - -3202)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3201 times 26\nAnswer: -83226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - -141. Is ((-34)\/8)\/((-8)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1352386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5454 and 3636.\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 15) to base 9\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((sqrt(75) + 0)*5 + 2 + -1 + sqrt(75) - (-5 + sqrt(75)*1 + (-3 + (sqrt(75) - sqrt(75)*-1) - sqrt(75)))))**2 + 5.\nAnswer: 1600*sqrt(3) + 5205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*h + h = -62, -q - 42 = 3*h. Let s be ((390\/q)\/(-13))\/((-2)\/(-12)). Solve 5*b - 2 = 3*g + 38, 4*g - 5 = -s*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = t, 0*t + 19*o + 10 = 5*t + 14*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15838112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzppppjzp. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 + 56*r**4 + 876*r**3 - 4016*r**2 + 5200*r - 2112 = 0.\nAnswer: -12, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483 + 0*n**2 + 0*n**2 - 2*n**2.\nAnswer: -2*n**2 - 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from phyqwkp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - d**2. Let r be k(-1). Let l be 42\/(-12) - 3\/r. Let x = l + 13. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 10*t - 42. Let f = 83 - t. Suppose 45*u - 1400000 = f*u. Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/720 - y**5\/60 + y**4\/12 - 2*y**3\/9 + 15*y**2. Factor r(s).\nAnswer: (s - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.480064 + 0.066636. Round f to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 112*o**2 + 5*o + 4. Is h(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6659420646 rounded to the nearest 1000000?\nAnswer: -6659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90\/17 + 1340\/221. Put 1\/2, i, 0.1 in decreasing order.\nAnswer: i, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4136 and 16.0629461?\nAnswer: 14.6493461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 11. Let n(x) be the first derivative of -2*x**3\/3 + 3*x - 2. Let p(d) = -22*n(d) - 6*r(d). Let f(a) = 3*a**2. Give p(f(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.9999652 - 17. What is p rounded to 6 dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let i = -0.03 - 0.22. Let v = i + 0.55. Which is the smallest value? (a) 0.04 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*x + 2*x - 5, -x = 3*p - 49. Let z(n) = n - 1. Let o(k) = -18*k + 12. Let b(m) = p*z(m) + o(m). What is the units digit of b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16851848 divided by -324074.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u + 0*u + 4*u - 4*u. Calculate d(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 16 + 12*u - 14*u + 23 to l*u**2 + a + j*u and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101210122222 - 10011021?\nAnswer: -101220211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -404 - -409. Let p be 4\/((-2)\/2)*-1. Suppose -q*r - 64 = -p*v - r, -2*r = 4. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 301*i - 18603. What is l(-214)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -59. Suppose m + 55 = z. Let u = z - 36. Calculate the smallest common multiple of 14 and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12583, 101135, 341641, 810085, 1582451?\nAnswer: 2734723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (902 - 23)*(2 + -1). Suppose -2*q + 3*u + 54 = -h, -1406 = -3*q - 2*u. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t = 0. Let o be (22\/(-12) + 2)*16. Let k = -10\/3 + o. Which is the closest to t? (a) k (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 12*b = 14*b - 30, -4*g = -2*b - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198125 smaller than 198124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.118 + -0.018. Let z = -2 + 3. Let l be -5 + z + (-570)\/(-135). Which is the nearest to l? (a) 5 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101 (base 2) in base 14?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**0)\/(f\/(f**(-5\/8)*f*f)*f)*(f**(-8)*f)\/(f*f**0) assuming f is positive.\nAnswer: f**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2746, -9044, -18912, -32350, -49358?\n\"Answer: -1785*q**2 - 943*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6651864 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 674 - -11645. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.655863 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 14.8. Let z = f - -15.01. What is the third smallest value in z, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5 + 10*y**4 - 16*y**3 - 80*y**2 + 32*y + 160 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(3\/(-8))\/((-3)\/2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 3 - 4) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 430 and -35.\nAnswer: -15050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 14049*z + 14033*z - 43, -5*z = -m + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 12*d - 5 - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7903 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576398 is divided by 375?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111001 - -1101?\nAnswer: -100101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - ((-2)\/(-2) - 1). Suppose 0 = -2*k - 10, -l - 2*l = -5*k - 34. Let w be (21 - l - 7) + -5. Sort w, -3, g.\nAnswer: -3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 173 - 1538 = 0. Find the common denominator of 3\/10*f\/14 and 31\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-18))\/((-3)\/24*-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56410 - 6?\nAnswer: -56416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(3 - 5 + 1) - 8 + 9 + 3)*(54*c**5 + 24*c**5 - 31*c**5).\nAnswer: 94*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7366105, -7366102, -7366099?\n\"Answer: 3*a - 7366108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(4410\/(-400)) + -2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwcw. Give prob of sequence kw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006159317128 rounded to five dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-12)\/(-27)*(3 + -2)). Find the third derivative of -f*c**2 - 8*c**2 + 146*c**3 - c**2 - 4*c**2 + 5 wrt c.\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(2) + -4 + sqrt(2))**2.\nAnswer: -120*sqrt(2) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*u**5 - 9416*b**2*u**3 + 14*b**2*u + 3*b - 645 wrt u.\nAnswer: -60*b**2*u**3 - 56496*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 0 - -16 - 2. Let s be (-344)\/(-28) + 4\/(-14). Calculate the highest common factor of a and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(425) - (1 + sqrt(51)\/sqrt(3) + sqrt(17))**2.\nAnswer: -70 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 420697934976972 - 420697789215049.00000025. Let m = 145761945 - o. Let l = m - 22. Round l to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 3\/31174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1059, -4, 6 in ascending order.\nAnswer: -1059, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*n**3 + 2*n**2 - 30*n + 1 wrt n?\nAnswer: -492*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 164 = 5*v - 2*a, -4*v = -3*a - 168. Suppose -6*j + 3*j + 60 = 0. What is the remainder when v is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 8, 6, 0.3, -2050 in descending order.\nAnswer: 8, 6, 0.3, -2\/23, -2050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710800813?\nAnswer: 710800813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -27. Let j = -61 - q. Let v be (-6)\/(-4)*j\/(-9). Solve 3*o + 3*x = 5*o - 1, -v*o - 5*x + 35 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-2)\/(-5)) - 1. Suppose -2*t - 1 = -3*h - 7, 8 = -4*t - d*h. Suppose t = -4*p - 4*v - 4, 5*p = v - 1 + 2. Solve p*u - 2 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 68*d - 5680. Calculate the lowest common multiple of d and 36.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/24)\/(2\/124)*2?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37.2, -0.2, -3, -330, -2\/13 in decreasing order.\nAnswer: 37.2, -2\/13, -0.2, -3, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + w + 3. Let m be -3 - (3 - (1 - -2)). Let a be f(m). Suppose 4*q - c - a = 0, 3*c - 6 = -2*q + 2*c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-20) - (716\/10)\/(-1). Suppose 0 = -g*m + 71*m + 418. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 13*h - 126. Let j be w(-20). Let r(q) = -2*q + 28. Determine r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3 - p - 10 + 5. Suppose -2*h - 2 = -3*h. Suppose -h*v - 10 = -7*v. Calculate o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412 (base 5) to base 3\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 87\/2 of a millennium?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**6 + 204*c**2 - 7*c**5 - 55*c**5 + 2*c**3 + 0*c**3 + 76*c**5 + 3*c + 395*c**2 wrt c.\nAnswer: -720*c**3 + 840*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(912))\/(sqrt(432)*2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109539 = -5*d - f, -3*f = 5*d + 2*f - 109555. Suppose 3*o - d = -16*o. List the prime factors of o.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31491270 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13391.\nAnswer: 7, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let d(o) = 376*o**2 + 20*o - 10. Let x(u) = -125*u**2 - 6*u + 3. Let l(s) = 3*d(s) + 10*x(s). Calculate l(i(b)).\nAnswer: -122*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riu when three letters picked without replacement from {h: 6, e: 1, u: 1, i: 3, r: 5, n: 4}?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 3, o: 1, d: 3, v: 3}. What is prob of picking 3 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3910565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195016 is divided by 146307.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**19)\/x**(3\/7) assuming x is positive.\nAnswer: x**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 22*g = 18*g - 5, -2*g - 10 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-423)\/60 + 1\/(-16)*-112)\/(-1)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 a when three letters picked without replacement from {a: 4, v: 2, t: 2, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518026187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 88723 and 88722 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**3 - 69*a**2 - 161*a - 33. Let v(n) = 5*n**3 + 34*n**2 + 81*n + 18. Let g = -81 - -92. Let i(z) = g*v(z) + 6*s(z). Find q such that i(q) = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 976*n**3 - 3002*n + 107. What is the derivative of d(t) wrt t?\nAnswer: 5856*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18846370 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 32*x**2 + 372*x + 122. What is t(-41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 163 and 3.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1159*f - 9033.\nAnswer: -1159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**2 + 7*v. Let h(n) = -7*n**2 + 3*n. Suppose -4*g + 0*g - 5*k = -35, k + 17 = 4*g. Let y be 0 - (3 - g) - 6. Calculate y*d(q) + 9*h(q).\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(2 - 1)*(-5 + 4). Suppose 21*y + 12 = k*y. Put -3, 4, -5, y in increasing order.\nAnswer: -5, -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 539 = -569 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 311365902*b + 521060649.\nAnswer: 311365902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 131\/12, -180.1, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 23 = -0*u - 2*m, 0 = -4*u - 5*m + 80. Suppose 4*w + 15 = i, w = 4*i - 0*i - u. Solve -i*b - 2*b = 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10520707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23362 + 29855. Calculate the greatest common factor of 86 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236608*17\nAnswer: -4022336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-5 - -10) - 7) + -5 + 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 - 71*h + 1367. Calculate d(9).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(45))**2 - (0 + sqrt(5)*-2)**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 405 (b) -0.01 (c) 4\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*r - 6003, -8004 = -4*z + r - 0*r. Suppose z = 12*v - 1659. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345621894 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 7*a - 9. Let r be g(6). Let h(d) = -5*d. Let q(o) be the second derivative of -7*o**3\/3 - 11*o. Give r*q(x) + 8*h(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -26, -86, -192, -356?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, r: 4, y: 4}. What is prob of sequence yy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 71 - 303 - 58 = 0. What is the highest common factor of b and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 766, 1392, 2098, 2884, 3750, 4696?\n\"Answer: 40*m**2 + 506*m + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/26 + (-3)\/((-6)\/11). Let y = 70 + l. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -212*o**2 - 42*o + 321*o**3 - 328*o**3 + 214*o**2 + (3*o**2 - 4*o**2 + 2*o**2)*(-o + 3*o + 0*o).\nAnswer: -5*o**3 + 2*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 595 - 996. Let q = 299685830.2 + -299686231.2000247. Let i = h - q. Round i to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*v + 19. Suppose 0 = -2*u + 2 - 12. Which is the biggest value? (a) v (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -421 + 272. Let p = 162 + c. Calculate the remainder when p is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1496*l**2 - 3*l - 8. Let s be k(-7). Let q = s + 136691. Let a be (10\/1)\/(2\/q). Round a to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 2*n - 1. Let b be h(-1). Solve -4*k = o - 15, -b*o - 3*k + 4 = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-7))\/(670\/(-2345))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-205))\/(1692\/2115)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (0 - (0 - 2)). Let c(s) = 2*s - 2*s - k*s + s. Let u(q) = q. Let m(f) = 2*f. Let v(p) = -m(p) + 3*u(p). What is v(c(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3072*o**3 - 57*o**2 - 7.\nAnswer: 18432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0207358us?\nAnswer: 20.7358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/805 - 1287\/805. Sort 1, -1, a, -0.4 in descending order.\nAnswer: 1, -0.4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -30. What is the remainder when v is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-12 - 31) - (1 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.24 (b) 0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535797 = 10438*m + 149591 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, 4, 20591, 7.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-68)\/96 + ((-2)\/(-6))\/(0 - -1). What is the second biggest value in -2\/11, r, 276?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-756)\/(-44) + 10\/(-55). Suppose -4*b - 49 = -n. List the prime factors of 83 + 12\/21*(-28)\/b.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-45)*135\/(132\/44).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133\/24 + -113\/24. What is the second smallest value in 165, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 - -1) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41856 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4460*d = -8928*d + 4465*d - p - 37, 4*d - 4*p = -44 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2646, 2548, 2416, 2250, 2050?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 119. Let d be j(61). Solve d*q - g - 4 = 0, -g - 4 = 7*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**6\/90 + 14*z**3\/3 + 11*z. Let h(p) be the second derivative of k(p). Let g(w) = 2*w. Calculate g(h(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1371618 - 15731618 = 4*f. Round f to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*d**6 + 41316*d**3 - 5336*d**2 + 1593*d?\nAnswer: -12960*d**3 + 247896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/3 + 6650*i\/3 + 385388\/3 = 0.\nAnswer: -3266, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 1254?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 3. Let m be u(4). Let k be (1\/2)\/((-1885)\/754). What is the smallest value in k, 0.3, m, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**24*(d**(-1))**(-16) assuming d is positive.\nAnswer: d**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804212 to the power of 1\/2, to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -131, 0, -4 in increasing order.\nAnswer: -131, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.895729 minutes to seconds.\nAnswer: 233.74374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/44*76\/(-57) + 6\/18.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48719393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {c: 2, s: 1, e: 3, a: 13}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 20 + 50 = 0. Solve d = 5*b + 2*d + 1, -2*b - y*d = 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16262 - 16237.007. Let b = -0.007 - u. Let x = -2355\/28 - -337\/4. What is the closest to -2\/5 in b, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -4, 3\/19, 4, -51?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let u be 8\/2 - (0 - d). Suppose -19 = u*m - 47. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, n: 2, a: 2, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1710, -2\/11 in descending order.\nAnswer: -2\/11, -1\/3, -1710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 23*g - 2*m + 28 = 0, -4*g + 2*m + 42 = 0. What is the greatest common divisor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/24 - c**5\/60 + c**3\/6 + c**2. Let n be s(1). Let h be (-10)\/6*(-18)\/15. What is the greatest common divisor of n and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/2)*s\/s**(2\/9))**(-4) assuming s is positive.\nAnswer: s**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292137 is divided by 389?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*o - 205, 4*k + 90*o = 94*o - 192 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**28*j\/j**(-12\/7) assuming j is positive.\nAnswer: j**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28102034 is divided by 507.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 100?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - j - 30 = 0, -3*j - 60 = -2*s - 2*j. Calculate the remainder when s is divided by (10 - 2)*(26 + -25).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + b + 1. Let g(u) = -u**3 - 16*u**2 - 1. Let i(x) = -2*x**3 + 31*x**2 - 14*x - 31. Let f be i(15). Let d be g(f). Give v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**3 + 5*o**2 + 13*o - 5. Let l(m) = 13*m**3 + 7*m**2 + 19*m - 7. Let u = 2185 - 2192. Determine u*j(c) + 5*l(c).\nAnswer: 2*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444264900 to the power of 1\/2, to the nearest integer?\nAnswer: 38003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82183813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - c**3 + 2*c**3 - 2*c**3 + 11 - 8*c**2. Let j be v(-8). Factor w**4 - j*w**3 + w**5 + 0*w**3 + 1 + 0*w**3 - 2*w**2 + w + w**3.\nAnswer: (w - 1)**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -220?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -14. Let y(i) = 15182*i**3 + 5*i**2 - 6*i - 4. Let q be y(p). Let a = q + 1819100. What is a rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073103751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let l(j) = -2*j - 89. What is l(r(x))?\nAnswer: 2*x - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 - 10029*r**4 - 12574847*r**3 - 4956471*r**2 + 1664876137*r - 829626468 = 0.\nAnswer: -2507, -12, 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41257286 to the nearest integer?\nAnswer: 6423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2577*y = 2585*y + 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + l**3 - 3*l**3)*(0*l**2 - 11*l**2 - l**2) + 15*l**5 + 2*l**4 - 2*l**4 + 8*l**3 + 0*l**5 - 6*l**3 - l**5.\nAnswer: -10*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 39683, 1277, 2 in increasing order.\nAnswer: 2, 1277, 39683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197294 and 11086?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 + -7466212.\nAnswer: -7466115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70210, 70227, 70256, 70297, 70350, 70415, 70492?\nAnswer: 70581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 45, 128, 269, 480?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7 = -15. Let o be y\/(-8)*1\/(0 + 1). Put o, 4, -2\/13 in descending order.\nAnswer: 4, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 2. Let i(w) be the second derivative of w**6\/720 - 47*w**4\/12 + w**3\/6 + w - 19. Let l(d) be the third derivative of i(d). What is l(p(x))?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 4*j**2 + 2*j**2)*(-2*j**2 + 2*j**3 + 2*j**2) + 3*j**4 - j**5 - 3*j**4 + (j**4 - j**4 - j**4)*(0 - 2*j + 0).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**4 + 12*m**3 + 2*m**2 + 8*m + 3. Let h(n) = n**4 - 3*n**3 - 2*n - 1. Let g(u) = a(u) + 4*h(u). Find l, given that g(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 19*u - 36. Let g be h(2). Let p(n) be the second derivative of 1\/3*n**3 + 7*n + 0 - 3*n**g. Calculate p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-4) - (2 + 2 + -3). Suppose 0 = c*k + 5 + 4. Which is greater: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooqqoooo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.227327907 rounded to 4 dps?\nAnswer: 0.2273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 236, 1624, 5378, 12680, 24712, 42656, 67694, 101008?\n\"Answer: 197*w**3 + w**2 + 6*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 7) to base 5\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 + r + 7. Let y = -45 + 77. Suppose 7*p - y = 3*p. What is the least common multiple of h(-6) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y**5\/17 - 11498*y**4\/17 - 94564*y**3\/17 - 208192*y**2\/17 - 52032*y\/17 = 0. Calculate y.\nAnswer: -813, -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -120 (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 0*c - 2*c)*(c**2 - 2 + 2) - 15*c**3 + 3*c**3 - 7*c**3 as g + n*c**3 + d*c**2 + i*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304378 is divided by 684.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0.5, -2\/3, 5, -110?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1868298728.\nAnswer: 2, 19, 61, 201499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 50. Let m(x) = 12*x. Determine m(j(n)).\nAnswer: 36*n + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 12. Is -11\/15 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 1) + (2\/15 - 85312\/(-1860)). Solve -55*m + 61*m - c = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvmdvpmmvdddd. What is prob of picking 1 v and 2 d?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 10*a**3 + 28*a**2 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 10*c**2 - 17*c + 118. Give w(10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138913.\nAnswer: 53, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**3\/6 - 166*t - 1. Let v(l) = -29*l**2 + 11*l**2 + 2 - 2. What is v(g(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -5\/22 (c) -5 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.77 (b) -0.5 (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 437401 (base 9) in base 16?\nAnswer: 3fcbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2757*i + 333. What is the hundreds digit of v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*71*60\/2130?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + -22 + 68?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146 - -100) + (-3 - -53).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1548*g**2 - 1158*g**2 + 1752 - g**3 - 1752 in the form p + q*g + f*g**2 + x*g**3 and give f.\nAnswer: -2706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 3 + 0*l + 4*l - 2*l. Let g be j(2). Suppose g*h + 3*m - 19 = 2*h, -m = 4*h - 131. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**2 - 2*n**2 - 2*n**2 + 3*n to a*n**2 + y*n + p and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 11:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*l*v**3 - 5*l*v**2 - 20*l - 176 with respect to v.\nAnswer: -813*l*v**2 - 10*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m - 6. Let o be z(3). Solve -h = 4*h - n + o, 3*h + 27 = -3*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:33 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140894*t**5 + 86*t**2 + 19*t - 38 wrt t?\nAnswer: -8453640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(4320\/(-146940)) - 10\/(-6) is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155.44 + -152.44. Let s = 1 - 0.6. What is the third biggest value in 3\/8, g, s?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 699 + -693. Put -4, m, 5 in decreasing order.\nAnswer: m, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4782 times -0.15\nAnswer: 717.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 3. Let i be z(5). Let t(v) = 4*v**2 - 5*v. Let a be t(i). Let w = -3.24 - -2.94. Sort w, a, 3 in increasing order.\nAnswer: w, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3361 - 2\/(2 + 0). What is f rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2368 - 3702. Let w = b + 2450. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.1089g in kilograms?\nAnswer: 0.1911089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6425*h = 6447*h - 110 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 4696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q - 8*q)*(22*q**2 + 66*q**3 - 22*q**2).\nAnswer: -594*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2487\/12 - 21\/112*-4. What is the highest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*x - x**3 + 5*x**2 - x**2 + 5*x**4 + 39*x as y*x**3 + w + q*x**2 + b*x + h*x**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.901632 and 29.46?\nAnswer: 31.361632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1523 - -1526. Which is the smallest value? (a) -0.1 (b) 0 (c) f (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118640710 to the nearest 1000000.\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n + 4. Let k(c) = c + 1. Let u(y) = -5*k(y) - w(y). Let h(g) = -2*g + 17. Let f(o) = 6*h(o) + 11*u(o). Give f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*a + 1 - 1)*(-1 + 1 - 2*a) + (2*a + 4*a - 3*a)*(-11*a - a - a) - 4*a**2 + 4*a**2 - a**2 as f + i*a + b*a**2 and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2\/2 - 7. Let i(r) = -3*r**2. Determine i(c(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916739, -916745, -916751?\nAnswer: -916757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-588))\/(4\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 53243811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*f - 792*f**2 + 1509*f**2 - 82*f + 712*f**2 in the form z*f**2 + l*f + d and give z.\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-5 - -1) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1716 divided by -6\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 23. Put 0, z, -2 in increasing order.\nAnswer: z, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30\/7 - 113\/28. Suppose 0*x + 4*x - 4 = 0. Let q = -184 - -189. What is the closest to j in x, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -535176 and -3?\nAnswer: 1605528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from efxxjxexxexxjjjxxx?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16*c**5\/3 - 160*c**4 + 2831*c**3 + 18281*c**2\/3 + 3696*c + 588 = 0.\nAnswer: -42, -1, -3\/4, -1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o + 3*z - 4188, -5*o + 5*z + 6990 = 0. List the prime factors of o.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - p - 5 - 3 = 0, 2*b - 26*p + 24*p = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + a + 2 = 0, -n = -5*n - a - 2. Let r(m) = -4*m**2 - 2*m + 2777. Is r(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*h + 154*b**3 + b + 80*h wrt b?\nAnswer: -6*b*h + 924*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/913510529 or 1?\nAnswer: -2\/913510529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5796 - 3176. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (-2 + 6 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 76 + 81)*(16*o + 6*o + 2*o) in the form h + u*o and give u.\nAnswer: 3552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2344*l + 2321*l = 299 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 27*h + 4. What is l(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3, -5, 1\/3, 16, -173\/77 in descending order.\nAnswer: 16, 1\/3, -2\/7, -173\/77, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/17 - ((-206 - -70) + 145).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -16*w**5 + 2*w**3\/3 + w**2\/2 - 76. Find the third derivative of d(l) wrt l.\nAnswer: -1920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1294\/95645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4*i - 1. Let p = -12388 + 12392. Let m(x) = -2*x**2 - 3*x. What is p*m(o) - 3*n(o)?\nAnswer: -5*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 5*i + 121*i - 4*i as h + c*i and give c.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -6 (c) 8 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12\/17 - -443\/170. Let p = -9\/5 + i. Put p, 1\/7, -3 in decreasing order.\nAnswer: 1\/7, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/41232294 and -83\/135.\nAnswer: 206161470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusads. What is prob of picking 1 d and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104192189?\nAnswer: 487, 213947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 4. Let h = -45 - -48. Let x(j) = -11 + h*j + 8*j - 22*j. Give 6*x(z) - 17*y(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 360409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/4))**37\/(k**(-2\/23)*k**(-9)*k) assuming k is positive.\nAnswer: k**(3297\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/3)*t*t**(-1))**6*((t\/t**(-11))\/t*t\/(t\/(t**(-1\/4)\/t*t*t)))**(-1\/22) assuming t is positive.\nAnswer: t**(657\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 3 = 0. Let l be p*(1*-1)\/1. Let t = -1650.7 + 1651.7. Which is the second biggest value? (a) t (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - (-24)\/10. Let l = m + -4. Which is the closest to -1? (a) -1 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x - 37 = -873. What is the greatest common factor of 187 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 416\/(-40) + 4\/10. Let o(g) = -9*g - 18. Does 18 divide o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-48) - (-8)\/(-128)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.55923 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m = -15. What is the tens digit of (-2076)\/m + (-19)\/95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/245655508?\nAnswer: -5\/245655508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 5*g - 9*g - 6*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3349, 2821, 2293, 1765, 1237, 709?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10723064 and 1144?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14318 by -571.\nAnswer: -14318\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270022 or -270024?\nAnswer: -270022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5823, -5911, -5999, -6087, -6175?\n\"Answer: -88*s - 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 23*b**2 - 482*b + 44. Determine u(-36).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 338851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:37 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*d**3*q**3 + 22*d**3*q + d**3 - q wrt q?\nAnswer: -234*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c**2 - 4*c - 3. Let v be b(-1). Suppose 9*x - v*x = -74. Suppose -2*n = -4*t - x, 3*n - t + 2*t - 125 = 0. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-560)*(-8)\/3*5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614 + 308 + 6*p + 306.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107978\/7 - (1044\/(-63) - -16).\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9034 to 2 decimal places.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 98*a + 198*a - 100*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.33 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/103 + 91\/927. Put 1\/4, 0, y in decreasing order.\nAnswer: 1\/4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380069702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4500*l**3 + 50*l**2 + 1221507*l?\nAnswer: -27000*l + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 167 = 184. Let r = t + 45. Let y be 52\/4 - (-2)\/(-2). Calculate the highest common divisor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 35 = -5*z, 3235*z = 3233*z + 4*i + 70 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005259096 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -13, 2\/207?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011011101 + 11121?\nAnswer: -2010222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 2, x: 2, g: 4}. Give prob of sequence gbx.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 271732 + -2?\nAnswer: 271730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 + 21*f**2 + 4*f**3 - 21*f**2.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -8*c**2 - 43*c + 6. Let v be g(-7). Factor -116 + 114*o**2 + v*o**3 - 96*o + o**4 + 8*o**4 + 20.\nAnswer: 3*(o - 1)*(o + 4)**2*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 66054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*w - 248*w + 1 - 244*w - 1.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 + 1 - 1 + s**2 - 4 - 2*s. Let a(m) = -m**2 + 3*m + 3. Let k(h) = -4*a(h) - 6*u(h). Let r(x) = 6*x**2 + 2 + 1 - 3. What is k(r(p))?\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.68671ng to tonnes.\nAnswer: 0.00000000000008868671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -82*r + 241. Calculate b(-2).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 5*w**2 + 2*w + 5*w**3 - 5*w**3. Let j be 9\/(-15) + 112\/(-5). Let z = 28 + j. Calculate u(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -2\/13, -5, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2\/7 + 176*b\/7 - 780\/7 = 0. Calculate b.\nAnswer: 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2*-1)\/(63\/(-9))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f**2 + 3)*(2*f + 3 - 3) - 721*f**3 + 51*f**3 - 124*f**3.\nAnswer: -792*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 8*z - 3*z + 16)*(224 - 63 - 118) in the form u + q*z and give u.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 8, 0, -1\/47 in descending order.\nAnswer: 8, 0, -1\/47, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 762*m**2 + 0*m**3 + 762*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - 17\/(-4). Suppose 7*a = f*a. Solve y + a*y + 5*z + 15 = 0, -9 = 3*y + 3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**3*m**2*x + 5*d**3*m*x**2 + 3*d**3*m - 4*d**2*m**2*x**2 - 2*d**2*m**2*x - d**2*m**2 - 7*d*m**2*x wrt d.\nAnswer: -18*m**2*x + 30*m*x**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6420 = -325*v + 576*v + 1033*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3282, 6499, 9718, 12939?\n\"Answer: x**2 + 3214*x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 14*u**2 + 18*u**2 + u.\nAnswer: 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - 13 - (-38 + (79 - 33)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10020 - -1?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0. Let t = 15 + -11. Suppose 0*o + 2 = 2*l - t*o, 3*o = 3. Which is the nearest to 0? (a) l (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w - 6*w = -180 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664702109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5. Suppose s = -5*t - 5*u + 110, -3*u = 3*t + 2*t - 106. Calculate the lowest common multiple of 16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*a + 25. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 28952.\nAnswer: 86856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Let g be 9\/(-12) - (-14510)\/(-24). Let k = g - -611. Is k < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6556851 to the power of 1\/2, to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/13027 and -16\/383.\nAnswer: 4989341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x + 16. Let i be z(12). Let k = -75 + i. Calculate the highest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0 - 35*v**2 + 0*v + v**3 + 1\/3*v**4 + 7\/60*v**5 - 1\/120*v**6. Calculate t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -35 + 10, 0 = 4*s - 3*i + 91. Let f = 184 + s. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 205549265.28\nAnswer: 205549279.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/72 and -71\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-21)\/12). Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 16. Suppose 4*v - 69 = 3. Let a = v + f. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/4*5277*5\/(-10). Is (j\/3)\/((-2)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*x - 2*x, 2*x + l = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {k: 1, l: 1, r: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 - 28616 + 57239 - 28623. Suppose 0 = 2*x - 7*x - 20, q - 14 = 3*x. Let k(o) = 0*o + 0*o - q*o**2. Give k(j(n)).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - -29. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11*z*z**7*z*(z**(2\/3))**20)**(-49))**48 assuming z is positive.\nAnswer: z**(-78400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**6 - 87*g**5 + 4*g**4 - 2*g**2 - 31*g + 47.\nAnswer: -240*g**3 - 5220*g**2 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*6 - 27. Let v(o) = 5*o**2 - 1. What is the smallest common multiple of v(-1) and ((-8)\/(-6) - 2)*f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 4. Let o(d) = 3*d - 9. Give -2*o(y) - 5*r(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 40. Let p = 114 - 111. What is the nearest to 0.1 in p, o, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 2*w - 3*p = -18, 2*p - 12 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose 2*d + z + 6 = 0, 4*d - z + 12 = -6*z. Sort d, -1, f in decreasing order.\nAnswer: f, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13539*y**2 - 10 + 10 - 13512*y**2.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/4 - (-9)\/6. Suppose -l*w + 6*w + 460 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 + 10)\/(3\/21 + 83\/56). Let n(w) = -4*w**2 + 2*w. Let q be n(1). Is h bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkvvvbtbvkff. What is prob of sequence bf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -1\/21 (b) -1.82 (c) 3\/2 (d) 0 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.7 (b) 10\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2508.028 - 2516. Let m = -0.028 + q. Which is the fourth smallest value? (a) -1 (b) 3 (c) -0.1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3 + 15\/3). Suppose -x = -k*x - 16. Is 8 a factor of (x\/(-5))\/(4\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3029 = -5*n + 13582, u + 5*n = -5254. Round u to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 43.01. Let y = -281\/609 + 26\/203. What is the nearest to 2\/7 in -2, 0.1, o, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -18*t**4 + 5748*t**3 + 15430*t**2 + 8368*t + 1288 = 0.\nAnswer: -2, -1\/3, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6901*4\nAnswer: -27604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1034130 to the nearest 1000.\nAnswer: -1034000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2903, 2905, 2907, 2909?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 633287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**8\/28 - 23*z**7\/42 - 5*z**4\/6 - 33*z. What is the third derivative of g(p) wrt p?\nAnswer: -240*p**3 - 1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)\/(b**(-23)*b*b) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2003638708 to the nearest integer?\nAnswer: 44762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/6 + 2663*m**4\/3 + 1774*m**3 - 10652*m**2\/3 - 21296*m\/3 = 0. Calculate m.\nAnswer: -5324, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4 + 2 + (-33)\/36?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**6\/6 - s**3\/6 + 2*s. What is the second derivative of d(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*s + 211*s - 110*s to the form u + t*s and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4082\/(-249002))\/(6*(-2)\/(-4)*(-5)\/(-30))\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -e?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2880) - 1*sqrt(315)\/sqrt(7))\/(-6*2*(sqrt(324)*-1 + sqrt(324) - sqrt(324))).\nAnswer: -25*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a**3 + 0*a**3 + 0*a**3)*(-9 - 3 + 20)*(-4 + 4 - 2)*(a + 0 + 0) in the form n*a**4 + p*a**2 + y*a**3 + m*a + x and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 220537435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 89. Solve 3*o + 4 = r*c, c + o = 3 + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, l: 2, x: 4}. What is prob of picking 1 j and 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -160, -221, -262, -277?\n\"Answer: x**3 + x**2 - 85*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 238208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8844 = -111*z - 286*z - 5*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1893*t**2 - 115*t - 344. What is the units digit of s(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 483*r**2 - 3486*r + 80160.\nAnswer: 3*(r - 167)*(r - 10)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3933 and 7806131?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(12)\/(-3*sqrt(726))*6)**2.\nAnswer: 8\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -223, -0.1, -5, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**8\/560 + i**7\/56 - i**6\/20 - i**5\/10 + i**4 + 2*i**3\/3 - 7*i**2. Let h(p) be the first derivative of v(p). Factor h(w).\nAnswer: -3*(w - 2)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from nuvnnnnnluv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 + (-1)\/4. Let z = -54 - -39. Let s = z + 17. Solve -s*i - i + 6 = 3*m, r = 2*i - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from cczccrczcrczccruzz.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 18}. What is prob of picking 3 m and 1 z?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -31*v + 1. Let n(b) = -5*b. Let y(k) = -30*n(k) + 5*t(k). Suppose 0 = -121*l + 117*l + 12. Let j(d) = -5 + l - 5 + 3 + 4*d. What is -6*j(o) - 5*y(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdy when three letters picked without replacement from yeekkddekeeeoy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 0)*(4 - 4 - 6)*(-2*m**2 + 0*m**2 + 5*m**2) as b + y*m**2 + i*m and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + aa?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r - 154 = -10*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 6*m - 5*m - 15. Let v be q(-6). Solve -v*n - 4*f = 0, 4*f - 8*f = 4*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.3 + -6. What is the nearest to -1 in k, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 831097 and 3759?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 divided by -6?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 656921 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 4:19 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/268569 and 121\/238728?\nAnswer: 2148552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/38*45\/(675\/60)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-264)*(-7)\/((-147)\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884196 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: Suppose m + 10 = -11. Let l be (m\/(-14))\/(1\/6). Solve 5*i = -l - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*l + 797 = 0, -10*a + 6*a + 3220 = 4*l. Calculate the remainder when a is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525*d + 4680 = -48771 + 12276 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from impcpmp. Give prob of picking 1 p and 1 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*g = 7*v + 2427003, 5*v + 3*g - 12134997 = 0. Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301309, 602848, 904369, 1205872, 1507357, 1808824?\nAnswer: 2110273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + (-2 - (4 + -15))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 + 41*l**2 - 56 + 2*l + 56 + 6*l**3.\nAnswer: 6*l**3 + 51*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-52)\/13)\/(10\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p. Let g(v) be the second derivative of -3*v**4\/4 + 2*v + 66. Give k(g(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:49 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -131, -461, -1121, -2225, -3887, -6221, -9341?\nAnswer: -13361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 9*k**2 + 7*k + 1. Let v be c(10). Let s = 8 - v. Let u = -26 + s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/14 - (-27016)\/(-114576). Which is the closest to 4? (a) -0.5 (b) r (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 21 = 57 - 15 - 33 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x)**(3\/4)*(x**(-2\/7))**(-10\/11))\/((x\/((x*x**(-1\/8)*x)\/x*x))\/x**(-2)*(x*x**(2\/9))\/(x**(4\/9)\/x)) assuming x is positive.\nAnswer: x**(-14653\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -3238, -7229, -12816, -19999?\nAnswer: -28778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 34*p**2 + 35*p + 47. What is the tens digit of f(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 41132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/22 + (-12)\/(-66). Let x = w - 7. Let b = 17 + x. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*n*x**3 + 18*c*n*x**2 - 38*c*n + 539179*c*x**3 - 2*c*x**2 - 161*n*x**2 + n*x + 2*x**3 wrt x?\nAnswer: -6*c*n + 3235074*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52745023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*q + 471 = 0, 2*w - 38 - 185 = q. Calculate the highest common factor of 38 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 2, u: 6, g: 2, l: 3, k: 2}. What is prob of sequence lul?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y + 444 - 184 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -1)*6.\nAnswer: -6 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355677, 711369, 1067075, 1422795?\nAnswer: 1778529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470846 rounded to the nearest 1000?\nAnswer: 471000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 30*o - 5525. Calculate the highest common divisor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 1*498\/3. What is the common denominator of (h\/(-12))\/(20\/6) and ((-2)\/(-4))\/((-11)\/(-68))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*i + 4*i**2 + 0*i**2 - 41*i + 562*i - 24*i**2.\nAnswer: -20*i**2 + 448*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**2)**(-9\/11))**37)**(27\/5) assuming n is positive.\nAnswer: n**(8991\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)*-1*-188. Let m be f\/5 + (-30)\/(-75). Let a = -72 + 111. Are a and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 10*h**2 - 20*h + 35. What is the remainder when g(12) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/34283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7*a**2 + 13*a - 1. What is the units digit of n(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 4*j + 0*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -235 - 3*x + 462 - 229. Calculate d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -8, -2*y + 5*d = 12. Let f be -2 + y\/3 + 4252\/(-12). What is f rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -115. Let w = 5371 + -5407. Let t = w + k. Which is smaller: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.59 + 0.09. Let j = m - -5.5. Which is the third biggest value? (a) j (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {s: 6, y: 4, g: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 0.5, 0.05 in increasing order.\nAnswer: -29, 0, 0.05, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -1 - (1 - -34 - ((-40 - -21) + 22)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97941 is divided by 12241?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 474866?\nAnswer: -3\/474866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 17*w - 1. Let b be f(-18). Suppose b*r + 5*r - 314006 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 743085, 743087, 743089, 743091?\nAnswer: 743093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/56 - (-73854)\/1232. Which is bigger: y or 59?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.05, 0, 12\/11, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13088 - -13169. Calculate the smallest common multiple of 13 and z.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-72)\/(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*f + 9. Let y be f\/(-18) + (-178)\/(-9). Suppose -2*q + 62 = 4*g, 5*q = -y - 5. Calculate the greatest common divisor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 619554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3927112 divided by -7.\nAnswer: 561016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 1696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 10*g + 5. Let d be s(-5). Let q = 5 - 2. Suppose -q*k + d*h + 7 + 14 = 0, -2*h = -5*k + 16. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {h: 1, s: 2, o: 2, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 + 2 + 25)*(-2 - 1 + 4)*(-6*k + 4 - 2 + 4*k) as s + t*k and give s.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244347422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*x - 7916 - 662, -2*x = -4*b + 34300. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/2)\/(2\/4). Is 8 a factor of ((-136)\/(-10))\/(m\/(-5) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 60*k + 19. Calculate h(63).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = -2*k - 5*s, 5*k - 6*s + s + 1325 = 0. Let v = -238 - k. What is the greatest common factor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-110))\/((-3)\/6)*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f + 143220 = -2228*f for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -21*o - 6. Let g(d) = 4 - 73*d + 59*d - 3 + 17*d. What is 27*g(k) + 4*l(k)?\nAnswer: -3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -8. Let c(h) = 25*h**2 - 2. Is c(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(79 + 2 - 5)*(0*u**4 + 3*u**4 - 2*u**4).\nAnswer: -152*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Let q(a) = -5*a**2 + a. Let k be 6\/4*(-40)\/(-12). Let f(y) = -y**2 - y**2 + 2*y - 4*y**2 - k*y**2. What is w*f(x) - 7*q(x)?\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 - (-2024)\/(16 + -8)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p**2 + 2 + 5*p**2 - 2*p**3 + 3*p**3 to o*p + b*p**2 + d*p**3 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-45))\/(-14*(-1)\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k**2 - 2*k**2 - 22*k**2)*(-12*k - 3*k**2 - 4*k**2 + 9*k**2).\nAnswer: -72*k**4 + 432*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 90 = -2*v. Let i = 256 + v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 15*w - 39. Determine x(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (14 - (-3 - -11 - (1 + 4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 10:37 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6073.576 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129399759*g**2 + 31763*g + 392?\nAnswer: 258799518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwllwlwlwuw. What is prob of sequence ul?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059536.8 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (365\/24090)\/((-10)\/(-22)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 10:46 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -756 - -775. Suppose -78 = -v*a + 264. Calculate the least common multiple of 118 and a.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 6*j + 9. Give k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -14 + -49 + 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let c(k) = 107*k. Calculate c(d(y)).\nAnswer: 214*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 0 - (0 - 208). Suppose 5 = 5*q - 5*w, -q - 2*w + 7 = -6. Suppose 3*i = -i - 4*p + h, -i + 70 = -q*p. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*(1 + (-4)\/3). Solve 4 = p*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 9*y**3\/2 - 87536838*y**2 + 425705386477560*y + 567607337591136 = 0.\nAnswer: -4\/3, 9726316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 8*b + 7 = 3*h - 7*b + 3*b, 0 = -b - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 2*h. Let t(v) = -v**2 + v. Let a = -291 - -288. What is a*w(g) + 6*t(g)?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -96*j**2 - 24*j + 73. Calculate m(3).\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97106\/5 or 19421?\nAnswer: 97106\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -188. Let d(q) = 8*q**2 - q + 1. Calculate the remainder when d(-2) is divided by (988\/c)\/(-2*2\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 7*b**2 - b + 3. Let d be y(-4). Suppose -4*f + 18 + 2 = 0, d = 5*p - 5*f. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/240 + 23*f**5\/120 - 7*f**4\/6 - 6*f. Let i(v) be the third derivative of t(v). Find the first derivative of i(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -42. Let k be (0 + 3 + 0)*c. Suppose -22 = -2*o - k*g, 3*o + 3 = 4*g + 2. Solve 3*d = -5*r - 15, 4*d + o*r + 25 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:05 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) -43 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**3 - t**2 + t + 4. What is b(-2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 9.4154.\nAnswer: -84.7386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-126)\/(-21))\/42)\/((440\/35)\/8)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 + o**3)*(2 + 3 - 6 + 8*o - 1 + 1 + 2*o + (0 + 1 + 1)*(-2*o + o + 0*o) + 3*o - 3*o + o + 3*o - o + 0*o + 2*o - 2*o + 2*o).\nAnswer: 13*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c + 2*b - 29, -4*c + 116 = 4*b. Solve -4*t - 9 = -c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = -0*z - 13*z - 4*n, -2*z - 306 = -1144*n + 1148*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k = 8, u - k = -0 + 4. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 472, 1575, 3722, 7261, 12540?\nAnswer: 19907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1048, -1, 1219 in descending order.\nAnswer: 1219, 0.1048, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, 61, 112, 141, 142, 109?\n\"Answer: -h**3 - 2*h**2 + 80*h - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/3, -101, 2, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**3 - 86*w**2 + 84*w**2 - 3*w - 7*w - w + 3*w to u*w**3 + a*w**2 + o*w + q and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeooovoovvoevo. Give prob of picking 2 e and 2 v.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/597 (c) -14 (d) 4 (e) 2\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-375))\/((-1)\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -4*k**3 - 2*k**2 - 7*k. Is 11 a factor of x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 2 (b) -3 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 - 62*n + 23. Let h be b(10). Let m(u) = -11*u + 108*u**3 - 208*u**3 + 101*u**h + 3*u. Let i(q) = -q. Calculate 2*i(s) - m(s).\nAnswer: -s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -9. Let t = -3.827 - 0.073. Let n = 0.9 + t. Which is the nearest to -0.2? (a) l (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5332332 and 5603?\nAnswer: 69320316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 1820*q - 50598.\nAnswer: 2*(q - 937)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 + 257. Suppose -36 = d*p - 23*p. Solve 2 = -n + 3*z, -p*n - n - 3*z + 18 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3286)\/159 - ((-26)\/30 - -1). Let n = m - -2798\/135. Which is the fourth smallest value? (a) 0 (b) n (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3145 - -5?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 4 - 4)*(-3 + 2 + 0) + (6*c - 2*c - 2*c)*(-3 - 2 + 4).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1\/2 (c) 340 (d) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 2*m**8\/7 - 4*m**4\/3 + 5*m. What is the third derivative of l(a) wrt a?\nAnswer: 1920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 2. Suppose -a = -5*p + 24. Solve -p*q - 16 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/5, 2\/13, 0.1, 3 in increasing order.\nAnswer: 0.1, 2\/13, 3, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1, -5, 412, 21.\nAnswer: -5, -4, 1, 5, 21, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllldlllllllll. What is prob of picking 3 l?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 150?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.20768? (a) 0 (b) -0.1 (c) -2 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from mmmmmmpmmmpmmmmmmm?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/4*l**5 + 5\/6*l**3 - 16*l - 35*l**2 + 2 + 35\/6*l**4. Suppose f(m) = 0. Calculate m.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - -6) + 4 - 9) + 14 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h - 5, 3*n - 5*h = 29. Let o(g) = -2*g**3 + 22*g**2 - 47*g. What is the remainder when o(5) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 10, 0 = 2*h + 3*g + 11. Suppose h*x + 2*w = 68, -4*x + 2*w + 102 = -x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*s - 174428, 0 = -s + 5*q + 55173 + 32033. Let f = s - 55216. Round f to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -585 divided by -511\nAnswer: 585\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 400, 1500, 3328, 5878, 9144, 13120?\n\"Answer: -z**3 + 370*z**2 - 3*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119\/1235 or 0?\nAnswer: -119\/1235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/38*(-8)\/(-66)*22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/12)\/(0 - (-4)\/(-1200)). What is the common denominator of 124\/(-18) + 1\/(-3) and -5 - (n\/(-12) - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 + 2 + -2. Suppose -v - g*w + 4 = 0, v + 2*v - 56 = -w. Let p = v + -10. Which is greater: 8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)\/(sqrt(16)\/sqrt(4) + sqrt(4))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5452 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 14*j**2 + 76*j - 79. Let n be c(18). Sort -4, -5\/2, -5, n, 0.7 in descending order.\nAnswer: 0.7, -5\/2, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2)\/(846\/45 + -18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59743080.\nAnswer: 2, 3, 5, 263, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 99525*v + 98867*v - 205214*v in the form p + h*v and give h.\nAnswer: -6822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -55 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -12. Let x(c) = 12*c**2 - 10*c - 10. Let l(g) = -4*g**2 + 3*g + 3. Let j(n) = f*x(n) - 10*l(n). Let v(o) = -o. What is j(v(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370 (base 11) to base 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 59781600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 - 3*h**2)*(-5*h**2 + 2*h**2 + 5*h**2) + (3*h + 2*h - 7*h)*(-2*h - 2*h**3 + 2*h).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - i**2 + 2*i**2)*(-4*i + 5*i - 3*i) - 125*i**3 - 28630*i + 28630*i + (-1 + 3 - 1)*(3*i**3 + 74*i**2 - 74*i**2).\nAnswer: -118*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 29790 to the nearest one hundred.\nAnswer: 29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0 + z**3 - 2 - 6*z**2 + 2*z + 0. What is the least common multiple of ((-57)\/12 - -5)*24 and p(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffjjjjjfj. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + sqrt(7) - sqrt(7))*3*6)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/26264 and 31\/4.\nAnswer: 26264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575448183 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581 = 46*u + 661 - 874 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 124\/6 + 2\/6. Let q be (-1 - p\/(-2))*4. Suppose 0 = -5*m + 2*b + 86, 0*m + 2*m - q = -b. What is the smallest common multiple of m and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2 and 67\/182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*l + 12. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5211 and 5913.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -810 - -815. What is p in -4\/9*p**2 + 4\/9 - 8\/9*p**3 + 0*p**4 + 2\/9*p**o + 2\/3*p = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.06733 rounded to one decimal place?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 25*a**2 + 7*a - 23. Let l be t(10). Let p = l - 30599\/12. What is the common denominator of p and -49\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7069 is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 5:43 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/22)\/(1\/22196). Let v = -3031 + f. Calculate the common denominator of (18 + 0)*(-72)\/297 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3834 - -7839. What are the prime factors of g?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275 - -275. Let p = -172 + 134. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6308, 6580, 7330, 8798, 11224, 14848, 19910, 26650?\n\"Answer: 40*t**3 - t**2 - 5*t + 6274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 8 - 2. Let p be (9\/(-6))\/(l\/(-12)). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 49*c**2 - 10155*c + 2321. Give o(207).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w**3 + w - 2. Let o(h) = -h**3 - 1. Let t(v) = -2*o(v) + z(v). Let m be t(1). Let b = m + 10. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 4*d - 8*d. Let y = d + 208. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3\/16*2). Let t(z) = -15*z - 24. Let h(m) = -10*m - 16. Let n(b) = i*h(b) - 5*t(b). Let v(d) = -6*d - 9. What is 7*n(r) - 6*v(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o + 2. Let y be u(1). Let a be 2\/y - 44\/(-11). Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 h, and 1 y when four letters picked without replacement from {p: 1, h: 5, a: 2, y: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = -2*c - 72*m + 75*m, 0 = 3*c + 2*m - 1306. What is the remainder when c is divided by 113?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/1525)\/(((-1360)\/50)\/34)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 12*m**4 + 2*m**4 - 1 - m + 23 + 11*m**4 + 2*m**2 to r*m**3 + n*m**4 + k*m + h*m**2 + j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/15 + 130354*z\/15 + 130352\/15 = 0. What is z?\nAnswer: -65176, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-540)\/735)\/12)\/((-69)\/23)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*p - 52 = -1396 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-35))\/(546\/(-1365)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 5*f**2)*(-f - 3*f + 3*f)*(3 + 13 - 7 - 6*f).\nAnswer: -30*f**4 + 45*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 11. Let u be -4 + (-1 - (-74)\/2). Let q = u + -37. What is the remainder when n(q) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -3.1. Which is the closest to 0.1? (a) v (b) 4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6158421.\nAnswer: 3, 684269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6405733116 = 80*g - 984746884. Round g to the nearest 1000000.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34635 and 15?\nAnswer: 34635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011212 (base 3) to base 5.\nAnswer: -11420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y\/(y*y\/(y**(-4)*y)))\/y))\/y)\/(y**(3\/2)*y*y)*(y*y*y**(-4)*y)\/(y\/y**6))**25)**(-36) assuming y is positive.\nAnswer: y**(-4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**3 - 4*r**3 + (1 - 3*r - 1)*(-3*r**2 + r**2 + r**2) + 8*r**3 + 13*r**3 + r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.044, -4, -0.065, -1, 4\/15, -2?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 739 - 3*s - 739.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from wookkkok?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqxx when four letters picked without replacement from pipzzqxi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/56 - ((-584)\/7)\/2. Let t = -50 + m. Let i be (2\/8)\/((-2)\/t). Sort 4, -2, i, -4 in decreasing order.\nAnswer: 4, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i*p**5 - 20*i*p**3 - 4*i*p**2 - 8*i wrt p?\nAnswer: -600*i*p**2 - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4524 + 4523.8. Let u = 21.14 + -21. Sort a, -5\/6, u.\nAnswer: -5\/6, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 13*h + 20. What is j(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 161 = -7*i. Suppose -2*x = 7*s - 38, 5*x - x = i. Sort 1\/4, s, 3, -1.\nAnswer: -1, 1\/4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -5*(sqrt(190) - (sqrt(190) - 2*sqrt(190))))\/(2*sqrt(90)) - (sqrt(228) + (-1*sqrt(228)*5 - sqrt(228)))\/sqrt(12)*-1)*6.\nAnswer: -39*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(6 - 4 + 0)*(1 - 3 + 0)*(6 + 3 - 1)*(6*r**2 - 7*r**2 + 33*r**2) as k*r**2 + b*r + x and give k.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10958?\nAnswer: 2, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/5 (b) -2\/37 (c) -6 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -510575*g**3 - 372*g**2 - 3 wrt g?\nAnswer: -3063450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 116.05. Let t = p + 239.05. Let m = t + -237.0362. What is m rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -43*n - 163. What is the remainder when 189 is divided by p(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 25*q**2 - q + 28. Suppose 32*v + 4*v = 900. Give d(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636063749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -12015482748.\nAnswer: 12015482749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 10 + 38. Suppose 26*y - 13*y = -d*y. Sort -4, y, -22.\nAnswer: -22, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.77107 days to minutes.\nAnswer: 22710.3408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0631406 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 793744.\nAnswer: 8731184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -645*f**5 - 2*f**3 + 8050*f**2 wrt f.\nAnswer: -38700*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibiiibbbkiuyubbyiy. Give prob of sequence kby.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 240164354?\nAnswer: 240164363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 168727776 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23399960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:19 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.33, -86 in descending order.\nAnswer: 0.01, -0.33, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 6*h. Let p(m) = -m**2 - 2*m + 3. Let w be p(h). Solve -4*f - w = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 8*u + 6. Let h be p(8). Let m(f) = -f**3 + 7*f**2 + 3*f - 3. Is m(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = t - 4*t - 5*n, 196 = -4*t + 4*n. Suppose 4*g - 97 - 199 = 0. Let q = t + g. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 190 = 3*i, -6*i = -3*x - 688 + 1078 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 8*a + 3. Let f be i(-6). Let u = -1900 - -1970. What is the highest common divisor of u and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -911 - -494. Let h = b - -207. Let l = 1880\/9 + h. Find the common denominator of l and -41\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.267, 3.86, -5, -0.2, 15.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3 + 9. Suppose 0*x = j*x. Suppose -5*u - 29 = -f, f + u - 5 = -x*u. Calculate the smallest common multiple of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:03 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -46*g - 328. Calculate w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/70*(1386\/81)\/(-22).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -842, -2987, -7320, -14609, -25622, -41127?\nAnswer: -61892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -5, 270.2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by -8.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16877739 is divided by 753.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 29 = -5*z, -4*z + 17 = q - 5. Solve 8 = -n - 3*j, z*j + 39 - 14 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.54 + -16.63. Which is the fourth biggest value? (a) y (b) -5 (c) -1 (d) 2 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*m + 3 - 5 - 12*m + 2 - 12*m**2 - 363*m**3 wrt m.\nAnswer: -2178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -4*q, -4*a + 10 + 14 = -4*q. Suppose 0 = -9*n + 4*n + a. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-12))\/(-1))\/((-24)\/27).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:23 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3869 + 5582. List the prime factors of g.\nAnswer: 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1)\/(-4)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 15. Let a be w(-4). Let i = a - -1. Suppose 7*p - i*p = 10. Solve -3*q + 3*x + 18 = 0, 5*x - p = q - 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) -1\/3 (c) 2\/45 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - 7. Let s = t - -83. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2369 + 2?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 + 1442. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61670422 (base 8) in base 6?\nAnswer: -1144052030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 206331968 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*q + 4, 2*q - 4 + 1 = 3*j. What is the second derivative of q + 0 - 1273*k**2 + 1353*k**2 + 9*k wrt k?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {a: 1, w: 1, h: 1, d: 10, m: 1, t: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106588381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(896)*-1)\/((5*sqrt(64))\/(6*(sqrt(8)*2 + sqrt(8) - sqrt(8)))).\nAnswer: 384*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 775164642 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3.2 (b) 1 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 97 = -4*m - 37, -m = -5*t + 60. Let j = 17 - t. Suppose 3*n = j*n - 26. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011 - -10?\nAnswer: -10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2441941625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*v, -25*v = 10*r - 24*v - 64945. What is the remainder when r is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*d**2 - 57 - 55 + 113 + (0*d + 3*d - 4*d)*(-3*d + 0*d + 4*d).\nAnswer: 113*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from {p: 6, u: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {n: 4, j: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 h when four letters picked without replacement from {n: 1, c: 3, g: 2, h: 12, y: 2}.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 95\/29, 0.05, -401?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157569?\nAnswer: 3, 53, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2185?\nAnswer: 2\/2185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c - 387 + 14*c - 44*c**2 + 2*c + 387 - 2*c**3.\nAnswer: -2*c**3 - 44*c**2 + 33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*l - 26 - 0, -5*s - 5*l = 35. Sort 4, 7, s, 5 in increasing order.\nAnswer: s, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-418)\/(-7296))\/((-1)\/((-8)\/(-2))).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 23712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 6*d - 2*d + 3*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 4*s\/3 + 2\/3.\nAnswer: 2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431992, -431557, -431122, -430687, -430252, -429817?\nAnswer: -429382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -325379743.\nAnswer: -325379743.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12033130 (base 5) in base 16?\nAnswer: 1b431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*c - 8 = 0, -455*i + 3*c + 12 = -457*i. Sort i, 3, 9, -2 in increasing order.\nAnswer: i, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.05\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 6*v + 11. Let j(f) = -6 + 19*f + 16*f - 5*f**2 - 38*f. Calculate -6*g(n) - 11*j(n).\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**6 - 16*z**5 - 26*z**4 + 67609*z**2?\nAnswer: 480*z**3 - 960*z**2 - 624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 2*d - 2*d + d. Let z(g) = 12*g**2 + 2. What is z(j(n))?\nAnswer: 12*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1710 + -925. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/8 - 15\/3. Factor -6*k + q*k**2 + 2*k**2 + 2*k**3 - 4*k**2 - 4.\nAnswer: 2*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1300) + sqrt(13) + sqrt(39)\/sqrt(3) + 5 + 2)**2 - ((sqrt(91)*-2)\/sqrt(7) + sqrt(1053)*1 - -4*(sqrt(325) + 0))**2.\nAnswer: -7580 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -26*m**3 + 5*m**2 + 11*m + 8. Let f be r(-2). Let c = f - 209. Sort c, 2\/57, -5 in decreasing order.\nAnswer: c, 2\/57, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2400451 + -16.93694.\nAnswer: -17.1769851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -13.77.\nAnswer: 14.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04313361803 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 9) in base 4?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6532055, -13064117, -19596179, -26128241, -32660303, -39192365?\n\"Answer: -6532062*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 598380 and 3130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 3*l**4 + 5*l**4 + (-4*l**3 - 2*l**3 + 4*l**3)*(-2*l + 2*l + l) + 248*l**4 - 89*l**4 + 251*l**4 + 0*l**4 + 2*l**4 + 0*l**4.\nAnswer: 411*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 32 = -m - 25, 2*m - 2*u = -18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.03 + 0.03. Let y = -2\/209 - 1244\/1045. What is the closest to 0.2 in y, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*i - 1432, -6*i + 8*i = 5*f - 1811. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 1442*g**5\/5 + 232*g**3\/3 - g**2\/2 - 579. What is the third derivative of w(k) wrt k?\nAnswer: 34608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/4 - 3*h**3 + 7*h**2\/2 + 9*h - 5. Let m be p(8). Which is the smallest value? (a) 3\/7 (b) 1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:54 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172558 and 1912?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 70?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 169*t - 11315*t**3 + 3346 - 2*t**2 + 2555 + 33930*t**3 - 11307*t**3 - 11310*t**3 wrt t?\nAnswer: -6*t**2 - 4*t + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.847781 - -1217.\nAnswer: 1221.847781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**4\/4 - j**3\/3 + 7*j**2. Let r(d) = -d**2 - 6*d - 2. Let m be r(-3). Let h be m\/(-14)*-2*2. What is b(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -498*-0.067\nAnswer: 33.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2796)\/108 + 14 + 12.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/5, -0.34, -0.4, 30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-62 + 34)\/((-4)\/46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -348 + 351. Solve -f*j + z - 10 = -8*j, -3*j - z = -4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314264, 628532, 942798, 1257062?\nAnswer: 1571324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46757566.\nAnswer: 2, 37, 631859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1070 + 174*u**2 + 33*u - 87*u**2 - 86*u**2 + 38*u wrt u.\nAnswer: 2*u + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 45. What is the tens digit of (833\/(-17))\/(1\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.3 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l - 21. What is j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 4*n + (33*n + 54 - 54)*(-5 + 1 + 3 + (3 - 4 + 2)*(-4 + 3 - 1)))*(1 + 2*n - 1)*(-6 + 1 + 4).\nAnswer: 200*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 829092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 108*d**3 - 11571*d**2 - 11232*d + 22908 = 0 for d.\nAnswer: -46, -2, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -29 - (2 + 1 + 11 + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 0.5417.\nAnswer: 0.1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggndxigdxxxbxx. Give prob of picking 1 n and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v = -30*v + 3661. What are the prime factors of v?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00301572 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*j + 5*z, -5*j = -183*z + 184*z - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvtvvkkwwwvfyt. What is prob of sequence vtyv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:04 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-16\/9)*s\/s**(3\/10))**(-18))**(1\/42) assuming s is positive.\nAnswer: s**(97\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - -38.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 + 13*i + 32. What is t(-4)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 149. Calculate the greatest common divisor of 147 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/(q*q**(2\/7))))\/q)**(-14))**(-16\/7) assuming q is positive.\nAnswer: q**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 143980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + h. Let a be w(-1). Suppose -4*t + 18 = -2*u, 5*u = 3*t + t - 15. Calculate the least common multiple of u and 21 - 11 - (1 - a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*d**2 + 32*d**4 + 121769*d + 8*d**4 - 121770*d wrt d.\nAnswer: 960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 170143621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 + -183. Solve r*o - 7*o + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -908000 to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z - 7 = 0. Let i be (z\/2)\/(13\/(-26)). What is the derivative of i*w + 12 - 7*w - 12*w**2 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 9. Suppose 1 = -d + v. Solve d = -2*q - 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 868 = -2*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 5225505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*h - 110*h = -b - 22, 3*h + 4*b = -54 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(243)*4 + (-2*sqrt(243) - sqrt(243))*-4)\/(sqrt(1296) + -2*sqrt(1296) - 5*sqrt(27)\/sqrt(3)).\nAnswer: -48*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 4*y**2 + 5*y.\nAnswer: -y*(y - 5)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 1240 = 28*c. List the prime factors of c.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3302*q**2 - 99*q - 21. Let n(p) = -660*p**2 + 19*p + 4. Determine -31*n(a) - 6*o(a).\nAnswer: 648*a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a5 (base 11) in base 14?\nAnswer: -2365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-5\/4))\/r*r**(-26)\/r assuming r is positive.\nAnswer: r**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-2)\/1)\/((-12)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 20*d + 85 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.116 + -0.384. Sort x, 2\/15, -13\/6 in descending order.\nAnswer: 2\/15, x, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40864.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 15*o - 12. Let f be l(-16). Let n be 8\/12 + f\/6. Let s(u) = u**2 + 2*u + 2. Calculate s(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 927 (b) 0.4 (c) -2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 6246.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-19070.\nAnswer: 38140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -176, -733, -1654, -2933, -4564, -6541, -8858?\n\"Answer: h**3 - 188*h**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5033781 and 1118618?\nAnswer: 10067562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 2*n + 142392, -2*l = -n + 284796. Round l to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19284)\/(-11220) - (-4)\/34. Let t = c - 21\/5. Is -1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 728723 and 3.\nAnswer: 728726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = 3. Which is the second biggest value? (a) 1 (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 132*f**3 - 22*f**2 + 44*f - 11. Let y(u) = -45*u**3 + 8*u**2 - 15*u + 4. Determine -4*j(o) - 11*y(o).\nAnswer: -33*o**3 - 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 30*i = -128 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2989 or -31.5?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 705826 divided by 3?\nAnswer: 705826\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-778835)\/3445 + 226)\/((-2)\/(-26)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2 + (-4 + 0 + 2)*(1 - 1 + 2) + 3 - 4 + 2 - 1 + 0 + 0 - 1 + 1 + 1 + (-4 - 3 - 2)*(7 - 2 - 1))*(-30 - 47*j + 33*j + 15*j).\nAnswer: -37*j + 1110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33132.68 grams?\nAnswer: 33132680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626907.\nAnswer: 3, 101, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/10))\/z**(-4))**(-33) assuming z is positive.\nAnswer: z**(-1683\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -1. Which is the third biggest value? (a) -0.053 (b) 1\/7 (c) z (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21300 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3196 and 13160?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67615782 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/110 + 0 - 2\/11. Sort w, -11, -2 in ascending order.\nAnswer: -11, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -8*m + 109 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d - 385 = 36*d. Calculate the least common multiple of 14 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w = -9. Suppose 0*g + 4*g = 8. Let n(u) = 5*u + u**g - 4*u - 4 + 0. Give n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let w be ((-6)\/12)\/(2\/(-8)). Let a(x) = -315*x - 303 + 155*x + 2*x**w + 160*x. Give o(a(u)).\nAnswer: -8*u**4 + 2424*u**2 - 183618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = o + 3*a, 16*o = 49*a - 47*a - 102 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**6 + 7*b**6 + 7*b**2 - 5*b**6 + 0*b**6 wrt b.\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -56999*q**3 + 2*q**2 + 3*q + 2. Let n be h(-1). What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -2*6\/(-3). Let i be 1\/2 + 28\/8. Suppose 46 = l*u + 3*c - 7*c, i*u - 3*c - 97 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/144 and 29\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 at most as big as 5521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)\/(-2 - 0). Suppose c = 2*s - 6 - 2. Suppose 44 = -s*d + 112. Calculate the highest common factor of 34 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2012346115892 and -0.2.\nAnswer: -2012346115892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*q + 107 = -635 - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 - 2*q**2 + 4*q + 2. Let d(j) = -7*j + 75. Let b be d(11). Let h(p) = p**3 + p**2. Determine b*h(x) - m(x).\nAnswer: x**3 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14844669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 5. Let l be b(0). Suppose 5*d = 1 + 19. Suppose -h + l = d*h. Solve 0 = -2*f + s + 8, -s - h = -f + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z + 15. Let l be h(-5). Solve -4*m + 3*i + 15 = 8*i, -2*m - 4*i + 6 = l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 - y - 4. Suppose f + 10 = -f. Let l be b(f). What is the units digit of (-8 - l)*(0 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Let r be w(-4). Put 4, -5, r in increasing order.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, 642, 1978, 3992?\n\"Answer: 339*i**2 - 359*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -340*q**2 + 1. Let p(j) = j**2. What is p(u(v))?\nAnswer: 115600*v**4 - 680*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164096059 is divided by 3201.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 1143, 1866, 2631, 3450, 4335?\nAnswer: 5298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*s + 60*s - 252*s - 204*s as y*s + k and give y.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 - 2*z - 2. Let w be h(-5). Let r = 11 + w. Let p be 30\/(-4)*(r + 4). Solve -4*i + p = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3825*o - 3770*o = 0. Let h = 6 + -3. Let r = 5 - h. Solve -r*y - 6 = -o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -413\/2, 0.4 in descending order.\nAnswer: 2, 1, 0.4, -413\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 - 521282*v\/13 + 2085160\/13.\nAnswer: -2*(v - 4)*(v + 260645)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/78 + 1498\/1391.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 54. Let b = 38 - u. Let r be (-20 + 13)*(b - 1). Solve -5*s + r = 3*l, -l + 5*l + 5*s - 6 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - 207.7. Let i = -209.9434 - d. What is i rounded to three decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/163 in -5, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 531 - 327. Calculate the lowest common multiple of 6 and j.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -897.3, -2, -6417\/7 in descending order.\nAnswer: -2, -897.3, -6417\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 610.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:07 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 170660000 to the nearest 1000000.\nAnswer: 171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**3*j**2 - 313811*h**3 - 700*h**2*j - 14*h**2 + 4*j**2 - 9*j wrt h.\nAnswer: -90*j**2 - 1882866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(504)*1)\/(sqrt(175) + (sqrt(175) + (sqrt(175) - (sqrt(175) + 1*sqrt(175))) + sqrt(175) + sqrt(175))*6))**2.\nAnswer: 288\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 2*a + 0*a)*(-3 + 5 - 3).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 0. Let q(u) = -u**2 - u**3 + 552441 - 276216 - 276228 + 5*u. Calculate q(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47588 by -4.\nAnswer: -11897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = -0*q, 3*q = -2*n + 1. Let y be n + 4 - (7 + -5). Differentiate 3*j - 1 - 7*j - y + 6 wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178680, -180334, -183098, -186978, -191980?\nAnswer: -198110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/17 (b) -0.2 (c) 0.461 (d) -1\/13 (e) 12 (f) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*m**3 + 957*m**3 + 799*m**3 + 266*m**3.\nAnswer: 1834*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaajjcjjxaxxxjjxxx. What is prob of sequence aajc?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (23 + -8 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 5*q. Let l = -2 - q. Suppose 0*j - l*j = -76. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50954 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 1 + 0*s + 2*s**3 + 4*s. Suppose a - 3*a + 2 = 0. What are the prime factors of z(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -111, -137, -165, -195?\n\"Answer: -z**2 - 23*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + m = 1898 + 1383, -5*p + 16419 = -2*m. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*q**3 + 163*l**3*q - 2*l**2*q**2 + 49*q**3 wrt l?\nAnswer: -12*q**3 + 978*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqkq when four letters picked without replacement from qeeoeoeeeeqeeqqqeke?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 + 23?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25 - ((-32)\/60)\/2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*v = x + 190, -3*v - 44 = -x. What is the highest common factor of x and 1551?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3484313 (base 9) to base 2\nAnswer: -111001100011111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -5*z. What is the common denominator of ((-6)\/(-150))\/(z\/445) and 89\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 2049417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2971, -4728, -6485, -8242?\n\"Answer: -1757*a - 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 253. Let l = 175 + a. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 5*m**2 + 2*m - 13. Let q be f(-3). Suppose 16 - 4 = -4*k, a = 5*k + 11. Sort a, 3, -2, q in descending order.\nAnswer: 3, q, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1) + (-51)\/17. Let q be (d\/(-3))\/((-16)\/(-12)). Let s = -0.9 - -1. Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9903 = -3159*n + 31164 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -39, -22, 3, 36, 77, 126?\n\"Answer: 4*f**2 - 3*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 3*q + 1. Let b be n(-2). Let o be (-5)\/b*(-12 + 0). Let w be (-6)\/2*2\/(-3). Calculate the highest common factor of w and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - 3. Let d be (16\/6)\/(1*-2). Which is the nearest to 1? (a) d (b) j (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let g(b) = -158341*b + 14. Calculate g(m(l)).\nAnswer: 316682*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - 2*sqrt(720)) + sqrt(25)\/sqrt(5) + 3.\nAnswer: -11*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*f*q + 1046*f + 7*q wrt q.\nAnswer: -49*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29040?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*4\/3)\/(20\/8) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4813*d + 206950. Determine v(-43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*d - 20 - 1, 0 = -d - 3. Is a\/4 - (-2025)\/20 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let i be (8782\/(-2) - 4)*h. Suppose 5*x - i = -5*p, 2*x + 3*p - 1758 = 7*p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s - 8*s**4 + s - 6*s**4 wrt s.\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -l - 4, -3*t + l = -0*l - 8. Let p(k) = 13*k - 1. Let g be p(t). Suppose -h + 4*h - g = 0. Solve 2*i - 4 = 0, -4*i + 23 = a + h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 130*f**2 + 40. Let q(g) = 10*g**2 + 3. Determine 3*m(c) - 40*q(c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 2*v + v + 4*v to i + c*v and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*j + 60808 = -114*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339156.\nAnswer: 2, 3, 463, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 z when three letters picked without replacement from shzcyxzsx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + 84 - (7 - (30 - 2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-15))\/(21\/(-210))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -15*i**3\/2 - i**2 + i. Let y be 1\/(-1 - (-2)\/3). Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 48090?\nAnswer: -24045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 44304 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let o = -14.4 + 14. What is the second smallest value in p, -4, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-9))\/(10\/(-780)*-26)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 2*a**2 + 10*a - 11. Let y be l(-5). Let n be ((-558)\/21)\/(-6) + (-6)\/y. Solve -2*s + 2 = -2, n*s = -z + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -1\/3*j**3 + 0 + 5*j - 5\/2*j**2. Let a be 2\/(319\/(-22) - -14). What is n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9044669, 9044657, 9044639, 9044615?\nAnswer: 9044585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 0)*(0*b - 3*b + 5*b)*(13*b**3 - 37196*b**2 - 18126*b**3 + 37196*b**2) as u*b**2 + q*b**3 + r + y*b**4 + t*b and give y.\nAnswer: -72452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -10*u + 115. Sort 28, u, -2 in ascending order.\nAnswer: u, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61829174 a multiple of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**7\/2520 - s**6\/360 - 5*s**5\/6 - 2*s**2 + 16. Let a(d) be the third derivative of m(d). Determine a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -219. Which is the third smallest value? (a) u (b) 1 (c) -36 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*s - 73, -2*s + 3*n + 40 = 7*n. Does 9 divide 1\/((1 + 1)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1564, -1388, -1212, -1036?\n\"Answer: 176*z - 1740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 14*q - 2*q**3 + 6*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 59008.\nAnswer: 177024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:37 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 555769 divided by -3?\nAnswer: -555769\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 156 - 485 + 161 - 2*g + 168. Let z(o) = 113*o - 6. Let v(n) = -227*n + 11. Let a(s) = 6*v(s) + 11*z(s). Determine l(a(j)).\nAnswer: 238*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 0*d + 4461 = 4605 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167 + 870*u**2 - 3*u + 5*u - 850*u**2 + 60 wrt u.\nAnswer: 40*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((39\/(-5))\/3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 23 - 15 - 1 = 0. Solve -c*z + 2*y = 11, 5*z + 57 = -3*y + 64 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56472811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*j - 7 = 0, -2274*c + 2269*c = -5*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - n - 3*n + 2*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*c - 40*a*o - 2*a + 25*c*o - 3*c - 5*o - 3 with respect to c.\nAnswer: -4*a + 25*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 947682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/((-385)\/44))\/((108\/21)\/(-2)). Sort k, 1.25, -1.\nAnswer: -1, k, 1.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 111?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 108, 175, 244, 315?\n\"Answer: z**2 + 62*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23269, -47364, -71459?\nAnswer: -95554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 92 - 24. Solve t + 0*t = -v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*i + 607 + 1087 + 186 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f + 6. Let s(n) = 1 - 3 + n - 2*n - 4*n. Let l(i) = 4*j(i) + 11*s(i). Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + (28 - (-20 + 28)) + -21\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u + 2151 - 2151 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g + 0*g - 3*g)*(-2 - 1 + 2) - 5*g + 2*g + g - 5531*g + 1252 + 11067*g - 5534*g in the form u + x*g and give u.\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(sqrt(125) - sqrt(125)*-2))**2*1.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 + 106. Let q(b) = 2*b - 3. Let o be q(3). Suppose 3*r = s - 77, 4*s + o*r - x = -0*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 1. Suppose 5*u = -25, -u - 1 - 12 = -4*p. Let l(k) = 4*k**3 + 3*k - 3. Let c(y) = p*l(y) + 6*m(y). Find the second derivative of c(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/8, -0.03, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -416*b - 35915. Calculate d(-86).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 16*q = 3*g - 97, -6*q - 128 = -4*g. What is the remainder when 723 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1 - 0)\/1. Suppose -2*r = -39 - 17. Is (r\/(-10))\/(t\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -14. Is z\/24 + 262\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/60 + 89\/(-6). List the prime factors of 14\/35 - (1254\/o + 1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 27*x**4 - 2 + 2*x**3 + 10*x - 25*x**4 + 0*x to s*x**2 + r*x + y*x**4 + t + o*x**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -39\/643?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9600 divided by -1200?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (268\/(-1742))\/((-1)\/(-3))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1335 + 10040 = 5*u, u = 5*p + 1741. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 187 = 4*a, -2*a = -3*l - 0*l - 551. Let j = -164 - l. Let k = -24 + 35. Calculate the remainder when j is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522580 + 34*p - 761287 - 761293.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 34011798.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f\/(f*(f\/(f**(2\/121)\/f))\/f)))\/f)*f\/(f*f**(4\/29)))**(1\/34) assuming f is positive.\nAnswer: f**(-213\/59653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + (-9 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*f + 140 = -356*f + 532 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1586, -1665, -1812, -2027, -2310, -2661?\nAnswer: -3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x - 21. Suppose -10*m + 30 = -7*m. Let c(y) = m + 6*y + 11 - 4 + 3. Let g(o) = 5*c(o) + 4*u(o). Differentiate g(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.4, 2, 2\/7, 360?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.366 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/1831 - 112555\/175776. Find the common denominator of c and 101\/276.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -268*c - 104512. What is o(-390)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*z**2 - 6 + 178*z**2 + 6 - 94*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/24 - r**3\/3 - 7*r**2\/2 - 7. Let d(f) be the second derivative of i(f). What is the first derivative of d(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 9:35 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1537 - -1520. What is the nearest to -0.2 in -1\/10, -4, -1, y?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 g when four letters picked without replacement from gssyssgssggggsgsgsgs?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 257. What is the remainder when 4\/(-6) - 167\/(-3) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -7*m - 7, 46*k - m = 42*k - 61 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (60 + -54)*((-8)\/6 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122 + 21220?\nAnswer: 111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*s - 31, -51*v + s - 28 - 20 = -44*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 7*p - 3. Let b = -26 - -32. Give f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2441 - -1058a?\nAnswer: a149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**2 + 0*w - 1\/3*w**3 - 1\/24*w**4 + 0. Differentiate x(u) with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -34. Let b = r + -1. Solve -9 = b*o + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*d - 6 = 0, -45 = -5*v + 2*d + 3*d. Suppose 0 = -v*h + 2*h. Suppose h*g - g = -9. What is the smallest common multiple of g and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 - 2) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.5322841 to zero decimal places.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 2426*k + 24339. Determine p(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329 + -329.00071. What is k rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 2, f: 1, k: 1}. Give prob of sequence zkh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y + 59*y**3 - 63*y**3 + 12*y wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 446.424g?\nAnswer: 446424000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -397 or -401?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose z*p = -4*p. Suppose p*q = -2*q + 36. Calculate the remainder when 53 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 617447, 1235186, 1852923, 2470658?\n\"Answer: -m**2 + 617742*m - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11220 and 5060?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65)*2))*-1)*6)\/(sqrt(50)\/(-4*(sqrt(10) + sqrt(20)\/sqrt(2)))).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 10 - 276*r - 25 - 26*r - 6*r**2.\nAnswer: 2*r**2 - 302*r - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437.999499 - 438. Round x to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 18\/7*r**4 + 16\/7*r**2 + 2\/21*r**6 + 16 + 0*r + 80\/21*r**3 + 4\/5*r**5. Let h(l) = 0. What is l?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5 - 2 - 4*x + 6*x - 2. Let a be p(1). Suppose -a*q = q - 20. What is the remainder when 12 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/60 - p**4\/3 - 7*p**3\/6 - 2*p**2. Let b(m) = 38*m - 2. Let d be b(1). Suppose -7*g + 13*g = -d. What is w(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.478t to kilograms.\nAnswer: 61478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -22*r**2 + 417*r + 23. Determine z(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27) + 2412\/(-81) + 8\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/3))**(-14)\/(a\/((a*a**18)\/a))**41)**(-2) assuming a is positive.\nAnswer: a**(-4126\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.10000067 - -0.1. What is g rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 6*m + 45. Let o = 6 - m. Let i(c) = -o*c - 14*c + 22*c. Let z(r) = -2*r**2. What is z(i(h))?\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9775571s to milliseconds.\nAnswer: 977.5571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 6*c**2 + 19*c + 7. What is the hundreds digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*x + 237 = 0, 4 = 4*x - 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/195 + 7\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 356\/30 - (4 + 248\/(-60)). Let x be ((-4)\/(-10))\/(l\/(-10)). Which is the third smallest value? (a) 4\/15 (b) -2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19582 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 111?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 0*x)*(36 + 12 - 89).\nAnswer: 82*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*(-112)\/42\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 58868 = 2*t + 3*j, 4*j + 117796 = 4*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.1699.\nAnswer: -0.8495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-39)\/52*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*m + 14, 19*u - 32 = 15*u + 5*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u**2. Let i(s) = -4*s - 3012077. What is i(q(z))?\nAnswer: 36*z**2 - 3012077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:10 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + -2. Let w = -1354 - -1378. Let u = w + x. Solve u*m + 24 = -3*b, 8*m - 3*m - 4*b = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/3 in -4, 2, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -146*i + 801. Determine h(-4).\nAnswer: 1385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 9}. What is prob of sequence obbb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 9) to base 4.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1675\/(-10) + (-2)\/(12\/15). Let u = s + 204. Calculate the highest common divisor of u and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 1 a when three letters picked without replacement from wcwwcewwccwcaoacio?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125365*r**4 + 497*r**3 + 27477*r**2 - 5675*r wrt r?\nAnswer: 3008760*r + 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 8*x + 3. Let v be j(9). Let c be ((-213)\/(-6))\/((-3)\/v). Let y = c + 4. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*c - 6*c. Let f(y) = -10 - 6*y - 14 + 26 + y**2. Let t be f(c). Solve 0 = -3*g + 2*u - 19, -g + 4*u = t*g + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14445696 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 + 2*d + 3. Suppose 25 = -2*l + 3*x, -3*l - x - 4*x = 28. Let b = l + 7. Calculate the remainder when 20 is divided by i(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*g = r + 18, -12 = 3*r - 3*g. Let m be 4*((-5)\/r)\/5. What is the units digit of 11 + -6 + 2\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p + 2*b, p + 5 = 5*p - b. Let t be -1 + p\/(15\/(-5)). Is -2\/7 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n. Suppose 2*s = h + 44, s + 0*h + 2*h - 17 = n. Let c = s - 8. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 14*v**2 - 24*v - 55. Let t be c(-6). Calculate the greatest common divisor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 15134*k = 15132*k + 206, 0 = s + 3*k - 320 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -45, -144, -287, -468, -681, -920, -1179?\n\"Answer: j**3 - 31*j**2 + 37*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44728 is divided by 1056?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 22 = -22. Suppose -o = -7*z - 4*z. What is the smallest value in 3\/5, -0.1, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t + 1. Let q be j(-2). Let d = -16 + q. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3410)\/(-264) - (-5)\/60. Which is the second smallest value? (a) u (b) 1\/3 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, l: 11, r: 3, a: 3}. What is prob of picking 1 r and 2 a?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 + 224 = 0. Let s = 12 - 8. Find the third derivative of f*v**4 - 3*v**6 - 2*v**2 - 228*v**s wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-26 + 1200\/45)*(-377127)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*o - 19. Let k = -0.6 - 1.4. Which is the closest to k? (a) -1 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 13. Let w(o) = -3*o - 60. Let m be w(-18). Give h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + (0 - -4))\/(-1 + 0). Suppose -10*l + 9*l + v + 19 = 0, z = -4*v - 16. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let a = 0.07 + 0.2. Let q = a - -0.03. Sort q, -1\/3, x.\nAnswer: -1\/3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 104012 - 126794 = 269883. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*g + 1196*g**3 - 355*g.\nAnswer: 1196*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2. Let h(m) = -3*m**2 - 5*m + 1. Calculate -h(v) + r(v).\nAnswer: 4*v**2 + 5*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 + 20 = h, 5*h = 5*b + 130. Solve -26*f + 2*g - 4 = -h*f, -14 = f + 3*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*a**2 + (-a + 0*a + 0*a)*(-1 + 1 + a) + 3*a**2 - 3*a + 3*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1405586543*a + 1405586543*a - 11*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/(-32)*3496\/(-138))\/(2\/(-6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-9))\/t)**(-47)*((t**(-12\/11)*t)\/t)\/(t\/(t*t\/(t*t\/t**(-1\/32)))) assuming t is positive.\nAnswer: t**(148149\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -2 + 11 + 1. Let p(i) = -i**2 - 10*i - 7. Let s be p(-8). Suppose h + s = -3*f. Which is the biggest value? (a) f (b) 12 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 5, d: 3, w: 1, a: 1, x: 1}. What is prob of sequence xma?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*w - 3628 = 21019 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + s**2 - 3*s**2 + s**3 + 4*s + 0*s**2 as t*s**4 + h*s + q*s**3 + a*s**2 + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 4*w - 71. Let s(x) = 9*x**2 + 10*x - 143. Determine 5*n(i) - 2*s(i).\nAnswer: 2*i**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.0253 (c) -1 (d) 9588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(3\/(-1) - -5). Suppose v = -3*s - 5*q + 95, -161 = -4*s - 4*q - 37. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -l + 2, -2*o = 3*l + 14. Suppose 6 = i - 5*i + 2*x, 0 = -2*i - 4*x + 12. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 80 = z + 2*g, 336 = 5*z - g. Let u be 3\/(-6)*((0 - -1) + 55). Let v = u + z. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799023888.\nAnswer: 2, 3, 11, 53, 135757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1 - (-15 + 1). Let y = -14 + u. Suppose -2*z - 2 + 0 = -4*a, y*a + 8 = 4*z. Solve z = m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 30 = -21*f. Let x(l) = -l**3 - 8*l**2 + 20*l - 4. Let h be x(f). Let b(d) = d**3 + 8*d**2 - 2*d - 2. What is the tens digit of b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402289427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 3467114*t + t**3 - 5 + 2*t**3 + 3467119*t. Let f(i) = 5*i**3 - 7*i**2 + 10*i - 9. What is -4*f(q) + 7*l(q)?\nAnswer: q**3 - 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404627, 809095, 1213561, 1618025, 2022487, 2426947, 2831405?\nAnswer: 3235861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1)*-2*3\/6. Let a(h) = 3*h**2 - h - 1. Calculate a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/4 - 1 - (-4 - -1). What is the units digit of (2\/4*0 + f)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-12) - 3\/12. Suppose 6 = t - d. Suppose -5*a = -t - 58. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - -55. Let m = h + -274. Round m to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.121, 37, 1699, -2\/7.\nAnswer: -1, -2\/7, -0.121, 37, 1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-2) + (101 - 118).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*v = -427*v - 352 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024 + -10.\nAnswer: -10.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1242 and 119\/594.\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttrt when four letters picked without replacement from rtrttttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-153)\/(-3672) - 7\/(-24). Let x(u) be the second derivative of -1\/3*u**3 + 32*u + 1\/2*u**2 - c*u**4 + 0. What is x(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-656)\/(-7216))\/(1\/(-814))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -943?\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 2*d**2 - 4*d**2)*(d + d**2 - d) + d**4 - 5*d + 3*d - 3*d**4.\nAnswer: -10*d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0*s + 2*s)*(0*s**2 + s**2 + s**2).\nAnswer: 4*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 + b?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182396 - 40951. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -179 or -17599\/98?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5867*r - 2927*r - 2919*r.\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -0.21. Let i = -0.74 + n. Which is the smallest value? (a) 2\/3 (b) i (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53206 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 7) to base 13.\nAnswer: 112a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**4\/6 - i**3\/3 + i**2\/2 + i. Let a be c(1). Let z = 6 - a. Calculate the greatest common divisor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -47\/5 (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2. Suppose 4*c - 5*y - 1 = 0, 3*c - y + 3 = -c. Let l be a(c). Let o(d) = 2*d**2 - 2*d + 11. Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734117081.\nAnswer: 734117081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(-15)*i))\/i)**(-3\/8) assuming i is positive.\nAnswer: i**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71.41 - 46.22. Let z = -25.6 + -0.4. Let p = k + z. What is p rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 i, and 1 n when four letters picked without replacement from {n: 4, h: 1, e: 3, i: 2, m: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54827, -54851, -54875?\n\"Answer: -24*d - 54803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10032 (base 9) to base 4\nAnswer: 1212332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 2*m**2 - 8*m**3 - 2 + 6*m + 4*m - 9*m in the form p*m**2 + j*m**3 + d + r*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g + 6. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 11*n + 4. Let v be b(-9). Suppose 3*f - 498 = 5*w + v, -845 = -5*f + 4*w. Calculate the greatest common factor of 66 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**5\/30 - 41*b**2. Let d(n) = -15*n. Calculate v(d(c)).\nAnswer: -450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c. Let i = -12 + 19. Let j(u) = -u**2 - i + 4 + 3. What is j(w(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00138432469 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z + 2. Let k be p(-5). Let b = 7 - k. Suppose -5*x - 3 + 0 = l, -l - x + 1 = b. Sort -3, l, -1 in descending order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 35\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose -p*y + 3*y - 5 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (sqrt(272) - sqrt(272)*-2) - (5*sqrt(425) + -3*sqrt(102)\/sqrt(6))) + 5)*-4)**2.\nAnswer: -320*sqrt(17) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 682309103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-36)*g*g**44\/g)**(-7\/8))**17 assuming g is positive.\nAnswer: g**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (-3 + -2))*-1. Solve s*q - 4 + 19 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811076027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 576. Suppose 4*v = 5*m - 165, 2*v + j = 4*m + 18. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 818*f + 2436*f + 193*f + 1905*f + 946*f in the form r*f + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29702 (b) -0.4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153862 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*j + 4*l, 5*j - 2*l - 24 - 138 = 0. Solve 0 = j*o - 8*o - 26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501174752?\nAnswer: 2, 13, 29, 41543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -5\/3, 0.6, -186\/97, 0, 1 in increasing order.\nAnswer: -186\/97, -5\/3, 0, 3\/8, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11437*g - 2755773 = -11446*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43138*u**5 + 15755*u**2.\nAnswer: -2588280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by 9?\nAnswer: 124\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 + 7*a + 8. Give i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -140*x**3 - 2*x**2 + 19*x + 66. Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 9.7 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/120 + f**5\/15 - 5*f**4\/12 + 4*f**3\/3 + 1248*f**2. Determine x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {f: 4, z: 3, v: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*c**3*s**4 + 4*c**3*s**3 + 224*c**3 with respect to s.\nAnswer: 516*c**3*s**3 + 12*c**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 64. Let f be p(-23). Solve 2*u + f*k + 17 = 0, 5*u - 9 = -k + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 32. Let l be (-33)\/(-7) + (-9 - -4). Which is the nearest to l? (a) -2\/17 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v**(-2\/9)\/v)*v*v**(2\/3)*(v**2)**(12\/7))**(-25) assuming v is positive.\nAnswer: v**(-14675\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + -3?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -12, -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3674 - -0.0674. Which is the smallest value? (a) j (b) -1\/5 (c) -1\/78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5 + 2 - 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 6. Let i be p(-5). Let k = 1 - i. Let t(n) = -2*n**2 + 0*n**2 + 0*n**k. Let d(a) = 4*a**2. Determine t(d(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Suppose 55*t - 56*t + 1 = 2*u, 2*t - 4*u - 10 = 0. Let k = 239\/7 + -34. Which is the second biggest value? (a) y (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**12 assuming h is positive.\nAnswer: h**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 153 = 5*u, -5*u + 180 = i + 4*i. Calculate the lowest common multiple of 9 and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59961 is divided by 923.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4633 divide 431089505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*b + 9*b = 3*y - 10, 0 = -b + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -5\/12619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-6) + 1 + -1 - (-5 + 2). Solve f*g = -2*g - 10, g - 3 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116\/7*o**2 + 0 + 20\/7*o + 144\/7*o**3 = 0 for o.\nAnswer: 0, 1\/4, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 3*k**2 - 5*k - 4. Suppose -8*o + 3*o = 20. Let j be h(o). Factor -2*p**3 - 2*p**4 + j*p**4 - p**4 + 0*p**2 + p**2.\nAnswer: -p**2*(p + 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j**3 + 2*j**3)*(-2*j - 1 + 1) + 0 + 0 - 2*j**4 - 3*j + (0*j**2 - 2*j**2 + 5*j**2)*(2*j**2 + 3*j**2 - 2*j**2).\nAnswer: 5*j**4 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -50.0828?\nAnswer: 42.0828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - (-1 + -2 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13539266 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/1470 + (13 - (-3252)\/(-252))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - h = 7, 5*l + 4*h - 8 - 3 = 0. Let g be (1\/(-2))\/(l\/(-24)). Suppose -g*f + 11 = 3*d, d - 17 = -2*d + 2*f. Let n(w) = -w + 2. Give n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(720))**2 + (0 + sqrt(5))*3)*-2.\nAnswer: -1438 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + (-405)\/(-21). Let v(l) = l**2 - 30*l + 203. Let f be v(19). Let o be f + -1 - (19 - h). Which is greater: o or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hppappfpaafpf. Give prob of sequence apf.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 + 2*x**2 - 1. Let z be r(-1). Let g be 3\/1 + 0\/z. Suppose 0*h = -h - 5*v + 16, 0 = 3*h + g*v - 24. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 891 + -727. Does 82 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 4817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 6*y**2 + 3. Let k be x(5). Let q = -50 - k. Let w = q - 34. What is the greatest common divisor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2 + 830*l - 2445 = 0. Calculate l.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 4, 5350, 18, 30 in descending order.\nAnswer: 5350, 30, 18, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 6*c - 3. Let m be n(7). Suppose 2*u = m*u. Suppose u = b - 3*b. Solve -3*o + 2 + 1 = b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 52 = 3*n, -4*n = -2*q - 2*q + 248. Suppose 0 = -4*l + 3*o + 72, -q - 8 = -3*l - 3*o. Let h = l - -4. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14324 is divided by 247.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 99 = 19*c. Is 1\/c - 99254\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1300500, -2600982, -3901464, -5201946, -6502428, -7802910?\nAnswer: -9103392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 3342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 11650 + 27260. Let s = o - -10078. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-2)**2 - (1 + (sqrt(3) + 1)**2))*6*2.\nAnswer: -24*sqrt(3) + 2244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 + 13*n - 11. Let c(x) = 5*x**3 + 7*x - 6. Suppose 243*f - 54 = 252*f. What is f*w(h) + 11*c(h)?\nAnswer: h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1389, 1406, 1433, 1476, 1541, 1634?\n\"Answer: k**3 - k**2 + 13*k + 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m + 1 + 37*m - 6*m + 23*m. Let x be g(1). Suppose 3*v - 49 - 8 = a, -4*v = -3*a - x. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 79, 2, -23 in decreasing order.\nAnswer: 79, 5, 2, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151 and 15553.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuaimai. What is prob of sequence iu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and -1.597?\nAnswer: 0.38328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11266 and 434386?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 - 17 - 32 + 30)*((-3 + 3 + 1)*(0 - 4 + 2) - 5 + 4 + 0 + 5 - 1 - 1 + 4 + 0 - 3) - 2*f**4 - f**3 + f**3.\nAnswer: -5*f**4 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + sqrt(117) - sqrt(117)) + sqrt(117) - sqrt(65)\/(1*sqrt(320)))**2.\nAnswer: -115*sqrt(13)\/4 + 8477\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = b + 11, -4*n = -5*b + n + 5. Let y(i) = 4*i. Let c(h) = -7*h - 1. Let p(g) = b*y(g) + 3*c(g). Let v be p(-4). Is 1 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*j**5 + j**5 - 67*j**5 + 166*j + 54*j**5 wrt j?\nAnswer: 2100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6152534.\nAnswer: 2, 1103, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -7*c**2 + 8. Determine x(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4191\/254*-2 + 296\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1070173815686 from 6.\nAnswer: 1070173815692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdq when four letters picked without replacement from qdqqqqqqdqqqqqqqqdqq.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let t(u) = 11 - 10*u - 11. Calculate b(t(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 135240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -79, -704, 3, 1 in increasing order.\nAnswer: -704, -79, 1, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 2290*z**2 + 15815*z - 13530.\nAnswer: 5*(z - 451)*(z - 6)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)*w)\/w*w*w**(-6)*(w*w**(-1)*w*w)\/(w\/w**2*w)*(w\/w**1)**30*w\/((w\/(w**4*w))\/w)*w**(-3\/2) assuming w is positive.\nAnswer: w**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31994 divided by 4\nAnswer: 15997\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12215887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -3*j - 6265. Suppose 1388 = 2*l - u - 395, -l = -4*u - j. Is 48 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*n - n**4 + 3*n - 3*n + 3*n wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -83. Let u be 16600009 - (-7 + -2)\/(-3). Suppose 2*p - a*r - 3985413 = -20585407, 2*p = -3*r - u. Round p to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + 3 - (-40)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/9 + 7\/45. Let a be (9\/2)\/(6\/(-64)). Let f be (18\/a)\/((-9)\/(-4)). What is the nearest to q in f, 0.5, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11548*j - 6143512. Determine z(532).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60914*r - 30731*r - 30733*r.\nAnswer: -550*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:42 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)\/(b\/(b**(-2\/5)*b))*b**(-2)*(((b**(-2)\/b)\/b)\/b)\/b*b*(b\/(b\/b**(2\/3)))**50\/(b*b*b**(-1\/3)*b*b)**(-6\/17) assuming b is positive.\nAnswer: b**(5413\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + 0.5. Suppose 0 = -3*i - 5*b + 143, 2*b - 130 - 84 = -4*i. Let z = i + -225\/4. What is the nearest to z in -5\/6, -1, p?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let o(p) be the second derivative of 22*p**3 + 104*p - 1. What is o(s(b))?\nAnswer: 396*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*t = 25, 5*z = 4*t + 1089 - 1073 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -23*v**4\/24 - 91*v**3\/6 + 4*v**2 + 6*v - 87. Let p(m) = 0. Calculate m.\nAnswer: -8, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let g(s) = -s + 4. Let m(b) = -g(b) - 4*x(b). Let h(v) = 4*v + 3. Let r(t) = -5*t - 4. Let q(k) = -4*h(k) - 3*r(k). Determine m(q(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14224187 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3254465789 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 - 3*j + 4. Calculate k(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 520 - 330. Does 23 divide l\/(-38) - 876\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Let i be j(5). Let u = i + 5. Suppose u*g = -n - 1, -3*g - 2*n - 12 = -5*g. What is the closest to -0.1 in 0, 0.3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*v - 20*v - 1770. Solve -v*x + 172*x = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Let i = -47 - -46. Let z(y) = y. Let n(w) = -20*w. Let s(g) = i*n(g) - 6*z(g). What is r(s(p))?\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 390455*g**2*v**3 + 6*g**2*v - 4*g**2 - 723512*g*v**3 + 5*g*v - 3*v**3 wrt g.\nAnswer: 780910*v**3 + 12*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 504.3 - 505. Which is the third smallest value? (a) -0.01 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10034?\nAnswer: 2, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38929907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 160.7. Let s = p + -34.9. Round s to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 7*y - 8)*(2 - 2 - 1)*(0 + 2 + 5) to u + j*y and give j.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*k. Suppose 8*n - 4*n - 524 = k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 5. Let h(a) = -2*a - 1. Give -22*h(y) + 6*w(y).\nAnswer: 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/52 + 113870\/(-18213). Let a = 2\/467 - t. What is the common denominator of -47\/33 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 24. Suppose -m + 3*m = o*w, 5*m - 15 = 2*w. Solve -4*d - m*h + 7 = 0, 0*d = 2*d + 4*h - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and 0.2?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + r + 2 = 0, -4*v + 3*v - 3*r = -8. Let m(d) = -9*d**v + 0*d**2 + 10*d**2. Let o(w) = -w - 3*w + 2*w. Calculate m(o(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-3) - -19)*1. What is the third derivative of -7*n**3 - 53*n**2 + u*n**2 + 26*n**2 wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -3. Suppose -369*h - 440 = -373*h. Let y be (-86)\/h + (-52)\/(-286). Sort 0.2, r, y, 0.4 in descending order.\nAnswer: 0.4, 0.2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 95901572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 19. Let f be w(-6). Let l(z) = 2*z**3 - 18*z**2 - 7*z - 32. Is l(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + 2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131054 and 28?\nAnswer: 262108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 127.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/91)*i\/(i**7*i) assuming i is positive.\nAnswer: i**(-639\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.5, -1, -268?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, u: 1, f: 1, p: 4, t: 4, a: 6}. What is prob of sequence ftpp?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -8)*2\/4. Suppose -c + 0*c - 12 = i. What is the smallest common multiple of 8 and (c\/15)\/(3\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32129612 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 325164 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: Simplify -1*(((sqrt(171) + 3)*5 - sqrt(171)) + 2*sqrt(171) + 2)*4*2.\nAnswer: -144*sqrt(19) - 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 11. Let d = c + 11. What is the second derivative of -8*r**5 + 3*r**5 + d*r + 2*r - 2*r wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21570 and 9253530.\nAnswer: 9253530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1268*j + 82700 - 82700 as o*j + x and give o.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16363279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 4, h: 3}. Give prob of sequence mmvh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24994541 times 10\nAnswer: -249945410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1037 + 1041. Solve -t*o - 5*k + 7 = 0, 11*k - 8*k - 6 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 23 = 17. Factor -23 + 36 - m*f**2 - 18 + 10*f.\nAnswer: -5*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (1 - 2 - -2). Let s be (h + 2)\/(2\/25). Let q = -1537 - -1541. Solve p - s = -q*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 - -7?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:37 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7332\/(-39))\/(-2)*-1.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2864.158 - 2867. Let s = 0.158 - h. Let p = -5 + 10. What is the nearest to 1 in p, s, 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, x: 4, k: 3, d: 1, e: 5}. Give prob of picking 1 x, 1 k, and 2 e.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(6813 - 3102 - 3449)*(-3*z**5 + 0*z**5 + 2*z**5)*(0 - 1 + 5).\nAnswer: -2096*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 3 + 20 - 16)*(-17 + 3 - 2) to v*c + b and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/4)\/((-6)\/16). What is the smallest value in 0.5, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**3\/3 + 21. Let k be 1 - (1 + 1) - -5. Let b(d) = 1 - k*d**2 - 1. Calculate b(w(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:11 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:48 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -50?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 5*b**2 - 2*b**2)*(-23*b**2 - 2439*b + 2439*b) + 4*b**4 - 2*b**4 + 7*b**4 - 3*b**4 - 2*b**4 + 3*b**4.\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -225, -640, -1267, -2124, -3229, -4600, -6255?\n\"Answer: -3*o**3 - 79*o**2 + 37*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 1 - 1)*(-109*u**2 + 249*u**2 - 119*u**2 + 2).\nAnswer: 42*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-513)\/(-57) + 210\/(-32) and (-2)\/6 - 710\/(-132).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.01 - -1. Let k = 1727 - 3457\/2. Which is the second biggest value? (a) -0.5 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2110\/24 - (-3)\/12. Let d = 276 - 364. Let w = d + g. Which is the second smallest value? (a) 0.07 (b) w (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -13, -23, -35, -49, -65, -83?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4200.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 481.7532 days?\nAnswer: 11562.0768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*b - 4*k - 6 = 0, -8 = -4*b + 2*k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17143119*w**4 - 9*w**3 + 191*w + 23151.\nAnswer: -205717428*w**2 - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.046 (b) -5 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865807917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 21*o - 59. Let v be g(-20). Let k = v - -46. Solve -k = -w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 67105896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93952 - -206954. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 15. Factor 0*c**4 + 4*c - 7*c**2 + 8*c**3 + c**2 - 2*c**q - 4*c**2.\nAnswer: -2*c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 72.77. Let r = -1.3 + y. Which is the biggest value? (a) -1\/4 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l - 2)*(-6*l + 2*l + 2*l) + (l - 2*l + 20*l)*(0*l + 3*l - 5*l).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -146\/40031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120011010200 (base 3) to base 13.\nAnswer: a59b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378481531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187343, 749397, 1686153, 2997611, 4683771, 6744633, 9180197?\nAnswer: 11990463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202319.754 rounded to the nearest 1000?\nAnswer: -202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101950041?\nAnswer: 3, 31, 487, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/80)\/((-8)\/(-32)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77917 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18. Let b be (h - (-4)\/(-5))*(-3 - 17). Solve 0 = -5*z - b + 41 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - 5*f**2 + 2*f + 7. Let h(s) = 12*s**3 + 9*s**2 - 3*s - 13. Let n(v) = -3*h(v) - 5*k(v). What is n(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/286)\/(27675\/(-2925))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-958)\/(-6) - 1) + (-44)\/(-33)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 3*n - 2. Let r(w) = -4*w**2 - 3*w - 2. Let x(o) = -3*d(o) + 2*r(o). Calculate x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {g: 1, p: 4, z: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 12*d + 8 - 17.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5173 is divided by 283.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -793 + 813. Calculate the greatest common divisor of 355 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r - 1. Let g be m(-2). Let x = g + 21. Solve -x = -8*a + 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2656, 2660, 2664, 2668, 2672?\n\"Answer: 4*p + 2652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87715 is divided by 1204?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53\/15 - -11\/3. What is the second smallest value in h, -1, -16\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*z + z = 26, 0 = -4*r + 4*z + 16. Let o(s) = s**2 - 9*s + 2. Let b be o(r). Let f = b - 1. Sort 3, f, 4 in descending order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 4, -416, -14, -5, 1 in descending order.\nAnswer: 121, 4, 1, -5, -14, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from ssbyb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3960 = 6163*t - 6031*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 126939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) - (sqrt(475) - 2*sqrt(475)*6 - sqrt(475))) + 3)**2 - (sqrt(1539)*2 + 0 - ((sqrt(1539) + sqrt(1539) + -1)*-4)**2))*4.\nAnswer: -816*sqrt(19) + 715184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -14\/5, 6 in decreasing order.\nAnswer: 6, 0.5, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/20 - 49\/(-4). Suppose 0 = -3*w - s. Is (w + 2)*(-398)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 1128.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 533903 plus -2281907.6?\nAnswer: -1748004.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 24 - 2)*(-2 + 2 - 4*x)*(-x + 4 - 4).\nAnswer: -112*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f + 64*f - 7*f - 31*f + 9*f)*(17*f**2 + 5*f - 5*f) to the form c*f**2 + p*f + o*f**3 + n and give o.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146191 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 2. Let s(a) = 1 + 17*a + 7*a - 37*a + 14*a. Determine -3*c(v) + 5*s(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -9347638.\nAnswer: -9347638.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:32 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/30 - 24*z**2. Let k(w) be the third derivative of w**5\/15 + 2*w**2. Give p(k(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 3*m. Suppose 0 = -2*p - 2*g - m*g + 20, -2*p - g = -17. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -165, -168, -173, -180, -189, -200, -213?\n\"Answer: -d**2 - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7793667 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-5) - 917\/35. Let m = 47 - l. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1301, -1\/2, 0 in increasing order.\nAnswer: -1\/2, 0, 1301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-310)\/(-6)*924\/(-1540).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -18. What is the closest to 1\/2 in -2\/9, n, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -45, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5))**36 assuming y is positive.\nAnswer: y**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**0)\/q)\/(q*q**(-2\/13)))\/(q*q\/(q*q**(2\/7)\/q*q))**(32\/3)*(q**(-2\/3))**(4\/9)\/(q**0\/q*q*q\/(q*q*(q**(2\/21)\/q)\/q)*q) assuming q is positive.\nAnswer: q**(-26207\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-2) + (-1)\/1. Let i(w) = 2*w**2 - 91*w - 5777. Let v be i(-36). Calculate the greatest common divisor of v and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 281, 247, 215, 185, 157, 131?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 304\/1513883 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, z: 5}. What is prob of picking 3 y and 1 z?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5*2\/12)\/(6\/36). Solve 3*s - 3*x + 8 = 8*s, 0 = -c*s - x + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i. Let a be j(-1). Suppose -3*w = x, -4*w + a*w = 5. Suppose 0 = 5*k + 3*p - x, -3*k + 14 - 5 = 5*p. Solve 2*m + k*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 614847218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*h + 34 + 40 + 8*h**2 + 42*h + 26 - 3*h**2.\nAnswer: 5*(h + 2)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 5*t**2 + 8*t + 1. Let y(a) = 7*a**3 + 2*a**2 - 3*a - 8. Let b be y(-2). Let j = b + 47. Let m be 3\/3*-5 + (-4 - j). What is o(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/80568 and 59\/920160.\nAnswer: 343219680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 5. Suppose u - d = 1. Let r be (14\/12)\/7*u. Which is the smallest value? (a) -3 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 1 - (-41 + 23)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -9\/4*u + 1\/2 - 5\/4*u**2 = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c - 1. Let k be x(-3). Let t(p) = p**3 - 4*p**2 + 3*p. Let a be t(3). Suppose 2*u - 5*f - 167 = a, 2*u - 190 = f - k. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59816 divided by -11384?\nAnswer: 7477\/1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*n - 18. Find the third derivative of -8*m**5 - 2*m**2 + 3*m**6 + 17*m**5 + 5*m**n + 8 - m**2 wrt m.\nAnswer: 360*m**3 + 540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 209518, 419043, 628570, 838099, 1047630, 1257163, 1466698?\n\"Answer: d**2 + 209522*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ec5 (base 16) to base 3.\nAnswer: -12012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = -9. Suppose -110 = a*u - 6*u. Suppose 57*x - u*x = -6. Let q(b) = b**3 + 2*b**2 - 3*b - 4. Give q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - l**3\/6 - 7*l**2\/2 - 28*l + 3. Let a be 0*(-3)\/((-6)\/(-2)). Determine b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1078)\/(-147) + ((-8)\/6 - -1) + 3592.\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-20 + -4). Let t be (n - -2)*(-6)\/(-6). Let v = t - -15. Sort -3, v, 2 in increasing order.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7230 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 52*h**4 + 4*h**3 - 3*h - 18. Let p(i) = 155*i**4 + 11*i**3 - 8*i - 54. Let q(s) = -4*p(s) + 11*w(s). Find the first derivative of q(b) wrt b.\nAnswer: -192*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 29*v + 412. Give t(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 306836624, -0.5 in decreasing order.\nAnswer: 306836624, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75196260 and 10760.\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/28*((-42)\/(-90))\/((-12)\/30)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56932 at least -56933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00237688 to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 4*f)*(1 - 1 + 2*f**2) + (-1 + 4 - 1)*(f**3 + f**3 - 3*f**3) + 2*f**3 - 5*f**3 + 0*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 12070?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984759?\nAnswer: 3, 17, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (46\/4 - 1). Let w = 9 - n. Which is the nearest to -0.1? (a) w (b) -3\/7 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 7 - 8 - (2 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101011010 (base 2) to base 16.\nAnswer: -2b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27166897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197.81 - -70.62. Let d = -128 - t. Let p = 1.5 + d. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 10638972.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2. Let o(t) be the second derivative of 29*t**3 + 4*t**2 - 2*t + 2450. Give h(o(k)).\nAnswer: 60552*k**2 + 5568*k + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -151918\/5 in 2, 3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 24*k**2 - 51*k + 6. Let s(i) = i**2 - 2*i + 1. Let v(o) = g(o) - 6*s(o). Find the second derivative of v(p) wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*y = 19*y - 436 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 - -232.5. Which is the nearest to -0.1? (a) 4 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7095*n = -7119*n - 276000. Which is smaller: -11501 or n?\nAnswer: -11501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 3. Let r = k + -15. Let f = -1.258 + -2.742. Which is the second smallest value? (a) r (b) -7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*n**2 + 14*n**6 - 31*n**2 + 16*n**2 wrt n.\nAnswer: 1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*h*o*p - 4*h*o - 26982646*h*p - 52569*o*p + 2*p wrt o?\nAnswer: 10*h*p - 4*h - 52569*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/17 (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1)*1 - 0. Suppose s - 4*y = y + 60, w*s - 5*y = 130. Let r(z) = -z**3 - 9*z**2 - 25*z - 9. What is the remainder when s is divided by r(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = 1, 2*a = 3*f - 20. Solve f*x - 10*x + 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7\/8)*h*h**(-6\/11))**(-14))**(-2) assuming h is positive.\nAnswer: h**(357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239897122.\nAnswer: 2, 619948561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 2*j + 10, -4*a + 2*j + 8 = 6*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*l**3 - l**2 - 75393*l - 1173987856 wrt l?\nAnswer: -204*l**2 - 2*l - 75393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - p + 1. Let q(b) = 6*b**2 + 5*b + 10. Determine 5*c(l) + q(l).\nAnswer: -14*l**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 690*b + 4236. Let n be p(-6). Solve -n*l + 101*l - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233397 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -140?\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-3)\/(-4)*-2). Let u be 1\/((-1)\/(-4)) + p. Suppose -m = u*m - 63. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 35*n + 16. Calculate the remainder when 391 is divided by y(10).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8987\/8 + 1124. Which is the nearest to -2\/3? (a) 0.4 (b) l (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*w = 4*w + 64, -2*a = -w + 119. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 52*v + 316 = -13*v + 2*d, -2*v + 17 = -4*d + 119 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - f - 15, -2*q = -5*f + 10*f + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351238780 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-1040)*-70*-4)\/((-7)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118504742 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 - 234.3. Sort i, 9, 5, 3 in decreasing order.\nAnswer: 9, 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2392\/(-1616) + (-152)\/32*132\/(-418).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (15 + -9 - -20).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246479780.\nAnswer: 2, 5, 19, 648631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08812 times 47416?\nAnswer: 4178.29792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22076, 44216, 66438, 88748, 111152?\n\"Answer: f**3 + 35*f**2 + 22028*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 571132 a multiple of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392745891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**3*t - 33*k**3 - 2*k**2*t - 8*k**2 - 5701*t + 7 wrt t?\nAnswer: k**3 - 2*k**2 - 5701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010704 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in -0.3, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -c - 4*n, -5*c + 35 = 2*n - 0. Solve 0 = -2*j + 5*v - 23, 3*j - c*v + 20 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u + 2 + 26*u - 2.\nAnswer: 75*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158\/5 + 472\/5*z + 6\/5*z**2.\nAnswer: 2*(z + 79)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Let s = 6 - r. Suppose 66 = 4*b + 3*a, -40 = -2*b - 0*a + 2*a. Solve -q = -3*d + b, d - 6*d = -s*q - 31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**3 - 480*k**2 - 6185*k + 32100 = 0.\nAnswer: -15, 4, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-4)*o\/(o**7\/o)*o*(o\/o**0*o)**(-5\/7) assuming o is positive.\nAnswer: o**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1415*j*r**3*t + j*r**3 + 180*j*r + 6*r**3 - 2*r*t + 16*r - 3*t wrt r.\nAnswer: -8490*j*r*t + 6*j*r + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h - h)*(h + h**3 - h) - 175*h**4 - 171*h**4 + 334*h**4 as a + o*h**4 + b*h**2 + n*h**3 + g*h and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 28 = -2*k - 3, 4*p + k = -43. Let g = -7 - p. Solve 0 = -g*y - 3 - 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/24 - 9*s**3\/4 - 7*s**2 - 26*s. Factor u(k).\nAnswer: (k - 28)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/45 greater than or equal to -1022.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7602 by 181.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 12. Let h be (-6 + 4)\/((-1)\/n). Is 2\/16*14*h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(6\/(-32)). Let x = -434 + 157. Let a = -278 - x. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - x + 107 = -5*v + 124, -3*x = v + 68 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d**3 - d**3)*(2*d - 3 + 3) - d - 2*d**4 + d - 3*d**2 - 2*d**4 + 3*d**2 + (-2*d**4 + 2 - 2)*(-8 - 1 + 8).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3449841, 13799323, 31048465, 55197273, 86245753, 124193911, 169041753, 220789285?\n\"Answer: t**3 + 3449824*t**2 + 3*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + i + 2. Let h(k) = -51*k**3 - 9*k**2 + 4. Calculate 6*c(m) - 2*h(m).\nAnswer: 102*m**3 + 6*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1368 - 1369. Let p(r) = -r**3 + 5*r**2 + r + 5. Let g be p(5). Let a be (1\/2*f)\/((-1)\/g). Sort -1, a, 3.\nAnswer: -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3 - 114325*c**2 + 2*c + 1413984.\nAnswer: -3*c**2 - 228650*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 + 2 - 4)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2229960 by -1114980.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*h - 1496, 4*r = -0 - 12. Let p = h - -947. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*538729\nAnswer: -53872.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.0026 nanograms to micrograms.\nAnswer: 0.6710026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*d = -d + 60, 0 = -d + 5. Suppose -5*i = 4*a - f, -14 + 4 = -2*a. What is the first derivative of z**4 + 2 + i - 17*z**4 + 1 wrt z?\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -22 - (0 + 14 - (-4 + 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331*b**2 + 215*b**2 - 902*b**3 - 182*b**3 - 1 wrt b?\nAnswer: -6504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -20. Let l(o) = -5 + 4*o**2 - 7*o + 11*o - i*o. Let j(g) = 4*g**2 - 6*g - 6. Let q = 2 - -4. Give q*l(p) - 5*j(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 0*w - 1870. What are the prime factors of w?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Suppose 0 = -2*a - a. Let p(x) = 4*x + a*x - 6*x - 8*x. Give p(z(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11366.08l?\nAnswer: 11366080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24*3\/12*(-2)\/(-4). Suppose a*z + 4 = 5*z, -3*z - 509994 = m. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 2515657904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 27 - 5\/8*n**4 + 0*n + 0*n**3 - 1\/2*n**5 + 0*n**2. Factor d(f).\nAnswer: -5*f**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*y**2 - 4*y + 4*y + 434*y**2.\nAnswer: 519*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*x + 6, 4*j + 4*x - 6*x = 6. Put -2, -7, j, 0 in decreasing order.\nAnswer: j, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3088919 - 3492*x + 3088919)*(2*x + 2*x - 6*x) in the form n*x + d + u*x**2 and give u.\nAnswer: 6984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 65942852 * -0.5\nAnswer: -32971426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = s - 19, -39387*s - 2*i - 12 = -39385*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 192*z - 435. Let n be m(4). Calculate the greatest common factor of n and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63732*v + 63395*v = 15165 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + (sqrt(108) + sqrt(108)*2 + sqrt(108) - sqrt(108)))*2)\/(sqrt(24)\/(2*sqrt(6)*5)) + 3)*-1.\nAnswer: -240*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose 7*r + 680 = q*r. Let u = r - -231. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24576.815 - 4.\nAnswer: 24572.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**4 + 32058*r**2 + 261*r**3 - 33369*r**2 - 1320*r**3 wrt r?\nAnswer: 24*r - 6354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 19*w**2 + 55*w + 33. Determine z(-22).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e1c (base 15) to base 8.\nAnswer: -31766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/3)*b)*b)\/(b*b\/(b\/b**(-4\/7)))*(b*b*b**(-3)\/b)**(1\/69) assuming b is positive.\nAnswer: b**(584\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88592 divided by 42.\nAnswer: -6328\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20.1. Let x be (24\/9 + 4)*-3. Let l be -2*(36\/x - -2). Which is the nearest to p? (a) 5\/3 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1647 and 1565931.\nAnswer: 14093379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -202*p + 172*p + 3960. Suppose 5*g - 63 = -5*j + 12, -2*j = -3*g + 30. What is the greatest common divisor of p and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/110 and 70\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3232 by -404.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:03 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (20\/15)\/(-2 - 28\/(-15))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 5*n - 1, 1234*n - 1229*n = -3*l + 41 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/53 - -267\/106. Let f be (-1)\/(-1 + 492\/489). Let u = -818\/5 - f. Which is the nearest to -2? (a) 1\/7 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2*179\/(-4)). Is b at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w + 4. Give x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 333 - 138. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618576 divided by 16.\nAnswer: 38661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let l(c) = -c**2 - c - 1. Let q(h) = -3*h**2 + h + 1. Let j(b) = 5*l(b) + 5*q(b). Give a(j(i)).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s + s - 120. What is the remainder when 1 - (-101 - (0 + 2)) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4676)\/(-18) + 8\/36. Suppose -5*u - 8 = 5*b - 633, -4*u = 2*b - c. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*p + 116, 3*p = 2*q + 4*p - 78. What is the remainder when q is divided by ((-525)\/(-75))\/((-1)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 162. Let p = s + 109.7. Let q = -25.507 + p. What is q rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 - 20 + 116)*(2*m**4 + 2*m**4 - 3*m**4).\nAnswer: 177*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*f + 330 - 1530 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 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: What is the nearest to -2 in 3, -0.2, -4, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 2560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -78) + -3 + -4 + 10 + 10 + -13?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1330*o**2 + 1475*o**2 - 2805*o**2 + 11339*o**3.\nAnswer: 11339*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 9*g + 14. Let y be i(2). Which is smaller: -11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105 + (-53 - -1) + -34?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*c + 8, 14 = 4*c - 2. Suppose 0 = 11*h - q*h + 480. What is the remainder when (2 + 2)\/((-4)\/h*5) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let u be h(-3). Suppose -3*j = -b - 2, u*j + 3*b = 2*b + 12. Suppose 18 = j*k + k. Solve 3 + k = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 959493677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -894*-7*8\/(-588)*7. Let a = w - -602. Let p(r) = r + 6. Give p(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 11 + 10 + -6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16272 and 56448?\nAnswer: 6378624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 9*r**3 - 2 - 8*r**3 in the form l*r**2 + h + n*r + a*r**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/280 + 2*p**5\/35 + 5*p**4\/14 + 8*p**3\/7 - 22*p**2 + 2*p. Factor x(h).\nAnswer: 3*(h + 2)**2*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.6 - -23.3. Which is the smallest value? (a) p (b) 1 (c) -0.1 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**3\/6 + z**2 + z. Let q be x(-3). Let l be 5 + (-2 + 3)*q. Solve 4 = -4*c + 20, -l*b = -5*c + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*s + 4 = 2, -5*s = -4*m + 4. Let a(w) = 2*w**3 - w**2 + w. What is the smallest common multiple of 6 and a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + 0*u)*(-7 - 3 - 2).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from zooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -356, -803, -1428, -2231, -3212, -4371?\nAnswer: -5708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -23265023 greater than -23265005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1878532509 minus -0.3?\nAnswer: -1878532508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2078197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -41*h - 68. What is the smallest common multiple of j(-3) and 35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.09, 0.4, 434?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168775*l - 506318*l + 168770*l + 2 + 168773*l + 4*l**2.\nAnswer: 4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -218, -839, -1862, -3281, -5090, -7283?\n\"Answer: j**3 - 207*j**2 - 7*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 10 - 101)*(2*v**4 + 2*v**4 - 2*v**4) + v**4 - v + v + 3*v**4 + 0*v**4 - 5*v**4 to the form r*v**3 + o*v**2 + j*v + k + d*v**4 and give d.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 83.63108 meters?\nAnswer: 83631080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 - (3 + 3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 190 - 84*f + 187 - f. Let g be p(-2). Let o(r) = -161 + g - r. Let x(y) = -31*y**2. Give o(x(q)).\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(6\/(-6363)). Let z = 1036 - u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 669712584 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 3328*o - 23296. Give f(-7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbtbk. What is prob of picking 1 k and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -461, -1908, -4305, -7640, -11901, -17076?\n\"Answer: 2*g**3 - 487*g**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7810238.\nAnswer: 2, 3905119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037868074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 226*m**2 + 5*m - 5. Let d be g(1). Suppose -1004 = -5*k + d. What are the prime factors of k?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.12 plus -3480285151?\nAnswer: -3480285148.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 - 5*f - 4. Find the first derivative of s(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 21*g - 23. Let t be v(-20). Let y = -19 - t. Suppose -3*s + 21 = -3*n - y, 30 = -2*n - 3*s. Do n and -41\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209589241 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let s(n) = -4*n - n + 3*n. Let c be 40\/7 + (-2 - -6 - (-52)\/(-14)). Determine c*q(j) + 2*s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 1, w: 2, l: 1}. Give prob of sequence iwi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 8*z**2 - 336*z - 93. What is a(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tycnnttctctgccycccy. Give prob of picking 2 y.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.2. Let v = -125 + 152.8. Let d = -28 + v. Sort f, 1, d in descending order.\nAnswer: 1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51204 + -5?\nAnswer: 51188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c + 20. What is the remainder when i(-2) is divided by -1 + 1 + 14 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 2*a**2 + 2*a + 4. Determine t(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5 - 170*m**4 - 277*m**3 - 110*m**2 = 0.\nAnswer: -55, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/240 - y**4\/48 - y**2 + 75. What is a in n(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/24*(-1104)\/207.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -2 - 10 - -6) + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131631503 to the power of 1\/2, to the nearest integer?\nAnswer: 11473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + -4 + sqrt(432))*5 - (1 + 2 + sqrt(432) - (sqrt(432) - (sqrt(432) - (-3 + sqrt(432) + 2 + sqrt(432)))))**2).\nAnswer: -1912 + 624*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y - 2. Let a be (-1 - 0)*12\/(-6). Suppose 0*o - a*o = 0. Solve o = -3*z - y + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*u - 2. What is the third derivative of z + 2*z**2 + z**3 - z + 2*z**u wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56766 divided by 230\nAnswer: 28383\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*(d**(-4)*d*d)\/d*d)\/(((d\/(d\/(d*d\/d**(-3)*d)*d))\/d)\/d))\/(d**(1\/3)\/(d\/(d*d**(1\/4)*d))))**(3\/4) assuming d is positive.\nAnswer: d**(-55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41603463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553 is divided by 396?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -736 by -1.\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyykkqkynyjykyyqy. What is prob of sequence jjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 13*g**2 - 11*g + 16. Let c be l(-12). Suppose 5*b - 11 = c. What is the highest common factor of b and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/324 and 149\/3564?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:38 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122151540 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cducdcmmlcupc. What is prob of picking 1 p, 1 c, and 1 u?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 332*k**2 + k + 2*k - 3*k.\nAnswer: -332*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1111000000000010100?\nAnswer: 1111000000000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 8) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1331*y - 1330*y - 159 = 0. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezz when three letters picked without replacement from {o: 3, w: 2, x: 1, z: 4, t: 1, e: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let j(s) = 0*s + 5*s - 1 - 4*s. Let r(x) = -12*x + 6. Let c(y) = 4*y - 2. Let h(l) = 8*c(l) + 3*r(l). Calculate v*h(z) + 2*j(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 4\/(-4)*1. What is the units digit of ((-28)\/q)\/((-4)\/6) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5 - 13 = 0. Solve 5*w = -c*x + 22 + 13, 2*w = x + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28361311?\nAnswer: 11, 31, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/u**1)\/(u*u\/u**(-1\/6)*u**(1\/4)) assuming u is positive.\nAnswer: u**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -18, -9, 14, 57, 126, 227, 366?\n\"Answer: d**3 - 2*d**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(1\/9). Let v(w) = -w - 2. Let h(o) = 2*o + 4. Let i(c) = -2*h(c) - 5*v(c). Calculate i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8120, -32364, -72760, -129302, -201984, -290800, -395744?\nAnswer: -516810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*p + 35 = 36, 0 = -b - 3*p - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -71, -1, 0.8, -6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*y + 2209, -3691 = -5*j + 15*y - 14*y. Suppose -4*t + j = -381. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0, 2, -558, 2\/9?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40532, 74201, 107870, 141539?\n\"Answer: 33669*d + 6863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7722)\/162)\/((-143)\/(-78))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -501*j*s**2 + 33*j*s - 234935*j - 23892*s**2 wrt s.\nAnswer: -1002*j - 47784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 814942.9 nanograms in milligrams?\nAnswer: 0.8149429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91195 and 3588.\nAnswer: 1094340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2170 = -2*x, 26*x - 31*x + 5450 = -5*d. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 24*r - 1. Let o(u) = u**2 + 38*u - 74. Let l be o(-40). Let c(s) = -25*s + 1. Let f(p) = l*c(p) + 7*g(p). Let d(a) = -a**2. What is f(d(h))?\nAnswer: -18*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 36. Let u(n) = -f*n**2 - 3 + 3*n + 16*n**2 + 20*n**2 - 4*n. Let s be u(-2). What is the greatest common factor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 times 13\nAnswer: -1885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 173974752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -612 - -608. Let k = -0.1 - -1.1. Which is the second biggest value? (a) g (b) -3\/2 (c) k (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541543.\nAnswer: 17, 90679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 76*s**2 + 2*s + 158. Determine g(-76).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40935973?\nAnswer: 13, 71, 44351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6*a = -a - 201, -3*a = -0*a. What is the remainder when 1135 is divided by c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, -1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 1. Let b(p) = -p**3 - 5*p**2 - 6*p - 6. Let t be b(-4). Is t >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 54756*w**2 + 109516*w = 0. What is w?\nAnswer: -54758, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.22. Let s be (1\/3)\/((-112)\/84). Which is the biggest value? (a) s (b) h (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -44. What is the greatest common divisor of s and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (834\/(-210) + 4)\/((-59)\/295)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in 0.3, -5, 1\/3, -1\/5, 1\/2670?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 10. Let y be a(-7). Calculate the remainder when 3 + -5 - y - -2 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4 - 8. Let r be (3 - (-21)\/(-5))\/(h\/15). Let w(o) be the second derivative of o**4\/12 - o**3\/3 + o**2\/2 + o. Calculate w(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/1710*6\/4.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*h = 2*h + 17, 8 = -2*h. Calculate the smallest common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1873, -3725, -5565, -7387, -9185, -10953, -12685, -14375?\n\"Answer: c**3 - 1859*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3\/4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5 + 8536*q**4 - 426312*q**3 + 3396944*q**2 + 426308*q - 3405480 = 0?\nAnswer: -2183, -1, 1, 10, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*v + 275069*i**3*z + 7*i**3 - 3*i**2*v*z + 10*i**2*v + 5*i**2*z - 3*i*v*z - v*z - 3506*v - 1 wrt i?\nAnswer: -12*v + 1650414*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 33 = g - 2*g, 58 = g + 4*p. Suppose 0 = -3*y - 22 - g. Let l be (y\/(-12) - -1) + -2. Put 0.1, l, -5 in descending order.\nAnswer: l, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(5 + 1 + sqrt(252)) - -5*(sqrt(252) + 0 + 4)))**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3770*w**2 - 28*w - 6. What is the tens digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -35, -37, -41, -47, -55, -65?\n\"Answer: -k**2 + 3*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1256*n - 61*n**3 - 538*n - 718*n.\nAnswer: -61*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**2 - 9. Let m(h) = -29*h**2 - 19. Let f(y) = 4*m(y) - 9*o(y). What is the first derivative of f(x) wrt x?\nAnswer: 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5*f)\/f)\/f)**(1\/11) assuming f is positive.\nAnswer: f**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 4) to base 3.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3306*v**6 + 2*v**3 - 2*v**2 + 118548?\nAnswer: -396720*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 2, t: 2, z: 1, d: 1, f: 2}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 > -2298966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/20287, -1\/6, -1\/2.\nAnswer: -1\/2, -1\/6, 2\/20287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*(-3 + (6*(sqrt(128) + 0) - sqrt(128) - (sqrt(128) + sqrt(128)*-2 + -5 - sqrt(128)))))**2 + -2).\nAnswer: -25102 - 896*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t + 3. Let w be x(-4). Let z = w + 61. Find i such that 3*i**4 - 68*i**z - 145*i**4 - 160 + 240*i**2 + 66*i**5 - 21*i**5 - 240*i + 200*i**3 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 31 = p. Calculate the highest common divisor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - v - 13. Let r(h) be the first derivative of h**3\/3 - h**2\/2 - 1299. What is -k(d) - r(d)?\nAnswer: -2*d**2 + 2*d + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7212787 to two dps.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 109.0348 nanograms?\nAnswer: 0.0000001090348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.03, -11, 42, -2.4, 0.2, 0.5?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 25 = -2*f. Let g(l) = l**2 - l - 7. Let n be g(4). Solve -3*k - 2*c + n*c = -9, -f*k + 4*c = -11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0 - 2*h**3 + 2 + 0*h to the form g*h**2 + w*h**3 + p*h + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 405, 1086, 2039?\n\"Answer: 136*o**2 + o - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 397 in 4, 1\/5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619 = -2*x + 3*p, 3*x + 2*x + p - 1522 = 0. Let z be x\/85 - 6 - -3. Sort z, -2\/5, -1\/7 in descending order.\nAnswer: z, -1\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 5 + 19. Let u(f) = -f + 4. Let q be u(0). Let i(h) = -3*h - q*h**2 - h**3 + 2*h - 3 - h. Give i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 - -386. Suppose 5*t - 1212 = w. What is the greatest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(3\/(-9)). Is 0 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 2670, 6070, 10838, 16968, 24454?\nAnswer: 33290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -420, -3336, -11256, -26682, -52116, -90060?\n\"Answer: -417*i**3 + 3*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.38.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 7*a**3\/3 - 4*a**2 - 23. What is the second derivative of t(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -190, -55224 in descending order.\nAnswer: 4, -190, -55224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*(sqrt(396) + (sqrt(396) - (1 + sqrt(396)*-3)) - sqrt(396)))**2)*-2.\nAnswer: -456274 + 3456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 160. Let q be k(-13). Let v = -2 - -4. What are the prime factors of 6\/q - (-71)\/v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1147*v**2 - 6*v**4 + 43*v + v**3 + 1151*v**2 + 5*v**4 as t*v + k*v**4 + w + d*v**2 + p*v**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 4*g - g - 3*g + 4. What is the remainder when f(7) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + a + 3*a + 24, 4*y = 4*a - 36. Let l(o) = o**3 + 9*o**2 - 8*o + 6. Let d be l(y). Let m be 4\/d + (-115)\/(-35). Put 1, m, 5 in decreasing order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 5. Let z be a(-7). Suppose 5*n + z = n + 4*g, g = 5*n + 51. Let t(v) = -v**3 - 8*v**2 + 13*v - 14. What is the tens digit of t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t)\/t*t\/t**(2\/13))**(14\/5)\/(t*(t**(-1\/6)\/t*t)\/t*t**(4\/7)*t)**34 assuming t is positive.\nAnswer: t**(-39029\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 128084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11694 divided by 6?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = t + z, -4*t + 2*z = -t - 141. Let j(f) = -f**3 + f**2 + 12. What is the remainder when t is divided by j(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, -50 in ascending order.\nAnswer: -50, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/5 - 951*b**3\/5 - 227516*b**2\/5 - 670236*b\/5 + 898704\/5 = 0 for b.\nAnswer: -474, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-1)\/((m*m**1\/m*m)\/m*m*m**6) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r + 16*r**3 - 236*r + 0*r**2 + 0*r**2.\nAnswer: 16*r**3 - 215*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 4)*(-12)\/(-4). Let y(o) = -o**3 - 9*o**2 - 4. Let r be y(b). Suppose 3*d + 2*a - 3*a = -4, 2*a = 3*d + 2. What is the nearest to -1 in r, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15546 and -16.\nAnswer: 15530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -7*x**2\/2 - 4*x - 5. What is the derivative of q(j) wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 7. Let h be (-1)\/(2 + (-2 - c)). List the prime factors of h\/3 - 20\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2 + 19*f - 41. Give x(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -462*i**2 - i. Let z be b(1). Suppose -1891 - 3789 = -5*k - 3*a, 0 = 5*k + 4*a - 5680. Let m = z + k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 minus -0.2?\nAnswer: 1564.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6684 - (18\/(-15) + (-12)\/15). Let n = 10936 + d. Suppose 3*u = -0*u + n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(66)\/(sqrt(6) - (sqrt(42)\/sqrt(7) + sqrt(6))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69b6c (base 13) to base 10\nAnswer: -193088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5130, -20557, -46278, -82293, -128602, -185205?\n\"Answer: -5147*k**2 + 14*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.49 + -0.27. Let h = p - 0.12. Let s = h - 3.1. What is the closest to -1\/3 in 3\/2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13038\/11 + 1186. Sort -0.01, y, -3 in ascending order.\nAnswer: -3, -0.01, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346 and 32351.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -2\/7, 2, 0, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, -2\/29, 2, -140, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 11 + 9. Suppose c*s + 68 = 2*j + 20, 2*j + 3*s = 41. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67.6546877 and -126.6.\nAnswer: -194.2546877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5))\/((-6)\/40). Let i(t) = t**2 - 4*t + 10. Let r be i(u). What is the greatest common factor of r and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z - 15. Let v be 0 - (-6 + z - -1). Suppose v*y = 5*b - 0*b + 612, 0 = y + 4. Round b to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/3 + 0 + -2. Suppose -75 = 5*a - 5*s, -5*a + f*a - 3*s - 51 = 0. Let l be (-4)\/(a\/9) - 3. Solve -8 = 2*w, 2*u - 6*w + w - 26 = l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2 - 2 + (-2 - 3 + 3)*(3*y + 0*y - 2*y))*(-20*y**2 - 15*y**4 + 20*y**2).\nAnswer: 60*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-90)*8\/10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4619937855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(30)\/(sqrt(48)\/sqrt(8)) + -2 + (sqrt(5) - sqrt(30)\/(sqrt(24)\/sqrt(4)) - sqrt(5))**2.\nAnswer: -sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = 30*p - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26188.1 rounded to the nearest one hundred?\nAnswer: -26200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i + 4. Let y = -121 + 123. Suppose a + 44 = 2*k, -a + 99 = 5*k + y*a. Calculate the remainder when p(6) is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 4:54 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + i**2 - i**2 - 3*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 682 = -2*q, 4*y - 1368 = -4*q. Suppose 4*i + 4*c = q, -2*i - 2*c = c - 169. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42512, 340206, 1148272, 2721908, 5316312, 9186682, 14588216?\n\"Answer: 42533*m**3 - 12*m**2 - m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -748769, -748616, -748463?\n\"Answer: 153*r - 748922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*q + 5*d + 8, q = -d - 4. Let k be 1 + (-1 - 0) - -3. Suppose 3*s + 24 = 3*y, q = -y + k*s - 8*s + 32. Solve y = o - 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 91*g - 35 + 41 in the form m + n*g and give n.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-1)\/(-1) - (-3 - 38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - (-396)\/(-72).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54966 - -989105\/18. Let a = 31\/2 + q. Let h(l) = -l**3 - 18*l**2 - 17*l - 1. Let x be h(-17). Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -367025, -367022, -367019, -367016?\n\"Answer: 3*n - 367028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41481610 - -0.53076.\nAnswer: -41481609.46924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -25*b + 1683. Give c(67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 + r - 3. Let p be v(-3). Does 9 divide (-3)\/p + 117\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - d + 4. Calculate the remainder when w(-3) is divided by (-20)\/(-12) + 1536\/72.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/30*(-1599)\/(-488228)?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:54 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**3\/3 + u**2\/2 - 3*u - 40. Let q be w(-2). What is the greatest common divisor of 75 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 27. Let d be z(6). Let g be d\/(15\/5) + 13. Find the third derivative of -3667*i + 3667*i + 23*i**3 - g*i**2 wrt i.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(36\/(-180))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + 21*g**2 + 18*g + 2. Let q(f) = -20*f**3 - 63*f**2 - 55*f - 5. Let j(v) = -14*m(v) - 4*q(v). Factor j(r).\nAnswer: -2*(r + 1)*(3*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914*k + 757*k + 157 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00064 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1199, -5, 1, -13.\nAnswer: -1199, -13, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 417 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 12*l - 13. What is the tens digit of w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let b be (-3828)\/(-176) + (-10)\/(-8). Suppose -b*q = -22*q - u. Solve 0 = -0*i - q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*i**4 + 79*i**4 - 167*i**4)*(-24*i - 542 + 542).\nAnswer: 120*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29766065*r**4 + 34288599*r**2 wrt r?\nAnswer: 714385560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11000 + 10?\nAnswer: -10440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2782 and 30598148?\nAnswer: 30600930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(65) + sqrt(65)*-1)\/sqrt(5))*-5 + 1 + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1428*p - 2261. What is the thousands digit of z(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8.5. Which is smaller: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 5. Let m(i) = -2*i**2 - 32*i + 33*i + i**2. Let t be m(3). Give r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 4, a: 6}. Give prob of picking 2 j and 1 a.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63502523*o - 240031975 wrt o?\nAnswer: -63502523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -41108379 < -41108379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Suppose 463*f - 10 = 468*f. Let n = 0.06 - 5.06. Put n, f, s in increasing order.\nAnswer: n, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + (-4 - -8))\/1. Let o be (-11)\/11 + (k - -17)\/2. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58244.\nAnswer: 2, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297 + -2671\/9. Which is the nearest to -1\/3? (a) i (b) -2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*k + 148 + 487*k - 244*k.\nAnswer: 2*k + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 6. Let v(t) = -7*t**3 + 10*t**2 - 10*t. Let f = -54 - -51. Let q(h) = -4*h**3 + 5*h**2 - 5*h. Let i(s) = f*v(s) + 5*q(s). Calculate i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:52 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 37, 78, 145, 244, 381, 562, 793?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:55 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294 - 294 - 5*m + 13*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + 5*sqrt(2299)*1) + -4 + (2*sqrt(2299)*5 - (sqrt(2299) + (sqrt(2299) - (sqrt(2299) - (-1 + sqrt(2299)))) + 4)))**2.\nAnswer: 792*sqrt(19) + 331065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 2 + sqrt(1900) + -1 + sqrt(1900) + -4) + 5.\nAnswer: 11 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 65 - 11 = -2*t, 2*g = -3*t - 97. Find the common denominator of (-2)\/(-4) + t\/3 and 1*17*(-10 + 792\/80).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2956430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -71135153?\nAnswer: 71135147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 6*x - 6. Let s be n(-7). Suppose 4*h + s = 2*t + 3, -4*h = 0. What are the prime factors of 42\/8 + t\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r - 145. Let u(y) = 4*y + 49. Calculate -3*q(h) - 8*u(h).\nAnswer: h + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 14\/(-10)) + 39\/15. Suppose -o*u - 10*u + 39 = 0. Suppose -q + 20 = u*q. Solve -q*r + 4*r - 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 6*g**3 - 56*g - 37 + 24 - 7*g**3 - 2*g**4 + 15 in the form d*g**3 + t*g**4 + m*g**2 + k + s*g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - 11*a. Let i(c) = c**2 + 2*c. Suppose -3*h = -w - 2, 0 = 34*w - 36*w - 2*h - 4. Determine w*j(z) - 11*i(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g + 43*g + 42*g - 51 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -305 - 15cb4?\nAnswer: -162b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 1. Let q(f) = 196*f + 1. Let p(k) = 2*g(k) + q(k). Let c(a) = -197*a + 2. Let y(m) = 5*c(m) + 4*p(m). Find the first derivative of y(t) wrt t.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7476824, -14953632, -22430440?\nAnswer: -29907248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 - 45 + 62 + 21 - 38.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - (-8033)\/(-3324).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53551*p + 864 = 53557*p. What is the remainder when 598 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3555053 - 3010\nAnswer: -3010.3555053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*d - 2475 - 2980, h - 2*d - 1112 = 0. What is the remainder when h is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-250)\/(-6) + 48\/36)*4. Factor -183*j**2 - o*j**2 + 116*j + 118 + 531*j**2 - 178*j**2.\nAnswer: -2*(j - 59)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q - 13. Give j(-13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -773072.\nAnswer: 3\/386536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}